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)

sample791.0ms (9%)

Results

575.0ms	8250×	0	valid
1.0ms	5×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-div: 168.0ms (54.2% of total)

ival-mult: 66.0ms (21.3% of total)

ival-add: 51.0ms (16.5% of total)

const: 22.0ms (7.1% of total)

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

Bogosity

preprocess23.0ms (0.3%)

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)

explain94.0ms (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

62.0ms	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: 22.0ms

ival-div: 12.0ms (53.4% of total)

ival-mult: 6.0ms (26.7% of total)

ival-add: 3.0ms (13.4% of total)

const: 1.0ms (4.5% of total)

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

eval0.0ms (0%)

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

prune4.0ms (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)

localize42.0ms (0.5%)

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	99.7%	(*.f64 #s(literal 841/108 binary64) x)

Results

34.0ms	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: 22.0ms

ival-add: 10.0ms (46.2% of total)

...c/correct-round.rkt:119:19: 8.0ms (37% of total)

ival-mult: 3.0ms (13.9% 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)

rewrite315.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4122×	`/-lowering-/.f32`
4122×	`/-lowering-/.f64`
3440×	`-lowering-.f32`
3440×	`-lowering-.f64`
1716×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	23	7
2	157	7
3	1416	7
0	8145	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 185

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

simplify11.0ms (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)

eval26.0ms (0.3%)

Compiler: Compiled 6893 to 558 computations (91.9% saved)

prune44.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	201	8	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	201	9	210

Accuracy

100.0%

Counts

210 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
▶	99.7%	(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 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
▶	74.2%	(/.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 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
	75.0%	(/.f64 (+.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)))
▶	75.0%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
	65.1%	(/.f64 #s(literal 1 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 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)) #s(literal 1 binary64))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
	51.4%	(*.f64 #s(literal 841/108 binary64) x)
▶	50.7%	#s(literal 4/29 binary64)

Compiler

Compiled 238 to 171 computations (28.2% saved)

simplify177.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	64	(neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
✓	cost-diff	6656	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.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 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 (/.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 x (*.f64 x #s(literal 707281/11664 binary64))) #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 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	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	64	(neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
✓	cost-diff	6656	(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 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))

Rules

2366×	`fnmadd-define`
1814×	`fma-define`
1388×	`fmsub-define`
1356×	`fnmsub-define`
1228×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	196
1	76	192
2	145	188
3	302	168
4	583	168
5	1205	168
6	2460	168
7	3686	168
8	5332	168
9	6707	168
10	6813	168
11	6986	168
12	7037	168
13	7053	168
0	7053	168

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize244.0ms (2.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
✓	accuracy	99.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
✓	accuracy	75.1%	(/.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 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))
✓	accuracy	99.7%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.7%	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
✓	accuracy	74.9%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	accuracy	99.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.5%	(/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))

Results

173.0ms	251×	0	valid
5.0ms	1×	5	exit
4.0ms	3×	1	valid
2.0ms	1×	2	valid

Compiler

Compiled 222 to 31 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

...c/correct-round.rkt:119:19: 43.0ms (37.8% of total)

ival-mult: 24.0ms (21.1% of total)

ival-div: 19.0ms (16.7% of total)

compiled-spec: 16.0ms (14.1% of total)

ival-add: 9.0ms (7.9% of total)

ival-neg: 2.0ms (1.8% of total)

backward-pass: 1.0ms (0.9% of total)

const: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts

17 → 204

Calls

Call 1

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

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 (* 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 (+ 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 (+ 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) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<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 -29/4>
#<alt (- (* -707281/1728 x) 29/4)>
#<alt (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)>
#<alt (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)>
#<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 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) 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 (* 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 (* -29/4 x)>
#<alt (* x (- (* -707281/1728 x) 29/4))>
#<alt (* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))>
#<alt (* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))>
#<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))>
#<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 -841/16>
#<alt (- (* -500246412961/2985984 (pow x 2)) 841/16)>
#<alt (- (* (pow x 2) (- (* -297558232675799463481/557256278016 (pow x 2)) 500246412961/2985984)) 841/16)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -176994576151109753197786640401/103997395628457984 (pow x 2)) 297558232675799463481/557256278016)) 500246412961/2985984)) 841/16)>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))>

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (+ 16/841 (* -707281/11664 (* x x))) (+ 4/29 (* x -841/108)))
1.0ms	x	@	inf	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (neg (/ 16/841 (+ (* 841/108 x) -4/29))))
1.0ms	x	@	0	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (neg (/ 16/841 (+ (* 841/108 x) -4/29))))
1.0ms	x	@	-inf	(* x 707281/11664)
1.0ms	x	@	-inf	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (neg (/ 16/841 (+ (* 841/108 x) -4/29))))

rewrite517.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3024×	`/-lowering-/.f32`
3024×	`/-lowering-/.f64`
2594×	`-lowering-.f32`
2594×	`-lowering-.f64`
2556×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	123
1	197	78
2	1616	78
0	8551	78

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1515

Calls

Call 1

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

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

simplify305.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2216×	`-lowering-.f32`
2216×	`-lowering-.f64`
1750×	`+-lowering-+.f64`
1750×	`+-lowering-+.f32`
1684×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	1189
1	630	1043
2	1486	1031
3	3196	1027
4	6152	1027
0	8359	1027

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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)))
(* 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
(+ 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
(+ 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) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -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))))
-29/4
(- (* -707281/1728 x) 29/4)
(- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)
(- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)
(/ 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)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) 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)))
(* 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))))
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
-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))
(* -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)
-841/16
(- (* -500246412961/2985984 (pow x 2)) 841/16)
(- (* (pow x 2) (- (* -297558232675799463481/557256278016 (pow x 2)) 500246412961/2985984)) 841/16)
(- (* (pow x 2) (- (* (pow x 2) (- (* -176994576151109753197786640401/103997395628457984 (pow x 2)) 297558232675799463481/557256278016)) 500246412961/2985984)) 841/16)
(/ 11664/707281 (pow x 2))
(/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))
(/ 11664/707281 (pow x 2))
(/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))

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))
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 (* 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 (+ 20511149/46656 (* 500246412961/20155392 x))))))
(+.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)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(/ (- (* -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 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 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)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) 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 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) 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)
(* -20511149/46656 x)
(*.f64 x #s(literal -20511149/46656 binary64))
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 x (+.f64 #s(literal -20511149/46656 binary64) (.f64 x #s(literal -500246412961/20155392 binary64))))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(.f64 x (+.f64 #s(literal -20511149/46656 binary64) (.f64 x (+.f64 #s(literal -500246412961/20155392 binary64) (*.f64 x #s(literal -12200509765705829/8707129344 binary64))))))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(.f64 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
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
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(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -500246412961/2985984 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -297558232675799463481/557256278016 binary64) (.f64 (.f64 x x) #s(literal -176994576151109753197786640401/103997395628457984 binary64)))))) #s(literal -841/16 binary64))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 11664/707281 binary64) (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x)) (/.f64 #s(literal 406239826673664/250246473680347348787521 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 406239826673664/250246473680347348787521 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x))) (/.f64 #s(literal 75814101413145870336/148852438543083302439338564577241 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 11664/707281 binary64) (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x)) (/.f64 #s(literal 406239826673664/250246473680347348787521 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 406239826673664/250246473680347348787521 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (.f64 x x))) (/.f64 #s(literal 75814101413145870336/148852438543083302439338564577241 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))

eval563.0ms (6.4%)

Compiler: Compiled 70454 to 2614 computations (96.3% saved)

prune179.0ms (2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	2052	6	2058
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	2055	12	2067

Accuracy

100.0%

Counts

2067 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
	98.4%	(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
✓	74.2%	(/.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 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
▶	26.4%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 11664/707281 binary64) (.f64 x x)))
▶	99.0%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))))
▶	99.2%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
✓	75.0%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
	26.4%	(/.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
	65.1%	(/.f64 #s(literal 1 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 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)) #s(literal 1 binary64))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
▶	51.4%	(*.f64 #s(literal 841/108 binary64) x)
✓	50.7%	#s(literal 4/29 binary64)

Compiler

Compiled 428 to 238 computations (44.4% saved)

simplify550.0ms (6.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	6400	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))))
✓	cost-diff	640	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64))))
✓	cost-diff	896	(.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 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 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 11664/707281 binary64) (.f64 x x)))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	128	(.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))))
✓	cost-diff	640	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
✓	cost-diff	768	(.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))

Rules

3548×	`/-lowering-/.f32`
3548×	`/-lowering-/.f64`
3378×	`-lowering-.f32`
3378×	`-lowering-.f64`
1996×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	390
1	101	382
2	302	374
3	1131	305
4	3384	291
0	8462	291

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ (+ (* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (/ (+ (* x 841/108) -4/29) x)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -256/707281 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) x) (/.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (.f64 x #s(literal 108/841 binary64))) x))) (/.f64 #s(literal 16/841 binary64) x))
(+ (* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (* x 707281/11664)))
(+.f64 (/.f64 (/.f64 #s(literal -256/707281 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) x) (/.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (.f64 x #s(literal 108/841 binary64))) x)))
(* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) x))
(/.f64 (/.f64 #s(literal -256/707281 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) x)
(- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29))))
(/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal -16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -58/27 binary64)))))
0
#s(literal 0 binary64)
(/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))
(/.f64 #s(literal 256/707281 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -58/27 binary64)))))
256/707281
#s(literal 256/707281 binary64)
(* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29))
(+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -58/27 binary64))))
(+ (* x 841/108) -4/29)
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(* x 841/108)
(*.f64 x #s(literal 841/108 binary64))
x
841/108
#s(literal 841/108 binary64)
-4/29
#s(literal -4/29 binary64)
(/ (+ (* x 841/108) -4/29) x)
(/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)
(* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (* x 707281/11664))
(/.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (*.f64 x #s(literal 108/841 binary64))) x))
(+ 0 (/ 16/841 (+ (* x 841/108) -4/29)))
(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
(/ 16/841 (+ (* x 841/108) -4/29))
(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
16/841
#s(literal 16/841 binary64)
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
(* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (/ (+ (* x 841/108) -4/29) x))
(/.f64 #s(literal 16/841 binary64) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
841/108
#s(literal 841/108 binary64)
x
(/ (/ 1 (+ (* 841/108 x) -4/29)) (/ 11664/707281 (* x x)))
(/.f64 x (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (*.f64 x #s(literal 108/841 binary64))) x))
(/ 1 (+ (* 841/108 x) -4/29))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
1
#s(literal 1 binary64)
(+ (* 841/108 x) -4/29)
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
841/108
#s(literal 841/108 binary64)
x
-4/29
#s(literal -4/29 binary64)
(/ 11664/707281 (* x x))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
11664/707281
#s(literal 11664/707281 binary64)
(* x x)
(*.f64 x x)
(/ (+ (* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) x)) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (/ (+ (* x 841/108) -4/29) (* x 707281/11664))))
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 #s(literal 11664/707281 binary64) x) #s(literal -256/707281 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))) (/.f64 #s(literal 186624/594823321 binary64) x))
(+ (* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) x))
(+.f64 (/.f64 (.f64 (/.f64 #s(literal 11664/707281 binary64) x) #s(literal -256/707281 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) (* x 707281/11664)))
(/.f64 (.f64 (/.f64 #s(literal 11664/707281 binary64) x) #s(literal -256/707281 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
(- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29))))
(/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal -16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -58/27 binary64)))))
0
#s(literal 0 binary64)
(/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))
(/.f64 #s(literal 256/707281 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -58/27 binary64)))))
256/707281
#s(literal 256/707281 binary64)
(* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29))
(+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -58/27 binary64))))
(+ (* x 841/108) -4/29)
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(* x 841/108)
(*.f64 x #s(literal 841/108 binary64))
x
841/108
#s(literal 841/108 binary64)
-4/29
#s(literal -4/29 binary64)
(/ (+ (* x 841/108) -4/29) (* x 707281/11664))
(/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
(* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) x)
(/.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
(+ 0 (/ 16/841 (+ (* x 841/108) -4/29)))
(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
(/ 16/841 (+ (* x 841/108) -4/29))
(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
16/841
#s(literal 16/841 binary64)
(* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (/ (+ (* x 841/108) -4/29) (* x 707281/11664)))
(/.f64 #s(literal 186624/594823321 binary64) x)
(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) 4/29)
(+.f64 (/.f64 x (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (*.f64 x #s(literal 108/841 binary64))) x)) #s(literal 4/29 binary64))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
x
707281/11664
#s(literal 707281/11664 binary64)
(/ x (+ (* 841/108 x) -4/29))
(/.f64 x (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
(+ (* 841/108 x) -4/29)
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 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)
4/29
#s(literal 4/29 binary64)

localize332.0ms (3.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 x (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.8%	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
✓	accuracy	99.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.5%	(.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64))))
✓	accuracy	99.5%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64))))
✓	accuracy	99.5%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))))
✓	accuracy	99.2%	(/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.4%	(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
✓	accuracy	74.5%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 11664/707281 binary64) (.f64 x x)))
✓	accuracy	99.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.6%	(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
✓	accuracy	99.5%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
✓	accuracy	99.2%	(/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))

Results

227.0ms	251×	0	valid
6.0ms	1×	5	exit
4.0ms	3×	1	valid
2.0ms	1×	2	valid

Compiler

Compiled 539 to 39 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

...c/correct-round.rkt:119:19: 31.0ms (35.1% of total)

ival-mult: 22.0ms (24.9% of total)

ival-div: 19.0ms (21.5% of total)

ival-add: 8.0ms (9.1% of total)

compiled-spec: 4.0ms (4.5% of total)

ival-sub: 2.0ms (2.3% of total)

backward-pass: 2.0ms (2.3% of total)

const: 1.0ms (1.1% of total)

series16.0ms (0.2%)

Counts

18 → 216

Calls

Call 1

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

Outputs
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 64/24389 x)>
#<alt (/ (+ 64/24389 (* 4/27 x)) x)>
#<alt (/ (+ 64/24389 (* x (+ 4/27 (* 24389/2916 x)))) x)>
#<alt (/ (+ 64/24389 (* x (+ 4/27 (* x (+ 24389/2916 (* 594823321/1259712 x)))))) x)>
#<alt (/ -27648/594823321 (pow x 2))>
#<alt (* -1 (/ (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 11943936/14507145975869 (* 5159780352/353814783205469041 (/ 1 x))) x)) 27648/594823321) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 5159780352/353814783205469041 (* 2229025112064/8629188747598184440949 (/ 1 x))) (pow x 2))) (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x)))) (pow x 2))>
#<alt (/ -27648/594823321 (pow x 2))>
#<alt (* -1 (/ (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 11943936/14507145975869 (* 5159780352/353814783205469041 (/ 1 x))) x)) 27648/594823321) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 11943936/14507145975869 (+ (/ 2229025112064/8629188747598184440949 (pow x 2)) (* 5159780352/353814783205469041 (/ 1 x)))) x)) 27648/594823321) (pow x 2))>
#<alt -16/841>
#<alt (- (* -58/27 x) 16/841)>
#<alt (- (* x (- (* -707281/3888 x) 58/27)) 16/841)>
#<alt (- (* x (- (* x (- (* -17249876309/1259712 x) 707281/3888)) 58/27)) 16/841)>
#<alt (/ -2985984/500246412961 (pow x 2))>
#<alt (* -1 (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2579890176/12200509765705829 (* 1671768834048/297558232675799463481 (/ 1 x))) x)) 2985984/500246412961) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1671768834048/297558232675799463481 (* 962938848411648/7257147736730073114838109 (/ 1 x))) (pow x 2))) (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))>
#<alt (/ -2985984/500246412961 (pow x 2))>
#<alt (* -1 (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2579890176/12200509765705829 (* 1671768834048/297558232675799463481 (/ 1 x))) x)) 2985984/500246412961) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2579890176/12200509765705829 (+ (/ 962938848411648/7257147736730073114838109 (pow x 2)) (* 1671768834048/297558232675799463481 (/ 1 x)))) x)) 2985984/500246412961) (pow x 2))>
#<alt 16/841>
#<alt (+ 16/841 (* -58/27 x))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 58/27)))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 58/27)))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 58/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 58/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 58/27 (/ 1 x))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 58/27 (/ 1 x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 58/27 (* 16/841 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 58/27 (* 16/841 (/ 1 x))) 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 (* -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 -29/4>
#<alt (- (* -707281/1728 x) 29/4)>
#<alt (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)>
#<alt (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)>
#<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 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) 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 (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 186624/594823321 x)>
#<alt (/ 746496/17249876309 x)>
#<alt (/ (+ 746496/17249876309 (* 1728/707281 x)) x)>
#<alt (/ (+ 746496/17249876309 (* x (+ 1728/707281 (* 4/29 x)))) x)>
#<alt (/ (+ 746496/17249876309 (* x (+ 1728/707281 (* x (+ 4/29 (* 841/108 x)))))) x)>
#<alt (/ -322486272/420707233300201 (pow x 2))>
#<alt (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 139314069504/10260628712958602189 (* 60183678025728/250246473680347348787521 (/ 1 x))) x)) 322486272/420707233300201) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 60183678025728/250246473680347348787521 (* 25999348907114496/6103261246589991489578849669 (/ 1 x))) (pow x 2))) (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x)))) (pow x 2))>
#<alt (/ -322486272/420707233300201 (pow x 2))>
#<alt (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 139314069504/10260628712958602189 (* 60183678025728/250246473680347348787521 (/ 1 x))) x)) 322486272/420707233300201) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 139314069504/10260628712958602189 (+ (/ 25999348907114496/6103261246589991489578849669 (pow x 2)) (* 60183678025728/250246473680347348787521 (/ 1 x)))) x)) 322486272/420707233300201) (pow x 2))>
#<alt 4/29>
#<alt (+ 4/29 (* -20511149/46656 (pow x 2)))>
#<alt (+ 4/29 (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)))>
#<alt (+ 4/29 (* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 8/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 8/29 (/ 1 x)))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 8/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 8/29 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 8/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 8/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))>
#<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 (* -29/4 x)>
#<alt (* x (- (* -707281/1728 x) 29/4))>
#<alt (* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))>
#<alt (* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))>
#<alt 16/841>
#<alt (+ 16/841 (* 58/27 x))>
#<alt (+ 16/841 (* x (+ 58/27 (* 707281/3888 x))))>
#<alt (+ 16/841 (* x (+ 58/27 (* x (+ 707281/3888 (* 17249876309/1259712 x))))))>
#<alt (/ 2985984/500246412961 (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (+ (* 2579890176/12200509765705829 (/ 1 x)) (* 962938848411648/7257147736730073114838109 (/ 1 (pow x 3)))))) (pow x 2))>
#<alt (/ 2985984/500246412961 (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (* -1 (/ (- (* -1 (/ (+ 1671768834048/297558232675799463481 (* 962938848411648/7257147736730073114838109 (/ 1 x))) x)) 2579890176/12200509765705829) x))) (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 (- (* 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))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (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))))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29))
1.0ms	x	@	0	(/ (+ (* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (/ (+ (* x 841/108) -4/29) x)))
1.0ms	x	@	inf	(/ (+ (* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (/ (+ (* x 841/108) -4/29) x)))
1.0ms	x	@	-inf	(/ (+ (* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (/ (+ (* x 841/108) -4/29) x)))
1.0ms	x	@	0	(/ (+ (* (- 0 (/ 256/707281 (* (+ (* x 841/108) -4/29) (+ (* x 841/108) -4/29)))) (/ (+ (* x 841/108) -4/29) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) x)) (* (+ 0 (/ 16/841 (+ (* x 841/108) -4/29))) (/ (+ (* x 841/108) -4/29) (* x 707281/11664))))

rewrite414.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2928×	`-lowering-.f32`
2928×	`-lowering-.f64`
2452×	`fma-lowering-fma.f32`
2452×	`fma-lowering-fma.f64`
2200×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	212
1	270	206
2	2867	162
0	8226	162

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 699

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 16/841 binary64) x) (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 16/841 binary64) x) (.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64)) (/.f64 #s(literal 16/841 binary64) x))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) (/.f64 #s(literal 16/841 binary64) x))
(fma.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) (/.f64 #s(literal 16/841 binary64) x))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(fma.f64 #s(literal 16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) (.f64 (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) (.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(fma.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (.f64 (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64)))
(fma.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) (.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(fma.f64 (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) x))
(fma.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) (/.f64 #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 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(fma.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) 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 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) 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 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(/.f64 #s(literal 16/841 binary64) x)
(/.f64 #s(literal 16/841 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (/.f64 x (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))))
(/.f64 #s(literal 16/841 binary64) (.f64 (/.f64 x (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))
(/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))))
(/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 x (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))
(/.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 x (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/16 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 16/841 binary64)))
(/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -16/841 binary64) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 x (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))))
(/.f64 #s(literal -16/841 binary64) (.f64 (/.f64 x (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))))
(/.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (.f64 (/.f64 x (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal -256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) x))
(/.f64 (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal -256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (.f64 x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))))
(/.f64 (.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
(/.f64 (.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (.f64 (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 #s(literal -16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) x))
(/.f64 (.f64 #s(literal -16/841 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))) (.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) x))
(/.f64 (.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 x (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (/.f64 #s(literal -256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 x (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))
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simplify356.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2502×	`-lowering-.f32`
2502×	`-lowering-.f64`
2410×	`+-lowering-+.f64`
2410×	`+-lowering-+.f32`
1822×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	395	1556
1	1083	1411
2	2821	1309
3	6559	1307
0	8316	1307

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 16/841 x)
(/ 64/24389 x)
(/ (+ 64/24389 (* 4/27 x)) x)
(/ (+ 64/24389 (* x (+ 4/27 (* 24389/2916 x)))) x)
(/ (+ 64/24389 (* x (+ 4/27 (* x (+ 24389/2916 (* 594823321/1259712 x)))))) x)
(/ -27648/594823321 (pow x 2))
(* -1 (/ (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 11943936/14507145975869 (* 5159780352/353814783205469041 (/ 1 x))) x)) 27648/594823321) (pow x 2))
(/ (- (* -1 (/ (+ 5159780352/353814783205469041 (* 2229025112064/8629188747598184440949 (/ 1 x))) (pow x 2))) (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x)))) (pow x 2))
(/ -27648/594823321 (pow x 2))
(* -1 (/ (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 11943936/14507145975869 (* 5159780352/353814783205469041 (/ 1 x))) x)) 27648/594823321) (pow x 2))
(/ (- (* -1 (/ (+ 11943936/14507145975869 (+ (/ 2229025112064/8629188747598184440949 (pow x 2)) (* 5159780352/353814783205469041 (/ 1 x)))) x)) 27648/594823321) (pow x 2))
-16/841
(- (* -58/27 x) 16/841)
(- (* x (- (* -707281/3888 x) 58/27)) 16/841)
(- (* x (- (* x (- (* -17249876309/1259712 x) 707281/3888)) 58/27)) 16/841)
(/ -2985984/500246412961 (pow x 2))
(* -1 (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2579890176/12200509765705829 (* 1671768834048/297558232675799463481 (/ 1 x))) x)) 2985984/500246412961) (pow x 2))
(/ (- (* -1 (/ (+ 1671768834048/297558232675799463481 (* 962938848411648/7257147736730073114838109 (/ 1 x))) (pow x 2))) (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))
(/ -2985984/500246412961 (pow x 2))
(* -1 (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2579890176/12200509765705829 (* 1671768834048/297558232675799463481 (/ 1 x))) x)) 2985984/500246412961) (pow x 2))
(/ (- (* -1 (/ (+ 2579890176/12200509765705829 (+ (/ 962938848411648/7257147736730073114838109 (pow x 2)) (* 1671768834048/297558232675799463481 (/ 1 x)))) x)) 2985984/500246412961) (pow x 2))
16/841
(+ 16/841 (* -58/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 58/27)))
(+ 16/841 (* x (- (* 707281/11664 x) 58/27)))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 58/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 58/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 58/27 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 58/27 (/ 1 x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 58/27 (* 16/841 (/ 1 x))) x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 58/27 (* 16/841 (/ 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)
(* -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)))
-29/4
(- (* -707281/1728 x) 29/4)
(- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)
(- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)
(/ 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)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) 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)))
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 186624/594823321 x)
(/ 746496/17249876309 x)
(/ (+ 746496/17249876309 (* 1728/707281 x)) x)
(/ (+ 746496/17249876309 (* x (+ 1728/707281 (* 4/29 x)))) x)
(/ (+ 746496/17249876309 (* x (+ 1728/707281 (* x (+ 4/29 (* 841/108 x)))))) x)
(/ -322486272/420707233300201 (pow x 2))
(* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 139314069504/10260628712958602189 (* 60183678025728/250246473680347348787521 (/ 1 x))) x)) 322486272/420707233300201) (pow x 2))
(/ (- (* -1 (/ (+ 60183678025728/250246473680347348787521 (* 25999348907114496/6103261246589991489578849669 (/ 1 x))) (pow x 2))) (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x)))) (pow x 2))
(/ -322486272/420707233300201 (pow x 2))
(* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 139314069504/10260628712958602189 (* 60183678025728/250246473680347348787521 (/ 1 x))) x)) 322486272/420707233300201) (pow x 2))
(/ (- (* -1 (/ (+ 139314069504/10260628712958602189 (+ (/ 25999348907114496/6103261246589991489578849669 (pow x 2)) (* 60183678025728/250246473680347348787521 (/ 1 x)))) x)) 322486272/420707233300201) (pow x 2))
4/29
(+ 4/29 (* -20511149/46656 (pow x 2)))
(+ 4/29 (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)))
(+ 4/29 (* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)))
(* 841/108 x)
(* x (+ 841/108 (* 8/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 8/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 8/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(* 841/108 x)
(* x (+ 841/108 (* 8/29 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 8/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 8/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(* 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)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
16/841
(+ 16/841 (* 58/27 x))
(+ 16/841 (* x (+ 58/27 (* 707281/3888 x))))
(+ 16/841 (* x (+ 58/27 (* x (+ 707281/3888 (* 17249876309/1259712 x))))))
(/ 2985984/500246412961 (pow x 2))
(/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2))
(/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))
(/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (+ (* 2579890176/12200509765705829 (/ 1 x)) (* 962938848411648/7257147736730073114838109 (/ 1 (pow x 3)))))) (pow x 2))
(/ 2985984/500246412961 (pow x 2))
(/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2))
(/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))
(/ (+ 2985984/500246412961 (* -1 (/ (- (* -1 (/ (+ 1671768834048/297558232675799463481 (* 962938848411648/7257147736730073114838109 (/ 1 x))) x)) 2579890176/12200509765705829) x))) (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)
(- (* 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))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (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))))

Outputs
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 64/24389 x)
(/.f64 #s(literal 64/24389 binary64) x)
(/ (+ 64/24389 (* 4/27 x)) x)
(/.f64 (+.f64 #s(literal 64/24389 binary64) (*.f64 x #s(literal 4/27 binary64))) x)
(/ (+ 64/24389 (* x (+ 4/27 (* 24389/2916 x)))) x)
(/.f64 (+.f64 #s(literal 64/24389 binary64) (.f64 x (+.f64 #s(literal 4/27 binary64) (.f64 x #s(literal 24389/2916 binary64))))) x)
(/ (+ 64/24389 (* x (+ 4/27 (* x (+ 24389/2916 (* 594823321/1259712 x)))))) x)
(/.f64 (+.f64 #s(literal 64/24389 binary64) (.f64 x (+.f64 #s(literal 4/27 binary64) (.f64 x (+.f64 #s(literal 24389/2916 binary64) (*.f64 x #s(literal 594823321/1259712 binary64))))))) x)
(/ -27648/594823321 (pow x 2))
(/.f64 #s(literal -27648/594823321 binary64) (*.f64 x x))
(* -1 (/ (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -27648/594823321 binary64) (/.f64 #s(literal -11943936/14507145975869 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 11943936/14507145975869 (* 5159780352/353814783205469041 (/ 1 x))) x)) 27648/594823321) (pow x 2))
(/.f64 (+.f64 #s(literal -27648/594823321 binary64) (/.f64 (+.f64 #s(literal -11943936/14507145975869 binary64) (/.f64 #s(literal -5159780352/353814783205469041 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 5159780352/353814783205469041 (* 2229025112064/8629188747598184440949 (/ 1 x))) (pow x 2))) (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -5159780352/353814783205469041 binary64) (/.f64 #s(literal -2229025112064/8629188747598184440949 binary64) x)) (.f64 x x)) (+.f64 #s(literal -27648/594823321 binary64) (/.f64 #s(literal -11943936/14507145975869 binary64) x))) (.f64 x x))
(/ -27648/594823321 (pow x 2))
(/.f64 #s(literal -27648/594823321 binary64) (*.f64 x x))
(* -1 (/ (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -27648/594823321 binary64) (/.f64 #s(literal -11943936/14507145975869 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 11943936/14507145975869 (* 5159780352/353814783205469041 (/ 1 x))) x)) 27648/594823321) (pow x 2))
(/.f64 (+.f64 #s(literal -27648/594823321 binary64) (/.f64 (+.f64 #s(literal -11943936/14507145975869 binary64) (/.f64 #s(literal -5159780352/353814783205469041 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 11943936/14507145975869 (+ (/ 2229025112064/8629188747598184440949 (pow x 2)) (* 5159780352/353814783205469041 (/ 1 x)))) x)) 27648/594823321) (pow x 2))
(/.f64 (-.f64 #s(literal -27648/594823321 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5159780352/353814783205469041 binary64) x) (+.f64 #s(literal 11943936/14507145975869 binary64) (/.f64 #s(literal 2229025112064/8629188747598184440949 binary64) (.f64 x x)))) x)) (.f64 x x))
-16/841
#s(literal -16/841 binary64)
(- (* -58/27 x) 16/841)
(+.f64 (*.f64 x #s(literal -58/27 binary64)) #s(literal -16/841 binary64))
(- (* x (- (* -707281/3888 x) 58/27)) 16/841)
(+.f64 (.f64 x (+.f64 #s(literal -58/27 binary64) (.f64 x #s(literal -707281/3888 binary64)))) #s(literal -16/841 binary64))
(- (* x (- (* x (- (* -17249876309/1259712 x) 707281/3888)) 58/27)) 16/841)
(+.f64 (.f64 x (+.f64 #s(literal -58/27 binary64) (.f64 x (+.f64 #s(literal -707281/3888 binary64) (*.f64 x #s(literal -17249876309/1259712 binary64)))))) #s(literal -16/841 binary64))
(/ -2985984/500246412961 (pow x 2))
(/.f64 #s(literal -2985984/500246412961 binary64) (*.f64 x x))
(* -1 (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2985984/500246412961 binary64) (/.f64 #s(literal -2579890176/12200509765705829 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2579890176/12200509765705829 (* 1671768834048/297558232675799463481 (/ 1 x))) x)) 2985984/500246412961) (pow x 2))
(/.f64 (+.f64 #s(literal -2985984/500246412961 binary64) (/.f64 (+.f64 #s(literal -2579890176/12200509765705829 binary64) (/.f64 #s(literal -1671768834048/297558232675799463481 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1671768834048/297558232675799463481 (* 962938848411648/7257147736730073114838109 (/ 1 x))) (pow x 2))) (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal -2985984/500246412961 binary64) (/.f64 (-.f64 #s(literal -2579890176/12200509765705829 binary64) (/.f64 (+.f64 #s(literal 1671768834048/297558232675799463481 binary64) (/.f64 #s(literal 962938848411648/7257147736730073114838109 binary64) x)) x)) x)) (*.f64 x x))
(/ -2985984/500246412961 (pow x 2))
(/.f64 #s(literal -2985984/500246412961 binary64) (*.f64 x x))
(* -1 (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2985984/500246412961 binary64) (/.f64 #s(literal -2579890176/12200509765705829 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2579890176/12200509765705829 (* 1671768834048/297558232675799463481 (/ 1 x))) x)) 2985984/500246412961) (pow x 2))
(/.f64 (+.f64 #s(literal -2985984/500246412961 binary64) (/.f64 (+.f64 #s(literal -2579890176/12200509765705829 binary64) (/.f64 #s(literal -1671768834048/297558232675799463481 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2579890176/12200509765705829 (+ (/ 962938848411648/7257147736730073114838109 (pow x 2)) (* 1671768834048/297558232675799463481 (/ 1 x)))) x)) 2985984/500246412961) (pow x 2))
(/.f64 (-.f64 #s(literal -2985984/500246412961 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1671768834048/297558232675799463481 binary64) x) (+.f64 #s(literal 2579890176/12200509765705829 binary64) (/.f64 #s(literal 962938848411648/7257147736730073114838109 binary64) (.f64 x x)))) x)) (.f64 x x))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -58/27 x))
(+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -58/27 binary64)))
(+ 16/841 (* x (- (* 707281/11664 x) 58/27)))
(+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 #s(literal -58/27 binary64) (.f64 x #s(literal 707281/11664 binary64)))))
(+ 16/841 (* x (- (* 707281/11664 x) 58/27)))
(+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 #s(literal -58/27 binary64) (.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 (* 58/27 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal -58/27 binary64) x)))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 58/27 (/ 1 x))))
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(/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (+ (* 2579890176/12200509765705829 (/ 1 x)) (* 962938848411648/7257147736730073114838109 (/ 1 (pow x 3)))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 2579890176/12200509765705829 binary64) x) (+.f64 (/.f64 #s(literal 962938848411648/7257147736730073114838109 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 2985984/500246412961 binary64) (/.f64 #s(literal 1671768834048/297558232675799463481 binary64) (.f64 x x))))) (.f64 x x))
(/ 2985984/500246412961 (pow x 2))
(/.f64 #s(literal 2985984/500246412961 binary64) (*.f64 x x))
(/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2985984/500246412961 binary64) (/.f64 #s(literal 2579890176/12200509765705829 binary64) x)) (*.f64 x x))
(/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2985984/500246412961 binary64) (+.f64 (/.f64 #s(literal 2579890176/12200509765705829 binary64) x) (/.f64 #s(literal 1671768834048/297558232675799463481 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 2985984/500246412961 (* -1 (/ (- (* -1 (/ (+ 1671768834048/297558232675799463481 (* 962938848411648/7257147736730073114838109 (/ 1 x))) x)) 2579890176/12200509765705829) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 2985984/500246412961 binary64) (/.f64 (-.f64 #s(literal -2579890176/12200509765705829 binary64) (/.f64 (+.f64 #s(literal 1671768834048/297558232675799463481 binary64) (/.f64 #s(literal 962938848411648/7257147736730073114838109 binary64) x)) x)) x)) (*.f64 x x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #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 #s(literal -841/108 binary64) (.f64 x #s(literal -20511149/46656 binary64)))) #s(literal -4/29 binary64))
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(+.f64 (.f64 x (+.f64 #s(literal -841/108 binary64) (.f64 x (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x #s(literal -500246412961/20155392 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 746496/17249876309 binary64) x) (/.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 746496/17249876309 binary64) x) (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) (.f64 x x)) (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) (.f64 x (*.f64 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 (/.f64 #s(literal 322486272/420707233300201 binary64) x) (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))

eval257.0ms (2.9%)

Compiler: Compiled 69143 to 3960 computations (94.3% saved)

prune224.0ms (2.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1366	4	1370
Fresh	3	0	3
Picked	4	1	5
Done	1	3	4
Total	1374	8	1382

Accuracy

100.0%

Counts

1382 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(/.f64 (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
✓	74.2%	(/.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 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
▶	26.5%	(/.f64 (/.f64 #s(literal 108/841 binary64) x) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
▶	51.1%	(/.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
▶	51.2%	(.f64 (/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) x)
✓	51.4%	(*.f64 #s(literal 841/108 binary64) x)
✓	50.7%	#s(literal 4/29 binary64)

Compiler

Compiled 78 to 59 computations (24.4% saved)

simplify201.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	256	(/.f64 (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 108/841 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 108/841 binary64) x) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) x)

Rules

3702×	`-lowering-.f32`
3702×	`-lowering-.f64`
2138×	`fma-define`
1956×	`associate-/r/`
1672×	`/-lowering-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	22	117
1	43	115
2	78	115
3	144	112
4	260	112
5	732	112
6	2574	111
7	3855	111
8	6236	111
9	6371	111
10	6487	111
11	6659	111
12	6893	111
0	8501	111

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize187.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
✓	accuracy	99.4%	(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 #s(literal 46656/20511149 binary64) x)
✓	accuracy	55.0%	(/.f64 (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal 108/841 binary64) x)
✓	accuracy	99.4%	(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
✓	accuracy	55.6%	(/.f64 (/.f64 #s(literal 108/841 binary64) x) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
✓	accuracy	99.7%	(*.f64 x #s(literal 841/108 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.7%	(/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)
✓	accuracy	99.6%	(/.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) x)
✓	accuracy	99.8%	(/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
✓	accuracy	99.7%	(*.f64 x #s(literal 841/108 binary64))
✓	accuracy	99.7%	(/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)

Results

133.0ms	255×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 137 to 23 computations (83.2% saved)

Precisions

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

...c/correct-round.rkt:119:19: 38.0ms (48.5% of total)

ival-div: 28.0ms (35.7% of total)

ival-mult: 8.0ms (10.2% of total)

ival-add: 4.0ms (5.1% of total)

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

const: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

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

Outputs
#<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 (* -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 (/ -4/29 x)>
#<alt (/ (- (* 841/108 x) 4/29) x)>
#<alt (/ (- (* 841/108 x) 4/29) x)>
#<alt (/ (- (* 841/108 x) 4/29) x)>
#<alt 841/108>
#<alt (- 841/108 (* 4/29 (/ 1 x)))>
#<alt (- 841/108 (* 4/29 (/ 1 x)))>
#<alt (- 841/108 (* 4/29 (/ 1 x)))>
#<alt 841/108>
#<alt (- 841/108 (* 4/29 (/ 1 x)))>
#<alt (- 841/108 (* 4/29 (/ 1 x)))>
#<alt (- 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 (* -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 (* 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 (* 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 (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ 11664/707281 (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 (/ 46656/20511149 (pow x 2))>
#<alt (/ (+ 46656/20511149 (* 108/841 x)) (pow x 2))>
#<alt (/ (+ 46656/20511149 (* 108/841 x)) (pow x 2))>
#<alt (/ (+ 46656/20511149 (* 108/841 x)) (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 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ 46656/20511149 x)>
#<alt (/ (+ 46656/20511149 (* 108/841 x)) x)>
#<alt (/ (+ 46656/20511149 (* 108/841 x)) x)>
#<alt (/ (+ 46656/20511149 (* 108/841 x)) 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 (* 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

45 calls:

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

rewrite429.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4826×	`-lowering-.f32`
4826×	`-lowering-.f64`
4634×	`/-lowering-/.f32`
4634×	`/-lowering-/.f64`
860×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	93
1	131	91
2	1008	78
0	8597	78

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1209

Calls

Call 1

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

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

simplify410.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2206×	`-lowering-.f32`
2206×	`-lowering-.f64`
1404×	`times-frac`
1210×	`+-lowering-+.f64`
1210×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	102	926
1	257	854
2	612	794
3	1477	778
4	3209	776
0	8226	776

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* -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)))
(* -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)))
(/ -4/29 x)
(/ (- (* 841/108 x) 4/29) x)
(/ (- (* 841/108 x) 4/29) x)
(/ (- (* 841/108 x) 4/29) x)
841/108
(- 841/108 (* 4/29 (/ 1 x)))
(- 841/108 (* 4/29 (/ 1 x)))
(- 841/108 (* 4/29 (/ 1 x)))
841/108
(- 841/108 (* 4/29 (/ 1 x)))
(- 841/108 (* 4/29 (/ 1 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)))
(* -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)))
(* 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)
(* 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)
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (pow x 2))
(/ 11664/707281 (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))))
(/ 46656/20511149 (pow x 2))
(/ (+ 46656/20511149 (* 108/841 x)) (pow x 2))
(/ (+ 46656/20511149 (* 108/841 x)) (pow x 2))
(/ (+ 46656/20511149 (* 108/841 x)) (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)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ 46656/20511149 x)
(/ (+ 46656/20511149 (* 108/841 x)) x)
(/ (+ 46656/20511149 (* 108/841 x)) x)
(/ (+ 46656/20511149 (* 108/841 x)) 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)
(* 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
(* -20511149/46656 (pow x 2))
(.f64 #s(literal -20511149/46656 binary64) (.f64 x x))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 x (.f64 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))
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(* 841/108 x)
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(* 841/108 x)
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(* -20511149/46656 x)
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841/108
#s(literal 841/108 binary64)
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(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) x))
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841/108
#s(literal 841/108 binary64)
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(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal -4/29 binary64) x))
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(/ (- (* 841/108 x) 4/29) x)
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal -4/29 binary64) x))
841/108
#s(literal 841/108 binary64)
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(- 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal -4/29 binary64) x))
841/108
#s(literal 841/108 binary64)
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(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal -4/29 binary64) x))
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(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal -4/29 binary64) x))
(- 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal -4/29 binary64) x))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(- (* 841/108 x) 4/29)
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(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
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(* x (- 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
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(* -20511149/46656 (pow x 2))
(.f64 #s(literal -20511149/46656 binary64) (.f64 x x))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 x (.f64 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 x (.f64 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 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) (+.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 x #s(literal 841/108 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x) #s(literal -4/29 binary64)))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) (+.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 x #s(literal 841/108 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x) #s(literal -4/29 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))
(* 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))
(* 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))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
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(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(pow x 2)
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(*.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)
(+ 4/29 (* 841/108 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(+ 4/29 (* 841/108 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(+ 4/29 (* 841/108 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(/ 46656/20511149 (pow x 2))
(/.f64 #s(literal 46656/20511149 binary64) (*.f64 x x))
(/ (+ 46656/20511149 (* 108/841 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 46656/20511149 binary64) (.f64 x #s(literal 108/841 binary64))) (.f64 x x))
(/ (+ 46656/20511149 (* 108/841 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 46656/20511149 binary64) (.f64 x #s(literal 108/841 binary64))) (.f64 x x))
(/ (+ 46656/20511149 (* 108/841 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 46656/20511149 binary64) (.f64 x #s(literal 108/841 binary64))) (.f64 x x))
(/ 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 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) 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 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 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
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(/.f64 #s(literal 46656/20511149 binary64) x)
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(/.f64 (+.f64 #s(literal 46656/20511149 binary64) (*.f64 x #s(literal 108/841 binary64))) x)
(/ (+ 46656/20511149 (* 108/841 x)) x)
(/.f64 (+.f64 #s(literal 46656/20511149 binary64) (*.f64 x #s(literal 108/841 binary64))) x)
(/ (+ 46656/20511149 (* 108/841 x)) x)
(/.f64 (+.f64 #s(literal 46656/20511149 binary64) (*.f64 x #s(literal 108/841 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)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))

eval523.0ms (5.9%)

Compiler: Compiled 29211 to 3589 computations (87.7% saved)

prune184.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1780	3	1783
Fresh	0	0	0
Picked	4	0	4
Done	1	3	4
Total	1785	6	1791

Accuracy

100.0%

Counts

1791 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 x #s(literal 108/841 binary64))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
	99.9%	(*.f64 (+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x)) x)
	98.8%	(.f64 (.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x) #s(literal 707281/11664 binary64))
✓	51.4%	(*.f64 #s(literal 841/108 binary64) x)
✓	50.7%	#s(literal 4/29 binary64)

Compiler

Compiled 380 to 125 computations (67.1% saved)

regimes24.0ms (0.3%)

Counts

23 → 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 (+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x)) x)
(.f64 (.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x) #s(literal 707281/11664 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 (/.f64 #s(literal 108/841 binary64) x) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) x)
(/.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x))
(/.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 (+.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)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 11664/707281 binary64) (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
(/.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 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
(/.f64 #s(literal 1 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 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) x)))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (.f64 x #s(literal 707281/11664 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))) #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))) #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))) (neg.f64 (/.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))) (neg.f64 (/.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) (/.f64 #s(literal 4/29 binary64) x)) x)

Calls

3 calls:

9.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
7.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
7.0ms	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

4 → 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))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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
98.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
50.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.553070242342735e-8	943.0873923284815
14.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

21.0ms

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 (50.1% of total)

ival-add: 2.0ms (20% of total)

ival-mult: 2.0ms (20% of total)

const: 1.0ms (10% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	21	26

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.2s (14.2%)

Rules

4122×	`/-lowering-/.f32`
4122×	`/-lowering-/.f64`
3440×	`-lowering-.f32`
3440×	`-lowering-.f64`
2928×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	926
1	257	854
2	612	794
3	1477	778
4	3209	776
0	8226	776
0	5	7
1	23	7
2	157	7
3	1416	7
0	8145	7
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	240	1189
1	630	1043
2	1486	1031
3	3196	1027
4	6152	1027
0	8359	1027
0	39	212
1	270	206
2	2867	162
0	8226	162
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 91 to 65 computations (28.6% saved)

preprocess28.0ms (0.3%)

Compiler: Compiled 78 to 46 computations (41% 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	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

analyze0.0ms (0%)

sample791.0ms (9%)

preprocess23.0ms (0.3%)

explain94.0ms (1.1%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify5.0ms (0.1%)

localize42.0ms (0.5%)

series2.0ms (0%)

rewrite315.0ms (3.6%)

simplify11.0ms (0.1%)

eval26.0ms (0.3%)

prune44.0ms (0.5%)

simplify177.0ms (2%)

localize244.0ms (2.8%)

series16.0ms (0.2%)

rewrite517.0ms (5.9%)

simplify305.0ms (3.5%)

eval563.0ms (6.4%)

prune179.0ms (2%)

simplify550.0ms (6.3%)

localize332.0ms (3.8%)

series16.0ms (0.2%)

rewrite414.0ms (4.7%)

simplify356.0ms (4%)

eval257.0ms (2.9%)

prune224.0ms (2.5%)

simplify201.0ms (2.3%)

localize187.0ms (2.1%)

series6.0ms (0.1%)

rewrite429.0ms (4.9%)

simplify410.0ms (4.7%)

eval523.0ms (5.9%)

prune184.0ms (2.1%)

regimes24.0ms (0.3%)

regimes2.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

bsearch35.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.2s (14.2%)

preprocess28.0ms (0.3%)

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