Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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 13 to 10 computations (23.1% saved)

sample675.0ms (14.8%)

Memory

15.2MiB live, 1 276.5MiB allocated

Samples

494.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-mult: 187.0ms (69.6% of total)

ival-add: 68.0ms (25.3% of total)

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

exact: 4.0ms (1.5% of total)

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

Bogosity

preprocess33.0ms (0.7%)

Memory

-5.0MiB live, 33.6MiB allocated

Algorithm

1×	egg-herbie

Rules

266×	`sub-neg`
198×	`unsub-neg`
146×	`cancel-sign-sub-inv`
142×	`associate-+l-`
136×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	68	49
2	215	46
3	578	45
4	1132	45
5	1396	45
6	1445	45
0	8	9
1	15	9
2	25	9
3	27	9
0	27	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x 2) (* x x)) (* y y))

Outputs
(+ (+ (* x 2) (* x x)) (* y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))

Symmetry

(abs y)

explain129.0ms (2.8%)

Memory

3.6MiB live, 139.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
-	-	`(*.f64 y y)`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 90 to 36 computations (60% saved)

Precisions

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

ival-mult: 9.0ms (61.2% of total)

ival-add: 4.0ms (27.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	cost-diff	320	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
28×	`accelerator-lowering-fma.f32`
28×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	15	26
2	25	26
3	27	26
0	27	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x 2) (* x x)) (* y y))
(+ (* x 2) (* x x))
(* x 2)
x
2
(* x x)
(* y y)
y

Outputs
(+ (+ (* x 2) (* x x)) (* y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(+ (* x 2) (* x x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
(* y y)
(*.f64 y y)
y

localize34.0ms (0.7%)

Memory

-36.3MiB live, 41.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

14.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (69.1% of total)

ival-add: 2.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (+ (* x 2) (* x x))>
#<alt (+ (+ (* x 2) (* x x)) (* y y))>
#<alt (* x 2)>
#<alt (* x x)>

Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (+ (* 2 x) (pow x 2))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* x 2) (* x x))
0.0ms	y	@	0	(+ (+ (* x 2) (* x x)) (* y y))
0.0ms	x	@	inf	(+ (* x 2) (* x x))
0.0ms	x	@	0	(* x 2)
0.0ms	x	@	-inf	(* x 2)

rewrite388.0ms (8.5%)

Memory

11.5MiB live, 616.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 744×	`accelerator-lowering-fma.f32`
6 744×	`accelerator-lowering-fma.f64`
4 716×	`-lowering-.f32`
4 716×	`-lowering-.f64`
2 642×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	42	20
2	401	20
3	6135	20
0	8089	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 211

Calls

Call 1

Inputs
(+ (* x 2) (* x x))
(+ (+ (* x 2) (* x x)) (* y y))
(* x 2)
(* x x)

Outputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (/.f64 x (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 x x) (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x) (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x #s(literal 4 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 x (+.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(neg.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (.f64 x #s(literal 2 binary64))))) (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y)) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))))
(.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))))
(.f64 (neg.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (*.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))))))) (fma.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))))))) (-.f64 (.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (-.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 y y) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify268.0ms (5.9%)

Memory

19.8MiB live, 483.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 938×	`accelerator-lowering-fma.f32`
9 938×	`accelerator-lowering-fma.f64`
3 308×	`-lowering-.f32`
3 308×	`-lowering-.f64`
1 722×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	298
1	101	298
2	272	298
3	917	298
4	2774	298
5	4851	298
6	7645	298
0	8375	282

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+ (* 2 x) (pow x 2))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval61.0ms (1.3%)

Memory: -30.7MiB live, 67.5MiB allocated
Compiler: Compiled 8 593 to 651 computations (92.4% saved)

prune31.0ms (0.7%)

Memory

-1.1MiB live, 74.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	265	6	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	266	6	272

Accuracy

100.0%

Counts

272 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
▶	67.9%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
	80.4%	(+.f64 (.f64 x x) (.f64 y y))
▶	49.9%	(*.f64 y y)
▶	59.1%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶	39.9%	(*.f64 x x)

Compiler

Compiled 88 to 54 computations (38.6% saved)

simplify5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	cost-diff	(+.f64 #s(literal 2 binary64) x)
✓	cost-diff	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
28×	`accelerator-lowering-fma.f32`
28×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	18	49
2	22	49
3	26	49
0	26	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ x 2) x) (* y y))
(+ x 2)
x
2
(* y y)
y
(* x x)
x
(* y y)
y
(* x (+ 2 x))
x
(+ 2 x)
2
(+ (* 2 x) (* y y))
2
x
(* y y)
y

Outputs
(+ (* (+ x 2) x) (* y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* y y)
(*.f64 y y)
y
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
x
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* 2 x) (* y y))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
2
#s(literal 2 binary64)
x
(* y y)
(*.f64 y y)
y

localize41.0ms (0.9%)

Memory

9.9MiB live, 90.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 y y)

Samples

27.0ms

256×

valid

Compiler

Compiled 49 to 14 computations (71.4% saved)

Precisions

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

ival-mult: 7.0ms (56.8% of total)

ival-add: 5.0ms (40.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

7 → 108

Calls

Call 1

Inputs
#<alt (+ (* (+ x 2) x) (* y y))>
#<alt (+ x 2)>
#<alt (* y y)>
#<alt (* x x)>
#<alt (* x (+ 2 x))>
#<alt (+ 2 x)>
#<alt (+ (* 2 x) (* y y))>

Outputs
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* x (+ 2 x))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ 2 x))
0.0ms	y	@	0	(+ (* (+ x 2) x) (* y y))
0.0ms	x	@	-inf	(+ (* (+ x 2) x) (* y y))
0.0ms	x	@	-inf	(* x (+ 2 x))
0.0ms	x	@	0	(+ (* (+ x 2) x) (* y y))

rewrite378.0ms (8.3%)

Memory

-8.2MiB live, 504.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 298×	`accelerator-lowering-fma.f32`
7 298×	`accelerator-lowering-fma.f64`
4 382×	`-lowering-.f32`
4 382×	`-lowering-.f64`
2 772×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	63	33
2	516	33
3	6830	33
0	8380	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 429

Calls

Call 1

Inputs
(+ (* (+ x 2) x) (* y y))
(+ x 2)
(* y y)
(* x x)
(* x (+ 2 x))
(+ 2 x)
(+ (* 2 x) (* y y))

Outputs
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) (.f64 y y)))
(+.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 x x (.f64 y y)))
(+.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 x x))
(+.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))))
(+.f64 (fma.f64 x x (.f64 y y)) (.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))) #s(literal -1 binary64)))
(-.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 x x)))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 x (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 x x (*.f64 y y)))
(fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (*.f64 x x))
(fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 x x))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) x) (*.f64 y y))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (/.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 y y))
(fma.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))))) (.f64 x x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (*.f64 x x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))))) (.f64 x x))
(fma.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -2 binary64))) x) (*.f64 y y))
(fma.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) x) (.f64 y y))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 y y))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 x x))
(fma.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (.f64 x x))
(fma.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (.f64 x x))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 y y))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))))) (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 y y))
(fma.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 x x))
(fma.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (/.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(fma.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(fma.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (/.f64 x (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(fma.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (.f64 y y))
(fma.f64 (.f64 x (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -2 binary64))) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 x x))
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(fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))))
(fma.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))))
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(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))))) (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 64 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 16 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) #s(literal 4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y y (.f64 x #s(literal -2 binary64))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y)))))
(.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))))))
(.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (*.f64 x #s(literal -2 binary64))))))))
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(.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 y y)))
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(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))))
(.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x #s(literal -2 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 x #s(literal 2 binary64) (.f64 y y)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)))) (fma.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (-.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) #s(literal 4 binary64))))

simplify292.0ms (6.4%)

Memory

12.8MiB live, 443.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 808×	`accelerator-lowering-fma.f32`
8 808×	`accelerator-lowering-fma.f64`
3 150×	`-lowering-.f32`
3 150×	`-lowering-.f64`
1 842×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	550
1	126	550
2	344	502
3	1270	502
4	3602	502
0	8113	468

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* x (+ 2 x))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(* 2 x)
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 2 (/ (pow y 2) x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* 2 x)
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))

Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))

eval149.0ms (3.3%)

Memory: -13.7MiB live, 145.3MiB allocated
Compiler: Compiled 13 885 to 990 computations (92.9% saved)

prune63.0ms (1.4%)

Memory

1.3MiB live, 162.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	575	2	577
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	576	7	583

Accuracy

100.0%

Counts

583 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
▶	80.5%	(fma.f64 x x (*.f64 y y))
✓	67.9%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	49.9%	(*.f64 y y)
✓	59.1%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	39.9%	(*.f64 x x)
▶	20.6%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 48 to 30 computations (37.5% saved)

simplify4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(fma.f64 x x (*.f64 y y))
✓	cost-diff	(*.f64 x #s(literal 2 binary64))

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	9	17
0	9	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x 2)
x
2
(+ (* x x) (* y y))
x
(* y y)
y

Outputs
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(+ (* x x) (* y y))
(fma.f64 x x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y

localize20.0ms (0.4%)

Memory

16.5MiB live, 54.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

ival-mult: 5.0ms (79.1% of total)

ival-add: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (* x 2)>
#<alt (+ (* x x) (* y y))>
#<alt (* y y)>

Outputs
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+ (* x x) (* y y))
0.0ms	x	@	0	(+ (* x x) (* y y))
0.0ms	x	@	inf	(+ (* x x) (* y y))
0.0ms	x	@	-inf	(+ (* x x) (* y y))
0.0ms	y	@	-inf	(+ (* x x) (* y y))

rewrite425.0ms (9.3%)

Memory

-36.0MiB live, 622.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 668×	`accelerator-lowering-fma.f32`
6 668×	`accelerator-lowering-fma.f64`
4 108×	`/-lowering-/.f32`
4 108×	`/-lowering-/.f64`
3 356×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	24	13
2	178	13
3	1650	13
0	8227	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs
(* x 2)
(+ (* x x) (* y y))
(* y y)

Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 y x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y y)))) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (neg.f64 (.f64 y y)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (*.f64 y y))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (-.f64 y x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y))))) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y))))) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 x x (.f64 y y))))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (.f64 (fma.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 y x)))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 y x)))))
(.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (-.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (+.f64 x y) (-.f64 y x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y)))
(neg.f64 (neg.f64 (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y)))

simplify456.0ms (10%)

Memory

-15.8MiB live, 386.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 932×	`-lowering-.f32`
8 932×	`-lowering-.f64`
3 378×	`cube-prod`
2 896×	`/-lowering-/.f32`
2 896×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	216
1	36	216
2	86	216
3	345	216
4	1032	216
5	1931	216
6	2217	216
7	2728	216
8	4036	216
9	5215	216
10	5788	216
11	6199	216
12	6390	216
13	6424	216
14	6424	216
15	7621	216
0	8316	198

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval21.0ms (0.5%)

Memory: 32.8MiB live, 32.8MiB allocated
Compiler: Compiled 10 827 to 487 computations (95.5% saved)

prune31.0ms (0.7%)

Memory

-8.3MiB live, 67.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	216	7	223

Accuracy

100.0%

Counts

223 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
✓	80.5%	(fma.f64 x x (*.f64 y y))
✓	67.9%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	49.9%	(*.f64 y y)
✓	59.1%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	39.9%	(*.f64 x x)
✓	20.6%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 102 to 45 computations (55.9% saved)

regimes21.0ms (0.5%)

Memory

-22.0MiB live, 64.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Outputs
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))

Calls

5 calls:

6.0ms	x
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
100.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes16.0ms (0.4%)

Memory

5.1MiB live, 43.3MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))

Outputs
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 x x (*.f64 y y))

Calls

5 calls:

4.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
97.9%	3	`x`
97.9%	2	`y`
99.6%	3	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
97.9%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
97.9%	2	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes14.0ms (0.3%)

Memory

-1.3MiB live, 35.1MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))

Outputs
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(*.f64 x (+.f64 #s(literal 2 binary64) x))

Calls

5 calls:

4.0ms	x
2.0ms	y
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
92.3%	3	`x`
87.6%	2	`y`
87.6%	2	`(*.f64 y y)`
91.5%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
70.2%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes9.0ms (0.2%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))

Outputs
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 y y)

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
87.6%	2	`y`
87.6%	2	`(*.f64 y y)`
77.3%	3	`x`
76.9%	3	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.2%)

Memory

-15.7MiB live, 22.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)

Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 y y)
(*.f64 x x)

Calls

4 calls:

4.0ms	y
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
76.4%	3	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
78.0%	5	`x`
72.7%	3	`y`
72.6%	3	`(*.f64 y y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)

Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)

Calls

5 calls:

2.0ms	y
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	x
2.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
57.2%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
44.2%	2	`(*.f64 y y)`
44.3%	2	`y`
57.1%	3	`x`
57.1%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes11.0ms (0.2%)

Memory

-18.3MiB live, 20.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))

Outputs
(*.f64 x #s(literal 2 binary64))

Calls

5 calls:

6.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
20.6%	1	`(*.f64 y y)`
20.6%	1	`y`
20.6%	1	`x`
20.6%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
20.6%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	279369482838597820.0	754174912161065500.0
0.0ms	2.7726992215738786e-7	9.756466849134672e-7

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2532279757962627e+94	3.164047175224564e+106

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch16.0ms (0.4%)

Memory

-4.6MiB live, 30.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.2368599144501147e+21	2.8418000565737e+35

Samples

7.0ms

160×

valid

Compiler

Compiled 136 to 103 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (58% of total)

ival-add: 1.0ms (29% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5996550661953222e+139	1.4001276673335945e+147
0.0ms	-7.025528626442594e-156	-2.6232124826625325e-156

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.728031513013022e-5	3404.0046957858412

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify8.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	140
1	40	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 500000000000000000 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 40000000000000000808755165086237879543043852928574309645511074248320160199926572374347913101312 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (.f64 x (+.f64 #s(literal 2 binary64) x)))
(if (<=.f64 (.f64 y y) #s(literal 9500000000000000109051904 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 x #s(literal 2 binary64)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) (.f64 y y) (*.f64 x x)))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 7378697629483821/73786976294838206464 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))

Outputs
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 500000000000000000 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (if (<=.f64 (+.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))) #s(literal 500000000000000000 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 40000000000000000808755165086237879543043852928574309645511074248320160199926572374347913101312 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (.f64 x (+.f64 #s(literal 2 binary64) x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 40000000000000000808755165086237879543043852928574309645511074248320160199926572374347913101312 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 9500000000000000109051904 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 9500000000000000109051904 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 x #s(literal 2 binary64)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) (.f64 y y) (*.f64 x x)))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 7378697629483821/73786976294838206464 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x))
(if (<=.f64 (+.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))) #s(literal 7378697629483821/73786976294838206464 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))

soundness856.0ms (18.8%)

Memory

-7.0MiB live, 513.9MiB allocated

Rules

9 938×	`accelerator-lowering-fma.f32`
9 938×	`accelerator-lowering-fma.f64`
8 808×	`accelerator-lowering-fma.f32`
8 808×	`accelerator-lowering-fma.f64`
6 744×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	550
1	126	550
2	344	502
3	1270	502
4	3602	502
0	8113	468
0	36	298
1	101	298
2	272	298
3	917	298
4	2774	298
5	4851	298
6	7645	298
0	8375	282
0	8	20
1	42	20
2	401	20
3	6135	20
0	8089	19

Stop Event

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

Compiler

Compiled 263 to 114 computations (56.7% saved)

preprocess62.0ms (1.4%)

Memory: -4.7MiB live, 155.8MiB allocated
Remove: (abs y)
Compiler: Compiled 356 to 112 computations (68.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample675.0ms (14.8%)

preprocess33.0ms (0.7%)

explain129.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize34.0ms (0.7%)

series4.0ms (0.1%)

rewrite388.0ms (8.5%)

simplify268.0ms (5.9%)

eval61.0ms (1.3%)

prune31.0ms (0.7%)

simplify5.0ms (0.1%)

localize41.0ms (0.9%)

series4.0ms (0.1%)

rewrite378.0ms (8.3%)

simplify292.0ms (6.4%)

eval149.0ms (3.3%)

prune63.0ms (1.4%)

simplify4.0ms (0.1%)

localize20.0ms (0.4%)

series1.0ms (0%)

rewrite425.0ms (9.3%)

simplify456.0ms (10%)

eval21.0ms (0.5%)

prune31.0ms (0.7%)

regimes21.0ms (0.5%)

regimes16.0ms (0.4%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

soundness856.0ms (18.8%)

preprocess62.0ms (1.4%)

end0.0ms (0%)

Profiling