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)

sample990.0ms (14.9%)

Results

776.0ms	8251×	0	valid
1.0ms	3×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

ival-mult: 177.0ms (44.9% of total)

ival-div: 153.0ms (38.8% of total)

ival-add: 41.0ms (10.4% of total)

const: 20.0ms (5.1% of total)

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

Bogosity

preprocess27.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain90.0ms (1.4%)

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

56.0ms

512×

valid

Compiler

Compiled 64 to 29 computations (54.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 10.0ms (52.9% of total)

ival-mult: 5.0ms (26.4% of total)

ival-add: 3.0ms (15.9% of total)

const: 1.0ms (5.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (0.5%)

Localize:

Found 2 expressions of interest:

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

Results

27.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

...c/correct-round.rkt:119:19: 9.0ms (71.2% of total)

ival-mult: 2.0ms (15.8% of total)

ival-add: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite337.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	23	7
2	157	7
3	1423	7
0	8223	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 185

Calls

Call 1

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

Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))) (/.f64 (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64)))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))))) (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)))))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (.f64 x (.f64 #s(literal 841/108 binary64) x)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 #s(literal 841/108 binary64) x) (/.f64 (.f64 #s(literal 841/108 binary64) x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x (.f64 #s(literal 841/108 binary64) x)) (/.f64 #s(literal 841/108 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
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(.f64 (pow.f64 (/.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 210457284365172120330305161/1999004627104432128 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (+.f64 #s(literal 4096/594823321 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64))))))
(.f64 (pow.f64 (/.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 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64))))
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(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))) (+.f64 #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 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))) (.f64 x (.f64 x #s(literal 707281/11664 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 (.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 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 #s(literal -64/24389 binary64) (neg.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (.f64 (.f64 x x) #s(literal 841/729 binary64))))) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 #s(literal -64/24389 binary64) (neg.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 #s(literal -64/24389 binary64) (neg.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 841/108 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	26	79
2	47	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval24.0ms (0.4%)

Compiler: Compiled 6893 to 557 computations (91.9% saved)

prune30.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	199	10	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	199	11	210

Accuracy

100.0%

Counts

210 → 11

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))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
	99.7%	(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
	69.6%	(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
	76.5%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
▶	76.5%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
▶	76.5%	(.f64 (/.f64 #s(literal 1 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)))
▶	65.6%	(.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #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)))))
	51.0%	(*.f64 #s(literal 841/108 binary64) x)
▶	50.7%	#s(literal 4/29 binary64)

Compiler

Compiled 302 to 219 computations (27.5% saved)

simplify174.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2032×	`sum3-define`
1794×	`fma-define`
1778×	`fma-lowering-fma.f32`
1778×	`fma-lowering-fma.f64`
1646×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	187
1	98	178
2	250	175
3	663	175
4	1545	175
5	2540	175
6	3578	175
7	3800	175
8	4664	175
9	6266	175
10	7159	175
0	8021	175

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize235.0ms (3.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.7%	(.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	98.3%	(/.f64 #s(literal 1 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))))
✓	accuracy	67.6%	(.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #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)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	76.6%	(.f64 (/.f64 #s(literal 1 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)))
✓	accuracy	100.0%	(+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.6%	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
✓	accuracy	76.5%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)

Results

173.0ms

256×

valid

Compiler

Compiled 239 to 34 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

...c/correct-round.rkt:119:19: 37.0ms (39.1% of total)

ival-add: 29.0ms (30.7% of total)

ival-mult: 18.0ms (19% of total)

ival-div: 9.0ms (9.5% of total)

ival-sub: 1.0ms (1.1% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Counts

17 → 204

Calls

Call 1

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

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt -29/4>
#<alt (- (* -707281/1728 x) 29/4)>
#<alt (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)>
#<alt (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)>
#<alt (/ 108/841 x)>
#<alt (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)>
#<alt (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)>
#<alt (/ 108/841 x)>
#<alt (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt 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 -256/707281>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 -24389/64>
#<alt (- (* -594823321/27648 x) 24389/64)>
#<alt (- (* x (- (* -8629188747598184440949/2229025112064 (pow x 3)) 594823321/27648)) 24389/64)>
#<alt (- (* x (- (* (pow x 3) (- (* -210457284365172120330305161/962938848411648 x) 8629188747598184440949/2229025112064)) 594823321/27648)) 24389/64)>
#<alt (/ 1259712/594823321 (pow x 3))>
#<alt (/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))>
#<alt (/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (* 544195584/14507145975869 (/ 1 x)))) (pow x 3))>
#<alt (/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (+ (* 544195584/14507145975869 (/ 1 x)) (* 18953525353286467584/5132842708382182842735812571629 (/ 1 (pow x 5)))))) (pow x 3))>
#<alt (/ 1259712/594823321 (pow x 3))>
#<alt (/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3)))) x)) 1259712/594823321) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (+ (/ 18953525353286467584/5132842708382182842735812571629 (pow x 4)) (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3))))) x)) 1259712/594823321) (pow x 3)))>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))
1.0ms	x	@	0	(* -707281/11664 (* x x))
1.0ms	x	@	0	(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))
0.0ms	x	@	inf	(/ 1 (+ (* 841/108 x) 4/29))
0.0ms	x	@	-inf	(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))

rewrite918.0ms (13.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2678×	`fma-lowering-fma.f32`
2678×	`fma-lowering-fma.f64`
2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
2238×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	78
1	215	76
2	1798	76
0	8348	76

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1601

Calls

Call 1

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

Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 #s(literal 4/29 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)))
(+.f64 #s(literal 4/29 binary64) (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #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 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) #s(literal -256/707281 binary64)))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) #s(literal -256/707281 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)) #s(literal 4/29 binary64))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))) (.f64 #s(literal -256/707281 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))))
(+.f64 (.f64 #s(literal -256/707281 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(exp.f64 (log.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #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 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 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 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 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 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal -4/29 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))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (.f64 #s(literal 1 binary64) (+.f64 (.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 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(-.f64 (/.f64 #s(literal 0 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 x (.f64 x #s(literal -707281/11664 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 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 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 250246473680347348787521/18509302102818816 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal 256/707281 binary64))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))) (/.f64 (/.f64 #s(literal 65536/500246412961 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal 256/707281 binary64))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 250246473680347348787521/18509302102818816 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal 256/707281 binary64)))) (/.f64 #s(literal 65536/500246412961 binary64) (.f64 (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal 256/707281 binary64)))))
(-.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal -64/24389 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (+.f64 #s(literal 16/841 binary64) (.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 16/841 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 x (.f64 x #s(literal 707281/11664 binary64)))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(fma.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 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (.f64 x #s(literal -841/108 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
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(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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))) #s(literal -256/707281 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))

simplify276.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2614×	`-lowering-.f32`
2614×	`-lowering-.f64`
1580×	`fma-lowering-fma.f32`
1580×	`fma-lowering-fma.f64`
1464×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	1052
1	515	938
2	1230	933
3	2893	928
4	7313	928
0	8348	928

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-29/4
(- (* -707281/1728 x) 29/4)
(- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)
(- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)
(/ 108/841 x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)
(/ 108/841 x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
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))))
-256/707281
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(* 500246412961/136048896 (pow x 4))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* 500246412961/136048896 (pow x 4))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 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)
-24389/64
(- (* -594823321/27648 x) 24389/64)
(- (* x (- (* -8629188747598184440949/2229025112064 (pow x 3)) 594823321/27648)) 24389/64)
(- (* x (- (* (pow x 3) (- (* -210457284365172120330305161/962938848411648 x) 8629188747598184440949/2229025112064)) 594823321/27648)) 24389/64)
(/ 1259712/594823321 (pow x 3))
(/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))
(/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (* 544195584/14507145975869 (/ 1 x)))) (pow x 3))
(/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (+ (* 544195584/14507145975869 (/ 1 x)) (* 18953525353286467584/5132842708382182842735812571629 (/ 1 (pow x 5)))))) (pow x 3))
(/ 1259712/594823321 (pow x 3))
(/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3)))) x)) 1259712/594823321) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (+ (/ 18953525353286467584/5132842708382182842735812571629 (pow x 4)) (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3))))) x)) 1259712/594823321) (pow x 3)))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64)))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+.f64 #s(literal 29/4 binary64) (.f64 x (+.f64 #s(literal -707281/1728 binary64) (.f64 x #s(literal 17249876309/746496 binary64)))))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(+.f64 #s(literal 29/4 binary64) (.f64 x (+.f64 #s(literal -707281/1728 binary64) (.f64 x (+.f64 #s(literal 17249876309/746496 binary64) (*.f64 x #s(literal -420707233300201/322486272 binary64)))))))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #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)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
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))))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
-29/4
#s(literal -29/4 binary64)
(- (* -707281/1728 x) 29/4)
(+.f64 (*.f64 x #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64))
(- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)
(+.f64 (.f64 x (+.f64 #s(literal -707281/1728 binary64) (.f64 x #s(literal -17249876309/746496 binary64)))) #s(literal -29/4 binary64))
(- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)
(+.f64 (.f64 x (+.f64 #s(literal -707281/1728 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -420707233300201/322486272 binary64)) #s(literal -17249876309/746496 binary64))))) #s(literal -29/4 binary64))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x))) x)))) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x))) x)) 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)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
-256/707281
#s(literal -256/707281 binary64)
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -256/707281 binary64))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 500246412961/136048896 (pow x 4))
(.f64 #s(literal 500246412961/136048896 binary64) (.f64 x (.f64 x (.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 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))
-24389/64
#s(literal -24389/64 binary64)
(- (* -594823321/27648 x) 24389/64)
(+.f64 (*.f64 x #s(literal -594823321/27648 binary64)) #s(literal -24389/64 binary64))
(- (* x (- (* -8629188747598184440949/2229025112064 (pow x 3)) 594823321/27648)) 24389/64)
(+.f64 (.f64 x (+.f64 #s(literal -594823321/27648 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8629188747598184440949/2229025112064 binary64)))) #s(literal -24389/64 binary64))
(- (* x (- (* (pow x 3) (- (* -210457284365172120330305161/962938848411648 x) 8629188747598184440949/2229025112064)) 594823321/27648)) 24389/64)
(+.f64 (.f64 x (+.f64 #s(literal -594823321/27648 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -8629188747598184440949/2229025112064 binary64) (*.f64 x #s(literal -210457284365172120330305161/962938848411648 binary64)))))) #s(literal -24389/64 binary64))
(/ 1259712/594823321 (pow x 3))
(/.f64 #s(literal 1259712/594823321 binary64) (.f64 x (.f64 x x)))
(/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal 544195584/14507145975869 binary64) x)) (.f64 x (.f64 x x)))
(/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (* 544195584/14507145975869 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (+.f64 (/.f64 #s(literal 544195584/14507145975869 binary64) x) (/.f64 #s(literal 43873901280755712/210457284365172120330305161 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (+ (* 544195584/14507145975869 (/ 1 x)) (* 18953525353286467584/5132842708382182842735812571629 (/ 1 (pow x 5)))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 544195584/14507145975869 binary64) x) (+.f64 (/.f64 #s(literal 18953525353286467584/5132842708382182842735812571629 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal 43873901280755712/210457284365172120330305161 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (*.f64 x x)))
(/ 1259712/594823321 (pow x 3))
(/.f64 #s(literal 1259712/594823321 binary64) (.f64 x (.f64 x x)))
(/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal 544195584/14507145975869 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3)))) x)) 1259712/594823321) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 (+.f64 #s(literal 544195584/14507145975869 binary64) (/.f64 #s(literal 43873901280755712/210457284365172120330305161 binary64) (.f64 x (.f64 x x)))) x)) x) (*.f64 x x))
(* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (+ (/ 18953525353286467584/5132842708382182842735812571629 (pow x 4)) (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3))))) x)) 1259712/594823321) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 (+.f64 (/.f64 #s(literal 43873901280755712/210457284365172120330305161 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 544195584/14507145975869 binary64) (/.f64 #s(literal 18953525353286467584/5132842708382182842735812571629 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) x) (.f64 x x))

eval347.0ms (5.2%)

Compiler: Compiled 60953 to 2538 computations (95.8% saved)

prune133.0ms (2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1952	7	1959
Fresh	3	2	5
Picked	4	1	5
Done	0	1	1
Total	1959	11	1970

Accuracy

100.0%

Counts

1970 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
▶	76.5%	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
	27.8%	(/.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
	50.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
▶	50.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
▶	27.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
▶	27.7%	(.f64 (/.f64 #s(literal 108/841 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
▶	51.0%	(*.f64 #s(literal 841/108 binary64) x)
✓	50.7%	#s(literal 4/29 binary64)

Compiler

Compiled 208 to 163 computations (21.6% saved)

simplify200.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
✓	cost-diff	0	(/.f64 #s(literal 108/841 binary64) x)
✓	cost-diff	256	(.f64 (/.f64 #s(literal 108/841 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -707281/1728 binary64))
✓	cost-diff	0	(+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	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 #s(literal 841/108 binary64) x)))

Rules

2470×	`-lowering-.f32`
2470×	`-lowering-.f64`
1722×	`/-lowering-/.f32`
1722×	`/-lowering-/.f64`
1454×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	130
1	73	119
2	171	113
3	394	109
4	845	109
5	2389	109
6	7534	109
0	8252	109

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 16/841 (* x (* x 707281/11664))) (- 4/29 (* 841/108 x)))
(- 16/841 (* x (* x 707281/11664)))
16/841
(* x (* x 707281/11664))
x
(* x 707281/11664)
707281/11664
(- 4/29 (* 841/108 x))
4/29
(* 841/108 x)
841/108
(* 841/108 x)
841/108
x
(/ 1 (+ 29/4 (* x -707281/1728)))
1
(+ 29/4 (* x -707281/1728))
29/4
(* x -707281/1728)
x
-707281/1728
(* (/ 108/841 x) (+ (* x (* x 707281/11664)) -16/841))
(/ 108/841 x)
108/841
x
(+ (* x (* x 707281/11664)) -16/841)
(* x (* x 707281/11664))
(* x 707281/11664)
707281/11664
-16/841
(* (/ 1 (* 841/108 x)) (+ (* x (* x 707281/11664)) -16/841))
(/ 1 (* 841/108 x))
1
(* 841/108 x)
841/108
x
(+ (* x (* x 707281/11664)) -16/841)
(* x (* x 707281/11664))
(* x 707281/11664)
707281/11664
-16/841

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

localize242.0ms (3.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x))
✓	accuracy	76.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 108/841 binary64) x)
✓	accuracy	76.2%	(.f64 (/.f64 #s(literal 108/841 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal -707281/1728 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	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	76.5%	(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))

Results

205.0ms

256×

valid

Compiler

Compiled 141 to 25 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

...c/correct-round.rkt:119:19: 33.0ms (58.6% of total)

ival-mult: 11.0ms (19.5% of total)

ival-div: 7.0ms (12.4% of total)

ival-add: 3.0ms (5.3% of total)

ival-sub: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

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

series6.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/ (- 16/841 (* x (* x 707281/11664))) (- 4/29 (* 841/108 x)))>
#<alt (- 16/841 (* x (* x 707281/11664)))>
#<alt (* x (* x 707281/11664))>
#<alt (* x 707281/11664)>
#<alt (* 841/108 x)>
#<alt (/ 1 (+ 29/4 (* x -707281/1728)))>
#<alt (+ 29/4 (* x -707281/1728))>
#<alt (* x -707281/1728)>
#<alt (* (/ 108/841 x) (+ (* x (* x 707281/11664)) -16/841))>
#<alt (/ 108/841 x)>
#<alt (+ (* x (* x 707281/11664)) -16/841)>
#<alt (* (/ 1 (* 841/108 x)) (+ (* x (* x 707281/11664)) -16/841))>
#<alt (/ 1 (* 841/108 x))>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 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 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (* -707281/1728 x)>
#<alt (* x (- (* 29/4 (/ 1 x)) 707281/1728))>
#<alt (* x (- (* 29/4 (/ 1 x)) 707281/1728))>
#<alt (* x (- (* 29/4 (/ 1 x)) 707281/1728))>
#<alt (* -707281/1728 x)>
#<alt (* -1 (* x (- 707281/1728 (* 29/4 (/ 1 x)))))>
#<alt (* -1 (* x (- 707281/1728 (* 29/4 (/ 1 x)))))>
#<alt (* -1 (* x (- 707281/1728 (* 29/4 (/ 1 x)))))>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 x)>
#<alt (* -707281/1728 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 (/ 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 -16/841>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (/ -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 (/ 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)>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (/ 108/841 x) (+ (* x (* x 707281/11664)) -16/841))
0.0ms	x	@	0	(* (/ 108/841 x) (+ (* x (* x 707281/11664)) -16/841))
0.0ms	x	@	0	(/ 108/841 x)
0.0ms	x	@	-inf	(* x -707281/1728)
0.0ms	x	@	inf	(* x -707281/1728)

rewrite575.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
3616×	`/-lowering-/.f32`
3616×	`/-lowering-/.f64`
1972×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	77
1	153	62
2	1165	56
0	8634	56

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 966

Calls

Call 1

Inputs
(/ (- 16/841 (* x (* x 707281/11664))) (- 4/29 (* 841/108 x)))
(- 16/841 (* x (* x 707281/11664)))
(* x (* x 707281/11664))
(* x 707281/11664)
(* 841/108 x)
(/ 1 (+ 29/4 (* x -707281/1728)))
(+ 29/4 (* x -707281/1728))
(* x -707281/1728)
(* (/ 108/841 x) (+ (* x (* x 707281/11664)) -16/841))
(/ 108/841 x)
(+ (* x (* x 707281/11664)) -16/841)
(* (/ 1 (* 841/108 x)) (+ (* x (* x 707281/11664)) -16/841))
(/ 1 (* 841/108 x))

Outputs
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))))
(+.f64 (fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (neg.f64 (.f64 (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) x))) (fma.f64 (neg.f64 (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64))))) x (.f64 (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) x)))
(+.f64 (fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (neg.f64 (.f64 (/.f64 x (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (.f64 x #s(literal 707281/11664 binary64))))) (fma.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64))))) (.f64 x #s(literal 707281/11664 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (*.f64 x #s(literal 707281/11664 binary64)))))
(+.f64 (fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))))
(+.f64 (fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64))))) (.f64 x x) (.f64 (/.f64 #s(literal 707281/11664 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 (/.f64 x #s(literal 108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64))))) (/.f64 (.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))))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 (/.f64 x #s(literal 108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))))) (/.f64 (.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 16/841 binary64) (.f64 (/.f64 x #s(literal 108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64))))) (/.f64 (.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)))))))
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(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 108/841 binary64) x))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 108/841 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))))
(.f64 (+.f64 #s(literal -1728/707281 binary64) (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal 108/841 binary64))) (/.f64 #s(literal 1 binary64) x))
(.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 108/841 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.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)))) x)))
(.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 #s(literal 1 binary64) (.f64 (+.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 x #s(literal -108/841 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 -108/841 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.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 0 binary64) x))))
(.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) #s(literal 108/841 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) x)))
(.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 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 x #s(literal -108/841 binary64)))))
(.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) #s(literal -108/841 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) x))))
(.f64 (.f64 #s(literal 108/841 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.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 #s(literal 108/841 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)))) #s(literal -27648/594823321 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))
(.f64 (.f64 #s(literal -108/841 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (+.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 -108/841 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))
(.f64 (+.f64 #s(literal 1728/707281 binary64) (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -108/841 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (+.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 #s(literal -108/841 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) x) #s(literal 108/841 binary64))
(.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) (/.f64 #s(literal -5159780352/353814783205469041 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1728/707281 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x)) (*.f64 (/.f64 x #s(literal -108/841 binary64)) (/.f64 #s(literal -1728/707281 binary64) x))))))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) #s(literal -841/108 binary64)))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 (/.f64 #s(literal -1728/707281 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 108/841 binary64)) (/.f64 #s(literal -1728/707281 binary64) x))))
(.f64 (.f64 (/.f64 #s(literal 108/841 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64))) (/.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 (/.f64 #s(literal 108/841 binary64) x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 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 x #s(literal 108/841 binary64))) (/.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 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64)) (/.f64 x #s(literal 108/841 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))))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (/.f64 x #s(literal 108/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (/.f64 x #s(literal 108/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #s(literal 1 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)) x) (/.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))))) #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))) #s(literal -4096/594823321 binary64)) #s(literal 841/108 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))))) x))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #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)) #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))))) x))
(.f64 (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -108/841 binary64) x))
(.f64 (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -108/841 binary64))
(.f64 (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) #s(literal -841/108 binary64)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 108/841 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -108/841 binary64) x))
(neg.f64 (/.f64 #s(literal -108/841 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -108/841 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 108/841 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 108/841 binary64) x)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -108/841 binary64)))
(/.f64 #s(literal -108/841 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 841/108 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -841/108 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x #s(literal 108/841 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(*.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(*.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 108/841 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -1/2 binary64)))

simplify324.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

2160×	`-lowering-.f32`
2160×	`-lowering-.f64`
1702×	`fma-lowering-fma.f32`
1702×	`fma-lowering-fma.f64`
1570×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	755
1	273	666
2	663	660
3	1487	642
4	3232	642
0	8148	642

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
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))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* -707281/1728 x))
(* -707281/1728 x)
(* x (- (* 29/4 (/ 1 x)) 707281/1728))
(* x (- (* 29/4 (/ 1 x)) 707281/1728))
(* x (- (* 29/4 (/ 1 x)) 707281/1728))
(* -707281/1728 x)
(* -1 (* x (- 707281/1728 (* 29/4 (/ 1 x)))))
(* -1 (* x (- 707281/1728 (* 29/4 (/ 1 x)))))
(* -1 (* x (- 707281/1728 (* 29/4 (/ 1 x)))))
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 x)
(* -707281/1728 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)))
(/ 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)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(/ -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)))
(/ 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)

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

eval247.0ms (3.7%)

Compiler: Compiled 33425 to 2623 computations (92.2% saved)

prune150.0ms (2.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1608	2	1610
Fresh	2	2	4
Picked	3	2	5
Done	0	2	2
Total	1613	8	1621

Accuracy

100.0%

Counts

1621 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.6%	(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
▶	50.9%	(/.f64 x #s(literal 108/841 binary64))
▶	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
✓	50.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64))))
▶	99.8%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	51.0%	(*.f64 #s(literal 841/108 binary64) x)
✓	50.7%	#s(literal 4/29 binary64)

Compiler

Compiled 60 to 48 computations (20% saved)

simplify164.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 594823321/1259712 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
✓	cost-diff	0	(/.f64 x #s(literal 108/841 binary64))
✓	cost-diff	0	(/.f64 #s(literal -46656/20511149 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
✓	cost-diff	0	(/.f64 x #s(literal -108/841 binary64))
✓	cost-diff	0	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))

Rules

2032×	`fmsub-define`
1908×	`fnmsub-define`
1736×	`fma-lowering-fma.f32`
1736×	`fma-lowering-fma.f64`
1666×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	101
1	62	99
2	121	98
3	196	98
4	355	97
5	627	97
6	1214	97
7	2328	97
8	5035	97
9	7241	97
0	8203	97

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- 4/29 (/ x -108/841))
4/29
(/ x -108/841)
x
-108/841
(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
1
(/ (+ 108/841 (/ -46656/20511149 x)) x)
(+ 108/841 (/ -46656/20511149 x))
108/841
(/ -46656/20511149 x)
-46656/20511149
x
(/ x 108/841)
x
108/841
(/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ 16/841 (* x (+ (* x 707281/11664) -29/27))))
(- (* 594823321/1259712 (* x (* x x))) -64/24389)
(* 594823321/1259712 (* x (* x x)))
594823321/1259712
(* x (* x x))
x
(* x x)
-64/24389
(+ 16/841 (* x (+ (* x 707281/11664) -29/27)))
16/841
(* x (+ (* x 707281/11664) -29/27))
(+ (* x 707281/11664) -29/27)
(* x 707281/11664)
707281/11664
-29/27

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

localize155.0ms (2.3%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 594823321/1259712 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.5%	(.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))
✓	accuracy	70.6%	(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
✓	accuracy	99.6%	(/.f64 x #s(literal 108/841 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
✓	accuracy	99.2%	(/.f64 #s(literal -46656/20511149 binary64) x)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
✓	accuracy	100.0%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))
✓	accuracy	99.6%	(/.f64 x #s(literal -108/841 binary64))

Results

124.0ms

256×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

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

...c/correct-round.rkt:119:19: 35.0ms (51.9% of total)

ival-mult: 14.0ms (20.8% of total)

ival-div: 11.0ms (16.3% of total)

ival-add: 5.0ms (7.4% of total)

ival-sub: 3.0ms (4.5% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (- 4/29 (/ x -108/841))>
#<alt (/ x -108/841)>
#<alt (/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))>
#<alt (/ (+ 108/841 (/ -46656/20511149 x)) x)>
#<alt (+ 108/841 (/ -46656/20511149 x))>
#<alt (/ -46656/20511149 x)>
#<alt (/ x 108/841)>
#<alt (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ 16/841 (* x (+ (* x 707281/11664) -29/27))))>
#<alt (- (* 594823321/1259712 (* x (* x x))) -64/24389)>
#<alt (* 594823321/1259712 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x (+ (* x 707281/11664) -29/27))>
#<alt (* x 707281/11664)>

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (+ 108/841 (/ -46656/20511149 x)) x)
2.0ms	x	@	inf	(/ (+ 108/841 (/ -46656/20511149 x)) x)
1.0ms	x	@	inf	(/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ 16/841 (* x (+ (* x 707281/11664) -29/27))))
1.0ms	x	@	0	(/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ 16/841 (* x (+ (* x 707281/11664) -29/27))))
0.0ms	x	@	-inf	(/ (+ 108/841 (/ -46656/20511149 x)) x)

rewrite315.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3992×	`/-lowering-/.f32`
3992×	`/-lowering-/.f64`
3340×	`-lowering-.f32`
3340×	`-lowering-.f64`
1728×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	173	70
2	1321	69
0	8390	69

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 462

Calls

Call 1

Inputs
(- 4/29 (/ x -108/841))
(/ x -108/841)
(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
(/ (+ 108/841 (/ -46656/20511149 x)) x)
(+ 108/841 (/ -46656/20511149 x))
(/ -46656/20511149 x)
(/ x 108/841)
(/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ 16/841 (* x (+ (* x 707281/11664) -29/27))))
(- (* 594823321/1259712 (* x (* x x))) -64/24389)
(* 594823321/1259712 (* x (* x x)))
(* x (* x x))
(* x (+ (* x 707281/11664) -29/27))
(* x 707281/11664)

Outputs
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 (/.f64 x #s(literal -108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))))) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1259712/594823321 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 (/.f64 x #s(literal -108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64))))))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64))))))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))
(-.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 (/.f64 x #s(literal -108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1259712/594823321 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 (/.f64 x #s(literal -108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))) (/.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -108/841 binary64)) #s(literal 4/29 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (/.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 108/841 binary64) x)))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal 64/24389 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal 64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 (/.f64 x #s(literal -108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64))))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal 64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) (/.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 108/841 binary64) x)))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 (/.f64 x #s(literal -108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64))))))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal 64/24389 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64))))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1259712/594823321 binary64)) #s(literal -64/24389 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 (/.f64 x #s(literal -108/841 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1259712/594823321 binary64)) #s(literal -64/24389 binary64)) (neg.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) (/.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 108/841 binary64) x))))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))))
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(fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) (.f64 x #s(literal -29/27 binary64)))
(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) x (.f64 x #s(literal -29/27 binary64)))
(fma.f64 #s(literal -29/27 binary64) x (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)))
(fma.f64 (.f64 (/.f64 x #s(literal -108/841 binary64)) x) #s(literal -841/108 binary64) (.f64 x #s(literal -29/27 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (.f64 x #s(literal -29/27 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1586874322944/353814783205469041 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (.f64 x #s(literal -29/27 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 (.f64 x x) #s(literal 841/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 #s(literal 841/729 binary64) (.f64 x #s(literal -20511149/314928 binary64)))) (.f64 x (+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -24389/19683 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 #s(literal 841/729 binary64) (.f64 x #s(literal -20511149/314928 binary64)))) (.f64 (+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -24389/19683 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) x)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1586874322944/353814783205469041 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -24389/19683 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (*.f64 x #s(literal -29/27 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 (.f64 x x) #s(literal 841/729 binary64))) (-.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (.f64 x #s(literal -29/27 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -24389/19683 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 #s(literal 841/729 binary64) (*.f64 x #s(literal -20511149/314928 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64))) (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -24389/19683 binary64)) x) (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 #s(literal 841/729 binary64) (*.f64 x #s(literal -20511149/314928 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) x) (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1586874322944/353814783205469041 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -24389/19683 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (*.f64 x #s(literal -29/27 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 (.f64 x x) #s(literal 841/729 binary64)))) (neg.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (.f64 x #s(literal -29/27 binary64)))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -24389/19683 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 #s(literal 841/729 binary64) (*.f64 x #s(literal -20511149/314928 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -24389/19683 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 #s(literal 841/729 binary64) (*.f64 x #s(literal -20511149/314928 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -24389/19683 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1586874322944/353814783205469041 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 (.f64 x #s(literal -29/27 binary64)) (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)))) (-.f64 (.f64 x #s(literal -29/27 binary64)) (/.f64 (.f64 x x) #s(literal 11664/707281 binary64))))
(.f64 x (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))
(.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) x)
(.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1586874322944/353814783205469041 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -24389/19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (.f64 x #s(literal -29/27 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 (.f64 x x) #s(literal 841/729 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 11664/707281 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -24389/19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 #s(literal 841/729 binary64) (.f64 x #s(literal -20511149/314928 binary64))))))
(.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64))))
(.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -24389/19683 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 #s(literal 841/729 binary64) (.f64 x #s(literal -20511149/314928 binary64))))))
(.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)

simplify223.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2604×	`-lowering-.f32`
2604×	`-lowering-.f64`
1968×	`fma-define`
1796×	`fma-lowering-fma.f32`
1796×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	745
1	269	690
2	653	675
3	1647	667
4	3626	667
5	7945	667
0	8375	667

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
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))
(* -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))
(* -20511149/46656 (pow x 2))
(.f64 x (.f64 x #s(literal -20511149/46656 binary64)))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(.f64 x (.f64 x (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x #s(literal -500246412961/20155392 binary64)))))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(.f64 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 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(+.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x))))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(+.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x))))
(/ -46656/20511149 (pow x 2))
(/.f64 #s(literal -46656/20511149 binary64) (*.f64 x x))
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ 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 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(* 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))
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(+.f64 #s(literal 64/24389 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64)))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -29/27 x)
(*.f64 x #s(literal -29/27 binary64))
(* x (- (* 707281/11664 x) 29/27))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.f64 x #s(literal 707281/11664 binary64))))
(* x (- (* 707281/11664 x) 29/27))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.f64 x #s(literal 707281/11664 binary64))))
(* x (- (* 707281/11664 x) 29/27))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.f64 x #s(literal 707281/11664 binary64))))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.f64 x #s(literal 707281/11664 binary64))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.f64 x #s(literal 707281/11664 binary64))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.f64 x #s(literal 707281/11664 binary64))))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.f64 x #s(literal 707281/11664 binary64))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.f64 x #s(literal 707281/11664 binary64))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(.f64 x (+.f64 #s(literal -29/27 binary64) (.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 x)
(*.f64 x #s(literal 707281/11664 binary64))

eval158.0ms (2.4%)

Compiler: Compiled 17828 to 1527 computations (91.4% saved)

prune94.0ms (1.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	618	0	618
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	618	8	626

Accuracy

100.0%

Counts

626 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.6%	(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
✓	50.9%	(/.f64 x #s(literal 108/841 binary64))
✓	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
✓	50.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64))))
✓	99.8%	(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	51.0%	(*.f64 #s(literal 841/108 binary64) x)
✓	50.7%	#s(literal 4/29 binary64)

Compiler

Compiled 290 to 131 computations (54.8% saved)

regimes21.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 x #s(literal 108/841 binary64))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -108/841 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
(.f64 (/.f64 #s(literal 108/841 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(/.f64 (+.f64 (.f64 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 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(.f64 (/.f64 #s(literal 1 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)))
(/.f64 (-.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 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)))))
(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))

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

Calls

3 calls:

7.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
6.0ms	x
5.0ms	(+.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)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
50.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.251014557580265e-7	0.03144662270948861
21.0ms	-13468.597044651611	-0.00460043109344697

Results

27.0ms

288×

valid

Compiler

Compiled 158 to 138 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (44.9% of total)

ival-mult: 4.0ms (35.9% of total)

ival-add: 1.0ms (9% of total)

const: 1.0ms (9% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

#s(literal 4/29 binary64)

Outputs

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

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

#s(literal 4/29 binary64)

soundness18.0ms (0.3%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	14	4
2	15	4
0	15	4
0	10	88
1	26	79
2	47	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

preprocess28.0ms (0.4%)

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

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

Iter	Nodes	Cost
0	11	4
1	14	4
2	15	4
0	15	4
0	10	88
1	26	79
2	47	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79

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

Iter	Nodes	Cost
0	11	4
1	14	4
2	15	4
0	15	4
0	10	88
1	26	79
2	47	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79

analyze0.0ms (0%)

sample990.0ms (14.9%)

preprocess27.0ms (0.4%)

explain90.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize34.0ms (0.5%)

series2.0ms (0%)

rewrite337.0ms (5.1%)

simplify22.0ms (0.3%)

eval24.0ms (0.4%)

prune30.0ms (0.5%)

simplify174.0ms (2.6%)

localize235.0ms (3.5%)

series12.0ms (0.2%)

rewrite918.0ms (13.8%)

simplify276.0ms (4.2%)

eval347.0ms (5.2%)

prune133.0ms (2%)

simplify200.0ms (3%)

localize242.0ms (3.6%)

series6.0ms (0.1%)

rewrite575.0ms (8.7%)

simplify324.0ms (4.9%)

eval247.0ms (3.7%)

prune150.0ms (2.3%)

simplify164.0ms (2.5%)

localize155.0ms (2.3%)

series11.0ms (0.2%)

rewrite315.0ms (4.7%)

simplify223.0ms (3.4%)

eval158.0ms (2.4%)

prune94.0ms (1.4%)

regimes21.0ms (0.3%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch39.0ms (0.6%)

simplify8.0ms (0.1%)

soundness18.0ms (0.3%)

preprocess28.0ms (0.4%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	11	4
1	14	4
2	15	4
0	15	4
0	10	88
1	26	79
2	47	79
3	68	79
4	68	79
5	83	79
6	91	79
7	97	79
8	99	79
0	99	79