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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

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)

sample1.1s (28%)

Memory

44.1MiB live, 979.2MiB allocated; 201ms collecting garbage

Samples

615.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-mult: 118.0ms (42.9% of total)

ival-div: 93.0ms (33.8% of total)

ival-sub: 43.0ms (15.6% of total)

exact: 10.0ms (3.6% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain84.0ms (2.1%)

Memory

-12.7MiB live, 127.2MiB allocated; 18ms collecting garbage

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

27.0ms	486×	0	valid
2.0ms	16×	1	valid
2.0ms	10×	2	valid

Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (39.6% of total)

ival-div: 4.0ms (26.4% of total)

ival-sub: 3.0ms (19.8% of total)

adjust: 1.0ms (6.6% of total)

exact: 1.0ms (6.6% of total)

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

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

preprocess17.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.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)

simplify4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

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

localize30.0ms (0.7%)

Memory

-17.2MiB live, 31.8MiB allocated; 15ms collecting garbage

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	0.0625	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy	0.08984375	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

22.0ms	243×	0	valid
1.0ms	8×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 11.0ms (67.3% of total)

ival-sub: 3.0ms (18.4% of total)

ival-div: 2.0ms (12.2% 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

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

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)))

simplify183.0ms (4.5%)

Memory

-6.0MiB live, 84.6MiB allocated; 11ms collecting garbage

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)

rewrite233.0ms (5.8%)

Memory

-27.2MiB live, 132.0MiB allocated; 109ms collecting garbage

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)))))

eval29.0ms (0.7%)

Memory: 45.5MiB live, 45.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 8 401 to 1 021 computations (87.8% saved)

prune19.0ms (0.5%)

Memory

-27.8MiB live, 17.7MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	257	8	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	258	8	266

Accuracy

100.0%

Counts

266 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.7%	(/.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))
▶	99.9%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
	99.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) y)
▶	51.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
▶	50.3%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 196 to 180 computations (8.2% saved)

simplify22.0ms (0.5%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 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	(*.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	#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	28	136
0	42	136
1	62	136
2	101	136
3	143	136
4	176	136
5	187	136
6	206	136
7	222	136
8	223	136
9	239	136
10	312	136
11	413	136
12	480	136
13	510	136
14	549	136
15	586	136
16	627	136
0	627	136

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

localize99.0ms (2.5%)

Memory

-15.8MiB live, 81.3MiB allocated; 17ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (*.f64 x x) #s(literal 16/841 binary64))
accuracy	0.21484375	(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))
accuracy	2.9483819773927875	(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) y)
accuracy	8.252227279489595	(/.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	0.2421875	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.08984375	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
accuracy	31.061384196211517	#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
accuracy	0.08984375	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy	32.0203741126258	#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	0.08984375	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)

Samples

73.0ms	243×	0	valid
3.0ms	8×	1	valid
2.0ms	5×	2	valid

Compiler

Compiled 129 to 25 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-sub: 33.0ms (52.6% of total)

ival-mult: 11.0ms (17.5% of total)

const: 9.0ms (14.4% of total)

ival-div: 4.0ms (6.4% of total)

ival-add: 2.0ms (3.2% of total)

exact: 2.0ms (3.2% of total)

adjust: 1.0ms (1.6% of total)

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

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

series13.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

15 → 32

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

Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(* 3 x)
-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)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (- 3 (* 12/29 (/ 1 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 (* 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)))
(* 3 y)
(* 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
3.0ms	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) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841))
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) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841))
2.0ms	y	@	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) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841))
2.0ms	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) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841))
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) (* (- x (/ 16 116)) 3) (* 3 x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* (- (* x x) 16/841) y) (- (* x x) 16/841))

simplify87.0ms (2.2%)

Memory

3.8MiB live, 50.3MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	184
1	190	170
2	540	170
3	1582	170
4	4809	170
5	7967	170
0	8020	155

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-12/29
(- (* 3 x) 12/29)
(* 3 x)
-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)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (- 3 (* 12/29 (/ 1 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 (* 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)))
(* 3 y)
(* 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)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) 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 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))
(* -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)
(fma.f64 x x #s(literal -16/841 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)
(* 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))
(* 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 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 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)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 4/29 binary64) x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64)))
(* 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)

rewrite177.0ms (4.4%)

Memory

1.8MiB live, 92.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	112
0	42	106
1	110	106
2	552	106
3	5371	106
0	8894	106

Stop Event

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

Counts

15 → 406

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

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 (.f64 #s(literal 9 binary64) (.f64 x x)) #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 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #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 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) #s(literal 2 binary64)))) (-.f64 (.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)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -36/29 binary64) x #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 (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 144/841 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 144/841 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))
(/.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))) (fma.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 (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))) (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64)))
(/.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))) (+.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 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 27 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))) (+.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 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 144/841 binary64)))) (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 (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 #s(literal 9 binary64) (*.f64 x x) #s(literal 144/841 binary64))) (neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (-.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))) (pow.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64)) #s(literal 2 binary64)))
(/.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))) (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 9 binary64) (*.f64 x x) #s(literal 144/841 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 20736/707281 binary64)) (.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 (-.f64 (.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2985984/594823321 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1296/841 binary64) (.f64 x x) #s(literal 20736/707281 binary64))) (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2985984/594823321 binary64)) (.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 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -5159780352/14507145975869 binary64)) (.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (.f64 #s(literal -46656/24389 binary64) (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))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 144/841 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #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 (-.f64 (.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 (fma.f64 #s(literal -27 binary64) (pow.f64 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)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.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))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 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))))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 144/841 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64)))))
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eval112.0ms (2.8%)

Memory: -25.2MiB live, 70.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 7 996 to 1 168 computations (85.4% saved)

prune8.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	324	4	328
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	327	9	336

Accuracy

100.0%

Counts

336 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.7%	(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
▶	49.7%	(/.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)))
▶	99.6%	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
▶	50.1%	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	99.9%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
✓	51.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	50.3%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 175 to 155 computations (11.4% saved)

simplify41.0ms (1%)

Memory

-31.4MiB live, 14.9MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	163
0	49	163
1	77	163
2	124	163
3	163	163
4	198	163
5	224	163
6	249	163
7	266	163
8	371	163
9	561	163
10	751	163
11	863	163
12	865	163
13	868	163
14	872	163
15	876	163
0	876	163

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize125.0ms (3.1%)

Memory

-5.4MiB live, 90.1MiB allocated; 19ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.21484375	(.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) y) #s(literal 3 binary64))
accuracy	2.9483819773927875	(.f64 #s(approx (- ( x x) 16/841) (*.f64 x x)) y)
accuracy	8.252227279489595	(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
accuracy	31.27246869203997	#s(approx (- (* x x) 16/841) (*.f64 x x))
accuracy	0.00390625	(+.f64 x #s(literal 4/29 binary64))
accuracy	0.19921875	(*.f64 #s(literal -48/841 binary64) y)
accuracy	8.252227279489595	(/.f64 #s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y)) (+.f64 x #s(literal 4/29 binary64)))
accuracy	32.279920368742886	#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	0.2421875	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	32.00386662528739	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.203125	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	30.822305507596564	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.0546875	(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
accuracy	0.26953125	(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))

Samples

60.0ms

256×

valid

Compiler

Compiled 133 to 29 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 16.0ms (35.5% of total)

const: 11.0ms (24.4% of total)

ival-add: 9.0ms (20% of total)

ival-div: 4.0ms (8.9% of total)

ival-sub: 3.0ms (6.7% 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)

series13.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

17 → 36

Calls

Call 1

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

Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(* 3 (* x y))
(* x y)
(* -48/841 y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
4/29
(+ 4/29 x)
(* -16/841 y)
(+ (* -16/841 y) (* (pow x 2) y))
-16/841
(- (pow x 2) 16/841)
(* x (+ (* -12/29 (/ y x)) (* 3 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)))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* (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 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* 3 y)
(* 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
3.0ms	y	@	-inf	((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ 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))
2.0ms	y	@	inf	((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ 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))
2.0ms	x	@	-inf	((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ 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))
2.0ms	y	@	0	((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ 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))
2.0ms	x	@	inf	((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (* (* (- x (/ 16 116)) 3) y) (* (* y x) 3) (* y x) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ (* (* (- (* x x) 16/841) y) 3) (+ x 4/29)) (* (* (- (* x x) 16/841) y) 3) (* -48/841 y) (+ 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))

simplify170.0ms (4.2%)

Memory

10.9MiB live, 101.7MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	191
1	228	181
2	687	181
3	2262	181
4	6342	181
0	8024	169

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
-4/29
(- x 4/29)
(* 3 (* x y))
(* x y)
(* -48/841 y)
(+ (* -48/841 y) (* 3 (* (pow x 2) y)))
4/29
(+ 4/29 x)
(* -16/841 y)
(+ (* -16/841 y) (* (pow x 2) y))
-16/841
(- (pow x 2) 16/841)
(* x (+ (* -12/29 (/ y x)) (* 3 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)))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* (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 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* 3 y)
(* 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)
(* -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))
(* 3 (* x y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(* x y)
(*.f64 y x)
(* -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))
(* -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)
(fma.f64 x x #s(literal -16/841 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 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))
(* 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 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) y)
(* x (+ 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal -4/29 binary64))
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(* (pow x 2) (+ y (* -16/841 (/ y (pow x 2)))))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -16/841 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 (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -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 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(.f64 (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64))) (.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)

rewrite198.0ms (4.9%)

Memory

4.4MiB live, 167.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	139
0	49	139
1	113	139
2	469	139
3	4388	139
0	9490	139

Stop Event

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

Counts

17 → 515

Calls

Call 1

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

Outputs
(.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 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 x (-.f64 x #s(literal 4/29 binary64))) #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 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 #s(literal 4/29 binary64) x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 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 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 #s(literal 3 binary64) y)) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 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 (-.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 (-.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)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(.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 (-.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) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)))
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(.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 16/841 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)) y))
(.f64 (/.f64 (.f64 #s(literal 3 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 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal 4/29 binary64)))
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(.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 (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
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(.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y))
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(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)))
(.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)) y))
(.f64 (.f64 #s(literal 3 binary64) y) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) y)
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 (-.f64 x #s(literal 4/29 binary64)) y))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(.f64 y (.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 #s(literal 3 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)))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) (-.f64 #s(literal 4/29 binary64) x))
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(/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64)) y) #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) y) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 4/29 binary64) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))
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(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 4/29 binary64)))
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(.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) y) (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)))
(.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) (.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)) y))
(.f64 (.f64 #s(literal 3 binary64) y) (/.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) x)))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) y) (/.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) (/.f64 y (-.f64 #s(literal 4/29 binary64) x))))
(.f64 y (.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal -4/29 binary64) x)) #s(approx (- (* x x) 16/841) (*.f64 x x))))
(/.f64 (/.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 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)))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(/.f64 (/.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) (-.f64 #s(literal 4/29 binary64) x))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (-.f64 x #s(literal 4/29 binary64))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) y) (/.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) y) (/.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (+.f64 #s(literal -4/29 binary64) x))
(/.f64 (.f64 (.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) y) (/.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 (.f64 (.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) y) (/.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(/.f64 (.f64 (.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) y) (/.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (.f64 (fma.f64 (.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 (.f64 (.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) y) (/.f64 #s(literal 3 binary64) (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (-.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal 4/29 binary64) x))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 x (-.f64 x #s(literal 4/29 binary64))) #s(literal 16/841 binary64))))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 x (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (neg.f64 (-.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 (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (neg.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)))) (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (+.f64 #s(literal -4/29 binary64) x)))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 256/707281 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x x #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x))))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (-.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 (-.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 16/841 binary64)) (.f64 (fma.f64 (.f64 #s(literal 16/841 binary64) x) x (+.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 4/29 binary64) x))))
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (-.f64 (.f64 x x) #s(literal 16/841 binary64))) (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 #s(literal 4/29 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -4/29 binary64) x))
(/.f64 (.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 4/29 binary64) x))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (*.f64 x x))) (-.f64 #s(literal 4/29 binary64) x)))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))
(fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x x) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x x) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- ( x x) 16/841) (*.f64 x x))) (+.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))
(.f64 (neg.f64 (.f64 (neg.f64 y) #s(approx (- (* x x) 16/841) (*.f64 x x)))) #s(literal 3 binary64))
(.f64 (neg.f64 (neg.f64 #s(approx (- ( x x) 16/841) (.f64 x x)))) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) #s(literal 3 binary64)) y)
(.f64 (.f64 (neg.f64 y) #s(approx (- (* x x) 16/841) (*.f64 x x))) #s(literal -3 binary64))
(.f64 (neg.f64 #s(approx (- ( x x) 16/841) (.f64 x x))) (.f64 #s(literal -3 binary64) y))
(.f64 #s(literal -3 binary64) (.f64 (neg.f64 y) #s(approx (- (* x x) 16/841) (*.f64 x x))))
(.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) y) #s(literal 3 binary64))
(.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) (neg.f64 (.f64 #s(literal -3 binary64) y)))
(.f64 #s(approx (- ( x x) 16/841) (.f64 x x)) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- (* x x) 16/841) (*.f64 x x)))
(.f64 #s(literal 3 binary64) (neg.f64 (.f64 (neg.f64 y) #s(approx (- (* x x) 16/841) (*.f64 x x)))))
(.f64 #s(literal 3 binary64) (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) y))
(.f64 y (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) #s(literal 3 binary64)))
(neg.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(approx (- (* x x) 16/841) (*.f64 x x))))
(.f64 #s(approx (- ( x x) 16/841) (*.f64 x x)) y)
(.f64 y #s(approx (- ( x x) 16/841) (*.f64 x x)))
#s(approx (- (* x x) 16/841) (*.f64 x x))

eval139.0ms (3.4%)

Memory: -1.3MiB live, 89.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 23 065 to 1 893 computations (91.8% saved)

prune42.0ms (1%)

Memory

-13.9MiB live, 38.9MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	709	3	712
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	711	10	721

Accuracy

100.0%

Counts

721 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.7%	(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
▶	50.0%	(/.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)))
▶	50.1%	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	50.1%	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	99.9%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
✓	51.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	50.3%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
▶	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 129 to 116 computations (10.1% saved)

simplify13.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	91
0	34	91
1	55	91
2	93	91
3	117	91
4	141	91
5	170	91
6	195	91
7	212	91
8	270	91
9	352	91
10	429	91
11	486	91
0	486	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (2.1%)

Memory

3.9MiB live, 88.9MiB allocated; 13ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(*.f64 #s(literal -48/841 binary64) y)
accuracy	8.252227279489595	(/.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)))
accuracy	32.043380393326615	#s(approx (+ x 4/29) #s(literal 4/29 binary64))
accuracy	32.279920368742886	#s(approx (* (* (- (* x x) 16/841) y) 3) (*.f64 #s(literal -48/841 binary64) y))
accuracy	0.0546875	(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
accuracy	0.26953125	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
accuracy	32.00386662528739	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.19921875	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	30.822305507596564	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))

Samples

64.0ms

256×

valid

Compiler

Compiled 71 to 27 computations (62% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 21.0ms (41.1% of total)

ival-mult: 14.0ms (27.4% of total)

const: 11.0ms (21.5% of total)

ival-sub: 3.0ms (5.9% of total)

ival-add: 1.0ms (2% 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)

series9.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

10 → 27

Calls

Call 1

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

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

Calls

6 calls:

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

simplify189.0ms (4.7%)

Memory

-21.4MiB live, 84.0MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	150
1	192	138
2	575	138
3	1796	138
4	4537	138
5	7376	138
0	8293	132

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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)
(* 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)
4/29
#s(literal 4/29 binary64)
(+ 4/29 x)
(-.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 y)
(*.f64 y x)
(* 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))
(* 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 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal -48/841 binary64)) y)
(* 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 (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -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)
(* 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 (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64))) y) (-.f64 (*.f64 x x) #s(literal 16/841 binary64)))
(* 3 (* y (- (pow x 2) 16/841)))
(.f64 (.f64 (-.f64 (*.f64 x x) #s(literal 16/841 binary64)) y) #s(literal 3 binary64))

rewrite123.0ms (3%)

Memory

15.5MiB live, 149.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	82
0	34	82
1	89	82
2	395	82
3	3752	82
0	9136	82

Stop Event

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

Counts

10 → 27

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 646 to 123 computations (81% saved)

prune71.0ms (1.8%)

Memory

-22.6MiB live, 35.2MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	41	10	51

Accuracy

100.0%

Counts

51 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.7%	(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 x #s(literal 4/29 binary64)))
✓	50.0%	(/.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)))
✓	50.1%	(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	50.1%	(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	99.9%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
✓	51.8%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	50.3%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
✓	51.7%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 329 to 192 computations (41.6% saved)

regimes31.0ms (0.8%)

Memory

-11.0MiB live, 34.2MiB allocated; 4ms collecting garbage

Counts

16 → 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 #s(literal 3 binary64) y) 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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #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 (-.f64 x #s(literal 4/29 binary64)) y) #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 #s(approx ( (- x (/ 16 116)) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12/29 binary64) x) #s(literal 3 binary64)))) y)
(/.f64 (.f64 (.f64 #s(approx (- (* x x) 16/841) (*.f64 x x)) 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)))

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

Calls

5 calls:

13.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms	y
4.0ms	x
4.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
4.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
99.9%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.9%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes21.0ms (0.5%)

Memory

2.3MiB live, 47.6MiB allocated; 4ms collecting garbage

Counts

12 → 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 #s(literal 3 binary64) y) 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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #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 (-.f64 x #s(literal 4/29 binary64)) y) #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)))

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

Calls

5 calls:

6.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
4.0ms	y
3.0ms	x
3.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
99.9%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.9%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes14.0ms (0.3%)

Memory

-12.1MiB live, 31.9MiB allocated; 5ms collecting garbage

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 #s(literal 3 binary64) y) 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 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))

Outputs

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

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

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

Calls

5 calls:

5.0ms	(-.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
97.7%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
97.7%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
79.7%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.7%	3	`x`
56.6%	3	`y`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

3 → 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 #s(literal 3 binary64) y) x))

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

Outputs

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

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
97.7%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
97.7%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.7%	3	`x`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

2 → 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 #s(literal 3 binary64) y) x))

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.6%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
97.6%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.6%	3	`x`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
50.3%	1	`y`
50.3%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
50.3%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`
50.3%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
50.3%	1	`x`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch59.0ms (1.5%)

Memory

-29.0MiB live, 24.3MiB allocated; 15ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.363602283903564e-7	0.2212771668672828
43.0ms	-3146.3631811118153	-0.00023627603994906353

Samples

13.0ms

288×

valid

Compiler

Compiled 444 to 464 computations (-4.5% saved)

Precisions

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

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

ival-div: 2.0ms (27.1% of total)

ival-sub: 1.0ms (13.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.363602283903564e-7	0.2212771668672828
1.0ms	-3146.3631811118153	-0.00023627603994906353

Compiler

Compiled 480 to 482 computations (-0.4% saved)

bsearch2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.363602283903564e-7	0.2212771668672828
1.0ms	-3146.3631811118153	-0.00023627603994906353

Compiler

Compiled 480 to 482 computations (-0.4% saved)

simplify13.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	121
1	50	121
2	66	121
3	75	121
4	77	121

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 #s(literal 3 binary64) x)) y) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Outputs
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(.f64 #s(approx ( (- x (/ 16 116)) 3) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) y)
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 #s(literal 3 binary64) x)) y) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)))
(if (or (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (not (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)))) (.f64 #s(approx ( (- x (/ 16 116)) 3) (.f64 #s(literal 3 binary64) x)) y) (.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))))
(if (or (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (not (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y))
(if (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (or (<=.f64 x #s(literal -607985949695017/4503599627370496 binary64)) (not (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) 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)

derivations335.0ms (8.3%)

Memory

-21.1MiB live, 301.8MiB allocated; 42ms collecting garbage

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
0	35	139
0	49	139
1	113	139
2	469	139
3	4388	139
0	9490	139

Stop Event

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

Compiler

Compiled 137 to 40 computations (70.8% saved)

preprocess73.0ms (1.8%)

Memory: 20.3MiB live, 116.0MiB allocated; 31ms collecting garbage
Remove: (negabs y)
Compiler: Compiled 342 to 148 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	28	136
0	42	136
1	62	136
2	101	136
3	143	136
4	176	136
5	187	136
6	206	136
7	222	136
8	223	136
9	239	136
10	312	136
11	413	136
12	480	136
13	510	136
14	549	136
15	586	136
16	627	136
0	627	136

Iter	Nodes	Cost
0	35	163
0	49	163
1	77	163
2	124	163
3	163	163
4	198	163
5	224	163
6	249	163
7	266	163
8	371	163
9	561	163
10	751	163
11	863	163
12	865	163
13	868	163
14	872	163
15	876	163
0	876	163

Iter	Nodes	Cost
0	28	91
0	34	91
1	55	91
2	93	91
3	117	91
4	141	91
5	170	91
6	195	91
7	212	91
8	270	91
9	352	91
10	429	91
11	486	91
0	486	91

Iter	Nodes	Cost
0	28	136
0	42	136
1	62	136
2	101	136
3	143	136
4	176	136
5	187	136
6	206	136
7	222	136
8	223	136
9	239	136
10	312	136
11	413	136
12	480	136
13	510	136
14	549	136
15	586	136
16	627	136
0	627	136

Iter	Nodes	Cost
0	35	163
0	49	163
1	77	163
2	124	163
3	163	163
4	198	163
5	224	163
6	249	163
7	266	163
8	371	163
9	561	163
10	751	163
11	863	163
12	865	163
13	868	163
14	872	163
15	876	163
0	876	163

Iter	Nodes	Cost
0	28	91
0	34	91
1	55	91
2	93	91
3	117	91
4	141	91
5	170	91
6	195	91
7	212	91
8	270	91
9	352	91
10	429	91
11	486	91
0	486	91

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (28%)

explain84.0ms (2.1%)

preprocess17.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize30.0ms (0.7%)

series4.0ms (0.1%)

simplify183.0ms (4.5%)

rewrite233.0ms (5.8%)

eval29.0ms (0.7%)

prune19.0ms (0.5%)

simplify22.0ms (0.5%)

localize99.0ms (2.5%)

series13.0ms (0.3%)

simplify87.0ms (2.2%)

rewrite177.0ms (4.4%)

eval112.0ms (2.8%)

prune8.0ms (0.2%)

simplify41.0ms (1%)

localize125.0ms (3.1%)

series13.0ms (0.3%)

simplify170.0ms (4.2%)

rewrite198.0ms (4.9%)

eval139.0ms (3.4%)

prune42.0ms (1%)

simplify13.0ms (0.3%)

localize84.0ms (2.1%)

series9.0ms (0.2%)

simplify189.0ms (4.7%)

rewrite123.0ms (3%)

eval4.0ms (0.1%)

prune71.0ms (1.8%)

regimes31.0ms (0.8%)

regimes21.0ms (0.5%)

regimes14.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch59.0ms (1.5%)

bsearch2.0ms (0.1%)

bsearch2.0ms (0.1%)

simplify13.0ms (0.3%)

derivations335.0ms (8.3%)

preprocess73.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	136
0	42	136
1	62	136
2	101	136
3	143	136
4	176	136
5	187	136
6	206	136
7	222	136
8	223	136
9	239	136
10	312	136
11	413	136
12	480	136
13	510	136
14	549	136
15	586	136
16	627	136
0	627	136

Iter	Nodes	Cost
0	35	163
0	49	163
1	77	163
2	124	163
3	163	163
4	198	163
5	224	163
6	249	163
7	266	163
8	371	163
9	561	163
10	751	163
11	863	163
12	865	163
13	868	163
14	872	163
15	876	163
0	876	163

Iter	Nodes	Cost
0	28	91
0	34	91
1	55	91
2	93	91
3	117	91
4	141	91
5	170	91
6	195	91
7	212	91
8	270	91
9	352	91
10	429	91
11	486	91
0	486	91