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)

sample846.0ms (8.6%)

Results

602.0ms	8254×	0	valid
0.0ms	1×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-div: 206.0ms (57.2% of total)

ival-mult: 83.0ms (23% of total)

ival-add: 50.0ms (13.9% of total)

const: 19.0ms (5.3% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess14.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

28×	`distribute-lft-neg-in`
26×	`sub-neg`
20×	`associate--r+`
18×	`associate-+l-`
18×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	30	15
2	59	15
3	104	15
4	148	15
5	173	15
6	188	15
7	193	15
8	195	15
0	11	5
1	13	5
0	13	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))
(+ (* 841/108 x) 4/29)
(+ (* (/ 841 108) (neg x)) (/ 4 29))
(- 4/29 (* 841/108 x))
(neg (+ (* (/ 841 108) (neg x)) (/ 4 29)))
(+ (* 841/108 x) -4/29)

explain102.0ms (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 57 computations (10.9% saved)

Precisions

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

ival-div: 19.0ms (58.8% of total)

ival-mult: 7.0ms (21.7% of total)

const: 3.0ms (9.3% of total)

ival-add: 3.0ms (9.3% of total)

backward-pass: 1.0ms (3.1% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize33.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	7	11
0	7	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)

Results

17.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (54.2% of total)

ival-add: 3.0ms (40.7% of total)

const: 1.0ms (13.6% of total)

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

series5.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 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

6 calls:

Time	Variable		Point	Expression
2.0ms	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	@	-inf	(+ (* 841/108 x) 4/29)

rewrite780.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

10628×	`accelerator-lowering-fma.f32`
10628×	`accelerator-lowering-fma.f64`
4272×	`/-lowering-/.f32`
4272×	`/-lowering-/.f64`
4234×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	22	8
2	147	8
3	1222	8
0	8402	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 219

Calls

Call 1

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

Outputs
(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)))
(.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)))
(+.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 x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (.f64 (.f64 x x) (/.f64 #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 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 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 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64)) #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 (.f64 x x) (.f64 (.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 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.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 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 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 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 -16/841 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (+.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 (.f64 x x) (.f64 (.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 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 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 #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 x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) #s(literal -16/841 binary64))) (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))))) (/.f64 (.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) #s(literal -16/841 binary64)))) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) #s(literal -16/841 binary64))) (.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))))))
(-.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))) (/.f64 (/.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) #s(literal -16/841 binary64))) (+.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (.f64 x (.f64 x #s(literal -841/108 binary64))) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(fma.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)) #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 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(fma.f64 (.f64 #s(literal 841/108 binary64) x) (/.f64 (.f64 x #s(literal -841/108 binary64)) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 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 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (.f64 x #s(literal 29/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 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 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (+.f64 #s(literal -64/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (+.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)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.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 841/108 binary64) x) #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 -64/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (+.f64 #s(literal -16/841 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #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 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (+.f64 #s(literal -64/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 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 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #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) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 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) (neg.f64 (.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 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (+.f64 #s(literal -64/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 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 #s(literal -64/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 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)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))) #s(literal -1/2 binary64)))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	24	88
2	37	88
3	49	88
4	49	88
5	64	88
6	70	88
7	74	88
8	74	88
0	74	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

eval153.0ms (1.5%)

Compiler: Compiled 7759 to 5064 computations (34.7% saved)

prune75.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	234	9	243
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	234	10	244

Accuracy

100.0%

Counts

244 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
▶	99.7%	(fma.f64 x (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
	62.5%	(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (+.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)))
	76.0%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
▶	76.8%	(/.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))))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
▶	77.2%	(-.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
	49.1%	(*.f64 #s(literal 841/108 binary64) x)
▶	53.0%	#s(literal 4/29 binary64)

Compiler

Compiled 270 to 213 computations (21.1% saved)

localize381.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.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 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))
✓	cost-diff	6656	(fma.f64 x (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
✓	cost-diff	384	(-.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
✓	cost-diff	0	(/.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))))
✓	cost-diff	0	(*.f64 x #s(literal -841/108 binary64))
✓	cost-diff	0	(+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
✓	accuracy	99.8%	(*.f64 x #s(literal -707281/11664 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.6%	(/.f64 (.f64 x #s(literal -707281/11664 binary64)) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	accuracy	76.9%	(.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	77.2%	(/.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))))
✓	accuracy	100.0%	(+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))

Rules

808×	`accelerator-lowering-fma.f32`
808×	`accelerator-lowering-fma.f64`
568×	`-lowering-.f32`
568×	`-lowering-.f64`
256×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	138
1	60	137
2	110	136
3	190	136
4	349	136
5	579	136
6	1245	136
7	1555	136
8	1610	136
9	1663	136
10	1867	136
11	1890	136
12	1900	136
13	1908	136
14	1916	136
0	1916	120

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

167.0ms	255×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 65.0ms (51.9% of total)

ival-div: 24.0ms (19.2% of total)

ival-add: 21.0ms (16.8% of total)

const: 8.0ms (6.4% of total)

<compiled-spec>: 4.0ms (3.2% of total)

ival-sub: 4.0ms (3.2% of total)

backward-pass: 1.0ms (0.8% of total)

series32.0ms (0.3%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(- (* (* x x) (/ -707281/11664 (+ 4/29 (* x -841/108)))) (/ -16/841 (+ 4/29 (* x -841/108))))
1.0ms	x	@	0	(* x -707281/11664)
1.0ms	x	@	inf	(/ (- 16/841 (* x (* x 707281/11664))) (+ 4/29 (* x -841/108)))
1.0ms	x	@	-inf	(- (* (* x x) (/ -707281/11664 (+ 4/29 (* x -841/108)))) (/ -16/841 (+ 4/29 (* x -841/108))))
1.0ms	x	@	0	(- (* (* x x) (/ -707281/11664 (+ 4/29 (* x -841/108)))) (/ -16/841 (+ 4/29 (* x -841/108))))

rewrite747.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5128×	`/-lowering-/.f32`
5128×	`/-lowering-/.f64`
4616×	`-lowering-.f32`
4616×	`-lowering-.f64`
3910×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	134
1	170	118
2	1440	118
0	8476	107

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1093

Calls

Call 1

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

Outputs
(*.f64 x #s(literal -841/108 binary64))
(*.f64 #s(literal -841/108 binary64) x)
(+.f64 #s(literal 4/29 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 #s(literal 4/29 binary64) (.f64 #s(literal -1 binary64) (.f64 x #s(literal -841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (.f64 (.f64 x #s(literal -841/108 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))) (neg.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 (neg.f64 (*.f64 x #s(literal -841/108 binary64))) #s(literal 4/29 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal -841/108 binary64))) #s(literal 4/29 binary64))
(+.f64 (.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64)) #s(literal 4/29 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(-.f64 #s(literal 4/29 binary64) (/.f64 (*.f64 x #s(literal -841/108 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))) (/.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 #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)) (neg.f64 (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64))))))
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(.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.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 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) #s(literal -1 binary64)) (/.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 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.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 (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.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 #s(literal 4096/594823321 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.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))))))
(.f64 (/.f64 (+.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)))))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) (pow.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))))) (pow.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))))) (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x #s(literal -841/108 binary64)) (-.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 (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -353814783205469041/1586874322944 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (+.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 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))) (/.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 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) (pow.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) (pow.f64 (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x)))) (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x #s(literal -841/108 binary64)) (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 707281/11664 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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)))))

simplify687.0ms (7%)

Algorithm

1×	egg-herbie

Rules

10546×	`accelerator-lowering-fma.f32`
10546×	`accelerator-lowering-fma.f64`
3530×	`-lowering-.f32`
3530×	`-lowering-.f64`
2094×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1264
1	579	1252
2	1348	1238
3	3018	1226
4	6865	1186
0	8102	1081

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval730.0ms (7.4%)

Compiler: Compiled 50029 to 36507 computations (27% saved)

prune200.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1626	5	1631
Fresh	4	0	4
Picked	3	2	5
Done	0	1	1
Total	1633	8	1641

Accuracy

100.0%

Counts

1641 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.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))))
▶	25.9%	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (*.f64 #s(literal -841/108 binary64) x))
▶	49.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
▶	99.6%	(-.f64 (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal -707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
▶	99.4%	(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 x #s(literal -11664/707281 binary64))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
▶	49.1%	(*.f64 x #s(literal 841/108 binary64))
✓	53.0%	#s(literal 4/29 binary64)

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize724.0ms (7.4%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))
✓	cost-diff	256	(.f64 (/.f64 x (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 x #s(literal -11664/707281 binary64)))
✓	cost-diff	256	(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 x #s(literal -11664/707281 binary64))) (/.f64 #s(literal -16/841 binary64) (+.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 x (.f64 x #s(literal 707281/11664 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (*.f64 #s(literal -841/108 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 108/841 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal 841/108 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal -707281/11664 binary64)))
✓	cost-diff	256	(/.f64 x (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal -707281/11664 binary64))))
✓	cost-diff	256	(-.f64 (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal -707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.6%	(.f64 (/.f64 x (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 x #s(literal -11664/707281 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	accuracy	98.8%	(/.f64 x #s(literal -11664/707281 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal -841/108 binary64) x)
✓	accuracy	76.7%	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (*.f64 #s(literal -841/108 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 108/841 binary64) x)
✓	accuracy	99.8%	(*.f64 x #s(literal 841/108 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal -707281/11664 binary64)))
✓	accuracy	99.6%	(/.f64 x (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal -707281/11664 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))

Rules

6250×	`accelerator-lowering-fma.f32`
6250×	`accelerator-lowering-fma.f64`
2784×	`/-lowering-/.f32`
2784×	`/-lowering-/.f64`
2638×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	164
1	73	164
2	166	160
3	366	160
4	1547	150
5	4949	140
0	8228	130

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

218.0ms	251×	0	valid
14.0ms	5×	5	exit

Compiler

Compiled 184 to 139 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-mult: 74.0ms (40% of total)

ival-add: 47.0ms (25.4% of total)

ival-div: 43.0ms (23.2% of total)

ival-sub: 8.0ms (4.3% of total)

const: 7.0ms (3.8% of total)

backward-pass: 5.0ms (2.7% of total)

series89.0ms (0.9%)

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
37.0ms	x	@	inf	(- (/ x (/ (+ (* x -841/108) 4/29) (* x -707281/11664))) (/ 16/841 (- -4/29 (* x -841/108))))
0.0ms	x	@	inf	(/ (- 16/841 (* x (* x 707281/11664))) (* -841/108 x))
0.0ms	x	@	0	(/ (- 16/841 (* x (* x 707281/11664))) (* -841/108 x))
0.0ms	x	@	0	(/ (+ (* x -841/108) 4/29) (* x -707281/11664))
0.0ms	x	@	inf	(/ (+ (* x -841/108) 4/29) (* x -707281/11664))

rewrite681.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5110×	`/-lowering-/.f32`
5110×	`/-lowering-/.f64`
4796×	`accelerator-lowering-fma.f32`
4796×	`accelerator-lowering-fma.f64`
4050×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	139
1	222	127
2	2361	123
0	8439	113

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1208

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal -29/4 binary64) (/.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 #s(literal 16/841 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -29/4 binary64) (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -29/4 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal -29/4 binary64) (/.f64 (*.f64 x #s(literal -841/108 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 #s(literal -16/841 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -29/4 binary64) (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -29/4 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64)) #s(literal 1 binary64)))))
(pow.f64 (-.f64 #s(literal -29/4 binary64) (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal -29/4 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 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 #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 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 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) #s(literal 16/841 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 #s(literal 16/841 binary64) (.f64 (.f64 x #s(literal -841/108 binary64)) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(.f64 (/.f64 #s(literal -16/841 binary64) (-.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))))
(.f64 (/.f64 #s(literal -16/841 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 #s(literal 16/841 binary64) (+.f64 #s(literal -64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))) (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x #s(literal -841/108 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64))))))
(.f64 (/.f64 #s(literal 16/841 binary64) (-.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))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) #s(literal -11664/707281 binary64)) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))) (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))))
(neg.f64 (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal 707281/11664 binary64)))))
(/.f64 x (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (/.f64 x #s(literal -11664/707281 binary64))))
(/.f64 (/.f64 x #s(literal -11664/707281 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) #s(literal -11664/707281 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) #s(literal -11664/707281 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -11664/707281 binary64) (/.f64 (.f64 x x) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))))
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(pow.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 x #s(literal -11664/707281 binary64))) (-.f64 (.f64 x (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (.f64 (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x) #s(literal -186624/594823321 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 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 -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 x #s(literal -11664/707281 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x))))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1586874322944/353814783205469041 binary64)) #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))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 (/.f64 x #s(literal -11664/707281 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64)) #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 (.f64 x (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (.f64 (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x) #s(literal -186624/594823321 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 x #s(literal -11664/707281 binary64)))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1586874322944/353814783205469041 binary64)) #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 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 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 -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 x #s(literal -11664/707281 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 500246412961/136048896 binary64)) #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 1 binary64) (+.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 (/.f64 x #s(literal -11664/707281 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 x (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(neg.f64 (/.f64 x (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.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 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 (.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) x)
(.f64 (/.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 1 binary64) x)))
(.f64 (/.f64 x (+.f64 #s(literal 64/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64)))) (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x #s(literal -841/108 binary64)) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 64/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x #s(literal -841/108 binary64)) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))))
(.f64 (/.f64 x (-.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))))
(.f64 (/.f64 x (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))))
(.f64 (/.f64 x (+.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 x (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -64/24389 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x #s(literal -841/108 binary64)) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64))))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) (.f64 x #s(literal -841/108 binary64))))))

simplify568.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

11032×	`accelerator-lowering-fma.f32`
11032×	`accelerator-lowering-fma.f64`
3236×	`-lowering-.f32`
3236×	`-lowering-.f64`
2754×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	1318
1	472	1316
2	1039	1234
3	2163	1200
4	4157	1180
5	7788	1180
0	8117	1089

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval737.0ms (7.5%)

Compiler: Compiled 40049 to 30751 computations (23.2% saved)

prune195.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1520	2	1522
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	1524	6	1530

Accuracy

100.0%

Counts

1530 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(/.f64 (-.f64 (/.f64 x (/.f64 #s(literal -11664/707281 binary64) x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))
✓	76.8%	(/.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))))
▶	48.9%	(/.f64 x #s(literal 108/841 binary64))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	49.1%	(*.f64 x #s(literal 841/108 binary64))
✓	53.0%	#s(literal 4/29 binary64)

Compiler

Compiled 44 to 35 computations (20.5% saved)

localize303.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -11664/707281 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal -11664/707281 binary64) x))
✓	cost-diff	0	(-.f64 (/.f64 x (/.f64 #s(literal -11664/707281 binary64) x)) #s(literal -16/841 binary64))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 x (/.f64 #s(literal -11664/707281 binary64) x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))
✓	cost-diff	0	(/.f64 x #s(literal 108/841 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal -11664/707281 binary64) x))
✓	accuracy	99.0%	(/.f64 #s(literal -11664/707281 binary64) x)
✓	accuracy	77.2%	(/.f64 (-.f64 (/.f64 x (/.f64 #s(literal -11664/707281 binary64) x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))
✓	accuracy	99.4%	(/.f64 x #s(literal 108/841 binary64))

Rules

2248×	`accelerator-lowering-fma.f32`
2248×	`accelerator-lowering-fma.f64`
1988×	`div-sub`
1032×	`-lowering-.f32`
1032×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	23	45
2	33	45
3	51	45
4	84	45
5	153	45
6	248	45
7	447	45
8	1017	45
9	2724	45
10	3385	45
11	4978	45
12	5772	45
13	6148	45
14	6660	45
15	7315	45
16	7631	45
0	8013	41

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

45.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 48 to 35 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 16.0ms (56.3% of total)

ival-mult: 6.0ms (21.1% of total)

const: 2.0ms (7% of total)

ival-sub: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

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

series7.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

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

Outputs
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 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 (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<alt (/ -11664/707281 x)>
#<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 (* -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 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))>

Calls

18 calls:

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

rewrite657.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

6188×	`accelerator-lowering-fma.f32`
6188×	`accelerator-lowering-fma.f64`
4268×	`-lowering-.f32`
4268×	`-lowering-.f64`
3410×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	80	34
2	578	26
3	6728	26
0	8041	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 494

Calls

Call 1

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

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

simplify657.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

5384×	`-lowering-.f32`
5384×	`-lowering-.f64`
4228×	`accelerator-lowering-fma.f32`
4228×	`accelerator-lowering-fma.f64`
2900×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	294
1	49	294
2	79	294
3	123	294
4	185	294
5	292	294
6	560	294
7	1826	294
8	2116	294
9	2488	294
10	3049	294
11	4061	294
12	5758	294
0	8354	276

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
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))))
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(/ -11664/707281 x)
(* -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))
(* -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)
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))

Outputs
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(/ -11664/707281 x)
(/.f64 #s(literal -11664/707281 binary64) x)
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -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))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) #s(literal 16/841 binary64))

eval176.0ms (1.8%)

Compiler: Compiled 15814 to 10229 computations (35.3% saved)

prune78.0ms (0.8%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	566	0	566
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	566	6	572

Accuracy

100.0%

Counts

572 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(/.f64 (-.f64 (/.f64 x (/.f64 #s(literal -11664/707281 binary64) x)) #s(literal -16/841 binary64)) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))
✓	76.8%	(/.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))))
✓	48.9%	(/.f64 x #s(literal 108/841 binary64))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	49.1%	(*.f64 x #s(literal 841/108 binary64))
✓	53.0%	#s(literal 4/29 binary64)

Compiler

Compiled 255 to 198 computations (22.4% saved)

regimes15.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
(/.f64 x #s(literal 108/841 binary64))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (*.f64 #s(literal -841/108 binary64) x))
(/.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))))
(/.f64 (-.f64 (/.f64 x (/.f64 #s(literal -11664/707281 binary64) x)) #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 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
(-.f64 (.f64 (.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 x #s(literal -11664/707281 binary64))) (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(-.f64 (/.f64 x (/.f64 (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)) (.f64 x #s(literal -707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (+.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)))
(fma.f64 x (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))

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

Calls

3 calls:

5.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
5.0ms	x
4.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

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)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
53.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.3120756705431217e-11	9.378220345140293e+22
13.0ms	-40.82526496323151	-5.645364922096082e-8

Results

18.0ms

320×

valid

Compiler

Compiled 174 to 152 computations (12.6% saved)

Precisions

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

ival-div: 5.0ms (48.4% of total)

ival-mult: 3.0ms (29.1% of total)

ival-add: 2.0ms (19.4% of total)

const: 1.0ms (9.7% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 22 to 17 computations (22.7% saved)

preprocess131.0ms (1.3%)

Compiler: Compiled 64 to 52 computations (18.8% saved)

Data.Colour.CIE:cieLABView from colour-2.3.3, A

analyze0.0ms (0%)

sample846.0ms (8.6%)

preprocess14.0ms (0.1%)

explain102.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.3%)

series5.0ms (0%)

rewrite780.0ms (7.9%)

simplify8.0ms (0.1%)

eval153.0ms (1.5%)

prune75.0ms (0.8%)

localize381.0ms (3.9%)

series32.0ms (0.3%)

rewrite747.0ms (7.6%)

simplify687.0ms (7%)

eval730.0ms (7.4%)

prune200.0ms (2%)

localize724.0ms (7.4%)

series89.0ms (0.9%)

rewrite681.0ms (6.9%)

simplify568.0ms (5.8%)

eval737.0ms (7.5%)

prune195.0ms (2%)

localize303.0ms (3.1%)

series7.0ms (0.1%)

rewrite657.0ms (6.7%)

simplify657.0ms (6.7%)

eval176.0ms (1.8%)

prune78.0ms (0.8%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes1.0ms (0%)

bsearch32.0ms (0.3%)

soundness1.0ms (0%)

preprocess131.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	18
1	30	15
2	59	15
3	104	15
4	148	15
5	173	15
6	188	15
7	193	15
8	195	15
0	11	5
1	13	5
0	13	4

Iter	Nodes	Cost
0	15	18
1	30	15
2	59	15
3	104	15
4	148	15
5	173	15
6	188	15
7	193	15
8	195	15
0	11	5
1	13	5
0	13	4

Iter	Nodes	Cost
0	15	18
1	30	15
2	59	15
3	104	15
4	148	15
5	173	15
6	188	15
7	193	15
8	195	15
0	11	5
1	13	5
0	13	4