Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.3s (23.2%)

Memory

21.0MiB live, 728.9MiB allocated

Samples

878.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-mult: 185.0ms (35.9% of total)

ival-div: 182.0ms (35.3% of total)

ival-sub: 130.0ms (25.2% of total)

exact: 10.0ms (1.9% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain103.0ms (1.9%)

Memory

-12.5MiB live, 102.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 16 binary64)`
-	-	`#s(literal 116 binary64)`
-	-	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
-	-	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
-	-	`(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))`
-	-	`y`
-	-	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

24.0ms	450×	0	valid
4.0ms	40×	1	valid
3.0ms	22×	2	valid

Compiler

Compiled 100 to 40 computations (60% saved)

Precisions

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

ival-mult: 7.0ms (42.1% of total)

ival-div: 5.0ms (30.1% of total)

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

adjust: 1.0ms (6% of total)

exact: 1.0ms (6% of total)

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

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

preprocess16.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	41	37
2	93	37
3	161	37
4	197	37
5	209	37
0	9	7
0	14	7
1	18	7
2	25	7
3	27	7
0	27	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Outputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(.f64 y (.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))))

Symmetry

(negabs y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Compiler

Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
cost-diff	0	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
cost-diff	2	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	14	21
1	18	21
2	25	21
3	27	21
0	27	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y

Outputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(.f64 y (.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 4/29 binary64)
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y

localize61.0ms (1.1%)

Memory

-15.1MiB live, 26.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy	0.12109375	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
accuracy	0.1484375	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Samples

51.0ms	225×	0	valid
2.0ms	20×	1	valid
2.0ms	11×	2	valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 41.0ms (87.2% of total)

ival-div: 3.0ms (6.4% of total)

ival-sub: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 16

Calls

Call 1

Inputs
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
-4/29
(- x 4/29)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* y (- x 4/29)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116)))
1.0ms	x	@	inf	((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116)))
1.0ms	y	@	0	((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116)))
1.0ms	x	@	0	((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116)))
1.0ms	y	@	inf	((/ 16 116) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- x (/ 16 116)))

simplify108.0ms (2%)

Memory

-0.5MiB live, 74.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	82
1	107	74
2	286	74
3	638	74
4	1679	74
5	2514	74
6	3672	74
7	4630	74
8	6201	74
0	8078	68

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
-4/29
(- x 4/29)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* y (- x 4/29)))

Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)

rewrite206.0ms (3.8%)

Memory

15.4MiB live, 168.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	14	16
1	32	16
2	135	16
3	968	16
0	8469	16

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 255

Calls

Call 1

Inputs
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Outputs
#s(literal 4/29 binary64)
(.f64 (/.f64 y (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal -4/29 binary64) (neg.f64 x))))
(.f64 (/.f64 y (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(.f64 (/.f64 y (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (/.f64 y (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal -4/29 binary64) (neg.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 y (+.f64 #s(literal -4/29 binary64) (neg.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 y (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 y (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 y (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -4/29 binary64) (neg.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y) #s(literal -3 binary64)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 (.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 x x (.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 y (.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) y)
(.f64 #s(literal 3 binary64) (.f64 y (-.f64 x #s(literal 4/29 binary64))))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 y (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal -4/29 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 y (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 16/841 binary64) (.f64 x x)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 16/841 binary64) (.f64 x x)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 x #s(literal 4/29 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (-.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 4/29 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (/.f64 #s(literal 262144/14507145975869 binary64) (.f64 (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 x #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal -4096/594823321 binary64) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal -262144/14507145975869 binary64) (+.f64 (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -4096/594823321 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(-.f64 x #s(literal 4/29 binary64))
(+.f64 (.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))))
(+.f64 (.f64 x (/.f64 x (+.f64 x #s(literal 4/29 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal -64/24389 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 x x (.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))

eval83.0ms (1.5%)

Memory: -29.2MiB live, 64.6MiB allocated
Compiler: Compiled 8 401 to 1 021 computations (87.8% saved)

prune7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	258	7	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	259	7	266

Accuracy

100.0%

Counts

266 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.7%	(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	99.6%	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
▶	99.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
▶	54.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
▶	47.1%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	54.6%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 160 to 148 computations (7.5% saved)

simplify10.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x #s(literal 4/29 binary64))
cost-diff	0	(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
cost-diff	0	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	35	117
1	50	117
2	65	117
3	72	117
4	81	117
5	93	117
6	121	117
7	148	117
8	173	117
9	203	117
10	240	117
11	277	117
12	307	117
0	307	117

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)
y
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
y
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
#s(literal 3 binary64)

Outputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
(.f64 y #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)
y
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
y
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
#s(literal 3 binary64)

localize89.0ms (1.7%)

Memory

-28.2MiB live, 85.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.0625	(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
accuracy	0.2421875	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.12109375	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
accuracy	29.21890585145168	#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.26171875	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	28.915372136886713	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
accuracy	0.12109375	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy	33.968008141370184	#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy	0.0	#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
accuracy	0.00390625	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
accuracy	0.12109375	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)

Samples

62.0ms	225×	0	valid
5.0ms	19×	1	valid
4.0ms	12×	2	valid

Compiler

Compiled 237 to 46 computations (80.6% saved)

Precisions

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

ival-sub: 31.0ms (55.3% of total)

ival-mult: 10.0ms (17.8% of total)

const: 9.0ms (16.1% of total)

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

adjust: 1.0ms (1.8% of total)

ival-add: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

14 → 22

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(-.f64 x #s(literal 4/29 binary64))

Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(* 3 (* x y))
(* x y)
(* 3 x)
(* -4/29 y)
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))
2.0ms	x	@	0	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))
1.0ms	x	@	-inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))
1.0ms	x	@	inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))
1.0ms	y	@	inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (+ (* 3 x) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29))

simplify129.0ms (2.4%)

Memory

22.1MiB live, 97.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	103
1	152	95
2	433	95
3	1011	95
4	2698	95
5	4116	95
6	4804	95
7	5005	95
8	5067	95
9	5096	95
10	6390	95
11	7403	95
0	8049	89

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(* 3 (* x y))
(* x y)
(* 3 x)
(* -4/29 y)
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))

Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* x y)
(*.f64 y x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)

rewrite301.0ms (5.6%)

Memory

-30.4MiB live, 284.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	101
0	35	101
1	78	101
2	306	101
3	2200	101
0	9007	101

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 301

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(-.f64 x #s(literal 4/29 binary64))

Outputs
(.f64 y #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 144/841 binary64) (.f64 #s(literal -36/29 binary64) x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -36/29 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 144/841 binary64) (.f64 #s(literal -36/29 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 144/841 binary64) (.f64 #s(literal -36/29 binary64) x)) (-.f64 (-.f64 #s(literal 144/841 binary64) (.f64 #s(literal -36/29 binary64) x)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))))
(/.f64 (+.f64 #s(literal -1728/24389 binary64) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)) (.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (.f64 #s(literal -12/29 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 144/841 binary64)) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (/.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 144/841 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) #s(literal 144/841 binary64)))) (neg.f64 (pow.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1728/24389 binary64)))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x))) (.f64 (-.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal -144/841 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 144/841 binary64))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) #s(literal -144/841 binary64))) (.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))
(/.f64 (fma.f64 #s(literal 1728/24389 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1728/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(/.f64 (fma.f64 #s(literal -1728/24389 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (fma.f64 #s(literal -1728/24389 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 2 binary64)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 #s(literal 4/29 binary64) x))) (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 x x #s(literal 16/841 binary64)) (+.f64 #s(literal 4/29 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 4/29 binary64) x))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 4/29 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))) (/.f64 #s(literal 262144/14507145975869 binary64) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 #s(literal 4/29 binary64) x)) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 #s(literal 4/29 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 4/29 binary64) x)) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (fma.f64 #s(literal 16/841 binary64) (.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 4/29 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 4/29 binary64) x))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(-.f64 x #s(literal 4/29 binary64))

eval40.0ms (0.7%)

Memory: 17.7MiB live, 92.1MiB allocated
Compiler: Compiled 9 083 to 1 323 computations (85.4% saved)

prune27.0ms (0.5%)

Memory

-31.3MiB live, 30.0MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	308	3	311
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	309	9	318

Accuracy

100.0%

Counts

318 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.7%	(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
▶	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
▶	47.0%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
✓	99.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
▶	99.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) y)
✓	54.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	47.1%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	54.6%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
▶	54.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 199 to 171 computations (14.1% saved)

simplify31.0ms (0.6%)

Memory

34.0MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 16/841 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y)
cost-diff	0	(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(-.f64 x #s(literal 4/29 binary64))
cost-diff	0	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
cost-diff	0	#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
cost-diff	0	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
cost-diff	0	(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
cost-diff	0	(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	223
0	58	223
1	89	223
2	142	223
3	201	223
4	305	223
5	441	223
6	559	223
7	633	223
8	725	223
9	912	223
10	1174	223
11	1249	223
0	1249	223

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) y)
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal -12/29 binary64)
(/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
#s(literal 144/841 binary64)
y
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y)
(-.f64 (*.f64 x x) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal 16/841 binary64)
y
#s(literal 3 binary64)
(+.f64 x #s(literal 4/29 binary64))
#s(literal 4/29 binary64)

Outputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) y)
(.f64 y #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (.f64 x x)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (.f64 x x)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(-.f64 (.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (.f64 x x)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (*.f64 x x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal -12/29 binary64)
(/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
#s(literal 144/841 binary64)
y
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) y)
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(.f64 (/.f64 y (+.f64 #s(literal 4/29 binary64) x)) (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y)
(-.f64 (*.f64 x x) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal 16/841 binary64)
y
#s(literal 3 binary64)
(+.f64 x #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) x)
#s(literal 4/29 binary64)

localize180.0ms (3.3%)

Memory

-26.3MiB live, 211.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 (*.f64 x x) #s(literal 16/841 binary64))
accuracy	0.1875	(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))
accuracy	4.292276436564342	(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y)
accuracy	8.110306531151425	(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
accuracy	0.0	(*.f64 y #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.2578125	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	0.0625	(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
accuracy	0.2421875	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
accuracy	33.94998444367762	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0.0	(*.f64 y #s(literal 3 binary64))
accuracy	0.19921875	(.f64 (.f64 y #s(literal 3 binary64)) x)
accuracy	28.915372136886713	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
accuracy	0.12109375	(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) y)
accuracy	0.1484375	(/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
accuracy	0.248378759768442	(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
accuracy	0.26171875	(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))

Samples

54.0ms	206×	0	valid
51.0ms	28×	1	valid
13.0ms	22×	2	valid

Compiler

Compiled 408 to 77 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

const: 55.0ms (56.8% of total)

ival-mult: 21.0ms (21.7% of total)

ival-div: 8.0ms (8.3% of total)

ival-sub: 7.0ms (7.2% of total)

adjust: 4.0ms (4.1% of total)

ival-add: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

18 → 67

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) y)
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y)
(-.f64 (*.f64 x x) #s(literal 16/841 binary64))
(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
(/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))

Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(* 87/4 (pow x 2))
(* (pow x 2) (+ 87/4 (* -2523/16 x)))
(* (pow x 2) (+ 87/4 (* x (- (* 73167/64 x) 2523/16))))
(* (pow x 2) (+ 87/4 (* x (- (* x (+ 73167/64 (* -2121843/256 x))) 2523/16))))
(* 3 (* x y))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(* -48/841 y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(* -16/841 y)
(+ (* -16/841 y) (* (pow x 2) y))
-16/841
(- (pow x 2) 16/841)
(* 29/12 x)
(* x (+ 29/12 (* -841/48 x)))
(* x (+ 29/12 (* x (- (* 24389/192 x) 841/48))))
(* x (+ 29/12 (* x (- (* x (+ 24389/192 (* -707281/768 x))) 841/48))))
12/29
(+ 12/29 (* -3 x))
(+ 12/29 (* x (- (* 87/4 x) 3)))
(+ 12/29 (* x (- (* x (+ 87/4 (* -2523/16 x))) 3)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (* 12/29 (/ 1 x))))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (+ (* 12/29 (/ 1 x)) (* 192/24389 (/ 1 (pow x 3))))))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* (pow x 2) y))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) y)
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
1/3
(- 1/3 (* 4/87 (/ 1 x)))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (* 4/87 (/ 1 x)))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))
(/ 48/841 x)
(/ (- 48/841 (* 192/24389 (/ 1 x))) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (* 192/24389 (/ 1 x))) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3))))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* 48/841 (/ 1 x)) 12/29) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x)) 12/29) x)) 3)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+ 1/3 (* -1 (/ (- 4/87 (* 16/2523 (/ 1 x))) x)))
(+ 1/3 (* -1 (/ (+ 4/87 (* -1 (/ (- 16/2523 (* 64/73167 (/ 1 x))) x))) x)))
(* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x))
(* -1 (/ (- (* -1 (/ (- (* 768/707281 (/ 1 x)) 192/24389) x)) 48/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3072/20511149 (/ 1 x)) 768/707281) x)) 192/24389) x)) 48/841) x))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* y (- x 4/29))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (* y (- (pow x 2) 16/841)))
(* y (- (pow x 2) 16/841))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ x (- (* 3 x) -12/29)) (/ 144/841 (- (* 3 x) -12/29)))
3.0ms	x	@	inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ x (- (* 3 x) -12/29)) (/ 144/841 (- (* 3 x) -12/29)))
3.0ms	x	@	0	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ x (- (* 3 x) -12/29)) (/ 144/841 (- (* 3 x) -12/29)))
2.0ms	y	@	-inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ x (- (* 3 x) -12/29)) (/ 144/841 (- (* 3 x) -12/29)))
2.0ms	y	@	0	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841) (/ x (- (* 3 x) -12/29)) (/ 144/841 (- (* 3 x) -12/29)))

simplify140.0ms (2.6%)

Memory

-0.1MiB live, 192.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	554
1	657	538
2	1649	520
3	4677	515
0	8258	492

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(* 87/4 (pow x 2))
(* (pow x 2) (+ 87/4 (* -2523/16 x)))
(* (pow x 2) (+ 87/4 (* x (- (* 73167/64 x) 2523/16))))
(* (pow x 2) (+ 87/4 (* x (- (* x (+ 73167/64 (* -2121843/256 x))) 2523/16))))
(* 3 (* x y))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(* -48/841 y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(* -16/841 y)
(+ (* -16/841 y) (* (pow x 2) y))
-16/841
(- (pow x 2) 16/841)
(* 29/12 x)
(* x (+ 29/12 (* -841/48 x)))
(* x (+ 29/12 (* x (- (* 24389/192 x) 841/48))))
(* x (+ 29/12 (* x (- (* x (+ 24389/192 (* -707281/768 x))) 841/48))))
12/29
(+ 12/29 (* -3 x))
(+ 12/29 (* x (- (* 87/4 x) 3)))
(+ 12/29 (* x (- (* x (+ 87/4 (* -2523/16 x))) 3)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (* 12/29 (/ 1 x))))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (+ (* 12/29 (/ 1 x)) (* 192/24389 (/ 1 (pow x 3))))))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* (pow x 2) y))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* (pow x 2) y)
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
1/3
(- 1/3 (* 4/87 (/ 1 x)))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (* 4/87 (/ 1 x)))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))
(/ 48/841 x)
(/ (- 48/841 (* 192/24389 (/ 1 x))) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (* 192/24389 (/ 1 x))) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3))))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* 48/841 (/ 1 x)) 12/29) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x)) 12/29) x)) 3)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+ 1/3 (* -1 (/ (- 4/87 (* 16/2523 (/ 1 x))) x)))
(+ 1/3 (* -1 (/ (+ 4/87 (* -1 (/ (- 16/2523 (* 64/73167 (/ 1 x))) x))) x)))
(* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x))
(* -1 (/ (- (* -1 (/ (- (* 768/707281 (/ 1 x)) 192/24389) x)) 48/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3072/20511149 (/ 1 x)) 768/707281) x)) 192/24389) x)) 48/841) x))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* y (- x 4/29))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (* y (- (pow x 2) 16/841)))
(* y (- (pow x 2) 16/841))

Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 12/29 binary64))
(* 87/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 87/4 binary64))
(* (pow x 2) (+ 87/4 (* -2523/16 x)))
(.f64 (.f64 (fma.f64 #s(literal -2523/16 binary64) x #s(literal 87/4 binary64)) x) x)
(* (pow x 2) (+ 87/4 (* x (- (* 73167/64 x) 2523/16))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 73167/64 binary64) x) #s(literal 2523/16 binary64)) x #s(literal 87/4 binary64)) x) x)
(* (pow x 2) (+ 87/4 (* x (- (* x (+ 73167/64 (* -2121843/256 x))) 2523/16))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2121843/256 binary64) x #s(literal 73167/64 binary64)) x) #s(literal 2523/16 binary64)) x #s(literal 87/4 binary64)) x) x)
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* -48/841 y)
(*.f64 #s(literal -48/841 binary64) y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) y)
(* -16/841 y)
(*.f64 #s(literal -16/841 binary64) y)
(+ (* -16/841 y) (* (pow x 2) y))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)
-16/841
#s(literal -16/841 binary64)
(- (pow x 2) 16/841)
(-.f64 (*.f64 x x) #s(literal 16/841 binary64))
(* 29/12 x)
(*.f64 #s(literal 29/12 binary64) x)
(* x (+ 29/12 (* -841/48 x)))
(*.f64 (fma.f64 #s(literal -841/48 binary64) x #s(literal 29/12 binary64)) x)
(* x (+ 29/12 (* x (- (* 24389/192 x) 841/48))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 24389/192 binary64) x) #s(literal 841/48 binary64)) x #s(literal 29/12 binary64)) x)
(* x (+ 29/12 (* x (- (* x (+ 24389/192 (* -707281/768 x))) 841/48))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal 24389/192 binary64)) x) #s(literal 841/48 binary64)) x #s(literal 29/12 binary64)) x)
12/29
#s(literal 12/29 binary64)
(+ 12/29 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64))
(+ 12/29 (* x (- (* 87/4 x) 3)))
(fma.f64 (-.f64 (*.f64 #s(literal 87/4 binary64) x) #s(literal 3 binary64)) x #s(literal 12/29 binary64))
(+ 12/29 (* x (- (* x (+ 87/4 (* -2523/16 x))) 3)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2523/16 binary64) x #s(literal 87/4 binary64)) x) #s(literal 3 binary64)) x #s(literal 12/29 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(.f64 (.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x)) x)
(* x (- (+ 3 (/ 48/841 (pow x 2))) (* 12/29 (/ 1 x))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 48/841 binary64) x) #s(literal 12/29 binary64)) x) #s(literal 3 binary64)) x)
(* x (- (+ 3 (/ 48/841 (pow x 2))) (+ (* 12/29 (/ 1 x)) (* 192/24389 (/ 1 (pow x 3))))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 192/24389 binary64) x)) x) #s(literal 12/29 binary64)) x) #s(literal 3 binary64)) x)
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal -4/29 binary64) x) y y) x)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(fma.f64 (/.f64 #s(literal -4/29 binary64) x) x x)
(* 3 (* (pow x 2) y))
(.f64 (.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 (.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal -48/841 binary64) x) x) #s(literal -3 binary64))) x) x)
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -16/841 binary64) y) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -16/841 binary64) (.f64 x x)) x x) x)
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 4/87 (/ 1 x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (* 4/87 (/ 1 x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/87 binary64) (/.f64 (-.f64 #s(literal 16/2523 binary64) (/.f64 #s(literal 64/73167 binary64) x)) x)) x))
(/ 48/841 x)
(/.f64 #s(literal 48/841 binary64) x)
(/ (- 48/841 (* 192/24389 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 192/24389 binary64) x)) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (* 192/24389 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 768/707281 binary64) x) #s(literal 192/24389 binary64)) x) #s(literal 48/841 binary64)) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 3072/20511149 binary64) x) #s(literal 768/707281 binary64)) #s(literal -192/24389 binary64)) x) #s(literal 48/841 binary64)) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(.f64 (.f64 y (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 12/29 binary64) x))) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (- (* 48/841 (/ 1 x)) 12/29) x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 48/841 binary64) x) #s(literal 12/29 binary64)) (neg.f64 x)) #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x)) 12/29) x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 192/24389 binary64) x)) x) #s(literal 12/29 binary64)) (neg.f64 x)) #s(literal 3 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -4/29 binary64) x) y y) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64)))
(+ 1/3 (* -1 (/ (- 4/87 (* 16/2523 (/ 1 x))) x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x))
(+ 1/3 (* -1 (/ (+ 4/87 (* -1 (/ (- 16/2523 (* 64/73167 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/87 binary64) (/.f64 (-.f64 #s(literal 16/2523 binary64) (/.f64 #s(literal 64/73167 binary64) x)) x)) x))
(* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x))
(/.f64 (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 192/24389 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 768/707281 (/ 1 x)) 192/24389) x)) 48/841) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 768/707281 binary64) x) #s(literal 192/24389 binary64)) x) #s(literal 48/841 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3072/20511149 (/ 1 x)) 768/707281) x)) 192/24389) x)) 48/841) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 3072/20511149 binary64) x) #s(literal 768/707281 binary64)) #s(literal -192/24389 binary64)) x) #s(literal 48/841 binary64)) x)
(* 3 (* y (- x 4/29)))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 4/29 binary64) x)) (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))
(* y (- (pow x 2) 16/841))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)

rewrite677.0ms (12.6%)

Memory

-24.8MiB live, 222.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	182
0	58	176
1	153	134
2	837	134
0	8487	131

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

18 → 440

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) y)
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))
(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y)
(-.f64 (*.f64 x x) #s(literal 16/841 binary64))
(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
(/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))

Outputs
(.f64 y #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
#s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
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(/.f64 (-.f64 #s(literal 144/841 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
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(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) (/.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(fma.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(fma.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(+.f64 (.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))) (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))) (.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 144/841 binary64)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))) (.f64 (.f64 #s(literal -36/29 binary64) x) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))) (.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) #s(literal -12/29 binary64)) (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (*.f64 #s(literal 3 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (.f64 #s(literal 3 binary64) x)) (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) #s(literal -12/29 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 144/841 binary64))) (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 #s(literal -36/29 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))) (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))))

eval312.0ms (5.8%)

Memory: 31.6MiB live, 105.4MiB allocated
Compiler: Compiled 14 662 to 1 817 computations (87.6% saved)

prune20.0ms (0.4%)

Memory

-16.8MiB live, 30.0MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	417	3	420
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	419	10	429

Accuracy

100.0%

Counts

429 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.7%	(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
✓	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	47.0%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
▶	46.9%	(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
✓	99.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
▶	97.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
✓	54.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	47.1%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	54.6%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
✓	54.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 141 to 127 computations (9.9% saved)

simplify15.0ms (0.3%)

Memory

-17.0MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x #s(literal 4/29 binary64))
cost-diff	0	(*.f64 #s(literal -48/841 binary64) y)
cost-diff	0	#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))
cost-diff	0	(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
cost-diff	0	#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
cost-diff	0	(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64))))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	181
0	51	181
1	73	181
2	109	181
3	151	181
4	233	181
5	336	181
6	413	181
7	459	181
8	463	181
9	466	181
0	466	181

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64))))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))
(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal -12/29 binary64)
#s(approx (/ 144/841 (- (* 3 x) -12/29)) #s(literal 12/29 binary64))
#s(literal 12/29 binary64)
y
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))
(*.f64 #s(literal -48/841 binary64) y)
#s(literal -48/841 binary64)
y
(+.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)

Outputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
(.f64 y #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (.f64 x x)) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))))
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64))))
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (.f64 x x)) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64))))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))
(-.f64 (.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (.f64 x x)) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))
(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(.f64 (/.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) (*.f64 x x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal -12/29 binary64)
#s(approx (/ 144/841 (- (* 3 x) -12/29)) #s(literal 12/29 binary64))
#s(literal 12/29 binary64)
y
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 #s(literal 4/29 binary64) x))
#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))
(*.f64 #s(literal -48/841 binary64) y)
#s(literal -48/841 binary64)
y
(+.f64 x #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) x)
x
#s(literal 4/29 binary64)

localize122.0ms (2.3%)

Memory

3.4MiB live, 238.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 x #s(literal 4/29 binary64))
accuracy	0.203125	(*.f64 #s(literal -48/841 binary64) y)
accuracy	8.110306531151425	(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
accuracy	34.215646090322174	#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))
accuracy	0.0	(*.f64 y #s(literal 3 binary64))
accuracy	0.2578125	(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
accuracy	33.94998444367762	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0.12109375	(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
accuracy	0.248378759768442	(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
accuracy	0.26171875	(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))
accuracy	33.600883700212144	#s(approx (/ 144/841 (- (* 3 x) -12/29)) #s(literal 12/29 binary64))

Samples

56.0ms	206×	0	valid
31.0ms	22×	2	valid
12.0ms	28×	1	valid

Compiler

Compiled 312 to 79 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

const: 23.0ms (27.9% of total)

ival-mult: 22.0ms (26.7% of total)

ival-add: 18.0ms (21.8% of total)

ival-div: 8.0ms (9.7% of total)

ival-sub: 7.0ms (8.5% of total)

adjust: 4.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

13 → 55

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64))))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))
(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 y #s(literal 3 binary64))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))
(*.f64 #s(literal -48/841 binary64) y)
(+.f64 x #s(literal 4/29 binary64))
#s(approx (/ 144/841 (- (* 3 x) -12/29)) #s(literal 12/29 binary64))
(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))

Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(* 87/4 (pow x 2))
(* (pow x 2) (+ 87/4 (* -2523/16 x)))
(* (pow x 2) (+ 87/4 (* x (- (* 73167/64 x) 2523/16))))
(* (pow x 2) (+ 87/4 (* x (- (* x (+ 73167/64 (* -2121843/256 x))) 2523/16))))
-4/29
(- x 4/29)
(* -48/841 y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
4/29
(+ 4/29 x)
12/29
(+ 12/29 (* -3 x))
(+ 12/29 (* x (- (* 87/4 x) 3)))
(+ 12/29 (* x (- (* x (+ 87/4 (* -2523/16 x))) 3)))
(* 29/12 x)
(* x (+ 29/12 (* -841/48 x)))
(* x (+ 29/12 (* x (- (* 24389/192 x) 841/48))))
(* x (+ 29/12 (* x (- (* x (+ 24389/192 (* -707281/768 x))) 841/48))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (* 12/29 (/ 1 x))))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (+ (* 12/29 (/ 1 x)) (* 192/24389 (/ 1 (pow x 3))))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* (pow x 2) y))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* x (+ 1 (* 4/29 (/ 1 x))))
(/ 48/841 x)
(/ (- 48/841 (* 192/24389 (/ 1 x))) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (* 192/24389 (/ 1 x))) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3))))) x)
1/3
(- 1/3 (* 4/87 (/ 1 x)))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (* 4/87 (/ 1 x)))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* 48/841 (/ 1 x)) 12/29) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x)) 12/29) x)) 3)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x))
(* -1 (/ (- (* -1 (/ (- (* 768/707281 (/ 1 x)) 192/24389) x)) 48/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3072/20511149 (/ 1 x)) 768/707281) x)) 192/24389) x)) 48/841) x))
(+ 1/3 (* -1 (/ (- 4/87 (* 16/2523 (/ 1 x))) x)))
(+ 1/3 (* -1 (/ (+ 4/87 (* -1 (/ (- 16/2523 (* 64/73167 (/ 1 x))) x))) x)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (* y (- (pow x 2) 16/841)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ 144/841 (- (* 3 x) -12/29)) (/ x (- (* 3 x) -12/29)))
2.0ms	y	@	-inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ 144/841 (- (* 3 x) -12/29)) (/ x (- (* 3 x) -12/29)))
1.0ms	x	@	inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ 144/841 (- (* 3 x) -12/29)) (/ x (- (* 3 x) -12/29)))
1.0ms	x	@	-inf	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ 144/841 (- (* 3 x) -12/29)) (/ x (- (* 3 x) -12/29)))
1.0ms	y	@	0	((* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (- (* (* 9 x) (/ x (- (* 3 x) -12/29))) (/ 144/841 (- (* 3 x) -12/29))) (* (* 9 x) (/ x (- (* 3 x) -12/29))) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ x 4/29) (/ 144/841 (- (* 3 x) -12/29)) (/ x (- (* 3 x) -12/29)))

simplify181.0ms (3.4%)

Memory

-35.2MiB live, 168.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	461
1	588	445
2	1431	431
3	4716	428
0	8236	409

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(* 87/4 (pow x 2))
(* (pow x 2) (+ 87/4 (* -2523/16 x)))
(* (pow x 2) (+ 87/4 (* x (- (* 73167/64 x) 2523/16))))
(* (pow x 2) (+ 87/4 (* x (- (* x (+ 73167/64 (* -2121843/256 x))) 2523/16))))
-4/29
(- x 4/29)
(* -48/841 y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
4/29
(+ 4/29 x)
12/29
(+ 12/29 (* -3 x))
(+ 12/29 (* x (- (* 87/4 x) 3)))
(+ 12/29 (* x (- (* x (+ 87/4 (* -2523/16 x))) 3)))
(* 29/12 x)
(* x (+ 29/12 (* -841/48 x)))
(* x (+ 29/12 (* x (- (* 24389/192 x) 841/48))))
(* x (+ 29/12 (* x (- (* x (+ 24389/192 (* -707281/768 x))) 841/48))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (* 12/29 (/ 1 x))))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (+ (* 12/29 (/ 1 x)) (* 192/24389 (/ 1 (pow x 3))))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 (* (pow x 2) y))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(* x (+ 1 (* 4/29 (/ 1 x))))
(/ 48/841 x)
(/ (- 48/841 (* 192/24389 (/ 1 x))) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (* 192/24389 (/ 1 x))) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3))))) x)
1/3
(- 1/3 (* 4/87 (/ 1 x)))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (* 4/87 (/ 1 x)))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* 48/841 (/ 1 x)) 12/29) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x)) 12/29) x)) 3)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x))
(* -1 (/ (- (* -1 (/ (- (* 768/707281 (/ 1 x)) 192/24389) x)) 48/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3072/20511149 (/ 1 x)) 768/707281) x)) 192/24389) x)) 48/841) x))
(+ 1/3 (* -1 (/ (- 4/87 (* 16/2523 (/ 1 x))) x)))
(+ 1/3 (* -1 (/ (+ 4/87 (* -1 (/ (- 16/2523 (* 64/73167 (/ 1 x))) x))) x)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (* y (- (pow x 2) 16/841)))

Outputs
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 87/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 87/4 binary64))
(* (pow x 2) (+ 87/4 (* -2523/16 x)))
(.f64 (.f64 (fma.f64 #s(literal -2523/16 binary64) x #s(literal 87/4 binary64)) x) x)
(* (pow x 2) (+ 87/4 (* x (- (* 73167/64 x) 2523/16))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 73167/64 binary64) x) #s(literal 2523/16 binary64)) x #s(literal 87/4 binary64)) x) x)
(* (pow x 2) (+ 87/4 (* x (- (* x (+ 73167/64 (* -2121843/256 x))) 2523/16))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2121843/256 binary64) x #s(literal 73167/64 binary64)) x) #s(literal 2523/16 binary64)) x #s(literal 87/4 binary64)) x) x)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* -48/841 y)
(*.f64 #s(literal -48/841 binary64) y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
(.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) y)
4/29
#s(literal 4/29 binary64)
(+ 4/29 x)
(-.f64 x #s(literal -4/29 binary64))
12/29
#s(literal 12/29 binary64)
(+ 12/29 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64))
(+ 12/29 (* x (- (* 87/4 x) 3)))
(fma.f64 (-.f64 (*.f64 #s(literal 87/4 binary64) x) #s(literal 3 binary64)) x #s(literal 12/29 binary64))
(+ 12/29 (* x (- (* x (+ 87/4 (* -2523/16 x))) 3)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2523/16 binary64) x #s(literal 87/4 binary64)) x) #s(literal 3 binary64)) x #s(literal 12/29 binary64))
(* 29/12 x)
(*.f64 #s(literal 29/12 binary64) x)
(* x (+ 29/12 (* -841/48 x)))
(*.f64 (fma.f64 #s(literal -841/48 binary64) x #s(literal 29/12 binary64)) x)
(* x (+ 29/12 (* x (- (* 24389/192 x) 841/48))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 24389/192 binary64) x) #s(literal 841/48 binary64)) x #s(literal 29/12 binary64)) x)
(* x (+ 29/12 (* x (- (* x (+ 24389/192 (* -707281/768 x))) 841/48))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal 24389/192 binary64)) x) #s(literal 841/48 binary64)) x #s(literal 29/12 binary64)) x)
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (* 12/29 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 48/841 binary64) (*.f64 x x)) #s(literal 3 binary64)) x #s(literal -12/29 binary64))
(* x (- (+ 3 (/ 48/841 (pow x 2))) (+ (* 12/29 (/ 1 x)) (* 192/24389 (/ 1 (pow x 3))))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 192/24389 binary64) x)) x) #s(literal 12/29 binary64)) x) #s(literal 3 binary64)) x)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* (pow x 2) y))
(.f64 (.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* (pow x 2) (+ (* -48/841 (/ y (pow x 2))) (* 3 y)))
(.f64 (.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal -48/841 binary64) x) x) #s(literal -3 binary64))) x) x)
(* x (+ 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal -4/29 binary64))
(/ 48/841 x)
(/.f64 #s(literal 48/841 binary64) x)
(/ (- 48/841 (* 192/24389 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 192/24389 binary64) x)) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (* 192/24389 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 768/707281 binary64) x) #s(literal 192/24389 binary64)) x) #s(literal 48/841 binary64)) x)
(/ (- (+ 48/841 (/ 768/707281 (pow x 2))) (+ (* 192/24389 (/ 1 x)) (* 3072/20511149 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 768/707281 binary64) x) #s(literal 192/24389 binary64)) x) #s(literal 48/841 binary64)) (/.f64 #s(literal 3072/20511149 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 4/87 (/ 1 x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (* 4/87 (/ 1 x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x))
(- (+ 1/3 (/ 16/2523 (pow x 2))) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/87 binary64) (/.f64 (-.f64 #s(literal 16/2523 binary64) (/.f64 #s(literal 64/73167 binary64) x)) x)) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (- (* 48/841 (/ 1 x)) 12/29) x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 48/841 binary64) x) #s(literal 12/29 binary64)) (neg.f64 x)) #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x)) 12/29) x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 192/24389 binary64) x)) x) #s(literal 12/29 binary64))) x) #s(literal 3 binary64)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 1 binary64)))
(* -1 (/ (- (* 192/24389 (/ 1 x)) 48/841) x))
(/.f64 (-.f64 #s(literal 48/841 binary64) (/.f64 #s(literal 192/24389 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 768/707281 (/ 1 x)) 192/24389) x)) 48/841) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 768/707281 binary64) x) #s(literal -192/24389 binary64)) #s(literal -48/841 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3072/20511149 (/ 1 x)) 768/707281) x)) 192/24389) x)) 48/841) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3072/20511149 binary64) x) #s(literal 768/707281 binary64)) (neg.f64 x)) #s(literal 192/24389 binary64)) (neg.f64 x)) #s(literal 48/841 binary64)) (neg.f64 x))
(+ 1/3 (* -1 (/ (- 4/87 (* 16/2523 (/ 1 x))) x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x))
(+ 1/3 (* -1 (/ (+ 4/87 (* -1 (/ (- 16/2523 (* 64/73167 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/87 binary64) (/.f64 (-.f64 #s(literal 16/2523 binary64) (/.f64 #s(literal 64/73167 binary64) x)) x)) x))
(* 3 (* y (- x 4/29)))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(.f64 (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))

rewrite242.0ms (4.5%)

Memory

15.4MiB live, 245.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	157
0	51	157
1	137	157
2	727	157
3	7717	157
0	8566	157

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

13 → 304

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64))))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))
(.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 y #s(literal 3 binary64))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))
(*.f64 #s(literal -48/841 binary64) y)
(+.f64 x #s(literal 4/29 binary64))
#s(approx (/ 144/841 (- (* 3 x) -12/29)) #s(literal 12/29 binary64))
(/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))

Outputs
(.f64 y #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 9 binary64)) x) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 9 binary64)) x) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
#s(approx (* (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 9 binary64)) x) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (pow.f64 #s(approx (/ 144/841 (- (* 3 x) -12/29)) #s(literal 12/29 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) x) #s(literal 3 binary64)) #s(literal 729 binary64) (pow.f64 #s(approx (/ 144/841 (- (* 3 x) -12/29)) #s(literal 12/29 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) x) #s(literal 2 binary64)) #s(literal 81 binary64) (.f64 #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)) (-.f64 #s(approx (/ 144/841 (- (* 3 x) -12/29)) #s(literal 12/29 binary64)) (.f64 (.f64 (/.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))) #s(literal 9 binary64)) x)))))
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(fma.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 144/841 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 (.f64 #s(literal -36/29 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(fma.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(fma.f64 #s(literal -12/29 binary64) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(fma.f64 (.f64 #s(literal 3 binary64) x) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (.f64 #s(literal -12/29 binary64) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(+.f64 (.f64 #s(literal -12/29 binary64) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))) (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))) (.f64 #s(literal -12/29 binary64) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 144/841 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))) (.f64 (.f64 #s(literal -36/29 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))) (.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) #s(literal -12/29 binary64)) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (*.f64 #s(literal 3 binary64) x)))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) (.f64 #s(literal 3 binary64) x)) (.f64 (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 144/841 binary64))) #s(literal -12/29 binary64)))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 144/841 binary64))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 #s(literal -36/29 binary64) x)))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64))) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))))

eval49.0ms (0.9%)

Memory: 19.5MiB live, 104.2MiB allocated
Compiler: Compiled 16 399 to 1 608 computations (90.2% saved)

prune12.0ms (0.2%)

Memory

-6.2MiB live, 32.0MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	346	1	347
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	347	10	357

Accuracy

100.0%

Counts

357 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) #s(approx (+ x 4/29) #s(literal 4/29 binary64)))
✓	99.6%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	47.0%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
✓	46.9%	(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
✓	99.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
✓	97.7%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
✓	54.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	47.1%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	54.6%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
✓	54.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))

Compiler

Compiled 361 to 211 computations (41.6% saved)

regimes26.0ms (0.5%)

Memory

16.5MiB live, 54.6MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) #s(approx (+ x 4/29) #s(literal 4/29 binary64)))
(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) #s(approx (/ 144/841 (- ( 3 x) -12/29)) #s(literal 12/29 binary64)))) y)
(.f64 #s(approx ( (- x (/ 16 116)) 3) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))) (/.f64 #s(literal 144/841 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))) y)

Outputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)

Calls

5 calls:

7.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
5.0ms	y
5.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	x
4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.8%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes15.0ms (0.3%)

Memory

2.7MiB live, 40.9MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))

Outputs

#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))

(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))

Calls

5 calls:

4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
2.0ms	y
2.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
2.0ms	x
2.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.8%	3	`x`
60.2%	3	`y`
83.8%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.8%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.8%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes9.0ms (0.2%)

Memory

-15.4MiB live, 29.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Outputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Calls

5 calls:

4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
1.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
1.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
47.1%	1	`y`
47.1%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
47.1%	1	`x`
47.1%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
47.1%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793103448269295	691973237.941239
0.0ms	-0.3230454016809019	-0.13797068533175472

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify36.0ms (0.7%)

Memory

-12.3MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	60
1	36	60
2	52	60
3	61	60
4	63	60

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 #s(approx (* (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)

(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x))))

(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Outputs
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (or (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (not (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y #s(literal 3 binary64)) x)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

soundness807.0ms (15%)

Memory

17.9MiB live, 301.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	101
0	35	101
1	78	101
2	306	101
3	2200	101
0	9007	101
0	42	82
1	107	74
2	286	74
3	638	74
4	1679	74
5	2514	74
6	3672	74
7	4630	74
8	6201	74
0	8078	68

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 100 to 62 computations (38% saved)

preprocess34.0ms (0.6%)

Memory: -9.3MiB live, 67.2MiB allocated
Remove: (negabs y)
Compiler: Compiled 196 to 118 computations (39.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	117
0	35	117
1	50	117
2	65	117
3	72	117
4	81	117
5	93	117
6	121	117
7	148	117
8	173	117
9	203	117
10	240	117
11	277	117
12	307	117
0	307	117

Iter	Nodes	Cost
0	39	181
0	51	181
1	73	181
2	109	181
3	151	181
4	233	181
5	336	181
6	413	181
7	459	181
8	463	181
9	466	181
0	466	181

Iter	Nodes	Cost
0	25	117
0	35	117
1	50	117
2	65	117
3	72	117
4	81	117
5	93	117
6	121	117
7	148	117
8	173	117
9	203	117
10	240	117
11	277	117
12	307	117
0	307	117

Iter	Nodes	Cost
0	39	181
0	51	181
1	73	181
2	109	181
3	151	181
4	233	181
5	336	181
6	413	181
7	459	181
8	463	181
9	466	181
0	466	181

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (23.2%)

explain103.0ms (1.9%)

preprocess16.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize61.0ms (1.1%)

series4.0ms (0.1%)

simplify108.0ms (2%)

rewrite206.0ms (3.8%)

eval83.0ms (1.5%)

prune7.0ms (0.1%)

simplify10.0ms (0.2%)

localize89.0ms (1.7%)

series9.0ms (0.2%)

simplify129.0ms (2.4%)

rewrite301.0ms (5.6%)

eval40.0ms (0.7%)

prune27.0ms (0.5%)

simplify31.0ms (0.6%)

localize180.0ms (3.3%)

series19.0ms (0.3%)

simplify140.0ms (2.6%)

rewrite677.0ms (12.6%)

eval312.0ms (5.8%)

prune20.0ms (0.4%)

simplify15.0ms (0.3%)

localize122.0ms (2.3%)

series10.0ms (0.2%)

simplify181.0ms (3.4%)

rewrite242.0ms (4.5%)

eval49.0ms (0.9%)

prune12.0ms (0.2%)

regimes26.0ms (0.5%)

regimes15.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch1.0ms (0%)

simplify36.0ms (0.7%)

soundness807.0ms (15%)

preprocess34.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	117
0	35	117
1	50	117
2	65	117
3	72	117
4	81	117
5	93	117
6	121	117
7	148	117
8	173	117
9	203	117
10	240	117
11	277	117
12	307	117
0	307	117

Iter	Nodes	Cost
0	39	181
0	51	181
1	73	181
2	109	181
3	151	181
4	233	181
5	336	181
6	413	181
7	459	181
8	463	181
9	466	181
0	466	181