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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample759.0ms (13.6%)

Memory

34.1MiB live, 1 253.8MiB allocated

Samples

497.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-mult: 125.0ms (40.7% of total)

ival-div: 121.0ms (39.4% of total)

ival-sub: 39.0ms (12.7% of total)

exact: 11.0ms (3.6% of total)

ival-true: 7.0ms (2.3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain86.0ms (1.5%)

Memory

-21.2MiB live, 183.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms	486×	0	valid
2.0ms	12×	2	valid
2.0ms	14×	1	valid

Compiler

Compiled 100 to 40 computations (60% saved)

Precisions

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

ival-mult: 7.0ms (44.4% of total)

ival-div: 4.0ms (25.4% of total)

ival-sub: 3.0ms (19% of total)

exact: 1.0ms (6.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess52.0ms (0.9%)

Memory

8.5MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	56	37
2	160	35
3	542	35
4	1701	35
5	1968	35
6	2223	35
7	2360	35
8	2416	35
9	2435	35
0	9	7
0	14	7
1	21	7
2	36	7
3	66	7
4	88	7
0	88	6

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 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))

Symmetry

(negabs y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
cost-diff	0	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
cost-diff	1	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
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	21	21
2	36	21
3	66	21
4	88	21
0	88	19

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

localize23.0ms (0.4%)

Memory

1.5MiB live, 39.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy	0.0703125	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy	0.12109375	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

13.0ms	243×	0	valid
1.0ms	6×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.2% of total)

ival-div: 2.0ms (26.1% of total)

ival-sub: 1.0ms (13.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 16

Calls

Call 1

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

Outputs
-12/29
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -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) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	x	@	inf	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	y	@	inf	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	y	@	0	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms	x	@	0	((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))

simplify224.0ms (4%)

Memory

-3.3MiB live, 116.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	74
1	112	66
2	298	66
3	623	66
4	1581	66
5	2709	66
6	3712	66
7	4199	66
8	4372	66
9	4392	66
10	4406	66
11	5140	66
12	5520	66
13	5746	66
14	6197	66
15	6559	66
16	6565	66
17	6577	66
18	6577	66
0	8602	59

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite424.0ms (7.6%)

Memory

-163.2MiB live, 291.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	14	16
1	35	16
2	164	16
3	1263	16
0	8362	14

Stop Event

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

Counts

4 → 613

Calls

Call 1

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

Outputs
#s(literal 4/29 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -1 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 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (fma.f64 x x #s(literal -16/841 binary64)))) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (-.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 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.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 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (fma.f64 x x #s(literal -16/841 binary64)))) (-.f64 #s(literal 4/29 binary64) x))
(.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.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 #s(literal 3 binary64) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.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 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))))
(.f64 (/.f64 #s(literal 3 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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (-.f64 (fma.f64 x x (.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #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)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (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))) #s(literal -1 binary64))))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (fma.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 #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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 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))))
(.f64 (/.f64 (fma.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) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 #s(literal 3 binary64) (pow.f64 (-.f64 (fma.f64 x x (.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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)))) (/.f64 #s(literal 3 binary64) (pow.f64 (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))) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 192/24389 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.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)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 144/841 binary64) (.f64 (.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))
(.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (-.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)))))
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(+.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 1 binary64) (neg.f64 (/.f64 #s(literal 64/24389 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 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)))))
(+.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) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 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)))) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -4/29 binary64) x)
(+.f64 x #s(literal -4/29 binary64))

eval103.0ms (1.8%)

Memory: 32.4MiB live, 147.3MiB allocated
Compiler: Compiled 17 423 to 2 141 computations (87.7% saved)

prune13.0ms (0.2%)

Memory

5.5MiB live, 43.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	612	9	621
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	613	9	622

Accuracy

100.0%

Counts

622 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))
▶	99.6%	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
	99.7%	(.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))
▶	50.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
▶	51.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
	50.6%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 170 to 158 computations (7.1% saved)

simplify8.0ms (0.1%)

Memory

-26.4MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 y x))
cost-diff	0	(*.f64 y #s(literal -4/29 binary64))
cost-diff	4	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
cost-diff	0	(-.f64 x #s(literal 4/29 binary64))
cost-diff	0	(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
cost-diff	1	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
cost-diff	0	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
cost-diff	0	#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	(*.f64 #s(literal -12/29 binary64) y)
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	2	(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	106
0	39	102
1	66	102
2	85	102
0	85	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.3%)

Memory

8.9MiB live, 134.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.078125	(*.f64 y #s(literal -4/29 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
accuracy	0.26171875	(.f64 #s(literal 3 binary64) (.f64 y x))
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.046875	(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
accuracy	0.265625	(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.12109375	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
accuracy	31.817098186750993	#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
accuracy	0.12109375	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy	31.11372053044606	#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.07421875	(*.f64 #s(literal -12/29 binary64) y)
accuracy	0.08203125	(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))

Samples

51.0ms	243×	0	valid
2.0ms	7×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 220 to 52 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 19.0ms (51.7% of total)

const: 10.0ms (27.2% of total)

ival-div: 2.0ms (5.4% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 2.0ms (5.4% of total)

adjust: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-1.9MiB live, 36.0MiB allocated

Counts

14 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))
2.0ms	y	@	-inf	((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))
2.0ms	x	@	0	((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))
1.0ms	x	@	-inf	((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))
1.0ms	y	@	0	((+ (* (* 3 x) y) (* -12/29 y)) (* 3 x) (* -12/29 y) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (+ (* 3 (* y -4/29)) (* 3 (* y x))) (* y -4/29) (* 3 (* y x)) (* y x))

simplify311.0ms (5.6%)

Memory

18.8MiB live, 138.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	118
1	168	106
2	467	106
3	912	106
4	2314	106
5	3959	106
6	4954	106
7	5246	106
8	5492	106
9	5538	106
10	5582	106
11	5708	106
12	5988	106
13	6334	106
14	6344	106
15	6344	106
16	6344	106
0	8292	97

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite212.0ms (3.8%)

Memory

-20.5MiB live, 257.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	86
0	39	82
1	109	82
2	637	82
3	6507	82
0	8083	75

Stop Event

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

Counts

14 → 826

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (fma.f64 x x #s(literal -16/841 binary64))) (.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 y x)) (.f64 (-.f64 x #s(literal 4/29 binary64)) y) (pow.f64 (.f64 #s(literal -12/29 binary64) y) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (-.f64 #s(literal 16/841 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 y x)) (.f64 (-.f64 x #s(literal 4/29 binary64)) y) (pow.f64 (*.f64 #s(literal -12/29 binary64) y) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -36/29 binary64) y) y) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (fma.f64 x x #s(literal -16/841 binary64)) (.f64 (.f64 (.f64 #s(literal -36/29 binary64) y) x) y)))
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(fma.f64 (.f64 y x) (/.f64 (.f64 #s(literal 9 binary64) (.f64 y x)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) y)) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 144/841 binary64) y) y) (/.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))))
(fma.f64 (.f64 y x) #s(literal 3 binary64) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 #s(literal -4/29 binary64) y) (/.f64 (.f64 #s(literal -36/29 binary64) y) (.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal -4/29 binary64) x))))))
(fma.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64) (.f64 (*.f64 y x) #s(literal 3 binary64)))
(fma.f64 #s(literal -4/29 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -12/29 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))))))
(fma.f64 #s(literal -4/29 binary64) (.f64 y #s(literal 3 binary64)) (.f64 (*.f64 y x) #s(literal 3 binary64)))
(fma.f64 #s(literal -12/29 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -12/29 binary64)) (.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal -4/29 binary64) x))))))
(fma.f64 #s(literal -12/29 binary64) y (.f64 (.f64 y x) #s(literal 3 binary64)))
(fma.f64 y (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) y)) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 144/841 binary64) y) y) (/.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))))
(fma.f64 y (/.f64 (.f64 #s(literal 144/841 binary64) y) (.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))))))
(fma.f64 y #s(literal -12/29 binary64) (.f64 (.f64 y x) #s(literal 3 binary64)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) y) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) y)) (neg.f64 (.f64 (/.f64 (*.f64 #s(literal 144/841 binary64) y) y) (/.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 x (.f64 y #s(literal 3 binary64)) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) y)) (neg.f64 (.f64 (/.f64 (*.f64 #s(literal 144/841 binary64) y) y) (/.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 #s(literal 48/841 binary64) y) y) (.f64 (-.f64 #s(literal -4/29 binary64) x) (.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal -4/29 binary64) x))))))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))) (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal -4/29 binary64) x))))))
(fma.f64 #s(literal 3 binary64) (.f64 y x) (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y) (.f64 (*.f64 y x) #s(literal 3 binary64)))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (.f64 (/.f64 (.f64 #s(literal 144/841 binary64) y) y) (/.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(-.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (-.f64 #s(literal -4/29 binary64) x)))) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 144/841 binary64) y) y) (/.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))))
(+.f64 (.f64 #s(literal 48/841 binary64) (/.f64 (.f64 y y) (.f64 y (-.f64 #s(literal -4/29 binary64) x)))) (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal -4/29 binary64) x))))))
(+.f64 (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 y x) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal -12/29 binary64) y))
(*.f64 #s(literal -4/29 binary64) y)
(*.f64 y #s(literal -4/29 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 (.f64 y x) #s(literal 3 binary64))
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 x y)

eval45.0ms (0.8%)

Memory: 35.7MiB live, 111.8MiB allocated
Compiler: Compiled 8 986 to 1 191 computations (86.7% saved)

prune13.0ms (0.2%)

Memory

-2.7MiB live, 33.5MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	385	1	386
Fresh	0	4	4
Picked	0	5	5
Done	0	0	0
Total	385	10	395

Accuracy

100.0%

Counts

395 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))
✓	99.6%	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
▶	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
▶	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
▶	99.7%	(.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))
▶	51.5%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
✓	50.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	51.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	50.6%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 139 to 131 computations (5.8% saved)

simplify39.0ms (0.7%)

Memory

-14.9MiB live, 31.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
cost-diff	1	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
cost-diff	1	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(-.f64 x #s(literal 4/29 binary64))
cost-diff	1	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
cost-diff	0	#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
cost-diff	0	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 #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))
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
cost-diff	0	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	102
0	41	99
1	68	98
2	100	97
3	133	97
4	165	97
5	180	97
6	192	97
7	205	97
8	214	97
9	219	97
0	219	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
#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 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
y
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
#s(literal 3 binary64)
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
y
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)

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

localize167.0ms (3%)

Memory

11.0MiB live, 123.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
accuracy	0.28515625	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
accuracy	0.0	(*.f64 y #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 x #s(literal 4/29 binary64))
accuracy	0.21875	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
accuracy	0.046875	(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
accuracy	0.265625	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
accuracy	31.099644901639856	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.1328125	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	31.556829392050144	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))
accuracy	0.00390625	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy	0.12109375	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

54.0ms	243×	0	valid
2.0ms	6×	2	valid
2.0ms	7×	1	valid

Compiler

Compiled 203 to 59 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 22.0ms (50.1% of total)

const: 10.0ms (22.8% of total)

ival-div: 5.0ms (11.4% of total)

ival-add: 3.0ms (6.8% of total)

ival-sub: 2.0ms (4.6% of total)

adjust: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

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

series21.0ms (0.4%)

Memory

-30.5MiB live, 16.0MiB allocated

Counts

14 → 34

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
#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 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(*.f64 y #s(literal 3 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	-inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	x	@	-inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	x	@	inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	y	@	inf	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms	y	@	0	((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* 3 y) x) (* 3 y) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (- x 4/29) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))

simplify112.0ms (2%)

Memory

23.2MiB live, 136.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	214
1	274	204
2	650	204
3	1306	204
4	3535	196
5	6161	196
0	8100	182

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

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

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

rewrite334.0ms (6%)

Memory

8.4MiB live, 207.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	83
0	41	80
1	124	79
2	494	78
3	4181	78
0	8505	78

Stop Event

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

Counts

14 → 1 312

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
#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 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(*.f64 y #s(literal 3 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))

Outputs
(.f64 (/.f64 (.f64 (.f64 (fma.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 #s(literal 4/29 binary64) x))))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 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 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 #s(literal 4/29 binary64) x)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 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)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y) (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 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (-.f64 (.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 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)) (*.f64 x #s(literal 36/29 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #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 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 4/29 binary64)) y)) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 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 -1 binary64)))
(*.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))))
(.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) y))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (/.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 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 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)) y))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (/.f64 y (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) y))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y))
(.f64 (.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) (-.f64 x #s(literal 4/29 binary64)))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (-.f64 x #s(literal 4/29 binary64)) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) y) (/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal -4/29 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (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 0 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (.f64 (neg.f64 y) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 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 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (.f64 (neg.f64 y) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 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 0 binary64) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (.f64 (neg.f64 y) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64))))) (.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
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(/.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -5159780352/14507145975869 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (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)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(/.f64 (neg.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 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (fma.f64 #s(literal -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 (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 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -144/841 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 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 (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 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (fma.f64 #s(literal 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)))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))))
(/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -4/29 binary64)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 144/841 binary64) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))))
(/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x #s(literal -12/29 binary64))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (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)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) x) (/.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal -12/29 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(-.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(+.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal -12/29 binary64))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -12/29 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(+.f64 #s(literal -12/29 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal -12/29 binary64) (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal -12/29 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))

eval605.0ms (10.8%)

Memory: -1.4MiB live, 106.1MiB allocated
Compiler: Compiled 12 146 to 1 963 computations (83.8% saved)

prune200.0ms (3.6%)

Memory

-24.7MiB live, 30.0MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	659	3	662
Fresh	0	0	0
Picked	1	4	5
Done	1	4	5
Total	661	11	672

Accuracy

100.0%

Counts

672 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))
✓	99.6%	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
▶	51.3%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	51.5%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
▶	51.4%	(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
✓	50.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	51.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶	50.5%	(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
✓	50.6%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 110 to 102 computations (7.3% saved)

simplify5.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
cost-diff	0	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
cost-diff	0	#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* y (- x 4/29)) (*.f64 y x))
cost-diff	0	(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	68
0	26	68
1	39	68
2	51	68
3	55	68
0	55	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)

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

localize136.0ms (2.4%)

Memory

18.8MiB live, 52.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.28515625	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
accuracy	30.926542111846683	#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
accuracy	0.0	(*.f64 y #s(literal 3 binary64))
accuracy	0.21875	(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
accuracy	31.099644901639856	#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.265625	(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
accuracy	31.55306806849852	#s(approx (* y (- x 4/29)) (*.f64 y x))

Samples

126.0ms

256×

valid

Compiler

Compiled 122 to 42 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

const: 12.0ms (41.8% of total)

ival-mult: 10.0ms (34.8% of total)

ival-div: 3.0ms (10.5% of total)

ival-sub: 1.0ms (3.5% of total)

ival-add: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

8 → 29

Calls

Call 1

Inputs
(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 y x))
(*.f64 y x)
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 y #s(literal 3 binary64))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms	y	@	inf	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms	x	@	-inf	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms	y	@	0	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms	x	@	inf	((* (* y (- x 4/29)) 3) (* y (- x 4/29)) (* y x) (* (* y 3) (- x 4/29)) (* y 3) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))

simplify273.0ms (4.9%)

Memory

-3.0MiB live, 115.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	195
1	254	185
2	591	185
3	1191	185
4	3404	177
5	6124	177
0	8112	166

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

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

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

rewrite141.0ms (2.5%)

Memory

-17.6MiB live, 180.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	60
0	26	60
1	82	60
2	395	60
3	2906	60
0	8441	58

Stop Event

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

Counts

8 → 67

Calls

Call 1

Inputs
(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 y x))
(*.f64 y x)
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 y #s(literal 3 binary64))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))

Outputs
(.f64 #s(literal 3 binary64) #s(approx ( y (- x 4/29)) (*.f64 x y)))
(.f64 #s(approx ( y (- x 4/29)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (* y (- x 4/29)) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 #s(literal 3 binary64) (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y))
(.f64 y (.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (neg.f64 y))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) y)
(.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 (/.f64 y #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 y (pow.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) y) (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 y) #s(literal 1 binary64))) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (/.f64 y #s(literal -1 binary64)))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (neg.f64 y))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) y)) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))) (.f64 (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) y)) (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 y #s(literal 1 binary64)) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) y)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))))
(.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64)))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal -1 binary64))))

eval9.0ms (0.2%)

Memory: 20.8MiB live, 20.8MiB allocated
Compiler: Compiled 1 294 to 218 computations (83.2% saved)

prune7.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	83	11	94

Accuracy

100.0%

Counts

94 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))
✓	99.6%	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
✓	51.3%	(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.7%	(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
✓	51.5%	(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
✓	51.4%	(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
✓	50.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓	51.6%	(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓	50.5%	(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
✓	50.6%	#s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))

Compiler

Compiled 244 to 163 computations (33.2% saved)

regimes38.0ms (0.7%)

Memory

-4.8MiB live, 33.9MiB allocated

Counts

14 → 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))
(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))

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

Calls

5 calls:

21.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
4.0ms	y
4.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	x
4.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

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

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes43.0ms (0.8%)

Memory

5.1MiB live, 44.1MiB allocated

Counts

10 → 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))
(.f64 #s(approx ( y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
(.f64 #s(approx ( (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(.f64 (.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(.f64 (.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(.f64 (-.f64 x #s(literal 4/29 binary64)) (.f64 y #s(literal 3 binary64)))

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

Calls

5 calls:

29.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms	y
3.0ms	x
3.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))

Results

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

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes16.0ms (0.3%)

Memory

-16.4MiB live, 26.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

5 calls:

6.0ms	(-.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
98.0%	3	`x`
65.0%	6	`y`
80.1%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
98.0%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
98.0%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.6%	1	`y`
51.6%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
51.6%	1	`x`
51.6%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
51.6%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13793102836794116	245868.70328021835
0.0ms	-1.9202796199966385	-0.13793103786755334

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify87.0ms (1.6%)

Memory

-11.7MiB live, 61.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	62
1	40	62
2	64	62
3	122	62
4	223	62
5	336	62
6	567	62
7	6069	62

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))))
(.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

Outputs
(fma.f64 (.f64 #s(literal 3 binary64) x) y (.f64 #s(literal -12/29 binary64) y))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (or (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1 binary64)) (not (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (.f64 (.f64 #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)

soundness898.0ms (16.1%)

Memory

-3.1MiB live, 187.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	14	16
1	35	16
2	164	16
3	1263	16
0	8362	14
0	42	74
1	112	66
2	298	66
3	623	66
4	1581	66
5	2709	66
6	3712	66
7	4199	66
8	4372	66
9	4392	66
10	4406	66
11	5140	66
12	5520	66
13	5746	66
14	6197	66
15	6559	66
16	6565	66
17	6577	66
18	6577	66
0	8602	59

Stop Event

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

Compiler

Compiled 111 to 70 computations (36.9% saved)

preprocess72.0ms (1.3%)

Memory: 6.8MiB live, 178.0MiB allocated
Remove: (negabs y)
Compiler: Compiled 184 to 110 computations (40.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	102
0	41	99
1	68	98
2	100	97
3	133	97
4	165	97
5	180	97
6	192	97
7	205	97
8	214	97
9	219	97
0	219	97

Iter	Nodes	Cost
0	27	102
0	41	99
1	68	98
2	100	97
3	133	97
4	165	97
5	180	97
6	192	97
7	205	97
8	214	97
9	219	97
0	219	97

start0.0ms (0%)

analyze0.0ms (0%)

sample759.0ms (13.6%)

explain86.0ms (1.5%)

preprocess52.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

simplify224.0ms (4%)

rewrite424.0ms (7.6%)

eval103.0ms (1.8%)

prune13.0ms (0.2%)

simplify8.0ms (0.1%)

localize72.0ms (1.3%)

series13.0ms (0.2%)

simplify311.0ms (5.6%)

rewrite212.0ms (3.8%)

eval45.0ms (0.8%)

prune13.0ms (0.2%)

simplify39.0ms (0.7%)

localize167.0ms (3%)

series21.0ms (0.4%)

simplify112.0ms (2%)

rewrite334.0ms (6%)

eval605.0ms (10.8%)

prune200.0ms (3.6%)

simplify5.0ms (0.1%)

localize136.0ms (2.4%)

series6.0ms (0.1%)

simplify273.0ms (4.9%)

rewrite141.0ms (2.5%)

eval9.0ms (0.2%)

prune7.0ms (0.1%)

regimes38.0ms (0.7%)

regimes43.0ms (0.8%)

regimes16.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

simplify87.0ms (1.6%)

soundness898.0ms (16.1%)

preprocess72.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	102
0	41	99
1	68	98
2	100	97
3	133	97
4	165	97
5	180	97
6	192	97
7	205	97
8	214	97
9	219	97
0	219	97