Metrics for Expression 4, p15

analyze16.0ms (0.3%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.2s (21%)

Memory

-10.0MiB live, 1 355.6MiB allocated

Samples

909.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 680.0ms

ival-add: 274.0ms (40.3% of total)

const: 198.0ms (29.1% of total)

ival-<=: 123.0ms (18.1% of total)

ival-mult: 50.0ms (7.3% of total)

ival-and: 21.0ms (3.1% of total)

exact: 12.0ms (1.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess80.0ms (1.4%)

Memory

-22.4MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Rules

570×	`distribute-rgt-in`
518×	`unsub-neg`
446×	`distribute-lft-in`
286×	`distribute-lft-out`
280×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	210	35
3	533	35
4	1075	35
5	1970	35
6	2756	35
7	2900	35
8	2900	35
9	2900	35
10	2942	35
11	2958	35
0	4	7
1	11	7
2	25	7
3	53	7
4	76	7
5	92	7
6	101	7
7	107	7
0	107	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))

Outputs
(* (+ a b) (+ a b))
(*.f64 (+.f64 a b) (+.f64 a b))

Symmetry

(sort a b)

explain57.0ms (1%)

Memory

6.3MiB live, 82.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 a b)`
-	-	`(*.f64 (+.f64 a b) (+.f64 a b))`
-	-	`a`
-	-	`b`

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

18.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-add: 3.0ms (48.1% of total)

ival-mult: 3.0ms (48.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify7.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) (+.f64 a b))

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
86×	`+-lowering-+.f64`
86×	`+-lowering-+.f32`
48×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	11	12
2	25	12
3	53	12
4	76	12
5	92	12
6	101	12
7	107	12
0	107	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)
a
b

Outputs
(* (+ a b) (+ a b))
(*.f64 (+.f64 a b) (+.f64 a b))
(+ a b)
(+.f64 a b)
a
b

localize14.0ms (0.3%)

Memory

-6.4MiB live, 32.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

10.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 1.0ms (32.9% of total)

ival-mult: 1.0ms (32.9% of total)

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

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

series2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (* (+ a b) (+ a b))>
#<alt (+ a b)>

Outputs
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	inf	(* (+ a b) (+ a b))
0.0ms	a	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	0	(* (+ a b) (+ a b))
0.0ms	b	@	inf	(* (+ a b) (+ a b))

rewrite503.0ms (8.7%)

Memory

8.8MiB live, 877.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
4 194×	`accelerator-lowering-fma.f32`
4 194×	`accelerator-lowering-fma.f64`
3 878×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	218	8
3	2800	8
0	9133	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 989

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)

Outputs
(+.f64 (.f64 a a) (fma.f64 a b (.f64 b (+.f64 a b))))
(+.f64 (.f64 b b) (fma.f64 a b (.f64 a (+.f64 a b))))
(+.f64 (.f64 a b) (fma.f64 a a (.f64 b (+.f64 a b))))
(+.f64 (.f64 a b) (fma.f64 b b (.f64 a (+.f64 a b))))
(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(+.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (.f64 a b))
(+.f64 (fma.f64 a (+.f64 a b) (.f64 a b)) (.f64 b b))
(+.f64 (fma.f64 b (+.f64 a b) (.f64 a b)) (.f64 a a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 a b)) (log.f64 (+.f64 a b))))
(-.f64 (/.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))
(fma.f64 a a (fma.f64 a b (*.f64 b (+.f64 a b))))
(fma.f64 a b (fma.f64 a a (*.f64 b (+.f64 a b))))
(fma.f64 a b (fma.f64 b b (*.f64 a (+.f64 a b))))
(fma.f64 a (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 b a (fma.f64 a a (*.f64 b (+.f64 a b))))
(fma.f64 b a (fma.f64 b b (*.f64 a (+.f64 a b))))
(fma.f64 b b (fma.f64 a b (*.f64 a (+.f64 a b))))
(fma.f64 b (+.f64 a b) (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) a) (.f64 b (+.f64 a b)))
(fma.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) b) (.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 b (fma.f64 a (-.f64 a b) (.f64 b b))) (*.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 a (fma.f64 a (-.f64 a b) (.f64 b b))) (*.f64 b (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a) (*.f64 b (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) b) (*.f64 a (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 b (-.f64 a b)) (.f64 a (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 a (-.f64 a b)) (.f64 b (+.f64 a b)))
(fma.f64 (neg.f64 b) (neg.f64 b) (fma.f64 a b (*.f64 a (+.f64 a b))))
(fma.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) (.f64 a (+.f64 a b)))
(fma.f64 (.f64 b (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 a (+.f64 a b)))
(fma.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) (.f64 b (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) (fma.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 a a (.f64 b (+.f64 a b))) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) (fma.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b) (.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 a a (.f64 b (+.f64 a b))) (.f64 b (+.f64 a b)))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))))) (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 a b)))
(/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))))) (fma.f64 (.f64 b (+.f64 a b)) (-.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (+.f64 a b) (.f64 a (*.f64 a (+.f64 a b))))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))))) (fma.f64 (+.f64 a b) (.f64 b (.f64 b (+.f64 a b))) (-.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 a b)) (.f64 (+.f64 a b) (.f64 (-.f64 a b) (fma.f64 b (.f64 b b) (.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (-.f64 a b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b (+.f64 a b)) (-.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (fma.f64 b (.f64 b b) (.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (+.f64 a b) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(/.f64 (fma.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (fma.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (-.f64 a b) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 b (.f64 (+.f64 a b) (-.f64 a b))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (-.f64 a b) (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (-.f64 a b) (.f64 (-.f64 a b) (.f64 b (.f64 (+.f64 a b) (-.f64 a b))))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 a (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 a a) (-.f64 a b))) (.f64 (/.f64 (.f64 b b) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)))) (fma.f64 a (/.f64 a (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b)))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b)))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))
(/.f64 (exp.f64 (log.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))))) (exp.f64 (log.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (exp.f64 (log.f64 (-.f64 a b))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) (exp.f64 (log.f64 (neg.f64 (-.f64 a b)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (exp.f64 (log.f64 (-.f64 b a))))
(/.f64 (-.f64 (neg.f64 (.f64 a a)) (neg.f64 (.f64 b b))) (neg.f64 (-.f64 a b)))
(pow.f64 (+.f64 a b) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 a b) (+.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 2 binary64))
(.f64 (+.f64 a b) (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (-.f64 a b)))
(.f64 (+.f64 a b) (pow.f64 (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b))) #s(literal 1 binary64)))
(*.f64 (+.f64 a b) (pow.f64 (/.f64 (-.f64 a b) (-.f64 a b)) #s(literal 1 binary64)))
(.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b)))))
(.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (/.f64 (+.f64 a b) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b))))
(*.f64 #s(literal 1 binary64) (+.f64 a b))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) (fma.f64 b (.f64 b b) (.f64 a (*.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b b) (.f64 a (*.f64 a a)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (+.f64 a b)))
(.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) (fma.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))
(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))
(.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 a a (*.f64 b (+.f64 a b))))
(.f64 (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 a b) (fma.f64 a (-.f64 a b) (*.f64 b b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 a b) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (+.f64 a b))
(.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))))
(.f64 (pow.f64 (/.f64 (-.f64 a b) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))))
(.f64 (pow.f64 (/.f64 (-.f64 a b) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(.f64 (exp.f64 (log.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
(.f64 (exp.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (exp.f64 (neg.f64 (log.f64 (-.f64 a b)))))

simplify249.0ms (4.3%)

Memory

-14.6MiB live, 350.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
2 898×	`-lowering-.f32`
2 898×	`-lowering-.f64`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))

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

eval206.0ms (3.6%)

Memory: 37.8MiB live, 343.3MiB allocated
Compiler: Compiled 52 177 to 2 962 computations (94.3% saved)

prune1.3s (23.2%)

Memory

-45.0MiB live, 316.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 149	4	1 153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 149	5	1 154

Accuracy

100.0%

Counts

1 154 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	98.7%	(*.f64 (+.f64 a b) b)
▶	99.6%	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
▶	98.6%	(*.f64 b b)

Compiler

Compiled 40 to 22 computations (45% saved)

simplify28.0ms (0.5%)

Memory

-27.5MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

70×	`accelerator-lowering-fma.f32`
70×	`accelerator-lowering-fma.f64`
40×	`+-lowering-+.f64`
40×	`-lowering-.f32`
40×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	31	55
2	54	55
3	59	55
0	59	49

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* b b)
b
(* b (+ (* 2 a) b))
b
(+ (* 2 a) b)
2
a
(* (+ a b) b)
(+ a b)
a
b
(+ (* b b) (* a (+ (* b 2) a)))
b
(* a (+ (* b 2) a))
a
(+ (* b 2) a)
2

Outputs
(* b b)
(*.f64 b b)
b
(* b (+ (* 2 a) b))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
b
(+ (* 2 a) b)
(fma.f64 #s(literal 2 binary64) a b)
2
#s(literal 2 binary64)
a
(* (+ a b) b)
(*.f64 b (+.f64 b a))
(+ a b)
(+.f64 b a)
a
b
(+ (* b b) (* a (+ (* b 2) a)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) (*.f64 a a))
b
(* a (+ (* b 2) a))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
a
(+ (* b 2) a)
(fma.f64 b #s(literal 2 binary64) a)
2
#s(literal 2 binary64)

localize55.0ms (1%)

Memory

19.9MiB live, 59.3MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

42.0ms

256×

valid

Compiler

Compiled 51 to 15 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 28.0ms (85.9% of total)

ival-add: 5.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.7%)

Memory

-19.4MiB live, 18.6MiB allocated

Counts

8 → 180

Calls

Call 1

Inputs
#<alt (* b b)>
#<alt (* b (+ (* 2 a) b))>
#<alt (+ (* 2 a) b)>
#<alt (* (+ a b) b)>
#<alt (+ a b)>
#<alt (+ (* b b) (* a (+ (* b 2) a)))>
#<alt (* a (+ (* b 2) a))>
#<alt (+ (* b 2) a)>

Outputs
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* 2 (* a b))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt b>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* 2 a)>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (pow b 2)>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (* a b)>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a b)>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* a b)>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* 2 (* a b))>
#<alt (* a (+ a (* 2 b)))>
#<alt (* a (+ a (* 2 b)))>
#<alt (* a (+ a (* 2 b)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (* 2 (* a b))>
#<alt (* b (+ (* 2 a) (/ (pow a 2) b)))>
#<alt (* b (+ (* 2 a) (/ (pow a 2) b)))>
#<alt (* b (+ (* 2 a) (/ (pow a 2) b)))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))>
#<alt a>
#<alt (+ a (* 2 b))>
#<alt (+ a (* 2 b))>
#<alt (+ a (* 2 b))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (/ a b)))>
#<alt (* b (+ 2 (/ a b)))>
#<alt (* b (+ 2 (/ a b)))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -1 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 2)))>
#<alt (* 2 b)>
#<alt (+ a (* 2 b))>
#<alt (+ a (* 2 b))>
#<alt (+ a (* 2 b))>
#<alt a>
#<alt (* a (+ 1 (* 2 (/ b a))))>
#<alt (* a (+ 1 (* 2 (/ b a))))>
#<alt (* a (+ 1 (* 2 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (* -2 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 1)))>

Calls

45 calls:

Time	Variable		Point	Expression
30.0ms	b	@	0	(* a (+ (* b 2) a))
1.0ms	a	@	-inf	(* a (+ (* b 2) a))
1.0ms	a	@	0	(* b (+ (* 2 a) b))
0.0ms	b	@	0	(* b (+ (* 2 a) b))
0.0ms	b	@	-inf	(* b (+ (* 2 a) b))

rewrite589.0ms (10.2%)

Memory

36.8MiB live, 715.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 926×	`accelerator-lowering-fma.f32`
9 926×	`accelerator-lowering-fma.f64`
5 132×	`-lowering-.f32`
5 132×	`-lowering-.f64`
3 270×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	73	46
2	653	46
3	7360	46
0	8220	40

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 438

Calls

Call 1

Inputs
(* b b)
(* b (+ (* 2 a) b))
(+ (* 2 a) b)
(* (+ a b) b)
(+ a b)
(+ (* b b) (* a (+ (* b 2) a)))
(* a (+ (* b 2) a))
(+ (* b 2) a)

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(+.f64 (.f64 b b) (.f64 b (*.f64 #s(literal 2 binary64) a)))
(+.f64 (.f64 b (.f64 #s(literal 2 binary64) a)) (*.f64 b b))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 b b (.f64 b (.f64 #s(literal 2 binary64) a)))
(fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b b))
(fma.f64 (.f64 #s(literal 2 binary64) a) b (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 4 binary64))))))
(/.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 b (.f64 b (.f64 b (.f64 #s(literal 2 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64))))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 b (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b))))))
(/.f64 (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))))) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64)))))
(/.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b)))) (-.f64 (.f64 #s(literal 2 binary64) a) b))
(/.f64 (neg.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 (.f64 b b) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 a (*.f64 a #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (neg.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (neg.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)))))) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (.f64 b (neg.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)))))) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64))))))
(/.f64 (.f64 b (neg.f64 (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (.f64 b (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a)))) (-.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))))) b) (neg.f64 (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64))))))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b)))) b) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a))) b) (-.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (*.f64 a #s(literal 4 binary64))))) b))
(.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)))) (/.f64 b (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (.f64 a #s(literal 4 binary64))))))
(.f64 (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) a) b)) b))
(.f64 (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b))) (/.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64)))))))
(.f64 (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 a (*.f64 a #s(literal 4 binary64))))))
(.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(.f64 (/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))))) (fma.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (.f64 (-.f64 b (.f64 #s(literal 2 binary64) a)) (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64)))) (fma.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (-.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 a (.f64 a #s(literal 4 binary64)))) (.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 16 binary64))))
(.f64 (/.f64 (.f64 b (fma.f64 b (.f64 b b) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))))) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64)) (.f64 (.f64 b b) (.f64 (-.f64 b (.f64 #s(literal 2 binary64) a)) (-.f64 b (.f64 #s(literal 2 binary64) a)))))) (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b)))) (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b)))) (fma.f64 #s(literal 2 binary64) a b))
(.f64 (/.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (neg.f64 b)))) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (.f64 b b)))) (fma.f64 b (fma.f64 #s(literal 2 binary64) a b) (.f64 a (*.f64 a #s(literal 4 binary64)))))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(+.f64 (*.f64 #s(literal 2 binary64) a) b)
(+.f64 (/.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(-.f64 (/.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(-.f64 (/.f64 (.f64 b b) (-.f64 b (.f64 #s(literal 2 binary64) a))) (/.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (-.f64 b (*.f64 #s(literal 2 binary64) a))))
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(fma.f64 a #s(literal 2 binary64) b)
(fma.f64 a (/.f64 (.f64 a #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(fma.f64 (.f64 #s(literal 2 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(fma.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(fma.f64 (.f64 a a) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 a a) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(fma.f64 (.f64 a #s(literal 4 binary64)) (/.f64 a (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (.f64 b (/.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
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(.f64 (/.f64 (.f64 a (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a)))) (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))))))) (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a (+.f64 a (*.f64 b #s(literal -2 binary64))))))
(.f64 (/.f64 (.f64 a (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a))) (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a))) (fma.f64 b #s(literal 2 binary64) a))
(.f64 (/.f64 (.f64 a (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a))) (-.f64 (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))
(+.f64 a (*.f64 b #s(literal 2 binary64)))
(+.f64 (*.f64 b #s(literal 2 binary64)) a)
(+.f64 (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))
(-.f64 (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a))))
(-.f64 (/.f64 (.f64 a a) (+.f64 a (.f64 b #s(literal -2 binary64)))) (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (+.f64 a (*.f64 b #s(literal -2 binary64)))))
(fma.f64 b #s(literal 2 binary64) a)
(fma.f64 b (/.f64 (.f64 b #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 #s(literal 2 binary64) b a)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 b b) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 (.f64 b #s(literal 4 binary64)) (/.f64 b (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a))) (fma.f64 b #s(literal 2 binary64) a) (neg.f64 (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))
(fma.f64 (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (neg.f64 (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))
(neg.f64 (fma.f64 b #s(literal -2 binary64) (neg.f64 a)))
(/.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (*.f64 b #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a)) (-.f64 (.f64 b #s(literal 2 binary64)) a))
(/.f64 (neg.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a)))) (neg.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (*.f64 b #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a))) (neg.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a)))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 512 binary64))) (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))) (fma.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (fma.f64 a a (.f64 #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 (fma.f64 a a (.f64 #s(literal -4 binary64) (.f64 b b))) (+.f64 a (*.f64 b #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))) (-.f64 (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 a (*.f64 a a)))))
(/.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a) (fma.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a a)) (.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 16 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a) (fma.f64 b (.f64 b #s(literal 4 binary64)) (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a) (.f64 a a))) (.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a) (-.f64 (.f64 b #s(literal 2 binary64)) a)))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 512 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 a (.f64 a a))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a a)) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a a)) (-.f64 (.f64 b #s(literal 2 binary64)) a)))
(/.f64 (.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) #s(literal 1 binary64)) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a)) #s(literal 1 binary64)) (-.f64 (*.f64 b #s(literal 2 binary64)) a))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))))) (neg.f64 (neg.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (*.f64 b #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a))))
(/.f64 (neg.f64 (fma.f64 a a (.f64 #s(literal -4 binary64) (.f64 b b)))) (neg.f64 (+.f64 a (*.f64 b #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (fma.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 a (/.f64 a (-.f64 (*.f64 b #s(literal 2 binary64)) a)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))))) (fma.f64 b (/.f64 (.f64 b #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 a (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a)))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))))) (fma.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 64 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))))) (-.f64 (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 a (*.f64 a a))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (fma.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a a)) (.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 16 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (*.f64 a a)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a)) #s(literal -1 binary64))
(.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a))))
(.f64 (fma.f64 b #s(literal 2 binary64) a) (/.f64 (-.f64 (.f64 b #s(literal 2 binary64)) a) (-.f64 (*.f64 b #s(literal 2 binary64)) a)))
(.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))))))
(.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))) (.f64 (fma.f64 b #s(literal 2 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))))))
(.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))) (/.f64 (fma.f64 b #s(literal 2 binary64) a) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (*.f64 b #s(literal -2 binary64)))))))
(.f64 (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) a)))
(.f64 (neg.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))))))
(.f64 (neg.f64 (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) a))))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))))) (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (*.f64 a a)))
(.f64 (fma.f64 a a (.f64 #s(literal -4 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 a (.f64 b #s(literal -2 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a)) (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (*.f64 a a))) (fma.f64 b #s(literal 2 binary64) a))
(.f64 (/.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (fma.f64 (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))) (.f64 a (.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)))) (fma.f64 (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))) (-.f64 (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))) (.f64 b (.f64 b #s(literal 4 binary64)))) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))))))) (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 a a)) (-.f64 (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))

simplify262.0ms (4.6%)

Memory

2.4MiB live, 441.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 614×	`accelerator-lowering-fma.f32`
8 614×	`accelerator-lowering-fma.f64`
3 184×	`-lowering-.f32`
3 184×	`-lowering-.f64`
1 820×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	942
1	332	900
2	902	900
3	2535	900
4	5174	900
0	8041	798

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(pow b 2)
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* a b)
(* b (+ a b))
(* b (+ a b))
(* b (+ a b))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* 2 (* a b))
(* a (+ a (* 2 b)))
(* a (+ a (* 2 b)))
(* a (+ a (* 2 b)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* 2 (* a b)) (pow a 2))
(+ (* 2 (* a b)) (pow a 2))
(* 2 (* a b))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(* 2 (* a b))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
a
(+ a (* 2 b))
(+ a (* 2 b))
(+ a (* 2 b))
(* 2 b)
(* b (+ 2 (/ a b)))
(* b (+ 2 (/ a b)))
(* b (+ 2 (/ a b)))
(* 2 b)
(* -1 (* b (- (* -1 (/ a b)) 2)))
(* -1 (* b (- (* -1 (/ a b)) 2)))
(* -1 (* b (- (* -1 (/ a b)) 2)))
(* 2 b)
(+ a (* 2 b))
(+ a (* 2 b))
(+ a (* 2 b))
a
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (* 2 (/ b a))))
a
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -2 (/ b a)) 1)))

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

eval296.0ms (5.2%)

Memory: -0.4MiB live, 151.6MiB allocated
Compiler: Compiled 15 240 to 1 325 computations (91.3% saved)

prune61.0ms (1.1%)

Memory

-4.3MiB live, 153.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	618	0	618
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	618	5	623

Accuracy

100.0%

Counts

623 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.7%	(*.f64 (+.f64 a b) b)
✓	99.6%	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
✓	98.6%	(*.f64 b b)

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes12.0ms (0.2%)

Memory

-6.9MiB live, 30.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))

Outputs
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))

Calls

4 calls:

4.0ms	b
2.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
100.0%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes9.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (+.f64 a b) (+.f64 a b))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))

Calls

4 calls:

2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
100.0%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes10.0ms (0.2%)

Memory

-15.7MiB live, 21.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))

Outputs
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))

Calls

4 calls:

4.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.6%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)

Outputs
(*.f64 (+.f64 a b) b)

Calls

4 calls:

2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	(+.f64 a b)
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
98.7%	1	`a`
98.7%	1	`b`
98.7%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.7%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes10.0ms (0.2%)

Memory

-41.1MiB live, 15.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b b)

Outputs
(*.f64 b b)

Calls

4 calls:

6.0ms	(+.f64 a b)
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
98.6%	1	`a`
98.6%	1	`b`
98.6%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.6%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

simplify7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	16	30

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (+.f64 a b) b)
(*.f64 b b)

Outputs
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (+.f64 a b) b)
(*.f64 b (+.f64 b a))
(*.f64 b b)

soundness632.0ms (11%)

Memory

-16.8MiB live, 216.6MiB allocated

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
2 898×	`-lowering-.f32`
2 898×	`-lowering-.f64`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 52 to 24 computations (53.8% saved)

preprocess63.0ms (1.1%)

Memory: 34.7MiB live, 113.4MiB allocated
Compiler: Compiled 182 to 84 computations (53.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.3%)

sample1.2s (21%)

preprocess80.0ms (1.4%)

explain57.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize14.0ms (0.3%)

series2.0ms (0%)

rewrite503.0ms (8.7%)

simplify249.0ms (4.3%)

eval206.0ms (3.6%)

prune1.3s (23.2%)

simplify28.0ms (0.5%)

localize55.0ms (1%)

series39.0ms (0.7%)

rewrite589.0ms (10.2%)

simplify262.0ms (4.6%)

eval296.0ms (5.2%)

prune61.0ms (1.1%)

regimes12.0ms (0.2%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

simplify7.0ms (0.1%)

soundness632.0ms (11%)

preprocess63.0ms (1.1%)

end0.0ms (0%)

Profiling