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)

sample966.0ms (15.4%)

Results

643.0ms	8251×	0	valid
0.0ms	3×	1	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-div: 258.0ms (66.6% of total)

ival-mult: 65.0ms (16.8% of total)

ival-add: 42.0ms (10.8% of total)

const: 20.0ms (5.2% of total)

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

Bogosity

preprocess26.0ms (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)

explain83.0ms (1.3%)

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

52.0ms

512×

valid

Compiler

Compiled 64 to 29 computations (54.7% saved)

Precisions

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

ival-div: 8.0ms (48.4% of total)

ival-mult: 4.0ms (24.2% of total)

ival-add: 3.0ms (18.1% of total)

const: 1.0ms (6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize47.0ms (0.7%)

Localize:

Found 2 expressions of interest:

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

Results

40.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-mult: 23.0ms (72.8% of total)

...c/correct-round.rkt:119:19: 7.0ms (22.2% of total)

ival-add: 1.0ms (3.2% 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)
0.0ms	x	@	inf	(+ (* 841/108 x) 4/29)
0.0ms	x	@	inf	(* 841/108 x)
0.0ms	x	@	0	(* 841/108 x)
0.0ms	x	@	0	(+ (* 841/108 x) 4/29)

rewrite362.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 185

Calls

Call 1

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

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval24.0ms (0.4%)

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

prune28.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Accuracy

100.0%

Counts

210 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
	99.7%	(fma.f64 x (/.f64 (.f64 x #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
▶	53.1%	(/.f64 (-.f64 (+.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)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))) (.f64 (/.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 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
▶	78.3%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
▶	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))
	78.2%	(.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)))
	51.1%	(*.f64 #s(literal 841/108 binary64) x)
▶	51.2%	#s(literal 4/29 binary64)

Compiler

Compiled 254 to 155 computations (39% saved)

simplify273.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	64	(neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
✓	cost-diff	6720	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
✓	cost-diff	128	(.f64 (/.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 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))
✓	cost-diff	128	(-.f64 (+.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)) (.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64)))
✓	cost-diff	1536	(/.f64 (-.f64 (+.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)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))) (.f64 (/.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 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	cost-diff	0	(*.f64 #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

5324×	`-lowering-.f32`
5324×	`-lowering-.f64`
3314×	`/-lowering-/.f32`
3314×	`/-lowering-/.f64`
1284×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	222
1	95	198
2	291	173
3	1278	166
0	8411	166

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

Outputs
(/ 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 (* x -841/108)))
(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(+ 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 (* x -841/108))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
4/29
#s(literal 4/29 binary64)
(* x -841/108)
(*.f64 x #s(literal -841/108 binary64))
-841/108
#s(literal -841/108 binary64)
(/ (- (+ (* 841/108 x) -4/29) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) (+ (* 841/108 x) -4/29)))
(/.f64 (-.f64 (.f64 x x) #s(literal 186624/594823321 binary64)) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 707281/11664 binary64)))
(- (+ (* 841/108 x) -4/29) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841))
(+.f64 (.f64 #s(literal 841/108 binary64) x) (+.f64 #s(literal -4/29 binary64) (.f64 #s(literal 186624/594823321 binary64) (/.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) x) x))))
(+ (* 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)
(* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)
(/.f64 (+.f64 #s(literal -64/24389 binary64) (.f64 x #s(literal 4/27 binary64))) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664)))
(/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(* x (* x 707281/11664))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
16/841
#s(literal 16/841 binary64)
(* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) (+ (* 841/108 x) -4/29))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x x)) (+.f64 (.f64 x #s(literal 108/841 binary64)) #s(literal -46656/20511149 binary64)))
(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) (neg (/ 16/841 (+ (* 841/108 x) -4/29))))
(/.f64 (-.f64 (.f64 x x) #s(literal 186624/594823321 binary64)) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 707281/11664 binary64)))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
x
707281/11664
#s(literal 707281/11664 binary64)
(/ x (+ (* 841/108 x) -4/29))
(/.f64 x (+.f64 (*.f64 #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)
-4/29
#s(literal -4/29 binary64)
(neg (/ 16/841 (+ (* 841/108 x) -4/29)))
(/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(/ 16/841 (+ (* 841/108 x) -4/29))
(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
16/841
#s(literal 16/841 binary64)

localize183.0ms (2.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.7%	(fma.f64 (.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
✓	accuracy	99.5%	(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.3%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))
✓	accuracy	78.2%	(/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
✓	accuracy	75.7%	(/.f64 (-.f64 (+.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)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))) (.f64 (/.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 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.7%	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
✓	accuracy	78.3%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	accuracy	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

102.0ms	251×	0	valid
4.0ms	4×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 247 to 32 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

...c/correct-round.rkt:119:19: 23.0ms (34.6% of total)

ival-mult: 17.0ms (25.6% of total)

ival-div: 12.0ms (18.1% of total)

ival-add: 6.0ms (9% of total)

compiled-spec: 4.0ms (6% of total)

backward-pass: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

series28.0ms (0.5%)

Counts

20 → 240

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

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 16/841>
#<alt (+ 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 (/ 746496/17249876309 (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* -1728/707281 x)) (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* x (- (* -4/29 x) 1728/707281))) (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* x (- (* x (- (* 841/108 x) 4/29)) 1728/707281))) (pow x 2))>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x))))>
#<alt (* x (- (+ 841/108 (* 746496/17249876309 (/ 1 (pow x 3)))) (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))) 841/108)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)) 841/108)))>
#<alt (/ -746496/17249876309 (pow x 2))>
#<alt (/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))>
#<alt (/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))>
#<alt (/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))>
#<alt (/ 1728/707281 x)>
#<alt (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ 1728/707281 x)>
#<alt (* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))>
#<alt (/ 186624/594823321 (pow x 2))>
#<alt (/ (+ 186624/594823321 (* -864/24389 x)) (pow x 2))>
#<alt (/ (+ 186624/594823321 (* x (- x 864/24389))) (pow x 2))>
#<alt (/ (+ 186624/594823321 (* x (- x 864/24389))) (pow x 2))>
#<alt 1>
#<alt (- 1 (* 864/24389 (/ 1 x)))>
#<alt (- (+ 1 (/ 186624/594823321 (pow x 2))) (* 864/24389 (/ 1 x)))>
#<alt (- (+ 1 (/ 186624/594823321 (pow x 2))) (* 864/24389 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 864/24389 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 864/24389 (* 186624/594823321 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (- 864/24389 (* 186624/594823321 (/ 1 x))) 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 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 (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* -29/4 x)>
#<alt (* x (- (* -707281/1728 x) 29/4))>
#<alt (* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))>
#<alt (* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))>
#<alt (* -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 (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* -841/108 x)>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (/ -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 -4/29>
#<alt (- (* -841/108 x) 4/29)>
#<alt (- (* x (- (* -20511149/46656 x) 841/108)) 4/29)>
#<alt (- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))>

Calls

60 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(/ (- (+ (* 841/108 x) -4/29) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) (+ (* 841/108 x) -4/29)))
2.0ms	x	@	-inf	(/ 16/841 (+ (* 841/108 x) -4/29))
1.0ms	x	@	0	(/ (- (+ (* 841/108 x) -4/29) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) (+ (* 841/108 x) -4/29)))
1.0ms	x	@	0	(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) (neg (/ 16/841 (+ (* 841/108 x) -4/29))))
1.0ms	x	@	inf	(/ (- (+ (* 841/108 x) -4/29) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) (+ (* 841/108 x) -4/29)))

rewrite866.0ms (13.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4550×	`-lowering-.f32`
4550×	`-lowering-.f64`
3042×	`+-lowering-+.f64`
3042×	`+-lowering-+.f32`
2944×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	146
1	210	130
2	2047	125
0	9972	125

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1679

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

Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 #s(literal 4/29 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)))
(+.f64 #s(literal 4/29 binary64) (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)))
(+.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(+.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)) #s(literal 4/29 binary64))
(+.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(+.f64 (fma.f64 x (/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal -16/841 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) #s(literal -16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal -16/841 binary64))))
(+.f64 (fma.f64 x (/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)))))) (fma.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 707281/11664 binary64) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)) (neg.f64 (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))))
(+.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (.f64 x #s(literal 707281/11664 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal -16/841 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) #s(literal -16/841 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal -16/841 binary64))))
(+.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (.f64 x #s(literal 707281/11664 binary64))) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64)))))) (fma.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #s(literal -64/24389 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))))))
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(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x x)) #s(literal 186624/594823321 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)))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.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 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (*.f64 x x)) #s(literal 186624/594823321 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(.f64 #s(literal 16/841 binary64) (/.f64 (/.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 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 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 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))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x x)) #s(literal 186624/594823321 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 #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))) #s(literal 1 binary64))
(.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 16/841 binary64))
(.f64 (/.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (/.f64 (/.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 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(.f64 (/.f64 (/.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 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 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 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x x)) #s(literal 186624/594823321 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 x (*.f64 x #s(literal 707281/11664 binary64))))
(.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x))) #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 #s(literal 16/841 binary64) (+.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))

simplify273.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

2538×	`-lowering-.f32`
2538×	`-lowering-.f64`
1620×	`+-lowering-+.f64`
1620×	`+-lowering-+.f32`
1454×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	1385
1	758	1211
2	1881	1186
3	4410	1179
0	8330	1179

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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))))
(/ 746496/17249876309 (pow x 2))
(/ (+ 746496/17249876309 (* -1728/707281 x)) (pow x 2))
(/ (+ 746496/17249876309 (* x (- (* -4/29 x) 1728/707281))) (pow x 2))
(/ (+ 746496/17249876309 (* x (- (* x (- (* 841/108 x) 4/29)) 1728/707281))) (pow x 2))
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x))))
(* x (- (+ 841/108 (* 746496/17249876309 (/ 1 (pow x 3)))) (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)) 841/108)))
(/ -746496/17249876309 (pow x 2))
(/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))
(/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))
(/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))
(/ 1728/707281 x)
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ 1728/707281 x)
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))
(/ 186624/594823321 (pow x 2))
(/ (+ 186624/594823321 (* -864/24389 x)) (pow x 2))
(/ (+ 186624/594823321 (* x (- x 864/24389))) (pow x 2))
(/ (+ 186624/594823321 (* x (- x 864/24389))) (pow x 2))
1
(- 1 (* 864/24389 (/ 1 x)))
(- (+ 1 (/ 186624/594823321 (pow x 2))) (* 864/24389 (/ 1 x)))
(- (+ 1 (/ 186624/594823321 (pow x 2))) (* 864/24389 (/ 1 x)))
1
(- 1 (* 864/24389 (/ 1 x)))
(+ 1 (* -1 (/ (- 864/24389 (* 186624/594823321 (/ 1 x))) x)))
(+ 1 (* -1 (/ (- 864/24389 (* 186624/594823321 (/ 1 x))) 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))))
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))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(* -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 (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(/ -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))
-4/29
(- (* -841/108 x) 4/29)
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))

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

eval653.0ms (10.4%)

Compiler: Compiled 80490 to 3718 computations (95.4% saved)

prune213.0ms (3.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	2079	4	2083
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	2084	8	2092

Accuracy

100.0%

Counts

2092 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(/.f64 (-.f64 (+.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)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x) x) #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
▶	99.2%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)))
▶	29.4%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (*.f64 x #s(literal -841/108 binary64)))
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
▶	50.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
▶	51.1%	(*.f64 #s(literal 841/108 binary64) x)
✓	51.2%	#s(literal 4/29 binary64)

Compiler

Compiled 250 to 125 computations (50% saved)

simplify489.0ms (7.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))
✓	cost-diff	384	(-.f64 (+.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)) (.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64)))
✓	cost-diff	1536	(/.f64 (-.f64 (+.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)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x) x) #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 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 x #s(literal -841/108 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 108/841 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	256	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x))
✓	cost-diff	512	(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (.f64 x #s(literal 707281/11664 binary64))))
✓	cost-diff	896	(.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x))
✓	cost-diff	1408	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)))

Rules

6368×	`-lowering-.f32`
6368×	`-lowering-.f64`
3936×	`/-lowering-/.f32`
3936×	`/-lowering-/.f64`
1496×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	322
1	114	302
2	394	263
3	1807	255
0	8632	255

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ (+ (* (- 0 (/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29)))) (/ (+ (* 841/108 x) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (/ (+ (* 841/108 x) -4/29) x)))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (.f64 x #s(literal 64/22707 binary64)) #s(literal -1024/20511149 binary64)) x) (-.f64 #s(literal -16/841 binary64) (.f64 x (+.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal -29/27 binary64))))) (/.f64 (.f64 x #s(literal 841/729 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) x))
(+ (* (- 0 (/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29)))) (/ (+ (* 841/108 x) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (* x 707281/11664)))
(+.f64 (/.f64 (/.f64 (+.f64 (.f64 x #s(literal 64/22707 binary64)) #s(literal -1024/20511149 binary64)) x) (-.f64 #s(literal -16/841 binary64) (.f64 x (+.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal -29/27 binary64))))) (/.f64 (.f64 x #s(literal 841/729 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(* (- 0 (/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29)))) (/ (+ (* 841/108 x) -4/29) x))
(/.f64 (/.f64 (+.f64 (.f64 x #s(literal 64/22707 binary64)) #s(literal -1024/20511149 binary64)) x) (-.f64 #s(literal -16/841 binary64) (.f64 x (+.f64 (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal -29/27 binary64)))))
(- 0 (/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29))))
(/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal -16/841 binary64) (.f64 x (+.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal -29/27 binary64)))))
0
#s(literal 0 binary64)
(/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29)))
(/.f64 #s(literal 256/707281 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal -29/27 binary64)))))
256/707281
#s(literal 256/707281 binary64)
(* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29))
(+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal -29/27 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)
(/ (+ (* 841/108 x) -4/29) x)
(/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)
(* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (* x 707281/11664))
(/.f64 (.f64 x #s(literal 841/729 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(+ 0 (/ 16/841 (+ (* 841/108 x) -4/29)))
(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(/ 16/841 (+ (* 841/108 x) -4/29))
(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
16/841
#s(literal 16/841 binary64)
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
(* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (/ (+ (* 841/108 x) -4/29) x))
(/.f64 #s(literal 16/841 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
x
(/ 1 (/ 108/841 x))
(*.f64 #s(literal 841/108 binary64) x)
1
#s(literal 1 binary64)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
108/841
#s(literal 108/841 binary64)
x
(/ (+ 16/841 (* -707281/11664 (* x x))) (* x -841/108))
(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (*.f64 x #s(literal -841/108 binary64)))
(+ 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
(* x -841/108)
(*.f64 x #s(literal -841/108 binary64))
-841/108
#s(literal -841/108 binary64)
(/ (- (+ (* 841/108 x) -4/29) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)) (* (/ (/ (/ (+ (* 841/108 x) -4/29) x) x) 707281/11664) (+ (* 841/108 x) -4/29)))
(/.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)))
(- (+ (* 841/108 x) -4/29) (* (/ (+ (* 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 1 binary64) (/.f64 (/.f64 #s(literal 186624/594823321 binary64) x) x)))
(+ (* 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)
(* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)
(/.f64 (+.f64 #s(literal -64/24389 binary64) (.f64 x #s(literal 4/27 binary64))) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664)))
(/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(* x (* x 707281/11664))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
16/841
#s(literal 16/841 binary64)
(* (/ (/ (/ (+ (* 841/108 x) -4/29) x) x) 707281/11664) (+ (* 841/108 x) -4/29))
(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (+.f64 (+.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal -29/27 binary64)))) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(/ (/ (/ (+ (* 841/108 x) -4/29) x) x) 707281/11664)
(/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(/ (/ (+ (* 841/108 x) -4/29) x) x)
(/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x x))
(/ (+ (* 841/108 x) -4/29) x)
(/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)

localize225.0ms (3.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x) x) #s(literal 707281/11664 binary64))
✓	accuracy	99.3%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))
✓	accuracy	78.2%	(/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
✓	accuracy	75.7%	(/.f64 (-.f64 (+.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)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x) x) #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.7%	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
✓	accuracy	77.8%	(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (*.f64 x #s(literal -841/108 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 108/841 binary64) x)
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.5%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)))
✓	accuracy	99.5%	(/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
✓	accuracy	99.4%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x))
✓	accuracy	98.8%	(/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))

Results

145.0ms

256×

valid

Compiler

Compiled 421 to 41 computations (90.3% saved)

Precisions

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

ival-mult: 35.0ms (39.8% of total)

...c/correct-round.rkt:119:19: 26.0ms (29.6% of total)

ival-div: 19.0ms (21.6% of total)

ival-add: 5.0ms (5.7% of total)

ival-sub: 3.0ms (3.4% of total)

const: 1.0ms (1.1% of total)

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

series13.0ms (0.2%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/ (+ (* (- 0 (/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29)))) (/ (+ (* 841/108 x) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (* x 707281/11664))) (* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (/ (+ (* 841/108 x) -4/29) x)))>
#<alt (* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (/ (+ (* 841/108 x) -4/29) x))>
#<alt (+ (* (- 0 (/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29)))) (/ (+ (* 841/108 x) -4/29) x)) (* (+ 0 (/ 16/841 (+ (* 841/108 x) -4/29))) (* x 707281/11664)))>
#<alt (* (- 0 (/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29)))) (/ (+ (* 841/108 x) -4/29) x))>
#<alt (* 841/108 x)>
#<alt (/ 1 (/ 108/841 x))>
#<alt (/ 108/841 x)>
#<alt (/ (+ 16/841 (* -707281/11664 (* x x))) (* x -841/108))>
#<alt (+ 16/841 (* -707281/11664 (* x x)))>
#<alt (* -707281/11664 (* x x))>
#<alt (* x x)>
#<alt (/ (- (+ (* 841/108 x) -4/29) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)) (* (/ (/ (/ (+ (* 841/108 x) -4/29) x) x) 707281/11664) (+ (* 841/108 x) -4/29)))>
#<alt (- (+ (* 841/108 x) -4/29) (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841))>
#<alt (* (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664))) 16/841)>
#<alt (+ (* 841/108 x) -4/29)>
#<alt (/ 256/707281 (* (+ (* 841/108 x) -4/29) (+ (* 841/108 x) -4/29)))>
#<alt (/ 16/841 (+ (* 841/108 x) -4/29))>
#<alt (* x -841/108)>
#<alt (/ (+ (* 841/108 x) -4/29) (* x (* x 707281/11664)))>
#<alt (/ (/ (/ (+ (* 841/108 x) -4/29) x) 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 (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 16/841 x)>
#<alt (/ 64/24389 x)>
#<alt (/ (+ 64/24389 (* 4/27 x)) x)>
#<alt (/ (+ 64/24389 (* 4/27 x)) x)>
#<alt (/ (+ 64/24389 (* 4/27 x)) x)>
#<alt 4/27>
#<alt (+ 4/27 (* 64/24389 (/ 1 x)))>
#<alt (+ 4/27 (* 64/24389 (/ 1 x)))>
#<alt (+ 4/27 (* 64/24389 (/ 1 x)))>
#<alt 4/27>
#<alt (+ 4/27 (* 64/24389 (/ 1 x)))>
#<alt (+ 4/27 (* 64/24389 (/ 1 x)))>
#<alt (+ 4/27 (* 64/24389 (/ 1 x)))>
#<alt (/ 64/24389 x)>
#<alt (/ (+ 64/24389 (* 4/27 x)) x)>
#<alt (/ (+ 64/24389 (* x (+ 4/27 (* 24389/2916 x)))) x)>
#<alt (/ (+ 64/24389 (* x (+ 4/27 (* x (+ 24389/2916 (* 594823321/1259712 x)))))) x)>
#<alt (/ -27648/594823321 (pow x 2))>
#<alt (* -1 (/ (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 11943936/14507145975869 (* 5159780352/353814783205469041 (/ 1 x))) x)) 27648/594823321) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 5159780352/353814783205469041 (* 2229025112064/8629188747598184440949 (/ 1 x))) (pow x 2))) (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x)))) (pow x 2))>
#<alt (/ -27648/594823321 (pow x 2))>
#<alt (* -1 (/ (+ 27648/594823321 (* 11943936/14507145975869 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 11943936/14507145975869 (* 5159780352/353814783205469041 (/ 1 x))) x)) 27648/594823321) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 11943936/14507145975869 (+ (/ 2229025112064/8629188747598184440949 (pow x 2)) (* 5159780352/353814783205469041 (/ 1 x)))) x)) 27648/594823321) (pow x 2))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ -1728/707281 x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt 16/841>
#<alt (+ 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 (/ 746496/17249876309 (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* -1728/707281 x)) (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* x (- (* -4/29 x) 1728/707281))) (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* x (- (* x (- (* 841/108 x) 4/29)) 1728/707281))) (pow x 2))>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x))))>
#<alt (* x (- (+ 841/108 (* 746496/17249876309 (/ 1 (pow x 3)))) (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))) 841/108)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)) 841/108)))>
#<alt (/ -746496/17249876309 (pow x 2))>
#<alt (/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))>
#<alt (/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))>
#<alt (/ (- (* 1728/707281 x) 746496/17249876309) (pow x 2))>
#<alt (/ 1728/707281 x)>
#<alt (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (- 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ 1728/707281 x)>
#<alt (* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* 746496/17249876309 (/ 1 x)) 1728/707281) x))>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt 16/841>
#<alt (+ 16/841 (* 58/27 x))>
#<alt (+ 16/841 (* x (+ 58/27 (* 707281/3888 x))))>
#<alt (+ 16/841 (* x (+ 58/27 (* x (+ 707281/3888 (* 17249876309/1259712 x))))))>
#<alt (/ 2985984/500246412961 (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (+ (* 2579890176/12200509765705829 (/ 1 x)) (* 962938848411648/7257147736730073114838109 (/ 1 (pow x 3)))))) (pow x 2))>
#<alt (/ 2985984/500246412961 (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 2985984/500246412961 (* -1 (/ (- (* -1 (/ (+ 1671768834048/297558232675799463481 (* 962938848411648/7257147736730073114838109 (/ 1 x))) x)) 2579890176/12200509765705829) x))) (pow x 2))>
#<alt -4/29>
#<alt (- (* -841/108 x) 4/29)>
#<alt (- (* x (- (* -20511149/46656 x) 841/108)) 4/29)>
#<alt (- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1728/707281 x)>
#<alt (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (/ -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 (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))>

Calls

60 calls:

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

rewrite337.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3172×	`-lowering-.f32`
3172×	`-lowering-.f64`
2638×	`fma-lowering-fma.f32`
2638×	`fma-lowering-fma.f64`
1830×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	219
1	268	204
2	3234	201
0	8119	201

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 726

Calls

Call 1

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

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

simplify249.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2812×	`-lowering-.f32`
2812×	`-lowering-.f64`
1910×	`+-lowering-+.f64`
1910×	`+-lowering-+.f32`
1342×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	1399
1	652	1236
2	1659	1185
3	3715	1166
0	8340	1166

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

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 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
(/.f64 #s(literal 16/841 binary64) x)
(/ 16/841 x)
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(/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (+ (* 2579890176/12200509765705829 (/ 1 x)) (* 962938848411648/7257147736730073114838109 (/ 1 (pow x 3)))))) (pow x 2))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2579890176/12200509765705829 binary64) (/.f64 #s(literal 962938848411648/7257147736730073114838109 binary64) (.f64 x x)))) (+.f64 #s(literal 2985984/500246412961 binary64) (/.f64 #s(literal 1671768834048/297558232675799463481 binary64) (.f64 x x)))) (.f64 x x))
(/ 2985984/500246412961 (pow x 2))
(/.f64 #s(literal 2985984/500246412961 binary64) (*.f64 x x))
(/ (+ 2985984/500246412961 (* 2579890176/12200509765705829 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2985984/500246412961 binary64) (/.f64 #s(literal 2579890176/12200509765705829 binary64) x)) (*.f64 x x))
(/ (+ 2985984/500246412961 (+ (/ 1671768834048/297558232675799463481 (pow x 2)) (* 2579890176/12200509765705829 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2985984/500246412961 binary64) (+.f64 (/.f64 #s(literal 2579890176/12200509765705829 binary64) x) (/.f64 #s(literal 1671768834048/297558232675799463481 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 2985984/500246412961 (* -1 (/ (- (* -1 (/ (+ 1671768834048/297558232675799463481 (* 962938848411648/7257147736730073114838109 (/ 1 x))) x)) 2579890176/12200509765705829) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2985984/500246412961 binary64) (/.f64 (+.f64 #s(literal 2579890176/12200509765705829 binary64) (/.f64 (+.f64 #s(literal 1671768834048/297558232675799463481 binary64) (/.f64 #s(literal 962938848411648/7257147736730073114838109 binary64) x)) x)) x)) (*.f64 x x))
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(+.f64 #s(literal -4/29 binary64) (.f64 x (+.f64 #s(literal -841/108 binary64) (.f64 x #s(literal -20511149/46656 binary64)))))
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(+.f64 #s(literal -4/29 binary64) (.f64 x (+.f64 #s(literal -841/108 binary64) (.f64 x (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x #s(literal -500246412961/20155392 binary64)))))))
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x))) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) (.f64 x (*.f64 x x))))) x)
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) (*.f64 x x)))) x)) x)
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(/ -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 (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)

eval328.0ms (5.2%)

Compiler: Compiled 83239 to 4816 computations (94.2% saved)

prune174.0ms (2.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1738	1	1739
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	1742	5	1747

Accuracy

100.0%

Counts

1747 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(/.f64 x #s(literal 108/841 binary64))
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	51.1%	(*.f64 #s(literal 841/108 binary64) x)
✓	51.2%	#s(literal 4/29 binary64)

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x 108/841)
x
108/841

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

localize17.0ms (0.3%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 x #s(literal 108/841 binary64))

Results

12.0ms

256×

valid

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

...c/correct-round.rkt:119:19: 4.0ms (66.1% of total)

ival-div: 2.0ms (33.1% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ x 108/841)>

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

Calls

3 calls:

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

rewrite199.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2328×	`-lowering-.f32`
2328×	`-lowering-.f64`
1932×	`/-lowering-/.f32`
1932×	`/-lowering-/.f64`
1460×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	39	3
3	145	3
4	658	3
5	6489	3
0	8031	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 236

Calls

Call 1

Inputs
(/ x 108/841)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)

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

eval24.0ms (0.4%)

Compiler: Compiled 2815 to 450 computations (84% saved)

prune34.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	248	5	253

Accuracy

100.0%

Counts

253 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(/.f64 x #s(literal 108/841 binary64))
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	99.9%	(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
✓	51.1%	(*.f64 #s(literal 841/108 binary64) x)
✓	51.2%	#s(literal 4/29 binary64)

Compiler

Compiled 268 to 87 computations (67.5% saved)

regimes17.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 x #s(literal 108/841 binary64))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(+.f64 (*.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 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -707281/11664 binary64) (.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(.f64 (/.f64 #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 (.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)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))) (.f64 (/.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 #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)) (.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) #s(literal 16/841 binary64))) (.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x) x) #s(literal 707281/11664 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256/707281 binary64) (.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (+.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) x)))
(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:

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

Results

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

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
99.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
51.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch48.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.001806120491402e-10	14.719811443205586
17.0ms	-23950092341.379395	-2.0829890977466657e-16

Results

20.0ms

336×

valid

Compiler

Compiled 182 to 159 computations (12.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 7.0ms (57% of total)

ival-mult: 3.0ms (24.4% of total)

ival-add: 2.0ms (16.3% of total)

const: 1.0ms (8.1% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

#s(literal 4/29 binary64)

Outputs

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

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

#s(literal 4/29 binary64)

soundness14.0ms (0.2%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 54 to 38 computations (29.6% saved)

preprocess50.0ms (0.8%)

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

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

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

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

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

analyze0.0ms (0%)

sample966.0ms (15.4%)

preprocess26.0ms (0.4%)

explain83.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize47.0ms (0.7%)

series2.0ms (0%)

rewrite362.0ms (5.8%)

simplify10.0ms (0.2%)

eval24.0ms (0.4%)

prune28.0ms (0.5%)

simplify273.0ms (4.3%)

localize183.0ms (2.9%)

series28.0ms (0.5%)

rewrite866.0ms (13.8%)

simplify273.0ms (4.3%)

eval653.0ms (10.4%)

prune213.0ms (3.4%)

simplify489.0ms (7.8%)

localize225.0ms (3.6%)

series13.0ms (0.2%)

rewrite337.0ms (5.4%)

simplify249.0ms (4%)

eval328.0ms (5.2%)

prune174.0ms (2.8%)

simplify4.0ms (0.1%)

localize17.0ms (0.3%)

series0.0ms (0%)

rewrite199.0ms (3.2%)

simplify9.0ms (0.1%)

eval24.0ms (0.4%)

prune34.0ms (0.5%)

regimes17.0ms (0.3%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch48.0ms (0.8%)

simplify8.0ms (0.1%)

soundness14.0ms (0.2%)

preprocess50.0ms (0.8%)

end0.0ms (0%)

Profiling

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

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