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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.2s (15.4%)

Memory

19.6MiB live, 874.8MiB allocated

Samples

734.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-mult: 149.0ms (45.2% of total)

ival-div: 93.0ms (28.2% of total)

ival-sub: 71.0ms (21.5% of total)

exact: 9.0ms (2.7% of total)

ival-true: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess58.0ms (0.7%)

Memory

28.2MiB live, 28.2MiB allocated

Algorithm

2×	egg-herbie

Rules

530×	`distribute-lft-in`
476×	`distribute-rgt-in`
346×	`unsub-neg`
306×	`associate-r`
258×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	58	44
2	166	42
3	549	42
4	1673	42
5	1917	42
6	2146	42
7	2241	42
8	2272	42
9	2284	42
0	10	7
1	17	7
2	32	7
3	62	7
4	84	7
0	84	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (* (- x (/ 16 116)) 3) y)

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

Call 2

Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (* (- (neg x) (/ 16 116)) 3) y)
(* (* (- x (/ 16 116)) 3) (neg y))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (* (- y (/ 16 116)) 3) x)

Outputs
(* (* (- x (/ 16 116)) 3) y)
(* (+ x -4/29) (* 3 y))
(* (* (- (neg x) (/ 16 116)) 3) y)
(* 3 (* y (- -4/29 x)))
(* (* (- x (/ 16 116)) 3) (neg y))
(* y (- 12/29 (* x 3)))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(* 3 (* y (+ x 4/29)))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (+ x -4/29) (* 3 y))
(* (* (- y (/ 16 116)) 3) x)
(* x (- -12/29 (* y -3)))

Symmetry

(negabs y)

explain228.0ms (2.9%)

Memory

-13.9MiB live, 149.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	470×	0	valid
3.0ms	30×	1	valid
2.0ms	12×	2	valid

Compiler

Compiled 84 to 40 computations (52.4% saved)

Precisions

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

ival-mult: 6.0ms (32% of total)

ival-sub: 6.0ms (32% of total)

ival-div: 5.0ms (26.7% of total)

adjust: 1.0ms (5.3% of total)

exact: 1.0ms (5.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	128	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓	cost-diff	704	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
26×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	17	21
2	32	21
3	62	21
4	84	21
0	84	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (- x (/ 16 116)) 3)
(- x (/ 16 116))
x
(/ 16 116)
16
116
3
y

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

localize55.0ms (0.7%)

Memory

-0.5MiB live, 38.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
✓	accuracy	99.8%	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓	accuracy	99.4%	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)

Samples

13.0ms	235×	0	valid
2.0ms	15×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-div: 3.0ms (37.3% of total)

ival-mult: 3.0ms (37.3% of total)

ival-sub: 1.0ms (12.4% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ 16 116)>
#<alt (* (- x (/ 16 116)) 3)>
#<alt (* (* (- x (/ 16 116)) 3) y)>
#<alt (- x (/ 16 116))>

Outputs
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* (- x (/ 16 116)) 3) y)
1.0ms	y	@	inf	(* (* (- x (/ 16 116)) 3) y)
0.0ms	x	@	-inf	(* (* (- x (/ 16 116)) 3) y)
0.0ms	x	@	inf	(* (- x (/ 16 116)) 3)
0.0ms	x	@	0	(* (* (- x (/ 16 116)) 3) y)

rewrite597.0ms (7.7%)

Memory

-18.6MiB live, 546.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 904×	`/-lowering-/.f32`
4 904×	`/-lowering-/.f64`
4 434×	`accelerator-lowering-fma.f32`
4 434×	`accelerator-lowering-fma.f64`
4 154×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	31	16
2	160	16
3	1257	16
0	8897	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 507

Calls

Call 1

Inputs
(/ 16 116)
(* (- x (/ 16 116)) 3)
(* (* (- x (/ 16 116)) 3) y)
(- x (/ 16 116))

Outputs
#s(literal 4/29 binary64)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.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)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.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)))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.f64 (.f64 x x) (*.f64 x x))))
(+.f64 (.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (.f64 x x)) (.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (.f64 x x)) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal -4/29 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal 4/29 binary64) x)) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.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)))))
(fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.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))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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))))) (+.f64 x #s(literal -4/29 binary64))) (.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
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(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x (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 #s(literal 1 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)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (+.f64 (fma.f64 x x #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) x) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #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)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #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)) (fma.f64 x (neg.f64 (.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 #s(literal -4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (+.f64 #s(literal 4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 #s(literal 4/29 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -262144/14507145975869 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.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)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -262144/14507145975869 binary64)) (.f64 (fma.f64 #s(literal 4/29 binary64) x (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 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (*.f64 x #s(literal 64/24389 binary64)) #s(literal 4096/594823321 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.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)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.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)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (.f64 (fma.f64 #s(literal 4/29 binary64) x (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 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (neg.f64 (.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (-.f64 (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64)) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -256/707281 binary64)) (fma.f64 x (.f64 x x) #s(literal 64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (neg.f64 (.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64)) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)))

simplify300.0ms (3.9%)

Memory

-7.8MiB live, 324.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 408×	`accelerator-lowering-fma.f32`
4 408×	`accelerator-lowering-fma.f64`
3 680×	`-lowering-.f32`
3 680×	`-lowering-.f64`
2 488×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	284
1	112	242
2	290	242
3	614	242
4	1569	242
5	2629	242
6	3705	242
7	4196	242
8	4371	242
9	4391	242
10	4405	242
11	5139	242
12	5519	242
13	5745	242
14	6196	242
15	6558	242
16	6564	242
17	6576	242
18	6576	242
0	8629	212

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval83.0ms (1.1%)

Memory: 6.7MiB live, 122.7MiB allocated
Compiler: Compiled 16 447 to 1 805 computations (89% saved)

prune71.0ms (0.9%)

Memory

8.9MiB live, 167.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	547	8	555
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	548	8	556

Accuracy

100.0%

Counts

556 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 #s(literal 3 binary64) (.f64 y #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 y x)))
▶	99.1%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
	99.4%	(*.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 #s(literal 3 binary64) y))
▶	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	51.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
	52.0%	(.f64 #s(literal 3 binary64) (.f64 x y))
▶	50.0%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 134 to 100 computations (25.4% saved)

simplify11.0ms (0.1%)

Memory

-24.2MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
✓	cost-diff	896	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	cost-diff	128	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	0	(*.f64 #s(literal -12/29 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(+.f64 x #s(literal -4/29 binary64))
✓	cost-diff	128	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))

Rules

96×	`-lowering-.f32`
96×	`-lowering-.f64`
64×	`/-lowering-/.f32`
64×	`/-lowering-/.f64`
64×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	34	76
2	63	76
3	96	74
4	113	74
5	123	74
6	135	74
7	147	74
8	157	74
9	164	74
10	169	74
11	169	74
0	169	70

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize69.0ms (0.9%)

Memory

7.2MiB live, 130.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	accuracy	99.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	99.9%	(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓	accuracy	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.4%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	99.8%	(*.f64 #s(literal -12/29 binary64) y)
✓	accuracy	100.0%	(+.f64 x #s(literal -4/29 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))

Samples

33.0ms	235×	0	valid
12.0ms	15×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

const: 14.0ms (44.9% of total)

ival-mult: 10.0ms (32.1% of total)

ival-div: 4.0ms (12.8% of total)

ival-add: 3.0ms (9.6% of total)

adjust: 1.0ms (3.2% 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

-4.6MiB live, 33.2MiB allocated

Counts

11 → 192

Calls

Call 1

Inputs
#<alt (* (+ x -4/29) (* 3 y))>
#<alt (+ x -4/29)>
#<alt (* 3 y)>
#<alt (* -12/29 y)>
#<alt (* (* x 3) y)>
#<alt (* x 3)>
#<alt (* (* (+ x -4/29) y) 3)>
#<alt (* (+ x -4/29) y)>
#<alt (/ y (/ 1 (+ (* x 3) -12/29)))>
#<alt (/ 1 (+ (* x 3) -12/29))>
#<alt (+ (* x 3) -12/29)>

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

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* (+ x -4/29) y)
2.0ms	y	@	inf	(* (* x 3) y)
1.0ms	y	@	0	(* 3 y)
1.0ms	x	@	0	(* (* x 3) y)
0.0ms	y	@	0	(/ y (/ 1 (+ (* x 3) -12/29)))

rewrite346.0ms (4.5%)

Memory

29.2MiB live, 699.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 664×	`-lowering-.f32`
4 664×	`-lowering-.f64`
3 434×	`accelerator-lowering-fma.f32`
3 434×	`accelerator-lowering-fma.f64`
2 712×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	77	55
2	440	55
3	3956	55
0	8442	50

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 207

Calls

Call 1

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

Outputs
(+.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64))))
(+.f64 (.f64 (neg.f64 y) #s(literal 12/29 binary64)) (.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64))) (*.f64 (neg.f64 y) #s(literal 12/29 binary64)))
(+.f64 (.f64 #s(literal 12/29 binary64) (neg.f64 y)) (.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y)) (*.f64 #s(literal 12/29 binary64) (neg.f64 y)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(fma.f64 x (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -4/29 binary64) (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal -4/29 binary64) y) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 y #s(literal -12/29 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 y (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) x (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -12/29 binary64) y (.f64 x (.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (.f64 x #s(literal 3 binary64)) y (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 y #s(literal -12/29 binary64))))
(fma.f64 (neg.f64 y) #s(literal 12/29 binary64) (.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64))))
(fma.f64 (neg.f64 y) (.f64 x #s(literal -3 binary64)) (.f64 (neg.f64 y) #s(literal 12/29 binary64)))
(fma.f64 #s(literal 12/29 binary64) (neg.f64 y) (.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 y) (.f64 #s(literal 12/29 binary64) (neg.f64 y)))
(fma.f64 (.f64 x y) #s(literal 3 binary64) (.f64 y #s(literal -12/29 binary64)))
(fma.f64 (.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64) (.f64 x (*.f64 #s(literal 3 binary64) y)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (.f64 y (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (.f64 y (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (.f64 #s(literal 3 binary64) (.f64 y (fma.f64 x x #s(literal -16/841 binary64))))))
(/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))))
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
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(.f64 (pow.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 1728/24389 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 144/841 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.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)) (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) #s(literal 1 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)) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x x) #s(literal -64/24389 binary64))) (.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) #s(literal 1 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 (pow.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (fma.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)) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.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)) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (.f64 x #s(literal -36/29 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 1728/24389 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -36/29 binary64) #s(literal 144/841 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 1728/24389 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -2985984/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (fma.f64 (.f64 x x) #s(literal 1296/841 binary64) #s(literal 20736/707281 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) #s(literal -20736/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 144/841 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64) #s(literal -5159780352/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal 2985984/594823321 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -46656/24389 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -2985984/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 1728/24389 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 144/841 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (.f64 x #s(literal -3 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64)))))
(.f64 (exp.f64 (log.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))
(.f64 (exp.f64 (log.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))))

simplify400.0ms (5.1%)

Memory

-145.0MiB live, 550.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 072×	`accelerator-lowering-fma.f32`
7 072×	`accelerator-lowering-fma.f64`
2 490×	`-lowering-.f32`
2 490×	`-lowering-.f64`
2 114×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1142
1	274	1016
2	640	1016
3	1295	1016
4	3519	1008
5	5894	1008
6	7999	1008
0	8001	930

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
-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)
(/ 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)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -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))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))

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

eval846.0ms (10.9%)

Memory: 26.2MiB live, 335.8MiB allocated
Compiler: Compiled 24 580 to 2 515 computations (89.8% saved)

prune505.0ms (6.5%)

Memory

-19.7MiB live, 343.7MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 471	5	1 476
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 475	9	1 484

Accuracy

100.0%

Counts

1 484 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(/.f64 y #s(literal -29/12 binary64))
▶	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶	52.0%	(.f64 (.f64 y x) #s(literal 3 binary64))
▶	49.9%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	51.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	52.0%	(.f64 (.f64 #s(literal 3 binary64) y) x)
▶	50.0%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	50.0%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 103 to 80 computations (22.3% saved)

simplify7.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 y #s(literal -4/29 binary64))
✓	cost-diff	320	(.f64 (.f64 y #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	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	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)

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
28×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	28	56
2	35	56
3	43	56
4	51	56
5	57	56
0	57	54

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize59.0ms (0.8%)

Memory

-29.6MiB live, 167.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.7%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	accuracy	99.9%	(*.f64 y #s(literal -4/29 binary64))
✓	accuracy	99.5%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓	accuracy	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)

Samples

32.0ms	235×	0	valid
3.0ms	15×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 15.0ms (64.9% of total)

const: 6.0ms (26% of total)

ival-add: 1.0ms (4.3% 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)

series3.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (* (+ (* x 3) -12/29) y)>
#<alt (+ (* x 3) -12/29)>
#<alt (* (* 3 y) -4/29)>
#<alt (* 3 y)>
#<alt (* (* 3 y) x)>
#<alt (* (* y -4/29) 3)>
#<alt (* y -4/29)>
#<alt (* (* y x) 3)>
#<alt (* y x)>

Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

39 calls:

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

rewrite483.0ms (6.2%)

Memory

30.4MiB live, 1 014.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 320×	`accelerator-lowering-fma.f32`
13 320×	`accelerator-lowering-fma.f64`
4 842×	`/-lowering-/.f32`
4 842×	`/-lowering-/.f64`
4 656×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	42	37
2	182	37
3	1378	37
0	8630	35

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 549

Calls

Call 1

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

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

simplify301.0ms (3.9%)

Memory

-38.5MiB live, 371.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 144×	`accelerator-lowering-fma.f32`
3 144×	`accelerator-lowering-fma.f64`
2 200×	`-lowering-.f32`
2 200×	`-lowering-.f64`
2 080×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	710
1	87	668
2	208	668
3	445	668
4	726	668
5	1334	668
6	3235	668
7	4529	668
8	5169	668
9	5340	668
10	5393	668
11	5445	668
12	6503	668
13	6921	668
14	6945	668
15	6975	668
16	7008	668
17	7020	668
18	7148	668
19	7666	668
20	7666	668
21	7666	668
0	8210	638

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval116.0ms (1.5%)

Memory: 11.9MiB live, 202.9MiB allocated
Compiler: Compiled 18 405 to 1 500 computations (91.9% saved)

prune73.0ms (0.9%)

Memory

24.1MiB live, 190.8MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	719	0	719
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	719	9	728

Accuracy

100.0%

Counts

728 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(/.f64 y #s(literal -29/12 binary64))
✓	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	52.0%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	49.9%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	51.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	52.0%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	50.0%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
✓	50.0%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 62 to 48 computations (22.6% saved)

simplify5.0ms (0.1%)

Memory

-31.7MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal -29/12 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y -29/12)
y
-29/12

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

localize15.0ms (0.2%)

Memory

35.9MiB live, 35.9MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 y #s(literal -29/12 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

const: 3.0ms (55.2% of total)

ival-div: 2.0ms (36.8% of total)

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

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

series0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ y -29/12)>

Outputs
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ y -29/12)
0.0ms	y	@	inf	(/ y -29/12)
0.0ms	y	@	-inf	(/ y -29/12)

rewrite201.0ms (2.6%)

Memory

10.1MiB live, 440.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 406×	`accelerator-lowering-fma.f32`
3 406×	`accelerator-lowering-fma.f64`
2 330×	`-lowering-.f32`
2 330×	`-lowering-.f64`
1 942×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	38	3
3	141	3
4	646	3
5	6446	3
0	8369	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 341

Calls

Call 1

Inputs
(/ y -29/12)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 y #s(literal -12/29 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 (*.f64 y y) #s(literal 144/841 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal -1/2 binary64) (neg.f64 (.f64 (log.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -12/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 29/12 binary64) (.f64 y y))) (*.f64 y #s(literal -12/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal 29/12 binary64))) (.f64 y #s(literal -12/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 144/841 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 12/29 binary64) #s(literal 0 binary64))
(fma.f64 y (pow.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -12/29 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 12/29 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -12/29 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 12/29 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 12/29 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 12/29 binary64) (*.f64 y (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 12/29 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -29/12 binary64) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 29/12 binary64) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -29/12 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 29/12 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 12/29 binary64) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 12/29 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -29/12 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 29/12 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -29/12 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 29/12 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (/.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (/.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 29/12 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -29/12 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 y #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1728/24389 binary64)) (/.f64 #s(literal 841/144 binary64) (.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y y) #s(literal 144/841 binary64)) (/.f64 #s(literal -29/12 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (/.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 29/12 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 29/12 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -29/12 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -29/12 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) y #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -12/29 binary64) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -12/29 binary64) (.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 12/29 binary64) y) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 12/29 binary64) (neg.f64 y)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 12/29 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) y #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (.f64 y #s(literal -12/29 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y)))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y)))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (.f64 y (.f64 y (.f64 y y)))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (neg.f64 (.f64 y (.f64 y (.f64 y y))))) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (*.f64 y (neg.f64 y))) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (.f64 y (.f64 y y))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (*.f64 y y)) y #s(literal 0 binary64))
(neg.f64 (*.f64 y #s(literal -12/29 binary64)))
(/.f64 y #s(literal -29/12 binary64))
(/.f64 y #s(literal 29/12 binary64))
(/.f64 (neg.f64 y) #s(literal -29/12 binary64))
(/.f64 (neg.f64 y) #s(literal 29/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -29/12 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 144/841 binary64)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1728/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal -12/29 binary64)) (.f64 (*.f64 y y) #s(literal 144/841 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y)))))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -29/12 binary64) y))
(/.f64 #s(literal 12/29 binary64) (/.f64 #s(literal 1 binary64) y))
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(*.f64 (pow.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y #s(literal -12/29 binary64)))
(.f64 (.f64 #s(literal -12/29 binary64) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal -12/29 binary64) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 y (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 12/29 binary64) y) (.f64 y (neg.f64 y)))
(.f64 (/.f64 #s(literal 12/29 binary64) (neg.f64 y)) (.f64 y y))
(.f64 (/.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 y (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 12/29 binary64) (.f64 y y)))
(.f64 (.f64 (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) y)
(.f64 (.f64 (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (neg.f64 y))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))
(.f64 (.f64 #s(literal 12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64)))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64)))) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -12/29 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -29/12 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 29/12 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -12/29 binary64))) (pow.f64 (.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y))) (sqrt.f64 (.f64 y #s(literal -12/29 binary64))))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y)))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -29/12 binary64) y)))) (sqrt.f64 (*.f64 y #s(literal -12/29 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 12/29 binary64))) (neg.f64 (.f64 y (.f64 y (.f64 y y))))) (.f64 y (neg.f64 y)))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (neg.f64 y)))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (.f64 y (neg.f64 y))) (neg.f64 y))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (.f64 y (.f64 y y))) (.f64 y y))
(.f64 (/.f64 (.f64 #s(literal 12/29 binary64) (.f64 y (neg.f64 y))) (.f64 y y)) y)

simplify7.0ms (0.1%)

Memory

-20.8MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)

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

eval56.0ms (0.7%)

Memory: 2.8MiB live, 56.7MiB allocated
Compiler: Compiled 3 905 to 561 computations (85.6% saved)

prune77.0ms (1%)

Memory

-8.6MiB live, 105.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	352	10	362

Accuracy

100.0%

Counts

362 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.9%	(/.f64 y #s(literal -29/12 binary64))
✓	99.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓	99.6%	(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓	52.0%	(.f64 (.f64 y x) #s(literal 3 binary64))
✓	49.9%	(.f64 (.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓	51.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	52.0%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	50.0%	(.f64 (.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
	3.0%	(*.f64 y #s(literal 12/29 binary64))
✓	50.0%	(*.f64 #s(literal -12/29 binary64) y)

Compiler

Compiled 155 to 90 computations (41.9% saved)

regimes26.0ms (0.3%)

Memory

-1.4MiB live, 41.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.7%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.7%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes20.0ms (0.3%)

Memory

-2.3MiB live, 36.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	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))
3.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.6%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.6%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes19.0ms (0.2%)

Memory

1.6MiB live, 40.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms	y
3.0ms	x
3.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
3.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
99.4%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
99.4%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes19.0ms (0.2%)

Memory

-6.1MiB live, 28.9MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	y
3.0ms	x
3.0ms	(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms	(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
3.0ms	(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))

Results

Accuracy	Segments	Branch
97.6%	3	`x`
61.0%	3	`y`
79.1%	3	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
97.6%	3	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
97.6%	3	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes8.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Accuracy

Total -30.7b remaining (-96.1%)

Threshold costs -30.7b (-96.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal 12/29 binary64))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.0%	1	`y`
50.0%	1	`(.f64 (.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)`
50.0%	1	`x`
50.0%	1	`(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))`
50.0%	1	`(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))`

Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13197380272956555	26.39605139727822
0.0ms	-66085431.17046389	-0.13962918746575453

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.13197380272956555	26.39605139727822
0.0ms	-66085431.17046389	-0.13962918746575453

Compiler

Compiled 14 to 14 computations (0% saved)

simplify12.0ms (0.2%)

Memory

-23.6MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	77
1	43	77
2	52	77
3	58	77
4	63	77
5	65	77

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.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 -50000000 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 #s(literal 3 binary64) y) x)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50000000 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 x y))))
(*.f64 #s(literal -12/29 binary64) y)

Outputs
(.f64 (+.f64 x #s(literal -4/29 binary64)) (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 (+.f64 x #s(literal -4/29 binary64)) y))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50000000 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 (*.f64 #s(literal 3 binary64) y) x)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50000000 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 y #s(literal -12/29 binary64)) (.f64 x (*.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50000000 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 #s(literal -12/29 binary64) y) (.f64 #s(literal 3 binary64) (*.f64 x y))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50000000 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 y #s(literal -12/29 binary64)) (.f64 #s(literal 3 binary64) (*.f64 x y))))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal -12/29 binary64))

soundness1.4s (17.9%)

Memory

6.1MiB live, 433.6MiB allocated

Rules

4 904×	`/-lowering-/.f32`
4 904×	`/-lowering-/.f64`
4 664×	`-lowering-.f32`
4 664×	`-lowering-.f64`
4 434×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	77	55
2	440	55
3	3956	55
0	8442	50
0	42	284
1	112	242
2	290	242
3	614	242
4	1569	242
5	2629	242
6	3705	242
7	4196	242
8	4371	242
9	4391	242
10	4405	242
11	5139	242
12	5519	242
13	5745	242
14	6196	242
15	6558	242
16	6564	242
17	6576	242
18	6576	242
0	8629	212
0	10	16
1	31	16
2	160	16
3	1257	16
0	8897	14

Stop Event

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

Compiler

Compiled 152 to 80 computations (47.4% saved)

preprocess78.0ms (1%)

Memory: -7.0MiB live, 155.4MiB allocated
Remove: (negabs y)
Compiler: Compiled 278 to 144 computations (48.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	17	76
1	34	76
2	63	76
3	96	74
4	113	74
5	123	74
6	135	74
7	147	74
8	157	74
9	164	74
10	169	74
11	169	74
0	169	70

Iter	Nodes	Cost
0	17	76
1	34	76
2	63	76
3	96	74
4	113	74
5	123	74
6	135	74
7	147	74
8	157	74
9	164	74
10	169	74
11	169	74
0	169	70

analyze0.0ms (0%)

sample1.2s (15.4%)

preprocess58.0ms (0.7%)

explain228.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize55.0ms (0.7%)

series4.0ms (0.1%)

rewrite597.0ms (7.7%)

simplify300.0ms (3.9%)

eval83.0ms (1.1%)

prune71.0ms (0.9%)

simplify11.0ms (0.1%)

localize69.0ms (0.9%)

series13.0ms (0.2%)

rewrite346.0ms (4.5%)

simplify400.0ms (5.1%)

eval846.0ms (10.9%)

prune505.0ms (6.5%)

simplify7.0ms (0.1%)

localize59.0ms (0.8%)

series3.0ms (0%)

rewrite483.0ms (6.2%)

simplify301.0ms (3.9%)

eval116.0ms (1.5%)

prune73.0ms (0.9%)

simplify5.0ms (0.1%)

localize15.0ms (0.2%)

series0.0ms (0%)

rewrite201.0ms (2.6%)

simplify7.0ms (0.1%)

eval56.0ms (0.7%)

prune77.0ms (1%)

regimes26.0ms (0.3%)

regimes20.0ms (0.3%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness1.4s (17.9%)

preprocess78.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	76
1	34	76
2	63	76
3	96	74
4	113	74
5	123	74
6	135	74
7	147	74
8	157	74
9	164	74
10	169	74
11	169	74
0	169	70