Metrics for Expression 4, p15

analyze18.0ms (0.3%)

Memory

-14.5MiB live, 27.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.2s (21.6%)

Memory

15.3MiB live, 1 458.5MiB allocated

Samples

770.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 509.0ms

ival-add: 197.0ms (38.7% of total)

const: 108.0ms (21.2% of total)

ival-<=: 84.0ms (16.5% of total)

ival-mult: 81.0ms (15.9% of total)

ival-and: 22.0ms (4.3% of total)

exact: 13.0ms (2.6% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess84.0ms (1.5%)

Memory

10.0MiB live, 86.9MiB 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)

explain55.0ms (1%)

Memory

-9.9MiB live, 109.8MiB 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

27.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-add: 3.0ms (46.6% of total)

ival-mult: 3.0ms (46.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify35.0ms (0.6%)

Memory

-20.4MiB live, 19.1MiB 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

localize13.0ms (0.2%)

Memory

32.9MiB live, 32.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

8.0ms

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 (32.6% of total)

ival-mult: 1.0ms (32.6% of total)

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

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

series4.0ms (0.1%)

Memory

-29.7MiB live, 9.3MiB 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	a	@	inf	(* (+ a b) (+ a b))
0.0ms	b	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	0	(* (+ a b) (+ a b))
0.0ms	b	@	inf	(* (+ a b) (+ a b))

rewrite551.0ms (10%)

Memory

9.2MiB live, 715.3MiB 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)))))

simplify240.0ms (4.3%)

Memory

29.2MiB live, 355.8MiB 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)

eval159.0ms (2.9%)

Memory: 17.7MiB live, 358.8MiB allocated
Compiler: Compiled 52 117 to 2 959 computations (94.3% saved)

prune458.0ms (8.3%)

Memory

-15.6MiB live, 277.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 138	3	1 141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 138	4	1 142

Accuracy

100.0%

Counts

1 142 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	99.5%	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
▶	98.3%	(*.f64 b b)

Compiler

Compiled 34 to 17 computations (50% saved)

simplify9.0ms (0.2%)

Memory

-24.8MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a (+.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	384	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
✓	cost-diff	0	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
✓	cost-diff	0	(*.f64 b b)

Rules

124×	`lower-fma.f32`
120×	`lower-fma.f64`
86×	`lower-+.f32`
84×	`lower-+.f64`
46×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
0	17	37
1	33	34
2	56	34
3	77	34
4	100	34
5	115	34
0	115	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.5%)

Memory

24.1MiB live, 60.9MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (70% of total)

ival-add: 3.0ms (23.3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-21.8MiB live, 18.2MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(+ (* (+ a b) b) (* a (+ a b)))
1.0ms	a	@	-inf	(+ (* (+ a b) b) (* a (+ a b)))
1.0ms	a	@	0	(* b (+ (* 2 a) b))
0.0ms	b	@	-inf	(* b (+ (* 2 a) b))
0.0ms	b	@	inf	(* b (+ (* 2 a) b))

rewrite416.0ms (7.5%)

Memory

4.6MiB live, 620.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 278×	`lower-fma.f32`
8 274×	`lower-fma.f64`
4 878×	`lower-*.f32`
4 872×	`lower-*.f64`
3 064×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	17	31
1	65	28
2	539	26
3	7291	26
0	8342	26

Stop Event

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

Counts

6 → 412

Calls

Call 1

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

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

simplify401.0ms (7.3%)

Memory

15.6MiB live, 368.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 726×	`lower-fma.f64`
8 726×	`lower-fma.f32`
2 964×	`lower-*.f64`
2 964×	`lower-*.f32`
1 710×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	660
1	283	660
2	767	660
3	2250	648
4	4688	648
5	7851	648
0	8268	582

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 123

Calls

Call 1

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

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

eval240.0ms (4.4%)

Memory: -18.3MiB live, 147.3MiB allocated
Compiler: Compiled 16 166 to 1 299 computations (92% saved)

prune226.0ms (4.1%)

Memory

19.4MiB live, 177.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	609	1	610
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	609	5	614

Accuracy

100.0%

Counts

614 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (+.f64 a b) b (*.f64 b a))
✓	100.0%	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.5%	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
✓	98.3%	(*.f64 b b)

Compiler

Compiled 44 to 22 computations (50% saved)

simplify16.0ms (0.3%)

Memory

-28.7MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 b a)
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	192	(fma.f64 (+.f64 a b) b (*.f64 b a))

Rules

36×	`lower-fma.f32`
34×	`lower-fma.f64`
34×	`lower-*.f32`
32×	`lower-*.f64`
30×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	13	15
2	20	15
3	27	15
4	38	15
5	44	15
6	45	15
0	45	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

7.0MiB live, 45.9MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-mult: 4.0ms (56.5% of total)

ival-add: 3.0ms (42.4% of total)

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

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

series5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (fma.f64 (+.f64 a b) b (*.f64 b a))>
#<alt (+.f64 a b)>
#<alt (*.f64 b a)>

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

Calls

18 calls:

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

rewrite448.0ms (8.1%)

Memory

-22.8MiB live, 537.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 674×	`lower-fma.f32`
7 672×	`lower-fma.f64`
4 690×	`lower-*.f32`
4 688×	`lower-*.f64`
3 010×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	9	14
1	38	13
2	301	13
3	3835	13
0	8382	13

Stop Event

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

Counts

3 → 189

Calls

Call 1

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

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

simplify258.0ms (4.7%)

Memory

17.7MiB live, 250.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 988×	`lower-fma.f64`
4 988×	`lower-fma.f32`
3 482×	`lower-*.f64`
3 482×	`lower-*.f32`
1 364×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	282
1	124	282
2	296	282
3	884	282
4	2231	282
5	4102	282
6	6714	282
0	8037	264

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 66

Calls

Call 1

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

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

eval34.0ms (0.6%)

Memory: -1.0MiB live, 77.3MiB allocated
Compiler: Compiled 7 555 to 584 computations (92.3% saved)

prune27.0ms (0.5%)

Memory

-8.3MiB live, 69.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	255	5	260

Accuracy

100.0%

Counts

260 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(fma.f64 (+.f64 a b) b (*.f64 b a))
✓	100.0%	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.5%	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
✓	98.3%	(*.f64 b b)

Compiler

Compiled 80 to 34 computations (57.5% saved)

regimes9.0ms (0.2%)

Memory

32.2MiB live, 32.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes10.0ms (0.2%)

Memory

-10.4MiB live, 29.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 a b)
2.0ms	b
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	a

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.9%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes11.0ms (0.2%)

Memory

-26.9MiB live, 21.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	b
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
1.0ms	a

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`b`
99.5%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.5%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB 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:

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

simplify6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	13	26

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness461.0ms (8.4%)

Memory

-22.3MiB live, 251.3MiB allocated

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
5 646×	`lower-*.f32`
5 644×	`lower-*.f64`
4 194×	`lower-fma.f64`

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

Stop Event

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

Compiler

Compiled 53 to 23 computations (56.6% saved)

preprocess63.0ms (1.1%)

Memory: 9.1MiB live, 124.0MiB allocated
Compiler: Compiled 156 to 64 computations (59% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze18.0ms (0.3%)

sample1.2s (21.6%)

preprocess84.0ms (1.5%)

explain55.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.6%)

localize13.0ms (0.2%)

series4.0ms (0.1%)

rewrite551.0ms (10%)

simplify240.0ms (4.3%)

eval159.0ms (2.9%)

prune458.0ms (8.3%)

simplify9.0ms (0.2%)

localize30.0ms (0.5%)

series12.0ms (0.2%)

rewrite416.0ms (7.5%)

simplify401.0ms (7.3%)

eval240.0ms (4.4%)

prune226.0ms (4.1%)

simplify16.0ms (0.3%)

localize18.0ms (0.3%)

series5.0ms (0.1%)

rewrite448.0ms (8.1%)

simplify258.0ms (4.7%)

eval34.0ms (0.6%)

prune27.0ms (0.5%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

simplify6.0ms (0.1%)

soundness461.0ms (8.4%)

preprocess63.0ms (1.1%)

end0.0ms (0%)

Profiling