Metrics for Expression 4, p15

analyze65.0ms (1.2%)

Memory

-15.8MiB live, 27.2MiB 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)

sample1.0s (19.6%)

Memory

30.2MiB live, 1 624.8MiB allocated

Samples

615.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

const: 137.0ms (31.9% of total)

ival-add: 97.0ms (22.6% of total)

ival-<=: 97.0ms (22.6% of total)

ival-mult: 60.0ms (14% of total)

ival-and: 23.0ms (5.3% of total)

exact: 13.0ms (3% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess80.0ms (1.5%)

Memory

21.6MiB live, 61.0MiB 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
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort a b)

explain65.0ms (1.2%)

Memory

-4.0MiB live, 77.3MiB 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

20.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-add: 3.0ms (45.6% of total)

ival-mult: 3.0ms (45.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify8.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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×	`lower-fma.f64`
124×	`lower-fma.f32`
86×	`lower-+.f32`
84×	`lower-+.f64`
50×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	13	12
2	29	12
3	57	12
4	80	12
5	96	12
6	105	12
7	111	12
0	111	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

-16.5MiB live, 21.2MiB 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

20.0ms

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 (32.1% of total)

ival-mult: 1.0ms (32.1% of total)

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

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

series3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 a b) (+.f64 a b))>
#<alt (+.f64 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	b	@	0	(* (+ a b) (+ a b))
0.0ms	a	@	-inf	(* (+ a b) (+ a b))
0.0ms	b	@	inf	(+ a b)

rewrite446.0ms (8.5%)

Memory

-37.3MiB live, 635.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 646×	`lower-*.f32`
5 644×	`lower-*.f64`
4 194×	`lower-fma.f64`
4 194×	`lower-fma.f32`
3 878×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8

Stop Event

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

Counts

2 → 989

Calls

Call 1

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

simplify326.0ms (6.2%)

Memory

-15.0MiB live, 355.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
2 898×	`lower-*.f64`
2 898×	`lower-*.f32`
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 → 42

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)

eval202.0ms (3.9%)

Memory: 28.0MiB live, 332.8MiB allocated
Compiler: Compiled 52 117 to 2 959 computations (94.3% saved)

prune200.0ms (3.8%)

Memory

-23.6MiB live, 347.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1 139	2	1 141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 139	3	1 142

Accuracy

100.0%

Counts

1 142 → 3

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))
▶	98.3%	(*.f64 b b)

Compiler

Compiled 25 to 13 computations (48% saved)

simplify6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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 b b)

Rules

64×	`lower-fma.f32`
60×	`lower-fma.f64`
36×	`lower-*.f32`
32×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
0	12	26
1	21	26
2	38	26
3	52	26
4	55	26
0	55	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.8%)

Memory

-6.3MiB live, 32.3MiB allocated

Localize:

Found 4 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 b b)

Samples

35.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 25.0ms (89.3% of total)

ival-add: 2.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (*.f64 b b)>
#<alt (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))>
#<alt (*.f64 a (fma.f64 b #s(literal 2 binary64) a))>
#<alt (fma.f64 b #s(literal 2 binary64) 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 (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

21 calls:

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

rewrite546.0ms (10.4%)

Memory

25.1MiB live, 540.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 884×	`lower-fma.f32`
6 880×	`lower-fma.f64`
5 052×	`lower-*.f32`
5 048×	`lower-*.f64`
1 890×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	12	22
1	45	22
2	388	22
3	4772	22
0	8222	22

Stop Event

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

Counts

4 → 230

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)
(+.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 b b))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(+.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (fma.f64 b b (*.f64 a a)))
(+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (neg.f64 (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))))
(+.f64 (.f64 b (+.f64 b (.f64 a #s(literal 2 binary64)))) (*.f64 a a))
(+.f64 (fma.f64 b b (.f64 a a)) (.f64 b (*.f64 a #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))))
(-.f64 (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 b b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(fma.f64 b (.f64 a #s(literal 2 binary64)) (fma.f64 b b (.f64 a a)))
(fma.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))) (.f64 a a))
(fma.f64 b (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (neg.f64 (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))))
(fma.f64 (.f64 b b) (/.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (neg.f64 (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))))
(fma.f64 a a (.f64 b (+.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 a (fma.f64 b #s(literal 2 binary64) a) (*.f64 b b))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (fma.f64 b b (.f64 a a)))
(fma.f64 a (exp.f64 (log.f64 (fma.f64 b #s(literal 2 binary64) a))) (*.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 (fma.f64 b #s(literal 2 binary64) a) a (*.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (fma.f64 b b (.f64 a a)))
(fma.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))) a) (*.f64 b b))
(fma.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a))) (/.f64 a (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b b))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (neg.f64 (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))))
(fma.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a)) a) (.f64 b b))
(fma.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a)) (/.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a)) (*.f64 b b))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 b (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (neg.f64 (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))))
(fma.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))) (.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a))))) (.f64 b b))
(fma.f64 (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 (.f64 b #s(literal 2 binary64)) a))) (*.f64 b b))
(fma.f64 (.f64 a #s(literal 2 binary64)) b (fma.f64 b b (.f64 a a)))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (fma.f64 b b (.f64 a a)))
(fma.f64 (.f64 a (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))) (*.f64 b b))
(fma.f64 (.f64 a (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 b b))
(fma.f64 (/.f64 (.f64 a (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (+.f64 a (.f64 b #s(literal -2 binary64)))) (+.f64 a (.f64 b #s(literal -2 binary64)))) (.f64 (.f64 b (.f64 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 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64))) (*.f64 b b))
(fma.f64 (/.f64 (.f64 a (fma.f64 (.f64 b (.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)))))))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 a) (+.f64 a (.f64 b #s(literal -2 binary64))))) (.f64 b b))
(fma.f64 (/.f64 (.f64 a (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a))) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a))) (fma.f64 b #s(literal 2 binary64) a) (.f64 b b))
(fma.f64 (/.f64 (.f64 a (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a))) (-.f64 (.f64 (.f64 b (.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 b b))
(fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (neg.f64 (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))))
(fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a))))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))))) (neg.f64 (/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))))
(fma.f64 (exp.f64 (log.f64 (fma.f64 b #s(literal 2 binary64) a))) a (*.f64 b b))
(neg.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))))) (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (*.f64 b b)))))))
(neg.f64 (/.f64 (.f64 (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (neg.f64 (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a))))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (*.f64 b b))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))))
(/.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (*.f64 b b)))))
(/.f64 (.f64 (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a))))))) (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (*.f64 b b))))))
(/.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))) (neg.f64 (-.f64 (.f64 b b) (.f64 a (fma.f64 b #s(literal 2 binary64) a)))))
(/.f64 (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (pow.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #s(literal 9 binary64))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 b b)))) (fma.f64 (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a))))) (-.f64 (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 b b)) (.f64 (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 b b)))))
(/.f64 (.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a)))))) (-.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (.f64 a (fma.f64 b #s(literal 2 binary64) a))))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (-.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 b b)))) (-.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (.f64 (fma.f64 b #s(literal 2 binary64) a) (.f64 a (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))))))
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(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a)))) (neg.f64 (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (*.f64 b b) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (*.f64 a a))) (fma.f64 b #s(literal -2 binary64) (neg.f64 (neg.f64 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 (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b b))) #s(literal 512 binary64))) (.f64 (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64))) (.f64 (.f64 b (.f64 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 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) #s(literal 64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 a (.f64 a a)))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) #s(literal 64 binary64)) (.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 (.f64 b b) #s(literal 4 binary64) (.f64 a a)) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)))))
(/.f64 (fma.f64 a a (.f64 #s(literal -4 binary64) (.f64 b b))) (+.f64 a (*.f64 b #s(literal -2 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 (.f64 b 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 (.f64 b 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 (.f64 b (.f64 b (.f64 b 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 (.f64 b (.f64 b b)) #s(literal 8 binary64))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) #s(literal 64 binary64))) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) #s(literal 64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 a (.f64 a a))) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (*.f64 b b) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) #s(literal 64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a a) (fma.f64 (.f64 b 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 (.f64 b b) #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 b #s(literal 2 binary64)) a)))
(/.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a))) #s(literal 1 binary64)) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a))))) (neg.f64 (neg.f64 (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (*.f64 b b) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (*.f64 a a)))) (neg.f64 (fma.f64 b #s(literal -2 binary64) (neg.f64 (neg.f64 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 (.f64 (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 (.f64 (/.f64 (.f64 a a) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 a a) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (/.f64 (.f64 a a) (-.f64 (.f64 b #s(literal 2 binary64)) a)))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (fma.f64 (/.f64 (.f64 a a) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 a a) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 a a) (-.f64 (*.f64 b #s(literal 2 binary64)) a))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 b #s(literal 2 binary64)) a))) (.f64 (/.f64 (.f64 a a) (-.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 a 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 (.f64 a 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 (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b b))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))) (fma.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (*.f64 b b))))) #s(literal 64 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) #s(literal 64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (.f64 a (.f64 a a))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) #s(literal 64 binary64)) (.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 (.f64 b 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 (.f64 b 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))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (fma.f64 a a (.f64 #s(literal -4 binary64) (*.f64 b b)))) #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 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(.f64 (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (fma.f64 b #s(literal 2 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))))
(.f64 (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))) (/.f64 (fma.f64 b #s(literal 2 binary64) a) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (*.f64 b b) #s(literal 4 binary64)))))
(.f64 (-.f64 (.f64 (.f64 b 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 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -2 binary64) (neg.f64 (neg.f64 a)))))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 (.f64 b (.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 (.f64 b 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 (.f64 b b) #s(literal 4 binary64)) (.f64 a a)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (*.f64 a a))) (fma.f64 b #s(literal 2 binary64) a))
(.f64 (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 a (.f64 a a))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (+.f64 a (.f64 b #s(literal -2 binary64)))) (+.f64 a (.f64 b #s(literal -2 binary64)))) (.f64 (.f64 b (.f64 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 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 b (.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)))))))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 a) (+.f64 a (*.f64 b #s(literal -2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a a)) (-.f64 (.f64 (.f64 b (.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))))

simplify293.0ms (5.6%)

Memory

4.8MiB live, 432.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 382×	`lower-fma.f64`
9 382×	`lower-fma.f32`
3 624×	`lower-*.f64`
3 624×	`lower-*.f32`
1 104×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	534
1	209	492
2	568	492
3	1670	480
4	3697	480
5	6221	480
0	8035	414

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

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)
(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)
(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)))
(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)))
(* 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)

eval134.0ms (2.6%)

Memory: -8.1MiB live, 103.6MiB allocated
Compiler: Compiled 9 267 to 758 computations (91.8% saved)

prune82.0ms (1.6%)

Memory

-31.9MiB live, 76.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	310	1	311
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	310	4	314

Accuracy

100.0%

Counts

314 → 4

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)))
▶	99.5%	(fma.f64 b b (.f64 a (.f64 b #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.3%	(*.f64 b b)

Compiler

Compiled 35 to 19 computations (45.7% saved)

simplify5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 b #s(literal 2 binary64))
✓	cost-diff	0	(.f64 a (.f64 b #s(literal 2 binary64)))
✓	cost-diff	320	(fma.f64 b b (.f64 a (.f64 b #s(literal 2 binary64))))

Rules

30×	`lower-*.f32`
26×	`lower-*.f64`
18×	`lower-fma.f32`
16×	`lower-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	15	19
2	22	18
3	32	18
4	33	18
0	33	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.5%)

Memory

2.8MiB live, 41.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 9.0ms (83% of total)

ival-add: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (fma.f64 b b (.f64 a (.f64 b #s(literal 2 binary64))))>
#<alt (.f64 a (.f64 b #s(literal 2 binary64)))>
#<alt (*.f64 b #s(literal 2 binary64))>

Outputs
#<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 (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>

Calls

15 calls:

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

rewrite644.0ms (12.3%)

Memory

5.0MiB live, 720.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 034×	`lower-fma.f32`
11 032×	`lower-fma.f64`
4 688×	`lower-*.f32`
4 684×	`lower-*.f64`
3 590×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	29	16
2	207	15
3	2098	15
0	8243	14

Stop Event

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

Counts

3 → 186

Calls

Call 1

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

Outputs
(+.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 b (fma.f64 a #s(literal 2 binary64) b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 (*.f64 a #s(literal 2 binary64)) b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (neg.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) #s(literal -8 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))))) (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) #s(literal -8 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (*.f64 a #s(literal 2 binary64)) b))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 b (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))))))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))))) (fma.f64 b (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))))))) (.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 b (.f64 a (.f64 b a))) (.f64 b (.f64 a (.f64 b a))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))))) (.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))))) (/.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) #s(literal -8 binary64))))) (/.f64 (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (*.f64 b a)))) #s(literal -8 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (fma.f64 b (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))))))))) (/.f64 (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))))) (.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (fma.f64 b (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (*.f64 b b) #s(literal 4 binary64))))))))))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))))))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 b (.f64 a (.f64 b a))) (.f64 b (.f64 a (.f64 b a))))) (.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))))) (.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))))))) (/.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))))) (/.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))))))
(fma.f64 b b (.f64 b (.f64 a #s(literal 2 binary64))))
(fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 b b))
(fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))))
(fma.f64 b (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 b b))
(fma.f64 b (exp.f64 (log.f64 (.f64 a #s(literal 2 binary64)))) (.f64 b b))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 b a) #s(literal 1 binary64)) (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
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(.f64 (-.f64 (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (.f64 (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (-.f64 b (*.f64 a #s(literal 2 binary64))))))))
(.f64 (.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (*.f64 a #s(literal 2 binary64)) b))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))) #s(literal 512 binary64)) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))))
(.f64 (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (*.f64 b a)))) #s(literal -8 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (*.f64 b b) #s(literal 4 binary64)))))))))
(.f64 (.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))))) (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))))) (.f64 b (fma.f64 a #s(literal 2 binary64) b)))
(.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))))) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)) (.f64 (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (fma.f64 b (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b))) (.f64 b (.f64 b (.f64 b b)))))))
(.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 b #s(literal -2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 b #s(literal -2 binary64))) (.f64 b (-.f64 (*.f64 a #s(literal 2 binary64)) b)))))
(.f64 (/.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) #s(literal -8 binary64)))) (fma.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (.f64 b (*.f64 b b)))))
(.f64 (pow.f64 (/.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (fma.f64 (.f64 b b) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))))))))
(.f64 (pow.f64 (/.f64 (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))))) (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))) #s(literal 512 binary64)) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (fma.f64 (.f64 b b) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b a) (.f64 b (.f64 a (.f64 b a)))) #s(literal -8 binary64)))))
(exp.f64 (log.f64 (.f64 b (.f64 a #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 b (.f64 a #s(literal 2 binary64)))
(.f64 b (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 b (exp.f64 (log.f64 (.f64 a #s(literal 2 binary64)))))
(.f64 a (.f64 b #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 b a))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 b a) #s(literal 1 binary64)))
(.f64 (.f64 b #s(literal 2 binary64)) a)
(.f64 (.f64 b a) #s(literal 2 binary64))
(.f64 (.f64 a #s(literal 2 binary64)) b)
(.f64 (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b)
(.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 b a) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (exp.f64 (log.f64 (.f64 b #s(literal 2 binary64)))) (exp.f64 (log.f64 a)))
(.f64 (exp.f64 (log.f64 (.f64 b a))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 (.f64 b #s(literal 2 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 a #s(literal 2 binary64)))) b)
(.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 (.f64 b a))))
(*.f64 b #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) b)

simplify393.0ms (7.5%)

Memory

-1.0MiB live, 234.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 314×	`lower-fma.f64`
4 314×	`lower-fma.f32`
3 424×	`lower-*.f64`
3 424×	`lower-*.f32`
1 478×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	306
1	75	306
2	187	306
3	449	306
4	1285	306
5	2343	306
6	4399	306
7	6999	306
0	8166	288

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval52.0ms (1%)

Memory: -7.0MiB live, 72.0MiB allocated
Compiler: Compiled 11 798 to 534 computations (95.5% saved)

prune26.0ms (0.5%)

Memory

18.5MiB live, 56.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	246	4	250

Accuracy

100.0%

Counts

250 → 4

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)))
✓	99.5%	(fma.f64 b b (.f64 a (.f64 b #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.3%	(*.f64 b b)

Compiler

Compiled 64 to 31 computations (51.6% saved)

regimes13.0ms (0.2%)

Memory

-17.1MiB live, 21.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

6.0ms	(*.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)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

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)

regimes25.0ms (0.5%)

Memory

-26.5MiB live, 12.1MiB 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:

21.0ms	b
1.0ms	a
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	(+.f64 a b)

Results

Accuracy	Segments	Branch
98.3%	1	`a`
98.3%	1	`b`
98.3%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.3%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

simplify5.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	11	19

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 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 b)

soundness426.0ms (8.1%)

Memory

-15.8MiB live, 144.9MiB allocated

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
2 898×	`lower-*.f64`
2 898×	`lower-*.f32`
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 26 to 12 computations (53.8% saved)

preprocess54.0ms (1%)

Memory: 5.4MiB live, 120.7MiB allocated
Compiler: Compiled 138 to 66 computations (52.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze65.0ms (1.2%)

sample1.0s (19.6%)

preprocess80.0ms (1.5%)

explain65.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize25.0ms (0.5%)

series3.0ms (0.1%)

rewrite446.0ms (8.5%)

simplify326.0ms (6.2%)

eval202.0ms (3.9%)

prune200.0ms (3.8%)

simplify6.0ms (0.1%)

localize42.0ms (0.8%)

series6.0ms (0.1%)

rewrite546.0ms (10.4%)

simplify293.0ms (5.6%)

eval134.0ms (2.6%)

prune82.0ms (1.6%)

simplify5.0ms (0.1%)

localize24.0ms (0.5%)

series6.0ms (0.1%)

rewrite644.0ms (12.3%)

simplify393.0ms (7.5%)

eval52.0ms (1%)

prune26.0ms (0.5%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes25.0ms (0.5%)

simplify5.0ms (0.1%)

soundness426.0ms (8.1%)

preprocess54.0ms (1%)

end0.0ms (0%)

Profiling