Metrics for Complex division, real part

analyze26.0ms (0.2%)

Memory

-25.7MiB live, 52.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.4s (13%)

Memory

57.5MiB live, 876.5MiB allocated

Samples

912.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 632.0ms

ival-mult: 395.0ms (62.5% of total)

ival-add: 136.0ms (21.5% of total)

ival-div: 93.0ms (14.7% of total)

ival-true: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess395.0ms (3.8%)

Memory

-32.5MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 210×	`times-frac`
1 210×	`div-sub`
1 068×	`distribute-rgt-in`
1 028×	`distribute-lft-in`
988×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	218
1	132	210
2	209	210
3	377	210
4	914	210
5	2299	210
6	3076	210
7	3886	210
8	4759	210
9	5156	210
10	5284	210
11	5444	210
12	5444	210
13	5480	210
14	5496	210
15	5496	210
16	5856	210
17	6830	210
18	6982	210
19	6994	210
20	6998	210
21	7006	210
22	7014	210
23	7014	210
24	7122	210
25	7170	210
26	7170	210
0	11	15
0	18	15
1	22	15
0	22	13

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

explain373.0ms (3.6%)

Memory

10.1MiB live, 88.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
106	-	-	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
3	-	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	-	`a`
0	-	-	`d`
0	-	-	`(*.f64 d d)`
0	-	-	`(*.f64 c c)`
0	-	-	`(*.f64 a c)`
0	-	-	`c`
0	-	-	`b`
0	-	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	53	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	65
↳	`(*.f64 a c)`	overflow	34
↳	`(*.f64 b d)`	overflow	36
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	109
↳	`(*.f64 c c)`	overflow	64
↳	`(*.f64 d d)`	overflow	62
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	34	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	109
↳	`(*.f64 c c)`	overflow	64
↳	`(*.f64 d d)`	overflow	62
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	12	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	65
↳	`(*.f64 a c)`	overflow	34
↳	`(*.f64 b d)`	overflow	36
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	5	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	10
↳	`(*.f64 c c)`	underflow	61
↳	`(*.f64 d d)`	underflow	56
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	3	0
↳	`(*.f64 a c)`	overflow	34
↳	`(*.f64 b d)`	overflow	36
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	2	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	2
↳	`(*.f64 a c)`	underflow	25
↳	`(*.f64 b d)`	underflow	30

Confusion

	Predicted +	Predicted -
+	106	0
-	0	150

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	106	0	0
-	0	0	150

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	150
1	103
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (61% of total)

ival-add: 4.0ms (20.3% of total)

ival-div: 3.0ms (15.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify5.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	cost-diff	128	(+.f64 (.f64 c c) (.f64 d d))
✓	cost-diff	128	(+.f64 (.f64 a c) (.f64 b d))

Rules

12×	`lower-fma.f64`
12×	`lower-fma.f32`
12×	`lower-*.f32`
8×	`lift-*.f64`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	18	45
1	22	45
0	22	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(fma.f64 a c (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (.f64 c c) (.f64 d d))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
(*.f64 d d)

localize29.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.0%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	60.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

18.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (61.9% of total)

ival-add: 2.0ms (20.6% of total)

ival-div: 1.0ms (10.3% of total)

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

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

series43.0ms (0.4%)

Memory

-31.6MiB live, 9.5MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 c c) (.f64 d d))>
#<alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))>
#<alt (*.f64 a c)>
#<alt (*.f64 b d)>

Outputs
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>

Calls

42 calls:

Time	Variable		Point	Expression
20.0ms	b	@	inf	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
10.0ms	d	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.0ms	c	@	0	(* a c)
1.0ms	c	@	inf	(+ (* c c) (* d d))
1.0ms	a	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify629.0ms (6%)

Memory

14.5MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 676×	`lower-fma.f64`
7 676×	`lower-fma.f32`
4 326×	`lower-*.f64`
4 326×	`lower-*.f32`
1 822×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1892	1394
3	5763	1392
0	8185	1262

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)

Outputs
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (.f64 d (.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (.f64 d d)) (.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (.f64 d (.f64 d d)))) c)) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (.f64 b d) (/.f64 (fma.f64 b (/.f64 (.f64 d (.f64 d d)) c) (.f64 a (*.f64 d d))) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (.f64 b d) (/.f64 (fma.f64 b (/.f64 (.f64 d (.f64 d d)) c) (.f64 a (*.f64 d d))) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (.f64 c c)) (.f64 a (/.f64 d (.f64 c (.f64 c c))))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (.f64 c c)) (.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (.f64 c (.f64 c c)))) d)) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (.f64 a (.f64 c c)) d) (.f64 b (.f64 c c))) d) (*.f64 a c)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (.f64 a (.f64 c c)) d) (.f64 b (.f64 c c))) d) (*.f64 a c)) d)) d)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)

rewrite299.0ms (2.8%)

Memory

18.0MiB live, 561.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 970×	`lower-fma.f64`
5 970×	`lower-fma.f32`
5 332×	`lower-*.f32`
5 324×	`lower-*.f64`
2 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	35
1	58	35
2	435	35
3	5073	35
0	8760	31

Stop Event

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

Counts

5 → 346

Calls

Call 1

Inputs
(+.f64 (.f64 a c) (.f64 b d))
(+.f64 (.f64 c c) (.f64 d d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(*.f64 a c)
(*.f64 b d)

Outputs
(+.f64 (.f64 a c) (.f64 b d))
(+.f64 (.f64 b d) (.f64 a c))
(+.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d)))))
(+.f64 (neg.f64 (.f64 b (neg.f64 d))) (neg.f64 (.f64 a (neg.f64 c))))
(+.f64 (neg.f64 (.f64 a (neg.f64 c))) (neg.f64 (.f64 b (neg.f64 d))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 b d (.f64 a (neg.f64 c)))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b d (.f64 a (neg.f64 c)))))
(fma.f64 a c (*.f64 b d))
(fma.f64 a (/.f64 (.f64 a (.f64 c c)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 c a (*.f64 b d))
(fma.f64 c (/.f64 (.f64 a (.f64 a c)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d))
(fma.f64 (.f64 a c) (/.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c))
(fma.f64 (.f64 c c) (/.f64 (.f64 a a) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d)))))
(fma.f64 (.f64 a a) (/.f64 (.f64 c c) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 c c)) (/.f64 a (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (.f64 a (.f64 a c)) (/.f64 c (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 a c (.f64 b d)) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 (.f64 b d) (fma.f64 a c (.f64 b d)))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 b d))
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 a c))
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))
(/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (.f64 a (neg.f64 c))) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (neg.f64 (neg.f64 (-.f64 (.f64 a c) (.f64 b d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))))
(/.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c)))) (fma.f64 b d (.f64 a (neg.f64 c))))
(/.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (*.f64 d d)))))))
(/.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c))))))))
(/.f64 (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c)))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c)))))) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(/.f64 (.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c)))) #s(literal 1 binary64)) (fma.f64 b d (*.f64 a (neg.f64 c))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))))) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))))) (neg.f64 (neg.f64 (-.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c))))) (neg.f64 (fma.f64 b d (.f64 a (neg.f64 c)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d)))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d)))) (.f64 (.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d)))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))) (.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 a (.f64 a (.f64 c c))) (-.f64 (.f64 a c) (.f64 b d)))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (.f64 b (.f64 b (.f64 d d))) (-.f64 (.f64 a c) (*.f64 b d)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))))) (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c)))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (*.f64 d d))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 (.f64 b (.f64 b (.f64 d d))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c)))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 b (.f64 b (.f64 d d)))))
(pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b d (.f64 a (neg.f64 c))) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 a (neg.f64 c))))) #s(literal -1 binary64))
(.f64 (fma.f64 a c (.f64 b d)) #s(literal 1 binary64))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 (fma.f64 a c (.f64 b d)) (.f64 (-.f64 (.f64 a c) (.f64 b d)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (*.f64 b d)))))
(.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))))
(.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d)))))))
(.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d)))
(.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (*.f64 b d))))
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(.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (*.f64 d d))))
(.f64 (.f64 (+.f64 c d) (-.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))))
(.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c c (.f64 d d)) (-.f64 (.f64 a c) (*.f64 b d)))))
(.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (fma.f64 a c (*.f64 b d)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (neg.f64 (fma.f64 a c (*.f64 b d))))
(.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 c c (.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d)))))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (.f64 (+.f64 c d) (-.f64 c d)))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (.f64 (fma.f64 a c (.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d)))))))
(.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (/.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (.f64 b d)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)))))) (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)))
(.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))))
(.f64 (/.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (neg.f64 (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d))))))
(.f64 (/.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (.f64 (+.f64 c d) (-.f64 c d))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (neg.f64 (fma.f64 c (.f64 c (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)))))) (neg.f64 (fma.f64 d (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 (+.f64 c d) (-.f64 c d))))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (neg.f64 (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (.f64 (+.f64 c d) (-.f64 c d))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 d c)))) (.f64 (+.f64 c d) (-.f64 d c)))
(.f64 (/.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 c c (.f64 d d))) (fma.f64 (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))) (.f64 (.f64 (fma.f64 b d (.f64 a (neg.f64 c))) (fma.f64 b d (.f64 a (neg.f64 c)))) (fma.f64 b d (.f64 a (neg.f64 c)))) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 a (.f64 a (.f64 c c))))))) (fma.f64 (.f64 b (.f64 d (fma.f64 b d (.f64 a (neg.f64 c))))) (-.f64 (.f64 b (.f64 d (fma.f64 b d (.f64 a (neg.f64 c))))) (.f64 a (.f64 a (.f64 c c)))) (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c)))))))
(.f64 (/.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d))))) (fma.f64 c c (.f64 d d))) (.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (.f64 d d)))) (-.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 b (.f64 d (fma.f64 b d (.f64 a (neg.f64 c)))))))) (-.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 b (.f64 d (fma.f64 b d (.f64 a (neg.f64 c)))))))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (fma.f64 a c (*.f64 b d)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d))) (fma.f64 c c (.f64 d d))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 (.f64 b d) (.f64 b (.f64 b (.f64 d d)))))) (fma.f64 a (.f64 a (.f64 c c)) (.f64 (.f64 b d) (fma.f64 a c (*.f64 b d)))))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (.f64 (log.f64 (.f64 a c)) #s(literal 1 binary64)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(*.f64 c a)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) c)
(exp.f64 (log.f64 (*.f64 b d)))
(exp.f64 (.f64 (log.f64 (.f64 b d)) #s(literal 1 binary64)))
(pow.f64 (*.f64 b d) #s(literal 1 binary64))
(*.f64 b d)
(*.f64 d b)
(*.f64 d (exp.f64 (log.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) d)

eval72.0ms (0.7%)

Memory: -3.5MiB live, 200.1MiB allocated
Compiler: Compiled 17 707 to 1 042 computations (94.1% saved)

prune68.0ms (0.6%)

Memory

-4.1MiB live, 199.0MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	501	13	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	502	13	515

Accuracy

99.7%

Counts

515 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.2%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d))))
▶	59.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
	59.9%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
	47.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
	52.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	56.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	49.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
	45.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c))
▶	41.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
	33.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Compiler

Compiled 394 to 234 computations (40.6% saved)

simplify170.0ms (1.6%)

Memory

14.0MiB live, 173.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a c (*.f64 b d))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d))))
✓	cost-diff	832	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	cost-diff	128	(+.f64 (.f64 a c) (.f64 b d))
✓	cost-diff	0	(fma.f64 d d (*.f64 c c))
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
✓	cost-diff	0	(/.f64 a c)
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	cost-diff	0	(*.f64 d d)
✓	cost-diff	0	(fma.f64 c c (*.f64 d d))
✓	cost-diff	0	(/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d))))

Rules

1 584×	`lower-fma.f32`
1 578×	`lower-fma.f64`
1 200×	`times-frac`
1 120×	`lower-*.f32`
1 110×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	241
0	50	238
1	74	236
2	155	232
3	464	232
4	1032	232
5	2005	232
6	3038	232
7	3751	232
8	4364	232
9	4913	232
10	5039	232
11	5189	232
12	5488	232
13	5520	232
14	5520	232
15	5520	232
0	5520	232

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d))))
(/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 d d (.f64 c c)))
#s(literal 1 binary64)
(/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d)))
(/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 c a (.f64 d b)))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
c
(*.f64 d d)
d
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 d b))
a
(*.f64 b d)
(*.f64 d b)
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
a
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))))
(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
(/.f64 (.f64 d b) (fma.f64 d d (.f64 c c)))
(*.f64 b d)
(*.f64 d b)
b
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 d d (.f64 c c)))
#s(literal -1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d))))
(/.f64 (neg.f64 (fma.f64 d d (.f64 c c))) (fma.f64 c a (.f64 d b)))
(/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
#s(literal 1 binary64)
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 d b))
a
c
(*.f64 b d)
(*.f64 d b)
b
d
(neg.f64 (fma.f64 c c (*.f64 d d)))
(neg.f64 (fma.f64 d d (*.f64 c c)))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 d d)

localize92.0ms (0.9%)

Memory

-11.2MiB live, 234.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
✓	accuracy	60.8%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d))))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.0%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	60.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	accuracy	58.6%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	69.4%	(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
✓	accuracy	61.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d))))
✓	accuracy	60.9%	(/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d)))

Samples

54.0ms

256×

valid

Compiler

Compiled 244 to 24 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 19.0ms (53.8% of total)

ival-div: 11.0ms (31.2% of total)

ival-add: 3.0ms (8.5% of total)

ival-neg: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.4%)

Memory

-10.3MiB live, 109.5MiB allocated

Counts

19 → 684

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d))))>
#<alt (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 b d)))>
#<alt (fma.f64 c c (*.f64 d d))>
#<alt (*.f64 d d)>
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))>
#<alt (/.f64 a c)>
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))>
#<alt (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))>
#<alt (*.f64 b d)>
#<alt (fma.f64 d d (*.f64 c c))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))>
#<alt (*.f64 a c)>
#<alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))>
#<alt (fma.f64 a c (*.f64 b d))>
#<alt (*.f64 c c)>
#<alt #s(approx (+ (* c c) (* d d)) (*.f64 d d))>

Outputs
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ d b)>
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))>
#<alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (/ c a)>
#<alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))>
#<alt (* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (/ c a)>
#<alt (* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (/ d b)>
#<alt (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))>
#<alt (* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (/ d b)>
#<alt (* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
#<alt (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)>
#<alt (/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)>
#<alt (/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
#<alt (/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)>
#<alt (/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)>
#<alt (/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
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#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d)))>
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2))))>
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (* a (+ (* -1 (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))))>
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (* a (+ (* a (+ (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))) (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))))>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c)))>
#<alt (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)>
#<alt (/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)>
#<alt (/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (+ (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))) (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))))) a)>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c)))>
#<alt (* -1 (/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a))>
#<alt (* -1 (/ (+ c (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a)) (/ (pow d 2) c))) a))>
#<alt (* -1 (/ (+ c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4)))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a)) (/ (pow d 2) c))) a))>
#<alt (* -1 (/ d b))>
#<alt (+ (* -1 (/ d b)) (/ (* a c) (pow b 2)))>
#<alt (+ (* -1 (/ d b)) (* c (+ (* -1 (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (/ a (pow b 2)))))>
#<alt (+ (* -1 (/ d b)) (* c (+ (* c (+ (* -1 (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d)))) (/ a (pow b 2)))))>
#<alt (* -1 (/ c a))>
#<alt (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))>
#<alt (* c (- (+ (* -1 (/ (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (pow c 2))) (/ (* b d) (* (pow a 2) c))) (/ 1 a)))>
#<alt (* c (- (+ (* -1 (/ (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (pow c 2))) (+ (/ (* b d) (* (pow a 2) c)) (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3))))) (/ 1 a)))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (+ (* -1 (/ (pow d 2) (* a c))) (/ (* b d) (pow a 2))) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c))) c)) (/ 1 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c)))>
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2))))>
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (* b (+ (* -1 (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3)))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))))>
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (* b (+ (* b (+ (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))) (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))))>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d)))>
#<alt (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)>
#<alt (/ (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)>
#<alt (/ (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (+ (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))) (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))))) b)>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d)))>
#<alt (* -1 (/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b))>
#<alt (* -1 (/ (+ d (+ (* -1 (/ (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b)) (/ (pow c 2) d))) b))>
#<alt (* -1 (/ (+ d (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4)))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b)) (/ (pow c 2) d))) b))>
#<alt (* -1 (/ c a))>
#<alt (+ (* -1 (/ c a)) (/ (* b d) (pow a 2)))>
#<alt (+ (* -1 (/ c a)) (* d (+ (* -1 (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (/ b (pow a 2)))))>
#<alt (+ (* -1 (/ c a)) (* d (+ (* d (+ (* -1 (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c)))) (/ b (pow a 2)))))>
#<alt (* -1 (/ d b))>
#<alt (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))>
#<alt (* d (- (+ (* -1 (/ (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (pow d 2))) (/ (* a c) (* (pow b 2) d))) (/ 1 b)))>
#<alt (* d (- (+ (* -1 (/ (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (pow d 2))) (+ (/ (* a c) (* (pow b 2) d)) (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3))))) (/ 1 b)))>
#<alt (* -1 (/ d b))>
#<alt (* -1 (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))))>
#<alt (* -1 (* d (+ (* -1 (/ (- (+ (* -1 (/ (pow c 2) (* b d))) (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) d)) (/ 1 b))))>
#<alt (* -1 (* d (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (/ 1 (* b d))>
#<alt (+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d)))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) (pow d 3))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 2) (* (pow b 3) (pow d 3)))))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))>
#<alt (/ 1 (* a c))>
#<alt (/ (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)) a)>
#<alt (/ (- (+ (/ 1 c) (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2))))) a)>
#<alt (/ 1 (* a c))>
#<alt (* -1 (/ (- (/ (* b d) (* a (pow c 2))) (/ 1 c)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a (pow c 3))) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 2)) (pow c 3))) a)) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (/ 1 (* b d))>
#<alt (+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d)))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))>
#<alt (/ 1 (* a c))>
#<alt (/ (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)) c)>
#<alt (/ (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))) c)>
#<alt (/ 1 (* a c))>
#<alt (* -1 (/ (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (/ 1 (* a c))>
#<alt (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))>
#<alt (+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) (pow c 3))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 2) (* (pow a 3) (pow c 3)))))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (/ 1 (* b d))>
#<alt (/ (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)) b)>
#<alt (/ (- (+ (/ 1 d) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 4)))) (/ 1 d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2))))) b)>
#<alt (/ 1 (* b d))>
#<alt (* -1 (/ (- (/ (* a c) (* b (pow d 2))) (/ 1 d)) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b (pow d 3))) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 2)) (pow d 3))) b)) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b))>
#<alt (/ 1 (* a c))>
#<alt (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))>
#<alt (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (/ 1 (* b d))>
#<alt (/ (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d)>
#<alt (/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d)>
#<alt (/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d)>
#<alt (/ 1 (* b d))>
#<alt (* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>

Calls

171 calls:

Time	Variable		Point	Expression
4.0ms	c	@	0	(/ (* b d) (+ (* d d) (* c c)))
2.0ms	a	@	inf	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
2.0ms	a	@	inf	(* (/ 1 (+ (* a c) (* b d))) (neg (+ (* c c) (* d d))))
1.0ms	c	@	-inf	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
1.0ms	b	@	0	(/ (* b d) (+ (* d d) (* c c)))

simplify354.0ms (3.4%)

Memory

36.6MiB live, 700.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 174×	`lower-fma.f64`
7 174×	`lower-fma.f32`
6 102×	`lower-*.f64`
6 102×	`lower-*.f32`
3 936×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	936	11527
1	3205	11223
0	8111	10514

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
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(+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ 1 (* b d))
(/ (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d)
(/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d)
(/ 1 (* b d))
(* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))

Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (.f64 d d)) (/.f64 (.f64 b c) (.f64 d (.f64 d d)))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (.f64 (.f64 d d) (.f64 d d))) (/.f64 b (.f64 d (.f64 d d))))) (/.f64 a (.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (fma.f64 b (/.f64 d c) (fma.f64 (neg.f64 a) (/.f64 (.f64 d d) (.f64 c c)) a)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))) (fma.f64 b (/.f64 d c) a)) (/.f64 (.f64 a (.f64 d d)) (*.f64 c c))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b d) (.f64 a (/.f64 (*.f64 d d) c))) (neg.f64 c)) a) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (fma.f64 b d (/.f64 (fma.f64 b (/.f64 (.f64 d (.f64 d d)) c) (.f64 a (.f64 d d))) (neg.f64 c))) c)) (neg.f64 c))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (.f64 c c)) (/.f64 (.f64 d a) (.f64 c (.f64 c c)))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (.f64 (.f64 c c) (.f64 c c))) (/.f64 a (.f64 c (.f64 c c))))) (/.f64 b (.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (fma.f64 a (/.f64 c d) (fma.f64 (neg.f64 b) (/.f64 (.f64 c c) (.f64 d d)) b)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 (fma.f64 a (/.f64 c d) (fma.f64 (neg.f64 a) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) b)) (/.f64 (.f64 b (.f64 c c)) (*.f64 d d))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (.f64 a c) (/.f64 (.f64 b (*.f64 c c)) d)) d)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 a c (/.f64 (fma.f64 a (/.f64 (.f64 c (.f64 c c)) d) (.f64 b (.f64 c c))) (neg.f64 d))) d)) (neg.f64 d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(.f64 a (fma.f64 b (/.f64 d (.f64 a (fma.f64 d d (.f64 c c)))) (/.f64 c (fma.f64 d d (.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(.f64 a (fma.f64 b (/.f64 d (.f64 a (fma.f64 d d (.f64 c c)))) (/.f64 c (fma.f64 d d (.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(.f64 a (fma.f64 b (/.f64 d (.f64 a (fma.f64 d d (.f64 c c)))) (/.f64 c (fma.f64 d d (.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d (.f64 a (fma.f64 d d (.f64 c c)))) (/.f64 c (fma.f64 d d (.f64 c c))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d (.f64 a (fma.f64 d d (.f64 c c)))) (/.f64 c (fma.f64 d d (.f64 c c))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d (.f64 a (fma.f64 d d (.f64 c c)))) (/.f64 c (fma.f64 d d (.f64 c c))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(.f64 b (fma.f64 a (/.f64 c (.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 d (fma.f64 d d (.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(.f64 b (fma.f64 a (/.f64 c (.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 d (fma.f64 d d (.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(.f64 b (fma.f64 a (/.f64 c (.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 d (fma.f64 d d (.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 d (fma.f64 d d (.f64 c c))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 d (fma.f64 d d (.f64 c c))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 d (fma.f64 d d (.f64 c c))))))
(/ d b)
(/.f64 d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(-.f64 (/.f64 d b) (/.f64 (.f64 a c) (.f64 b b)))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b d)) (/.f64 (.f64 a a) (.f64 d (.f64 b (.f64 b b))))) (neg.f64 (/.f64 a (.f64 b b)))) (/.f64 d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 c (-.f64 (.f64 c (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b d)) (/.f64 (.f64 (.f64 a c) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b d)) (/.f64 (.f64 a a) (.f64 d (.f64 b (.f64 b b)))))) (.f64 b d))) (/.f64 (.f64 a a) (.f64 d (.f64 b (.f64 b b)))))) (/.f64 a (*.f64 b b))) (/.f64 d b))
(/ c a)
(/.f64 c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(.f64 c (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 b d) (.f64 c (.f64 a a)))))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(.f64 c (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 d d) (.f64 a (.f64 c c)))) (-.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (/.f64 (.f64 (.f64 d d) (.f64 b b)) (.f64 (.f64 c c) (.f64 a (.f64 a a)))))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(.f64 c (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 d d) (.f64 a (.f64 c c)))) (/.f64 (.f64 (.f64 b d) (+.f64 (/.f64 (.f64 d d) a) (/.f64 (.f64 (.f64 d d) (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 a (.f64 c (.f64 c c))))) (-.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (/.f64 (.f64 (.f64 d d) (.f64 b b)) (.f64 (.f64 c c) (.f64 a (*.f64 a a)))))))
(/ c a)
(/.f64 c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(neg.f64 (.f64 c (fma.f64 b (/.f64 d (.f64 c (*.f64 a a))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(neg.f64 (.f64 c (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (.f64 d d) (.f64 a (neg.f64 c))) (/.f64 (.f64 (.f64 d d) (.f64 b b)) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b d) (*.f64 a a)))) (neg.f64 c)) (/.f64 #s(literal -1 binary64) a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 b (/.f64 (.f64 d (-.f64 (neg.f64 (/.f64 (.f64 d d) a)) (/.f64 (.f64 (.f64 d d) (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 a c)) (/.f64 (.f64 d d) a))) (/.f64 (.f64 (.f64 d d) (.f64 b b)) (.f64 a (.f64 a a)))) (neg.f64 c)) (/.f64 (.f64 b d) (*.f64 a a))) (neg.f64 c)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 c))
(/ c a)
(/.f64 c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(-.f64 (/.f64 c a) (/.f64 (.f64 b d) (.f64 a a)))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (-.f64 (.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 b (*.f64 a a))) (/.f64 c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (fma.f64 d (fma.f64 (neg.f64 b) (/.f64 (.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (.f64 a c)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 b (neg.f64 (*.f64 a a)))) (/.f64 c a))
(/ d b)
(/.f64 d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(.f64 d (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 a c) (.f64 d (.f64 b b)))))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(.f64 d (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 c c) (.f64 b (.f64 d d)))) (-.f64 (/.f64 (.f64 a c) (.f64 d (.f64 b b))) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 d d) (.f64 b (.f64 b b)))))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(.f64 d (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 c c) (.f64 b (.f64 d d)))) (/.f64 (.f64 (.f64 a c) (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b b))))) (.f64 b (.f64 d (.f64 d d))))) (-.f64 (/.f64 (.f64 a c) (.f64 d (.f64 b b))) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 d d) (.f64 b (*.f64 b b)))))))
(/ d b)
(/.f64 d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(.f64 (fma.f64 a (/.f64 c (.f64 d (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
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(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d a) c)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d a) c)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d a) c)))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 b (/.f64 d c) a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 b (/.f64 d c) a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 b (/.f64 d c) a))))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 c c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 c c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 c c))))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 c c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 c c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 c c))))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (.f64 d d))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (.f64 d d))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (.f64 d d))))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (.f64 d d))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (.f64 d d))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (.f64 d d))))

rewrite572.0ms (5.4%)

Memory

-27.5MiB live, 930.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 954×	`lower-fma.f32`
7 948×	`lower-fma.f64`
6 192×	`lower-*.f32`
6 182×	`lower-*.f64`
3 300×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	187
0	50	180
1	158	178
2	1094	178
0	8448	178

Stop Event

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

Counts

19 → 2 267

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 c a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))))
(+.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d)))))
(+.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (.f64 (.f64 a (neg.f64 c)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (.f64 c a)) (/.f64 (.f64 d b) (fma.f64 c c (*.f64 d d))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))) (/.f64 (.f64 d b) (fma.f64 c c (*.f64 d d))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (.f64 b (neg.f64 d))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (.f64 a (neg.f64 c))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (.f64 a (neg.f64 c))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))) (.f64 b (neg.f64 d))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c))))) (.f64 (.f64 c c) (.f64 c c))) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c))))) (.f64 d (.f64 d (.f64 (+.f64 d c) (-.f64 d c))))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c))))) (.f64 d (.f64 d (.f64 (+.f64 d c) (-.f64 d c))))) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c))))) (.f64 (.f64 c c) (.f64 c c))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c))))) (.f64 (.f64 d d) (.f64 d d))) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c))))) (.f64 c (.f64 c (.f64 (+.f64 c d) (-.f64 c d))))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c))))) (.f64 c (.f64 c (.f64 (+.f64 c d) (-.f64 c d))))) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c))))) (.f64 (.f64 d d) (.f64 d d))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (.f64 c c)) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (.f64 d d))))
(+.f64 (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 d c) (-.f64 d c)))) (.f64 d d)) (.f64 (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 d c) (-.f64 d c)))) (.f64 c (neg.f64 c))))
(+.f64 (.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 c a)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (.f64 c a)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 d b) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 a (neg.f64 c)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d)))) (/.f64 (.f64 d b) (fma.f64 c c (*.f64 d d))))
(+.f64 (.f64 (.f64 (.f64 c c) (.f64 c c)) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c)))))) (.f64 (.f64 d (.f64 d (.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c)))))))
(+.f64 (.f64 (.f64 d (.f64 d (.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c)))))) (.f64 (.f64 (.f64 c c) (.f64 c c)) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c)))))))
(+.f64 (.f64 (.f64 (.f64 d d) (.f64 d d)) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c)))))) (.f64 (.f64 c (.f64 c (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c)))))))
(+.f64 (.f64 (.f64 c (.f64 c (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c)))))) (.f64 (.f64 (.f64 d d) (.f64 d d)) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 (.f64 c c) (.f64 c c)))))))
(+.f64 (.f64 (.f64 c c) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))))) (.f64 (neg.f64 (.f64 d d)) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 c d) (-.f64 c d))))))
(+.f64 (.f64 (.f64 d d) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 d c) (-.f64 d c))))) (.f64 (.f64 c (neg.f64 c)) (/.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c c (.f64 d d)) (.f64 (+.f64 d c) (-.f64 d c))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 c a (*.f64 d b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 c a (.f64 d b)) (neg.f64 (fma.f64 c c (.f64 d d)))))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (.f64 c a)) (/.f64 (.f64 d b) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (/.f64 (.f64 d b) (neg.f64 (fma.f64 c c (.f64 d d)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (.f64 d d)))) (/.f64 (fma.f64 c a (.f64 d b)) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d)))) (fma.f64 c c (.f64 d d))) (/.f64 (/.f64 (.f64 d (.f64 d (.f64 b b))) (fma.f64 c a (.f64 b (neg.f64 d)))) (fma.f64 c c (.f64 d d))))
(-.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (.f64 (fma.f64 c c (.f64 d d)) (fma.f64 c a (.f64 b (neg.f64 d))))) (/.f64 (.f64 d (.f64 d (.f64 b b))) (.f64 (fma.f64 c c (.f64 d d)) (fma.f64 c a (.f64 b (neg.f64 d))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 c a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))) (.f64 (.f64 a (neg.f64 c)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (.f64 c a)) (/.f64 (.f64 d b) (fma.f64 c c (*.f64 d d))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))))
(fma.f64 c (.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d)))) (/.f64 (.f64 d b) (fma.f64 c c (.f64 d d))))
(fma.f64 d (/.f64 b (fma.f64 c c (.f64 d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (.f64 c a)))
(fma.f64 d (/.f64 b (fma.f64 c c (.f64 d d))) (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 d (/.f64 b (fma.f64 c c (.f64 d d))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))))
(fma.f64 d (/.f64 b (fma.f64 c c (.f64 d d))) (.f64 (.f64 a (neg.f64 c)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d)))))
(fma.f64 d (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) b) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 c a)))
(fma.f64 d (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) b) (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))))
(fma.f64 d (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) b) (.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (fma.f64 c c (*.f64 d d)))))
(fma.f64 d (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) b) (.f64 (.f64 a (neg.f64 c)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(fma.f64 d (.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 c a)))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c a (.f64 b (neg.f64 d))))) (.f64 (fma.f64 c a (.f64 b (neg.f64 d))) #s(literal 1 binary64)))
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(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 d b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(fma.f64 #s(literal 1 binary64) (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 d b (neg.f64 (*.f64 a (neg.f64 c))))
(fma.f64 d b (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 d b (.f64 (.f64 c a) #s(literal 1 binary64)))
(fma.f64 d (neg.f64 (neg.f64 b)) (*.f64 c a))
(fma.f64 d (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 a (neg.f64 c))))
(fma.f64 d (neg.f64 (neg.f64 b)) (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 d (neg.f64 (neg.f64 b)) (.f64 (.f64 c a) #s(literal 1 binary64)))
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(fma.f64 d (.f64 b #s(literal 1 binary64)) (neg.f64 (.f64 a (neg.f64 c))))
(fma.f64 d (.f64 b #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (*.f64 c a)))
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(fma.f64 a c (*.f64 d b))
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(fma.f64 b d (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 b d (.f64 (.f64 c a) #s(literal 1 binary64)))
(fma.f64 b (neg.f64 (neg.f64 d)) (*.f64 c a))
(fma.f64 b (neg.f64 (neg.f64 d)) (neg.f64 (*.f64 a (neg.f64 c))))
(fma.f64 b (neg.f64 (neg.f64 d)) (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 b (neg.f64 (neg.f64 d)) (.f64 (.f64 c a) #s(literal 1 binary64)))
(fma.f64 b (.f64 d #s(literal 1 binary64)) (.f64 c a))
(fma.f64 b (.f64 d #s(literal 1 binary64)) (neg.f64 (.f64 a (neg.f64 c))))
(fma.f64 b (.f64 d #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (*.f64 c a)))
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(fma.f64 (.f64 d b) #s(literal 1 binary64) (neg.f64 (.f64 a (neg.f64 c))))
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(fma.f64 (.f64 c a) #s(literal 1 binary64) (.f64 d b))
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(fma.f64 #s(literal -1 binary64) (.f64 b (neg.f64 d)) (neg.f64 (.f64 a (neg.f64 c))))
(fma.f64 #s(literal -1 binary64) (.f64 b (neg.f64 d)) (.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 #s(literal -1 binary64) (.f64 b (neg.f64 d)) (.f64 (*.f64 c a) #s(literal 1 binary64)))
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(fma.f64 (neg.f64 d) (neg.f64 b) (*.f64 c a))
(fma.f64 (neg.f64 d) (neg.f64 b) (neg.f64 (*.f64 a (neg.f64 c))))
(fma.f64 (neg.f64 d) (neg.f64 b) (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 (neg.f64 d) (neg.f64 b) (.f64 (.f64 c a) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) (neg.f64 d) (*.f64 c a))
(fma.f64 (neg.f64 b) (neg.f64 d) (neg.f64 (*.f64 a (neg.f64 c))))
(fma.f64 (neg.f64 b) (neg.f64 d) (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 (neg.f64 b) (neg.f64 d) (.f64 (.f64 c a) #s(literal 1 binary64)))
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(fma.f64 (neg.f64 (neg.f64 d)) b (neg.f64 (*.f64 a (neg.f64 c))))
(fma.f64 (neg.f64 (neg.f64 d)) b (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 (neg.f64 (neg.f64 d)) b (.f64 (.f64 c a) #s(literal 1 binary64)))
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(fma.f64 (neg.f64 (neg.f64 b)) d (neg.f64 (*.f64 a (neg.f64 c))))
(fma.f64 (neg.f64 (neg.f64 b)) d (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 (neg.f64 (neg.f64 b)) d (.f64 (.f64 c a) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (fma.f64 c a (*.f64 d b))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a)))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 d b))))
(/.f64 (neg.f64 (fma.f64 c a (*.f64 d b))) #s(literal -1 binary64))
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(/.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b)))) (fma.f64 d (.f64 d (.f64 b b)) (.f64 (.f64 c a) (fma.f64 c a (.f64 b (neg.f64 d))))))
(/.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b)))) (neg.f64 (neg.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a)))))))
(/.f64 (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c a (.f64 b (neg.f64 d)))) (fma.f64 c a (.f64 b (neg.f64 d))))
(/.f64 (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c a (.f64 b (neg.f64 d)))) (neg.f64 (fma.f64 a (neg.f64 c) (.f64 d b))))
(/.f64 (neg.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a))))))
(/.f64 (neg.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 d (.f64 d (.f64 b b)) (.f64 (.f64 c a) (fma.f64 c a (.f64 b (neg.f64 d)))))))
(/.f64 (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 a (neg.f64 c) (.f64 d b))) (fma.f64 a (neg.f64 c) (.f64 d b)))
(/.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a))) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (-.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d)))) (.f64 (fma.f64 c a (.f64 b (neg.f64 d))) (.f64 d (.f64 d (.f64 b b))))) (.f64 (fma.f64 c a (.f64 b (neg.f64 d))) (fma.f64 c a (*.f64 b (neg.f64 d)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b)))))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 a (neg.f64 c) (.f64 d b)))) (fma.f64 c a (.f64 b (neg.f64 d))))
(/.f64 (neg.f64 (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 a (neg.f64 c) (.f64 d b)))) (neg.f64 (fma.f64 a (neg.f64 c) (.f64 d b))))
(/.f64 (neg.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a)))) (neg.f64 (-.f64 (.f64 d b) (.f64 c a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 d (.f64 d (.f64 b b))) (fma.f64 c a (.f64 b (neg.f64 d)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d)))) (/.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d)))) (fma.f64 (/.f64 (.f64 d (.f64 d (.f64 b b))) (fma.f64 c a (.f64 b (neg.f64 d)))) (/.f64 (.f64 d (.f64 d (.f64 b b))) (fma.f64 c a (.f64 b (neg.f64 d)))) (.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d)))) (/.f64 (.f64 d (.f64 d (.f64 b b))) (fma.f64 c a (*.f64 b (neg.f64 d))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d)))) (/.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d))))) (.f64 (/.f64 (.f64 d (.f64 d (.f64 b b))) (fma.f64 c a (.f64 b (neg.f64 d)))) (/.f64 (.f64 d (.f64 d (.f64 b b))) (fma.f64 c a (.f64 b (neg.f64 d)))))) (+.f64 (/.f64 (.f64 c (.f64 c (.f64 a a))) (fma.f64 c a (.f64 b (neg.f64 d)))) (/.f64 (.f64 d (.f64 d (.f64 b b))) (fma.f64 c a (.f64 b (neg.f64 d))))))
(pow.f64 (fma.f64 c a (*.f64 d b)) #s(literal 1 binary64))
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(.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))
(.f64 (fma.f64 c a (.f64 d b)) #s(literal 1 binary64))
(.f64 (fma.f64 c a (.f64 d b)) (/.f64 (fma.f64 c a (.f64 b (neg.f64 d))) (fma.f64 c a (.f64 b (neg.f64 d)))))
(.f64 (fma.f64 c a (.f64 d b)) (.f64 (fma.f64 c a (.f64 b (neg.f64 d))) (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 b (neg.f64 d))))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 c a (.f64 d b))))
(.f64 (neg.f64 (fma.f64 c a (.f64 d b))) #s(literal -1 binary64))
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(.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (.f64 b b)) (.f64 (.f64 c a) (fma.f64 c a (*.f64 b (neg.f64 d)))))))
(.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a))))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) (.f64 (fma.f64 c a (.f64 d b)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a)))))))
(.f64 (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c a (.f64 b (neg.f64 d)))) (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 b (neg.f64 d)))))
(.f64 (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c a (.f64 b (neg.f64 d)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 b (neg.f64 d)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))))))
(.f64 (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 a (neg.f64 c) (.f64 d b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 c) (*.f64 d b))))
(.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 d b) (*.f64 c a))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 c a (.f64 d b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 d b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a (.f64 c (.f64 c (.f64 a a)))) (.f64 (.f64 d (.f64 d d)) (.f64 b (.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c a (.f64 b (neg.f64 d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 b (neg.f64 d)))))
(.f64 (/.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c)))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(*.f64 c c)
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(literal -1 binary64))
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(.f64 #s(approx (+ ( c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( c c) (* d d)) (*.f64 d d))))

eval788.0ms (7.5%)

Memory: -101.8MiB live, 694.1MiB allocated
Compiler: Compiled 105 756 to 5 770 computations (94.5% saved)

prune721.0ms (6.9%)

Memory

-2.5MiB live, 640.6MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	3 401	15	3 416
Fresh	3	5	8
Picked	4	1	5
Done	0	0	0
Total	3 408	21	3 429

Accuracy

100.0%

Counts

3 429 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	28.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	18.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	66.3%	(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))))
	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) #s(approx (+ ( a c) (* b d)) (*.f64 a c))))
	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (fma.f64 d (-.f64 (.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 b (*.f64 a a))) (/.f64 c a))))
	45.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
	38.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (-.f64 (/.f64 c a) (/.f64 (.f64 b d) (.f64 a a)))))
	33.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
	52.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	56.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	49.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
	45.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c))
	20.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
▶	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
▶	41.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b)))
	38.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d)))))

Compiler

Compiled 621 to 375 computations (39.6% saved)

simplify22.0ms (0.2%)

Memory

-33.6MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 c c (*.f64 d d))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b)))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b))
✓	cost-diff	0	(fma.f64 c c (*.f64 d d))
✓	cost-diff	0	(/.f64 d (fma.f64 c c (*.f64 d d)))
✓	cost-diff	0	(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
✓	cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	#s(approx (+ (* a c) (* b d)) (*.f64 b d))
✓	cost-diff	0	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	cost-diff	0	(/.f64 b d)
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
✓	cost-diff	320	(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))))
✓	cost-diff	1408	(fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b))))

Rules

192×	`lower-*.f32`
178×	`lower-*.f64`
92×	`lower-/.f32`
84×	`lower-fma.f32`
78×	`lower-fma.f64`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	34	283
0	53	274
1	78	268
2	104	268
3	145	268
4	153	268
5	165	268
6	176	268
7	192	268
8	201	268
9	211	258
10	243	254
11	261	252
12	291	252
13	321	252
14	327	252
0	327	252

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))))
#s(literal 1 binary64)
(fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b))))
d
(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
(fma.f64 c a (*.f64 d b))
c
a
(*.f64 d b)
b
(/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(/.f64 d (fma.f64 c c (*.f64 d d)))
d
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b))
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
#s(literal 1 binary64)
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
(*.f64 d b)
b

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
#s(literal 1 binary64)
(fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b))))
(/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))
d
(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
(/.f64 d (fma.f64 d b (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
(/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
c
a
(*.f64 d b)
b
(/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))
(/.f64 (.f64 c c) (fma.f64 d b (.f64 c a)))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 b d)
(*.f64 d b)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(/.f64 (.f64 d b) (fma.f64 d d (.f64 c c)))
(/.f64 d (fma.f64 c c (*.f64 d d)))
(/.f64 d (fma.f64 d d (*.f64 c c)))
d
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
c
(*.f64 d d)
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b))
(/.f64 (.f64 d b) (fma.f64 d d (.f64 c c)))
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
c
(*.f64 d d)
d
(*.f64 d b)
b

localize92.0ms (0.9%)

Memory

3.0MiB live, 157.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 d b)
✓	accuracy	98.0%	(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
✓	accuracy	70.8%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b))
✓	accuracy	61.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b)))
✓	accuracy	100.0%	(*.f64 d d)
✓	accuracy	95.5%	(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
✓	accuracy	72.3%	(/.f64 d (fma.f64 c c (*.f64 d d)))
✓	accuracy	61.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	60.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	accuracy	58.6%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	55.4%	#s(approx (+ (* a c) (* b d)) (*.f64 b d))
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))))
✓	accuracy	83.1%	(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
✓	accuracy	70.5%	(/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))

Samples

51.0ms

256×

valid

Compiler

Compiled 262 to 28 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 16.0ms (50% of total)

ival-div: 10.0ms (31.3% of total)

ival-add: 5.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (0.5%)

Memory

30.7MiB live, 105.3MiB allocated

Counts

20 → 732

Calls

Call 1

Inputs
#<alt (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))))>
#<alt (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))>
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))>
#<alt (/.f64 b d)>
#<alt (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))>
#<alt #s(approx (+ (* a c) (* b d)) (*.f64 b d))>
#<alt (*.f64 b d)>
#<alt #s(approx (+ (* c c) (* d d)) (*.f64 d d))>
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))>
#<alt (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)>
#<alt (/.f64 d (fma.f64 c c (*.f64 d d)))>
#<alt (fma.f64 c c (*.f64 d d))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b))>
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))>
#<alt (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))>
#<alt (*.f64 d d)>
#<alt (*.f64 d b)>

Outputs
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (+ (* d (- (* d (- (+ (* -1 (* d (+ (/ b (* (pow a 2) (pow c 2))) (/ (pow b 3) (* (pow a 4) (pow c 2)))))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (/ d b)>
#<alt (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))>
#<alt (* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (* d (- (+ (* -1 (/ (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4))) (pow d 3))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (/ d b)>
#<alt (* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow c 2) b)) (+ (/ (* a (pow c 3)) (* (pow b 2) d)) (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (/ d b)>
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))>
#<alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (+ (* c (- (* c (- (+ (* -1 (* c (+ (/ a (* (pow b 2) (pow d 2))) (/ (pow a 3) (* (pow b 4) (pow d 2)))))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (/ c a)>
#<alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))>
#<alt (* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (* c (- (+ (* -1 (/ (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4))) (pow c 3))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (/ c a)>
#<alt (* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) a)) (+ (/ (* b (pow d 3)) (* (pow a 2) c)) (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (+ (/ d b) (/ (pow c 2) (* b d)))>
#<alt (+ (* -1 (* a (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))))) (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (/ (pow c 3) (* (pow b 4) (pow d 2))) (/ (pow c 5) (* (pow b 4) (pow d 4)))))) (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))))) (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (/ (+ c (/ (pow d 2) c)) a)>
#<alt (/ (+ c (+ (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) a)) (/ (pow d 2) c))) a)>
#<alt (/ (- (+ c (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (pow a 2))) (/ (pow d 2) c))) (+ (/ (* b d) a) (/ (* b (pow d 3)) (* a (pow c 2))))) a)>
#<alt (/ (- (+ c (+ (* -1 (/ (+ (/ (* (pow b 3) (pow d 3)) (pow c 2)) (/ (* (pow b 3) (pow d 5)) (pow c 4))) (pow a 3))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3)))) (+ (/ (* b d) a) (/ (* b (pow d 3)) (* a (pow c 2))))))) a)>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (pow d 2) c))) a))>
#<alt (* -1 (/ (+ (* -1 c) (+ (* -1 (/ (pow d 2) c)) (+ (/ (* b d) a) (/ (* b (pow d 3)) (* a (pow c 2)))))) a))>
#<alt (* -1 (/ (+ (* -1 c) (+ (* -1 (/ (- (+ (/ (* (pow b 2) (pow d 2)) (* a c)) (/ (* (pow b 2) (pow d 4)) (* a (pow c 3)))) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) a)) (* -1 (/ (pow d 2) c)))) a))>
#<alt (* -1 (/ (+ (* -1 c) (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 3) (pow d 5)) (* a (pow c 4)))) (+ (/ (* (pow b 2) (pow d 2)) c) (/ (* (pow b 2) (pow d 4)) (pow c 3)))) a)) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) a)) (* -1 (/ (pow d 2) c)))) a))>
#<alt (+ (/ c a) (/ (pow d 2) (* a c)))>
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#<alt (/ (pow c 2) (* b d))>
#<alt (* (pow c 2) (+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d))))>
#<alt (* (pow c 2) (+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))))>
#<alt (* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))))>
#<alt (/ c a)>
#<alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))>
#<alt (* c (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))>
#<alt (* c (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (/ c a)>
#<alt (* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (/ (pow c 2) (* b d))>
#<alt (+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) (pow d 2)))) (/ (pow c 2) (* b d)))>
#<alt (+ (* a (- (/ (* a (pow c 4)) (* (pow b 3) (pow d 3))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d)))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3)))))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d)))>
#<alt (/ c a)>
#<alt (/ (+ c (* -1 (/ (* b d) a))) a)>
#<alt (/ (- (+ c (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a)) a)>
#<alt (/ (- (+ c (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a))) a)>
#<alt (/ c a)>
#<alt (* -1 (/ (+ (* -1 c) (/ (* b d) a)) a))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a c)) (* b d)) a))) a))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 2) (pow d 2)) c)) a)) (* b d)) a))) a))>
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) c)) (/ b (pow a 2)))) (/ c a))>
#<alt (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (/ (pow c 2) (* b d))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) d))) (/ (pow c 2) b)) d)>
#<alt (/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2))) (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d)>
#<alt (/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 4) (pow d 3)))) (/ (pow c 2) b)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2)))) (/ (* a (pow c 3)) (* (pow b 2) d)))) d)>
#<alt (/ (pow c 2) (* b d))>
#<alt (* -1 (/ (+ (* -1 (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* (pow b 3) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 4)) (pow b 3))) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d))>
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) c)) (/ d (pow a 2)))) (/ c a))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow d 2) (* (pow a 3) c))))) (/ d (pow a 2)))) (/ c a))>
#<alt (/ (pow c 2) (* b d))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (pow c 2) d)) b)>
#<alt (/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3))) (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3)))) (/ (* a (pow c 3)) (* b (pow d 2))))) b)>
#<alt (/ (pow c 2) (* b d))>
#<alt (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* b (pow d 3))) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 4)) (pow d 3))) b)) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>

Calls

183 calls:

Time	Variable		Point	Expression
6.0ms	c	@	inf	(* d (/ 1 (+ (* c a) (* d b))))
2.0ms	a	@	-inf	(+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))
1.0ms	b	@	-inf	(/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b)))))
1.0ms	b	@	inf	(/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b)))))
1.0ms	a	@	inf	(/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b)))))

simplify367.0ms (3.5%)

Memory

-10.3MiB live, 470.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 900×	`lower-*.f64`
4 900×	`lower-*.f32`
3 726×	`lower-+.f64`
3 726×	`lower-+.f32`
3 682×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1709	16252
1	5897	15786
0	8114	15228

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

Inputs
(/ c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(+ (* d (- (* d (- (+ (* -1 (* d (+ (/ b (* (pow a 2) (pow c 2))) (/ (pow b 3) (* (pow a 4) (pow c 2)))))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(/ d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* d (- (+ (* -1 (/ (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4))) (pow d 3))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(/ d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow c 2) b)) (+ (/ (* a (pow c 3)) (* (pow b 2) d)) (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (+ (* -1 (* c (+ (/ a (* (pow b 2) (pow d 2))) (/ (pow a 3) (* (pow b 4) (pow d 2)))))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(/ c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* c (- (+ (* -1 (/ (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4))) (pow c 3))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(/ c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) a)) (+ (/ (* b (pow d 3)) (* (pow a 2) c)) (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(+ (/ d b) (/ (pow c 2) (* b d)))
(+ (* -1 (* a (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))))) (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (* a (- (* -1 (* a (+ (/ (pow c 3) (* (pow b 4) (pow d 2))) (/ (pow c 5) (* (pow b 4) (pow d 4)))))) (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))))) (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(/ (+ c (/ (pow d 2) c)) a)
(/ (+ c (+ (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) a)) (/ (pow d 2) c))) a)
(/ (- (+ c (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (pow a 2))) (/ (pow d 2) c))) (+ (/ (* b d) a) (/ (* b (pow d 3)) (* a (pow c 2))))) a)
(/ (- (+ c (+ (* -1 (/ (+ (/ (* (pow b 3) (pow d 3)) (pow c 2)) (/ (* (pow b 3) (pow d 5)) (pow c 4))) (pow a 3))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3)))) (+ (/ (* b d) a) (/ (* b (pow d 3)) (* a (pow c 2))))))) a)
(* -1 (/ (+ (* -1 c) (* -1 (/ (pow d 2) c))) a))
(* -1 (/ (+ (* -1 c) (+ (* -1 (/ (pow d 2) c)) (+ (/ (* b d) a) (/ (* b (pow d 3)) (* a (pow c 2)))))) a))
(* -1 (/ (+ (* -1 c) (+ (* -1 (/ (- (+ (/ (* (pow b 2) (pow d 2)) (* a c)) (/ (* (pow b 2) (pow d 4)) (* a (pow c 3)))) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) a)) (* -1 (/ (pow d 2) c)))) a))
(* -1 (/ (+ (* -1 c) (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 3) (pow d 5)) (* a (pow c 4)))) (+ (/ (* (pow b 2) (pow d 2)) c) (/ (* (pow b 2) (pow d 4)) (pow c 3)))) a)) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) a)) (* -1 (/ (pow d 2) c)))) a))
(+ (/ c a) (/ (pow d 2) (* a c)))
(+ (* -1 (* b (+ (/ d (pow a 2)) (/ (pow d 3) (* (pow a 2) (pow c 2)))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow d 2) (* (pow a 3) c))) (* -1 (/ (pow d 4) (* (pow a 3) (pow c 3))))))) (+ (/ d (pow a 2)) (/ (pow d 3) (* (pow a 2) (pow c 2)))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (* b (- (* -1 (* b (+ (/ (pow d 3) (* (pow a 4) (pow c 2))) (/ (pow d 5) (* (pow a 4) (pow c 4)))))) (+ (* -1 (/ (pow d 2) (* (pow a 3) c))) (* -1 (/ (pow d 4) (* (pow a 3) (pow c 3))))))) (+ (/ d (pow a 2)) (/ (pow d 3) (* (pow a 2) (pow c 2)))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(/ (+ d (/ (pow c 2) d)) b)
(/ (+ d (+ (* -1 (/ (+ (* a c) (/ (* a (pow c 3)) (pow d 2))) b)) (/ (pow c 2) d))) b)
(/ (- (+ d (+ (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) d)) (* -1 (/ (* (pow a 2) (pow c 4)) (pow d 3)))) (pow b 2))) (/ (pow c 2) d))) (+ (/ (* a c) b) (/ (* a (pow c 3)) (* b (pow d 2))))) b)
(/ (- (+ d (+ (* -1 (/ (+ (/ (* (pow a 3) (pow c 3)) (pow d 2)) (/ (* (pow a 3) (pow c 5)) (pow d 4))) (pow b 3))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3)))) (+ (/ (* a c) b) (/ (* a (pow c 3)) (* b (pow d 2))))))) b)
(* -1 (/ (+ (* -1 d) (* -1 (/ (pow c 2) d))) b))
(* -1 (/ (+ (* -1 d) (+ (* -1 (/ (pow c 2) d)) (+ (/ (* a c) b) (/ (* a (pow c 3)) (* b (pow d 2)))))) b))
(* -1 (/ (+ (* -1 d) (+ (* -1 (/ (- (+ (/ (* (pow a 2) (pow c 2)) (* b d)) (/ (* (pow a 2) (pow c 4)) (* b (pow d 3)))) (+ (* a c) (/ (* a (pow c 3)) (pow d 2)))) b)) (* -1 (/ (pow c 2) d)))) b))
(* -1 (/ (+ (* -1 d) (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (pow a 3) (pow c 3)) (* b (pow d 2))) (/ (* (pow a 3) (pow c 5)) (* b (pow d 4)))) (+ (/ (* (pow a 2) (pow c 2)) d) (/ (* (pow a 2) (pow c 4)) (pow d 3)))) b)) (+ (* a c) (/ (* a (pow c 3)) (pow d 2)))) b)) (* -1 (/ (pow c 2) d)))) b))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (- (* -1 (* d (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2))))) (* -1 (/ b (pow c 2))))) (/ a c))
(+ (* d (- (* d (- (* -1 (* d (+ (* -1 (/ (* (pow a 2) (+ (/ b (* (pow a 2) (pow c 2))) (/ (pow b 3) (* (pow a 4) (pow c 2))))) (pow c 2))) (+ (/ (* a (* b (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (pow c 3)) (/ (* b (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2)))) (* a c)))))) (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2))))) (* -1 (/ b (pow c 2))))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (- (+ b (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) b)) (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (pow d 2)))) (* -1 (/ (* a c) d))) d)
(/ (- (+ b (* -1 (/ (+ (* -1 (* (pow b 2) (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4))))) (+ (* a (* b (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))))))) (/ (* a (* c (+ (* -1 (/ (* (pow a 2) (pow c 2)) b)) (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))))) b))) (pow d 3)))) (+ (* -1 (/ (* a c) d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* b (pow d 2)))) (/ (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (pow d 2))))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (+ (/ (* (pow a 2) (pow c 2)) (* b d)) (/ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (* -1 (* a c))) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* b (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) d)) (+ (* -1 (/ (* a (* c (+ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* (pow a 2) (pow c 2)) b)))) (* b d))) (* -1 (/ (* (pow b 2) (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4)))) d)))) (+ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* (pow a 2) (pow c 2)) b))) d)) (* -1 (* a c))) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2))))) (* -1 (/ a (pow d 2))))) (/ b d))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* (pow b 2) (+ (/ a (* (pow b 2) (pow d 2))) (/ (pow a 3) (* (pow b 4) (pow d 2))))) (pow d 2))) (+ (/ (* a (* b (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (pow d 3)) (/ (* a (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2)))) (* b d)))))) (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2))))) (* -1 (/ a (pow d 2))))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (- (+ a (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) a)) (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (pow c 2)))) (* -1 (/ (* b d) c))) c)
(/ (- (+ a (* -1 (/ (+ (* -1 (* (pow a 2) (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4))))) (+ (* a (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3))))))) (/ (* b (* d (+ (* -1 (/ (* (pow b 2) (pow d 2)) a)) (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))))) a))) (pow c 3)))) (+ (* -1 (/ (* b d) c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* a (pow c 2)))) (/ (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (pow c 2))))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (+ (/ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) c) (/ (* (pow b 2) (pow d 2)) (* a c))) (* -1 (* b d))) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) c)) (+ (* -1 (/ (* b (* d (+ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* (pow b 2) (pow d 2)) a)))) (* a c))) (* -1 (/ (* (pow a 2) (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4)))) c)))) (+ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* (pow b 2) (pow d 2)) a))) c)) (* -1 (* b d))) c))) c))
(/ 1 (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (/ 1 (+ (/ d b) (/ (pow c 2) (* b d)))) (/ (* a (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (* -1 (/ (pow (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) 2) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3)))))) (* -1 (/ (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))))) (/ 1 (+ (/ d b) (/ (pow c 2) (* b d)))))
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(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ (* b d) (pow c 2))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ 1 (pow d 2))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (pow c 2) (* b d))
(* (pow c 2) (+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d))))
(* (pow c 2) (+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))))
(* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))))
(/ c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))
(* c (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(/ c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(/ (pow c 2) (* b d))
(+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) (pow d 2)))) (/ (pow c 2) (* b d)))
(+ (* a (- (/ (* a (pow c 4)) (* (pow b 3) (pow d 3))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3)))))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d)))
(/ c a)
(/ (+ c (* -1 (/ (* b d) a))) a)
(/ (- (+ c (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a)) a)
(/ (- (+ c (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a))) a)
(/ c a)
(* -1 (/ (+ (* -1 c) (/ (* b d) a)) a))
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a c)) (* b d)) a))) a))
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 2) (pow d 2)) c)) a)) (* b d)) a))) a))
(/ c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) c)) (/ b (pow a 2)))) (/ c a))
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(/ (pow c 2) (* b d))
(/ (+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) d))) (/ (pow c 2) b)) d)
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2))) (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 4) (pow d 3)))) (/ (pow c 2) b)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2)))) (/ (* a (pow c 3)) (* (pow b 2) d)))) d)
(/ (pow c 2) (* b d))
(* -1 (/ (+ (* -1 (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* (pow b 3) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 4)) (pow b 3))) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d))
(/ c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) c)) (/ d (pow a 2)))) (/ c a))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow d 2) (* (pow a 3) c))))) (/ d (pow a 2)))) (/ c a))
(/ (pow c 2) (* b d))
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (pow c 2) d)) b)
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3))) (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3)))) (/ (* a (pow c 3)) (* b (pow d 2))))) b)
(/ (pow c 2) (* b d))
(* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* b (pow d 3))) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 4)) (pow d 3))) b)) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)

Outputs
(/ c a)
(/.f64 c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(-.f64 (/.f64 c a) (.f64 b (/.f64 d (.f64 a a))))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (fma.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a))))) (neg.f64 (/.f64 b (.f64 a a)))) (/.f64 c a))
(+ (* d (- (* d (- (+ (* -1 (* d (+ (/ b (* (pow a 2) (pow c 2))) (/ (pow b 3) (* (pow a 4) (pow c 2)))))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (fma.f64 d (+.f64 (fma.f64 (neg.f64 d) (+.f64 (/.f64 b (.f64 (.f64 a a) (.f64 c c))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 c c) (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a))))) (neg.f64 (/.f64 b (*.f64 a a)))) (/.f64 c a))
(/ d b)
(/.f64 d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(.f64 d (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 c a) (.f64 d (.f64 b b)))))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(.f64 d (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 c c) (.f64 b (.f64 d d)))) (-.f64 (/.f64 (.f64 c a) (.f64 d (.f64 b b))) (.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 (.f64 b (.f64 b b)) (.f64 d d)))))))
(* d (- (+ (* -1 (/ (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4))) (pow d 3))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(.f64 d (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 c c) (.f64 b (.f64 d d)))) (/.f64 (fma.f64 a (/.f64 (.f64 c (.f64 c c)) (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (.f64 d (.f64 d d)))) (-.f64 (/.f64 (.f64 c a) (.f64 d (.f64 b b))) (.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 (.f64 b (.f64 b b)) (.f64 d d)))))))
(/ d b)
(/.f64 d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(.f64 (neg.f64 d) (-.f64 (/.f64 (.f64 c a) (.f64 d (.f64 b b))) (/.f64 #s(literal 1 binary64) b)))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(.f64 (neg.f64 d) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 c c) b)) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 b (.f64 b b)))) d)) (/.f64 (.f64 c a) (*.f64 b b))) d)) (/.f64 #s(literal 1 binary64) b)))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow c 2) b)) (+ (/ (* a (pow c 3)) (* (pow b 2) d)) (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(.f64 (neg.f64 d) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 a (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 b b))) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 d (pow.f64 b #s(literal 4 binary64))))) (/.f64 (.f64 c c) b)) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 b (.f64 b b)))) d)) (/.f64 (.f64 c a) (*.f64 b b))) d)) (/.f64 #s(literal 1 binary64) b)))
(/ d b)
(/.f64 d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(-.f64 (/.f64 d b) (/.f64 (.f64 c a) (.f64 b b)))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b d)) (/.f64 (.f64 a a) (.f64 d (.f64 b (.f64 b b))))) (neg.f64 (/.f64 a (.f64 b b)))) (/.f64 d b))
(+ (* c (- (* c (- (+ (* -1 (* c (+ (/ a (* (pow b 2) (pow d 2))) (/ (pow a 3) (* (pow b 4) (pow d 2)))))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (+.f64 (/.f64 a (.f64 (.f64 b d) (.f64 b d))) (/.f64 (.f64 a (.f64 a a)) (.f64 (.f64 d d) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b d)) (/.f64 (.f64 a a) (.f64 d (.f64 b (.f64 b b)))))) (neg.f64 (/.f64 a (*.f64 b b)))) (/.f64 d b))
(/ c a)
(/.f64 c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(.f64 c (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 b d) (.f64 c (.f64 a a)))))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(.f64 c (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 d d) (.f64 a (.f64 c c)))) (-.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (/.f64 (.f64 (.f64 b d) (.f64 b d)) (.f64 (.f64 a (.f64 a a)) (.f64 c c))))))
(* c (- (+ (* -1 (/ (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4))) (pow c 3))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(.f64 c (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 d d) (.f64 a (.f64 c c)))) (/.f64 (fma.f64 b (/.f64 (.f64 d (.f64 d d)) (.f64 a a)) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 d (.f64 d d))) (pow.f64 a #s(literal 4 binary64)))) (.f64 c (.f64 c c)))) (-.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (/.f64 (.f64 (.f64 b d) (.f64 b d)) (.f64 (.f64 a (.f64 a a)) (.f64 c c))))))
(/ c a)
(/.f64 c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(.f64 (neg.f64 c) (-.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 d d) a)) (/.f64 (.f64 (.f64 b d) (.f64 b d)) (.f64 a (.f64 a a)))) c)) (.f64 b (/.f64 d (*.f64 a a)))) c)) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) a)) (+ (/ (* b (pow d 3)) (* (pow a 2) c)) (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 b (/.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 a a))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 d (.f64 d d))) (.f64 c (pow.f64 a #s(literal 4 binary64))))) (/.f64 (.f64 d d) a)) (/.f64 (.f64 (.f64 b d) (.f64 b d)) (.f64 a (.f64 a a)))) c)) (.f64 b (/.f64 d (*.f64 a a)))) c)) (/.f64 #s(literal 1 binary64) a)))
(+ (/ d b) (/ (pow c 2) (* b d)))
(+.f64 (/.f64 d b) (/.f64 (.f64 c c) (.f64 b d)))
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(* -1 (/ (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 2) (pow d 2)) c)) a)) (* b d)) a))) a))
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(* -1 (/ (+ (* -1 (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d))
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(/ c a)
(/.f64 c a)
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 4)) (pow d 3))) b)) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))
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(pow d 2)
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(pow d 2)
(*.f64 d d)
(pow d 2)
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(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)

rewrite480.0ms (4.6%)

Memory

8.1MiB live, 513.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 444×	`lower-fma.f32`
11 438×	`lower-fma.f64`
6 944×	`lower-*.f32`
6 930×	`lower-*.f64`
3 144×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	243
0	53	228
1	190	218
2	1060	212
0	9103	212

Stop Event

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

Counts

20 → 944

Calls

Call 1

Inputs
(fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b))))
(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))))
(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(/.f64 d (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b)))
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
(/.f64 (.f64 c c) (fma.f64 c a (.f64 d b)))
(*.f64 d d)
(*.f64 d b)

Outputs
(+.f64 (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(+.f64 (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(+.f64 (/.f64 (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 d d))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 d b (.f64 c a)))) (neg.f64 (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d b (.f64 c a)))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 d b (*.f64 c a))))))
(+.f64 (.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 c (.f64 c (.f64 a a)))) (.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (.f64 d b) (-.f64 (.f64 d b) (*.f64 c a)))))
(+.f64 (.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)))) (.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 c (.f64 c (*.f64 a a)))))
(+.f64 (.f64 (/.f64 (fma.f64 d d (.f64 c c)) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 c a)) (.f64 (/.f64 (fma.f64 d d (.f64 c c)) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 b (neg.f64 d))))
(+.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a))))))) (.f64 (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (*.f64 a a))))))))
(+.f64 (.f64 (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a))))))) (.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (*.f64 a a))))))))
(+.f64 (.f64 (.f64 c a) (/.f64 (fma.f64 d d (.f64 c c)) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b))))) (.f64 (.f64 b (neg.f64 d)) (/.f64 (fma.f64 d d (.f64 c c)) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b))))))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 c c) (neg.f64 (fma.f64 d b (.f64 c a)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))))
(-.f64 (/.f64 (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 d d))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 d b (.f64 c a)))) (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d b (.f64 c a)))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 d b (*.f64 c a)))))
(-.f64 (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 d b (.f64 c a))) (/.f64 (/.f64 (.f64 d (.f64 d (.f64 d d))) (.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 d b (.f64 c a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d b (.f64 c a)))) (neg.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (*.f64 c a)))))
(-.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (fma.f64 d b (.f64 c a)) (.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (.f64 d (.f64 d (.f64 d d))) (.f64 (fma.f64 d b (.f64 c a)) (.f64 (+.f64 c d) (-.f64 c d)))))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 d d))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 d b (.f64 c a)))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d b (.f64 c a)))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 d b (*.f64 c a)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d b (.f64 c a)))) (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 d b (.f64 c a)))) (/.f64 (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 d d))) (/.f64 (.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 d b (*.f64 c a)))))
(fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) (/.f64 (.f64 c c) (fma.f64 d b (*.f64 c a))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 c (/.f64 c (fma.f64 d b (.f64 c a))) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) c) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (.f64 c c) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (.f64 d d) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) #s(literal -1 binary64)) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 d (fma.f64 d b (.f64 c a))) d (/.f64 (.f64 c c) (fma.f64 d b (*.f64 c a))))
(fma.f64 (.f64 c c) (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))) #s(literal 1 binary64) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (.f64 c a) (/.f64 (fma.f64 d d (.f64 c c)) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (.f64 b (neg.f64 d)) (/.f64 (fma.f64 d d (.f64 c c)) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (*.f64 d b))))))
(fma.f64 (.f64 d d) (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))) #s(literal 1 binary64) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 d (neg.f64 d)) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 c c) (neg.f64 (fma.f64 d b (.f64 c a)))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (neg.f64 (.f64 c c)) (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (neg.f64 (.f64 c c)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a))) #s(literal 1 binary64)) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a))))))))
(fma.f64 (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a))))))))
(fma.f64 (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (.f64 d d))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 d b (.f64 c a)))) (neg.f64 (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d b (.f64 c a)))) (/.f64 (.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 d b (*.f64 c a))))))
(fma.f64 (/.f64 c (fma.f64 d b (.f64 c a))) c (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 c (fma.f64 d b (.f64 c a))) (/.f64 c #s(literal 1 binary64)) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 c (fma.f64 d b (.f64 c a))) (.f64 c #s(literal 1 binary64)) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (neg.f64 c) (.f64 c (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a)))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (.f64 d (neg.f64 d)) (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64)) (.f64 d d)) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64)) (.f64 c c)) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (.f64 (.f64 c c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a))) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 d (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 (.f64 c c) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 d (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) d) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 d (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 d (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 d (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (-.f64 (.f64 c a) (.f64 d b)) d) (/.f64 (.f64 c c) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 (.f64 c c) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 (.f64 c c) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 (.f64 c c) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 (.f64 c c) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (-.f64 (.f64 c a) (.f64 d b)) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 (.f64 c c) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 (.f64 c c) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (-.f64 (.f64 c a) (.f64 d b)) #s(literal 1 binary64)) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) (.f64 c c)) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) (.f64 d d)) (/.f64 (.f64 c c) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (-.f64 (.f64 c a) (.f64 d b)) (.f64 c c)) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (-.f64 (.f64 c a) (.f64 d b)) (.f64 d d)) (/.f64 (.f64 c c) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 c (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 c (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) c) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 c (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))))
(fma.f64 (/.f64 c (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (-.f64 (.f64 c a) (.f64 d b)) c) (/.f64 (.f64 d d) (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 c (.f64 c (.f64 a a))) (.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)))))
(fma.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 c (.f64 c (.f64 a a)))))
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(.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (fma.f64 d b (*.f64 c a))))
(.f64 c (/.f64 c (fma.f64 d b (.f64 c a))))
(.f64 c (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) c))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (*.f64 c c))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) #s(literal -1 binary64)))
(.f64 (.f64 c c) (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))))
(.f64 (/.f64 (.f64 c c) (fma.f64 d b (*.f64 c a))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 c c) (neg.f64 (fma.f64 d b (*.f64 c a)))))
(.f64 (neg.f64 (.f64 c c)) (/.f64 #s(literal -1 binary64) (fma.f64 d b (*.f64 c a))))
(.f64 (neg.f64 (.f64 c c)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a))) #s(literal 1 binary64)))
(.f64 (/.f64 c (fma.f64 d b (.f64 c a))) c)
(.f64 (/.f64 c (fma.f64 d b (.f64 c a))) (/.f64 c #s(literal 1 binary64)))
(.f64 (/.f64 c (fma.f64 d b (.f64 c a))) (*.f64 c #s(literal 1 binary64)))
(.f64 (neg.f64 c) (.f64 c (/.f64 #s(literal -1 binary64) (fma.f64 d b (*.f64 c a)))))
(.f64 (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64)) (*.f64 c c)))
(.f64 (.f64 (.f64 c c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a))))
(.f64 (/.f64 (.f64 c c) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a)))))
(.f64 (/.f64 (.f64 c c) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a)))))))
(.f64 (/.f64 (.f64 c c) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 c c) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (-.f64 (.f64 c a) (.f64 d b)))
(.f64 (/.f64 (.f64 c c) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (.f64 d b)))))
(.f64 (/.f64 (.f64 c c) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (-.f64 (.f64 c a) (*.f64 d b)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))) (.f64 c c)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (-.f64 (.f64 c a) (.f64 d b)) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))))))
(.f64 (/.f64 c (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a)))))) (.f64 (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a)))) c))
(.f64 (/.f64 c (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (*.f64 d b)))))
(.f64 (/.f64 c (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (.f64 (-.f64 (.f64 c a) (.f64 d b)) c))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 c) (fma.f64 d b (.f64 c a))))
(.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 c (fma.f64 d b (.f64 c a))))
(.f64 (/.f64 (.f64 c c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 d b (*.f64 c a))))
(.f64 (pow.f64 (/.f64 (fma.f64 d b (.f64 c a)) (.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 d b (.f64 c a)) (*.f64 c c)) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64)) c) (.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1/2 binary64)) c))
(.f64 (.f64 c (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64))) (.f64 c (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) c) (/.f64 c (fma.f64 d b (*.f64 c a))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) c) c)
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a))))))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (.f64 a a)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b))))) (-.f64 (.f64 c a) (*.f64 d b)))
(.f64 (.f64 c (/.f64 c (fma.f64 d (.f64 b (.f64 d (.f64 b (.f64 d b)))) (.f64 (.f64 c a) (.f64 c (.f64 c (.f64 a a))))))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 c (.f64 c (*.f64 a a)))))
(.f64 (.f64 c (/.f64 c (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b))))) (-.f64 (.f64 c a) (.f64 d b)))
(.f64 (.f64 (.f64 c c) (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 d d)))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(*.f64 d d)
(.f64 #s(literal 1 binary64) (.f64 d d))
(.f64 (.f64 d d) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 d b)
(.f64 #s(literal 1 binary64) (.f64 d b))
(*.f64 b d)
(.f64 (.f64 d b) #s(literal 1 binary64))

eval271.0ms (2.6%)

Memory: 17.6MiB live, 409.0MiB allocated
Compiler: Compiled 60 524 to 4 277 computations (92.9% saved)

prune256.0ms (2.4%)

Memory

-2.1MiB live, 342.8MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 870	8	1 878
Fresh	4	11	15
Picked	2	3	5
Done	0	1	1
Total	1 876	23	1 899

Accuracy

100.0%

Counts

1 899 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	18.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	28.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	20.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	64.9%	(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))
	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (.f64 d d)) #s(approx (+ ( a c) (* b d)) (*.f64 a c))))
	45.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
	38.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (-.f64 (/.f64 c a) (/.f64 (.f64 b d) (.f64 a a)))))
	33.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d))) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
▶	28.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
	52.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	56.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	49.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d))
	45.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c))
✓	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
	20.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
	20.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (.f64 d b)))
	45.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
▶	38.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
▶	56.0%	#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d))))

Compiler

Compiled 561 to 359 computations (36% saved)

simplify20.0ms (0.2%)

Memory

-10.8MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 c c) d)
✓	cost-diff	0	(/.f64 b (+.f64 d (/.f64 (*.f64 c c) d)))
✓	cost-diff	0	#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d))))
✓	cost-diff	128	(+.f64 d (/.f64 (*.f64 c c) d))
✓	cost-diff	0	(*.f64 d d)
✓	cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
✓	cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	cost-diff	0	(*.f64 c a)
✓	cost-diff	0	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
✓	cost-diff	0	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) c)
✓	cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
✓	cost-diff	0	(fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))
✓	cost-diff	320	(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))

Rules

260×	`lower-*.f32`
246×	`lower-*.f64`
126×	`lower-/.f32`
112×	`lower-fma.f32`
110×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	320
0	64	315
1	90	301
2	109	301
3	155	301
4	156	301
5	199	301
6	235	296
7	254	294
8	274	292
9	318	292
10	366	292
0	366	282

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))
#s(literal 1 binary64)
(fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)))
d
(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
(fma.f64 c a (*.f64 d b))
c
a
(*.f64 d b)
b
#s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))
(/.f64 c a)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
(*.f64 c a)
c
a
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(literal 1 binary64)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
b
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d))))
(/.f64 b (+.f64 d (/.f64 (*.f64 c c) d)))
b
(+.f64 d (/.f64 (*.f64 c c) d))
d
(/.f64 (*.f64 c c) d)
(*.f64 c c)
c

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))
(/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a))))
#s(literal 1 binary64)
(fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)))
(fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a)))
d
(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
(/.f64 d (fma.f64 d b (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
(/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
c
a
(*.f64 d b)
b
#s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))
(/.f64 c a)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 a c)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
(*.f64 c a)
c
a
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(literal 1 binary64)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
b
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b (fma.f64 c (/.f64 c d) d)))
(/.f64 b (+.f64 d (/.f64 (*.f64 c c) d)))
(/.f64 b (fma.f64 c (/.f64 c d) d))
b
(+.f64 d (/.f64 (*.f64 c c) d))
(fma.f64 c (/.f64 c d) d)
d
(/.f64 (*.f64 c c) d)
(*.f64 c c)
c

localize100.0ms (1%)

Memory

-14.4MiB live, 178.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	95.4%	(/.f64 b (+.f64 d (/.f64 (*.f64 c c) d)))
✓	accuracy	87.7%	(/.f64 (*.f64 c c) d)
✓	accuracy	61.3%	#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d))))
✓	accuracy	98.0%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	accuracy	61.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
✓	accuracy	58.6%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	55.4%	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	60.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	accuracy	58.6%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	47.9%	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) c)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓	accuracy	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))
✓	accuracy	83.1%	(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
✓	accuracy	54.4%	#s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))

Samples

54.0ms

256×

valid

Compiler

Compiled 270 to 31 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 16.0ms (43.8% of total)

ival-mult: 15.0ms (41.1% of total)

ival-add: 5.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

7.1MiB live, 48.6MiB allocated

Counts

21 → 744

Calls

Call 1

Inputs
#<alt (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))>
#<alt (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) c) a)>
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))>
#<alt (/.f64 #s(literal 1 binary64) c)>
#<alt (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))>
#<alt #s(approx (+ (* a c) (* b d)) (*.f64 c a))>
#<alt (*.f64 c a)>
#<alt #s(approx (+ (* c c) (* d d)) (*.f64 d d))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))>
#<alt (*.f64 d d)>
#<alt (+.f64 d (/.f64 (*.f64 c c) d))>
#<alt #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d))))>
#<alt (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d)))>
#<alt (/.f64 (*.f64 c c) d)>
#<alt #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))>
#<alt #s(approx (+ (* a c) (* b d)) (*.f64 d b))>
#<alt (*.f64 c c)>

Outputs
#<alt (/ d (* a c))>
#<alt (* d (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))>
#<alt (* d (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (* d (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))>
#<alt (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))>
#<alt (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) (* -1 (/ (* a c) (pow b 2)))) d)) (/ 1 b))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (* -1 (/ (* a c) (pow b 2)))) d)) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 2))) (/ a (* (pow b 2) d)))) (/ 1 b))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 3)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 2)))))) (/ a (* (pow b 2) d)))) (/ 1 b))>
#<alt (/ d (* a c))>
#<alt (/ (+ (* -1 (/ (* b (pow d 2)) (* (pow a 2) c))) (/ d a)) c)>
#<alt (/ (- (+ (/ d a) (/ (* (pow b 2) (pow d 3)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 2)) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 3) (pow d 4)) (* (pow a 4) (pow c 3)))) (/ d a)) (+ (* -1 (/ (* (pow b 2) (pow d 3)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 2)) (* (pow a 2) c)))) c)>
#<alt (/ d (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ d a)) (/ (* b (pow d 2)) (* (pow a 2) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ d a)) (* -1 (/ (- (/ (* (pow b 2) (pow d 3)) (* (pow a 3) c)) (/ (* b (pow d 2)) (pow a 2))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ d a)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 4)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 3)) (pow a 3))) c)) (/ (* b (pow d 2)) (pow a 2))) c))) c))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) (pow d 2))) (/ c (* (pow b 2) d)))) (/ 1 b))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 3)))) (* -1 (/ (pow c 2) (* (pow b 3) (pow d 2)))))) (/ c (* (pow b 2) d)))) (/ 1 b))>
#<alt (/ d (* a c))>
#<alt (/ (+ (* -1 (/ (* b (pow d 2)) (* a (pow c 2)))) (/ d c)) a)>
#<alt (/ (- (+ (/ d c) (/ (* (pow b 2) (pow d 3)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 2)) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 3) (pow d 4)) (* (pow a 3) (pow c 4)))) (/ d c)) (+ (* -1 (/ (* (pow b 2) (pow d 3)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 2)) (* a (pow c 2))))) a)>
#<alt (/ d (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ d c)) (/ (* b (pow d 2)) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ d c)) (* -1 (/ (- (/ (* (pow b 2) (pow d 3)) (* a (pow c 3))) (/ (* b (pow d 2)) (pow c 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ d c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 4)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 3)) (pow c 3))) a)) (/ (* b (pow d 2)) (pow c 2))) a))) a))>
#<alt (/ d (* a c))>
#<alt (+ (* -1 (/ (* b (pow d 2)) (* (pow a 2) (pow c 2)))) (/ d (* a c)))>
#<alt (+ (* b (- (/ (* b (pow d 3)) (* (pow a 3) (pow c 3))) (/ (pow d 2) (* (pow a 2) (pow c 2))))) (/ d (* a c)))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (pow d 4)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 3) (* (pow a 3) (pow c 3)))))) (/ (pow d 2) (* (pow a 2) (pow c 2))))) (/ d (* a c)))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ (* a c) (* b d)))) b)>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 2)))) (/ (* a c) (* b d))) b)>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 3))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 2)))) (/ (* a c) (* b d)))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (/ (* a c) (* b d)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b (pow d 2))) (/ (* a c) d)) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 3))) (/ (* (pow a 2) (pow c 2)) (pow d 2))) b)) (/ (* a c) d)) b)) 1) b))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (- (* -1 (* d (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2))))) (* -1 (/ b (pow c 2))))) (/ a c))>
#<alt (+ (* d (- (* d (- (* -1 (* d (+ (* -1 (/ (* (pow a 2) (+ (/ b (* (pow a 2) (pow c 2))) (/ (pow b 3) (* (pow a 4) (pow c 2))))) (pow c 2))) (+ (/ (* a (* b (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (pow c 3)) (/ (* b (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2)))) (* a c)))))) (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2))))) (* -1 (/ b (pow c 2))))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (- (+ b (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) b)) (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (pow d 2)))) (* -1 (/ (* a c) d))) d)>
#<alt (/ (- (+ b (* -1 (/ (+ (* -1 (* (pow b 2) (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4))))) (+ (* a (* b (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))))))) (/ (* a (* c (+ (* -1 (/ (* (pow a 2) (pow c 2)) b)) (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))))) b))) (pow d 3)))) (+ (* -1 (/ (* a c) d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* b (pow d 2)))) (/ (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (pow d 2))))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (+ (/ (* (pow a 2) (pow c 2)) (* b d)) (/ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (* -1 (* a c))) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* b (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) d)) (+ (* -1 (/ (* a (* c (+ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* (pow a 2) (pow c 2)) b)))) (* b d))) (* -1 (/ (* (pow b 2) (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4)))) d)))) (+ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* (pow a 2) (pow c 2)) b))) d)) (* -1 (* a c))) d))) d))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2))))) (* -1 (/ a (pow d 2))))) (/ b d))>
#<alt (+ (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* (pow b 2) (+ (/ a (* (pow b 2) (pow d 2))) (/ (pow a 3) (* (pow b 4) (pow d 2))))) (pow d 2))) (+ (/ (* a (* b (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (pow d 3)) (/ (* a (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2)))) (* b d)))))) (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2))))) (* -1 (/ a (pow d 2))))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (- (+ a (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) a)) (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (pow c 2)))) (* -1 (/ (* b d) c))) c)>
#<alt (/ (- (+ a (* -1 (/ (+ (* -1 (* (pow a 2) (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4))))) (+ (* a (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3))))))) (/ (* b (* d (+ (* -1 (/ (* (pow b 2) (pow d 2)) a)) (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))))) a))) (pow c 3)))) (+ (* -1 (/ (* b d) c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* a (pow c 2)))) (/ (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (pow c 2))))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (+ (/ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) c) (/ (* (pow b 2) (pow d 2)) (* a c))) (* -1 (* b d))) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) c)) (+ (* -1 (/ (* b (* d (+ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* (pow b 2) (pow d 2)) a)))) (* a c))) (* -1 (/ (* (pow a 2) (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4)))) c)))) (+ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* (pow b 2) (pow d 2)) a))) c)) (* -1 (* b d))) c))) c))>
#<alt (/ 1 (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (/ 1 (+ (/ d b) (/ (pow c 2) (* b d)))) (/ (* a (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (* -1 (/ (pow (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) 2) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3)))))) (* -1 (/ (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))))) (/ 1 (+ (/ d b) (/ (pow c 2) (* b d)))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3))) (+ (* -1 (/ (+ (/ (pow c 3) (* (pow b 4) (pow d 2))) (/ (pow c 5) (* (pow b 4) (pow d 4)))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (/ (* (+ (* -1 (/ (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (* -1 (/ (pow (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) 2) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3)))) (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d)))))))) (+ (* -1 (/ (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (* -1 (/ (pow (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) 2) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3)))))) (* -1 (/ (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))))) (/ 1 (+ (/ d b) (/ (pow c 2) (* b d)))))>
#<alt (/ a (+ c (/ (pow d 2) c)))>
#<alt (* a (+ (/ 1 (+ c (/ (pow d 2) c))) (+ (/ (* b d) (* a (pow (+ c (/ (pow d 2) c)) 2))) (/ (* b (pow d 3)) (* a (* (pow c 2) (pow (+ c (/ (pow d 2) c)) 2)))))))>
#<alt (* a (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (pow (+ c (/ (pow d 2) c)) 2))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (pow (+ c (/ (pow d 2) c)) 3)))) (pow a 2))) (/ 1 (+ c (/ (pow d 2) c)))) (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (* a (pow (+ c (/ (pow d 2) c)) 2))))))>
#<alt (* a (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) (pow (+ c (/ (pow d 2) c)) 3))) (+ (* -1 (/ (+ (/ (* (pow b 3) (pow d 3)) (pow c 2)) (/ (* (pow b 3) (pow d 5)) (pow c 4))) (pow (+ c (/ (pow d 2) c)) 2))) (/ (* (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (pow (+ c (/ (pow d 2) c)) 2))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (pow (+ c (/ (pow d 2) c)) 3)))) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) (+ c (/ (pow d 2) c))))) (pow a 3))) (/ 1 (+ c (/ (pow d 2) c)))) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (* (pow a 2) (pow (+ c (/ (pow d 2) c)) 2)))) (+ (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (* a (pow (+ c (/ (pow d 2) c)) 2)))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (* (pow a 2) (pow (+ c (/ (pow d 2) c)) 3))))))))>
#<alt (* -1 (/ a (+ (* -1 c) (* -1 (/ (pow d 2) c)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (* a (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 2)))) (/ 1 (+ (* -1 c) (* -1 (/ (pow d 2) c)))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (+ (/ (* (pow b 2) (pow d 2)) c) (/ (* (pow b 2) (pow d 4)) (pow c 3))) (* a (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 2)))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (* a (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 3))))) (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 2)))) a)) (/ 1 (+ (* -1 c) (* -1 (/ (pow d 2) c)))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (+ (/ (* (pow b 2) (pow d 2)) c) (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (* a (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 3)))) (+ (* -1 (/ (+ (/ (* (pow b 3) (pow d 3)) (pow c 2)) (/ (* (pow b 3) (pow d 5)) (pow c 4))) (* a (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 2)))) (/ (* (+ (* -1 (/ (+ (/ (* (pow b 2) (pow d 2)) c) (/ (* (pow b 2) (pow d 4)) (pow c 3))) (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 2))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 3)))) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) (* a (+ (* -1 c) (* -1 (/ (pow d 2) c))))))) (+ (* -1 (/ (+ (/ (* (pow b 2) (pow d 2)) c) (/ (* (pow b 2) (pow d 4)) (pow c 3))) (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 2))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 3))))) a)) (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 2)))) a)) (/ 1 (+ (* -1 c) (* -1 (/ (pow d 2) c)))))))>
#<alt (/ 1 (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (+ (/ 1 (+ (/ c a) (/ (pow d 2) (* a c)))) (/ (* b (+ (/ d (pow a 2)) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (pow (+ (/ c a) (/ (pow d 2) (* a c))) 2)))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (pow d 2) (* (pow a 3) c))) (* -1 (/ (pow d 4) (* (pow a 3) (pow c 3))))) (pow (+ (/ c a) (/ (pow d 2) (* a c))) 2))) (* -1 (/ (pow (+ (/ d (pow a 2)) (/ (pow d 3) (* (pow a 2) (pow c 2)))) 2) (pow (+ (/ c a) (/ (pow d 2) (* a c))) 3)))))) (* -1 (/ (+ (/ d (pow a 2)) (/ (pow d 3) (* (pow a 2) (pow c 2)))) (pow (+ (/ c a) (/ (pow d 2) (* a c))) 2))))) (/ 1 (+ (/ c a) (/ (pow d 2) (* a c)))))>
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#<alt (/ (+ c (* -1 (/ (* b d) a))) a)>
#<alt (/ (- (+ c (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a)) a)>
#<alt (/ (- (+ c (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a))) a)>
#<alt (/ c a)>
#<alt (* -1 (/ (+ (* -1 c) (/ (* b d) a)) a))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a c)) (* b d)) a))) a))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 2) (pow d 2)) c)) a)) (* b d)) a))) a))>
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) c)) (/ b (pow a 2)))) (/ c a))>
#<alt (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (/ (pow c 2) (* b d))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) d))) (/ (pow c 2) b)) d)>
#<alt (/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2))) (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d)>
#<alt (/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 4) (pow d 3)))) (/ (pow c 2) b)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2)))) (/ (* a (pow c 3)) (* (pow b 2) d)))) d)>
#<alt (/ (pow c 2) (* b d))>
#<alt (* -1 (/ (+ (* -1 (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* (pow b 3) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 4)) (pow b 3))) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d))>
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) c)) (/ d (pow a 2)))) (/ c a))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow d 2) (* (pow a 3) c))))) (/ d (pow a 2)))) (/ c a))>
#<alt (/ (pow c 2) (* b d))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (pow c 2) d)) b)>
#<alt (/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3))) (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3)))) (/ (* a (pow c 3)) (* b (pow d 2))))) b)>
#<alt (/ (pow c 2) (* b d))>
#<alt (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* b (pow d 3))) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 4)) (pow d 3))) b)) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>

Calls

186 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/ b (+ d (/ (* c c) d)))
1.0ms	b	@	inf	(/ b (+ d (/ (* c c) d)))
0.0ms	b	@	-inf	(/ b (+ d (/ (* c c) d)))
0.0ms	d	@	-inf	(/ b (+ d (/ (* c c) d)))
0.0ms	d	@	0	(+ d (/ (* c c) d))

simplify371.0ms (3.5%)

Memory

51.1MiB live, 614.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 160×	`lower-*.f64`
5 160×	`lower-*.f32`
3 948×	`lower-fma.f64`
3 948×	`lower-fma.f32`
3 150×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1669	18869
1	5791	18290
0	8167	17700

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 741

Calls

Call 1

Inputs
(/ d (* a c))
(* d (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(* d (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(* d (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(/ 1 b)
(+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))
(- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))
(- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))
(/ 1 b)
(+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))
(+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) (* -1 (/ (* a c) (pow b 2)))) d)) (/ 1 b))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (* -1 (/ (* a c) (pow b 2)))) d)) (/ 1 b))
(/ 1 b)
(+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))
(+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 2))) (/ a (* (pow b 2) d)))) (/ 1 b))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 3)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 2)))))) (/ a (* (pow b 2) d)))) (/ 1 b))
(/ d (* a c))
(/ (+ (* -1 (/ (* b (pow d 2)) (* (pow a 2) c))) (/ d a)) c)
(/ (- (+ (/ d a) (/ (* (pow b 2) (pow d 3)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 2)) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 4)) (* (pow a 4) (pow c 3)))) (/ d a)) (+ (* -1 (/ (* (pow b 2) (pow d 3)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 2)) (* (pow a 2) c)))) c)
(/ d (* a c))
(* -1 (/ (+ (* -1 (/ d a)) (/ (* b (pow d 2)) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ d a)) (* -1 (/ (- (/ (* (pow b 2) (pow d 3)) (* (pow a 3) c)) (/ (* b (pow d 2)) (pow a 2))) c))) c))
(* -1 (/ (+ (* -1 (/ d a)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 4)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 3)) (pow a 3))) c)) (/ (* b (pow d 2)) (pow a 2))) c))) c))
(/ 1 b)
(+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) (pow d 2))) (/ c (* (pow b 2) d)))) (/ 1 b))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 3)))) (* -1 (/ (pow c 2) (* (pow b 3) (pow d 2)))))) (/ c (* (pow b 2) d)))) (/ 1 b))
(/ d (* a c))
(/ (+ (* -1 (/ (* b (pow d 2)) (* a (pow c 2)))) (/ d c)) a)
(/ (- (+ (/ d c) (/ (* (pow b 2) (pow d 3)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 2)) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 4)) (* (pow a 3) (pow c 4)))) (/ d c)) (+ (* -1 (/ (* (pow b 2) (pow d 3)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 2)) (* a (pow c 2))))) a)
(/ d (* a c))
(* -1 (/ (+ (* -1 (/ d c)) (/ (* b (pow d 2)) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ d c)) (* -1 (/ (- (/ (* (pow b 2) (pow d 3)) (* a (pow c 3))) (/ (* b (pow d 2)) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ d c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 4)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 3)) (pow c 3))) a)) (/ (* b (pow d 2)) (pow c 2))) a))) a))
(/ d (* a c))
(+ (* -1 (/ (* b (pow d 2)) (* (pow a 2) (pow c 2)))) (/ d (* a c)))
(+ (* b (- (/ (* b (pow d 3)) (* (pow a 3) (pow c 3))) (/ (pow d 2) (* (pow a 2) (pow c 2))))) (/ d (* a c)))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 4)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 3) (* (pow a 3) (pow c 3)))))) (/ (pow d 2) (* (pow a 2) (pow c 2))))) (/ d (* a c)))
(/ 1 b)
(/ (+ 1 (* -1 (/ (* a c) (* b d)))) b)
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 2)))) (/ (* a c) (* b d))) b)
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 3))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 2)))) (/ (* a c) (* b d)))) b)
(/ 1 b)
(* -1 (/ (- (/ (* a c) (* b d)) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b (pow d 2))) (/ (* a c) d)) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 3))) (/ (* (pow a 2) (pow c 2)) (pow d 2))) b)) (/ (* a c) d)) b)) 1) b))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (- (* -1 (* d (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2))))) (* -1 (/ b (pow c 2))))) (/ a c))
(+ (* d (- (* d (- (* -1 (* d (+ (* -1 (/ (* (pow a 2) (+ (/ b (* (pow a 2) (pow c 2))) (/ (pow b 3) (* (pow a 4) (pow c 2))))) (pow c 2))) (+ (/ (* a (* b (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (pow c 3)) (/ (* b (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2)))) (* a c)))))) (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2))))) (* -1 (/ b (pow c 2))))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (- (+ b (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) b)) (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (pow d 2)))) (* -1 (/ (* a c) d))) d)
(/ (- (+ b (* -1 (/ (+ (* -1 (* (pow b 2) (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4))))) (+ (* a (* b (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))))))) (/ (* a (* c (+ (* -1 (/ (* (pow a 2) (pow c 2)) b)) (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))))) b))) (pow d 3)))) (+ (* -1 (/ (* a c) d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* b (pow d 2)))) (/ (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (pow d 2))))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (+ (/ (* (pow a 2) (pow c 2)) (* b d)) (/ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (* -1 (* a c))) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* b (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) d)) (+ (* -1 (/ (* a (* c (+ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* (pow a 2) (pow c 2)) b)))) (* b d))) (* -1 (/ (* (pow b 2) (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4)))) d)))) (+ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* (pow a 2) (pow c 2)) b))) d)) (* -1 (* a c))) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2))))) (* -1 (/ a (pow d 2))))) (/ b d))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* (pow b 2) (+ (/ a (* (pow b 2) (pow d 2))) (/ (pow a 3) (* (pow b 4) (pow d 2))))) (pow d 2))) (+ (/ (* a (* b (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (pow d 3)) (/ (* a (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2)))) (* b d)))))) (+ (* -1 (/ (pow a 2) (* b (pow d 3)))) (/ (* (pow b 2) (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (pow d 2))))) (* -1 (/ a (pow d 2))))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (- (+ a (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) a)) (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (pow c 2)))) (* -1 (/ (* b d) c))) c)
(/ (- (+ a (* -1 (/ (+ (* -1 (* (pow a 2) (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4))))) (+ (* a (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3))))))) (/ (* b (* d (+ (* -1 (/ (* (pow b 2) (pow d 2)) a)) (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))))) a))) (pow c 3)))) (+ (* -1 (/ (* b d) c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* a (pow c 2)))) (/ (* (pow a 2) (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (pow c 2))))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (+ (/ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) c) (/ (* (pow b 2) (pow d 2)) (* a c))) (* -1 (* b d))) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) c)) (+ (* -1 (/ (* b (* d (+ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* (pow b 2) (pow d 2)) a)))) (* a c))) (* -1 (/ (* (pow a 2) (+ (/ (* b (pow d 3)) (pow a 2)) (/ (* (pow b 3) (pow d 3)) (pow a 4)))) c)))) (+ (* (pow a 2) (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* (pow b 2) (pow d 2)) a))) c)) (* -1 (* b d))) c))) c))
(/ 1 (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (/ 1 (+ (/ d b) (/ (pow c 2) (* b d)))) (/ (* a (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (* -1 (/ (pow (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) 2) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3)))))) (* -1 (/ (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))))) (/ 1 (+ (/ d b) (/ (pow c 2) (* b d)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3))) (+ (* -1 (/ (+ (/ (pow c 3) (* (pow b 4) (pow d 2))) (/ (pow c 5) (* (pow b 4) (pow d 4)))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (/ (* (+ (* -1 (/ (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (* -1 (/ (pow (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) 2) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3)))) (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d)))))))) (+ (* -1 (/ (+ (* -1 (/ (pow c 2) (* (pow b 3) d))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3))))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))) (* -1 (/ (pow (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) 2) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 3)))))) (* -1 (/ (+ (/ c (pow b 2)) (/ (pow c 3) (* (pow b 2) (pow d 2)))) (pow (+ (/ d b) (/ (pow c 2) (* b d))) 2))))) (/ 1 (+ (/ d b) (/ (pow c 2) (* b d)))))
(/ a (+ c (/ (pow d 2) c)))
(* a (+ (/ 1 (+ c (/ (pow d 2) c))) (+ (/ (* b d) (* a (pow (+ c (/ (pow d 2) c)) 2))) (/ (* b (pow d 3)) (* a (* (pow c 2) (pow (+ c (/ (pow d 2) c)) 2)))))))
(* a (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (pow (+ c (/ (pow d 2) c)) 2))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (pow (+ c (/ (pow d 2) c)) 3)))) (pow a 2))) (/ 1 (+ c (/ (pow d 2) c)))) (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (* a (pow (+ c (/ (pow d 2) c)) 2))))))
(* a (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) (pow (+ c (/ (pow d 2) c)) 3))) (+ (* -1 (/ (+ (/ (* (pow b 3) (pow d 3)) (pow c 2)) (/ (* (pow b 3) (pow d 5)) (pow c 4))) (pow (+ c (/ (pow d 2) c)) 2))) (/ (* (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (pow (+ c (/ (pow d 2) c)) 2))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (pow (+ c (/ (pow d 2) c)) 3)))) (+ (* b d) (/ (* b (pow d 3)) (pow c 2)))) (+ c (/ (pow d 2) c))))) (pow a 3))) (/ 1 (+ c (/ (pow d 2) c)))) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (pow d 2)) c)) (* -1 (/ (* (pow b 2) (pow d 4)) (pow c 3)))) (* (pow a 2) (pow (+ c (/ (pow d 2) c)) 2)))) (+ (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (* a (pow (+ c (/ (pow d 2) c)) 2)))) (* -1 (/ (pow (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) 2) (* (pow a 2) (pow (+ c (/ (pow d 2) c)) 3))))))))
(* -1 (/ a (+ (* -1 c) (* -1 (/ (pow d 2) c)))))
(* -1 (* a (+ (* -1 (/ (+ (* b d) (/ (* b (pow d 3)) (pow c 2))) (* a (pow (+ (* -1 c) (* -1 (/ (pow d 2) c))) 2)))) (/ 1 (+ (* -1 c) (* -1 (/ (pow d 2) c)))))))
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d
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(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)

Outputs
(/ d (* a c))
(/.f64 d (*.f64 a c))
(* d (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(.f64 d (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 d b) (.f64 (.f64 a c) (.f64 a c)))))
(* d (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(.f64 d (fma.f64 d (-.f64 (/.f64 (.f64 d (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (/.f64 b (.f64 (.f64 a c) (.f64 a c)))) (/.f64 #s(literal 1 binary64) (.f64 a c))))
(* d (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(.f64 d (fma.f64 d (-.f64 (.f64 d (fma.f64 (neg.f64 (.f64 b (.f64 b b))) (/.f64 d (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (.f64 b b) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))) (/.f64 b (.f64 (.f64 a c) (.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 a c) (.f64 d (*.f64 b b))))
(- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))
(-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 (.f64 b (.f64 b b)) (.f64 d d))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (.f64 a c) (.f64 d (*.f64 b b))))
(- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))
(-.f64 (fma.f64 (neg.f64 (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 d (.f64 d d)))) (/.f64 #s(literal 1 binary64) b)) (fma.f64 a (/.f64 c (.f64 d (.f64 b b))) (.f64 (neg.f64 (.f64 a a)) (/.f64 (.f64 c c) (.f64 (.f64 b (.f64 b b)) (.f64 d d))))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 a c) (.f64 d (*.f64 b b))))
(+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) (* -1 (/ (* a c) (pow b 2)))) d)) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (-.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 d (.f64 b (.f64 b b)))) (/.f64 (.f64 a c) (.f64 b b))) d))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (* -1 (/ (* a c) (pow b 2)))) d)) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (.f64 d (pow.f64 b #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b b)))) d) (/.f64 (.f64 a c) (.f64 b b))) d))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 a c) (.f64 d (*.f64 b b))))
(+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 2))) (/ a (* (pow b 2) d)))) (/ 1 b))
(fma.f64 c (-.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 d d))) (/.f64 a (.f64 d (.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 3)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 2)))))) (/ a (* (pow b 2) d)))) (/ 1 b))
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 (.f64 a (.f64 a a))) (/.f64 c (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 d (.f64 d d)))) (/.f64 (.f64 a a) (.f64 (.f64 b (.f64 b b)) (.f64 d d)))) (neg.f64 (/.f64 a (.f64 d (.f64 b b))))) (/.f64 #s(literal 1 binary64) b))
(/ d (* a c))
(/.f64 d (*.f64 a c))
(/ (+ (* -1 (/ (* b (pow d 2)) (* (pow a 2) c))) (/ d a)) c)
(/.f64 (-.f64 (/.f64 d a) (/.f64 (.f64 b (.f64 d d)) (.f64 c (.f64 a a)))) c)
(/ (- (+ (/ d a) (/ (* (pow b 2) (pow d 3)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 2)) (* (pow a 2) c))) c)
(/.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 d (.f64 d d)) (.f64 (.f64 c c) (.f64 a (.f64 a a)))) (/.f64 d a)) (/.f64 (.f64 b (.f64 d d)) (.f64 c (*.f64 a a)))) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 4)) (* (pow a 4) (pow c 3)))) (/ d a)) (+ (* -1 (/ (* (pow b 2) (pow d 3)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 2)) (* (pow a 2) c)))) c)
(/.f64 (-.f64 (fma.f64 (neg.f64 (.f64 b (.f64 b b))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 d a)) (-.f64 (/.f64 (.f64 b (.f64 d d)) (.f64 c (.f64 a a))) (/.f64 (.f64 (.f64 b b) (.f64 d (.f64 d d))) (.f64 (.f64 c c) (.f64 a (*.f64 a a)))))) c)
(/ d (* a c))
(/.f64 d (*.f64 a c))
(* -1 (/ (+ (* -1 (/ d a)) (/ (* b (pow d 2)) (* (pow a 2) c))) c))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 b (.f64 d d)) (.f64 c (.f64 a a))) (/.f64 d a)) c))
(* -1 (/ (+ (* -1 (/ d a)) (* -1 (/ (- (/ (* (pow b 2) (pow d 3)) (* (pow a 3) c)) (/ (* b (pow d 2)) (pow a 2))) c))) c))
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 d) a) (/.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 a (.f64 a a)))) (.f64 (neg.f64 b) (/.f64 (.f64 d d) (*.f64 a a)))) c)) c))
(* -1 (/ (+ (* -1 (/ d a)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 4)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 3)) (pow a 3))) c)) (/ (* b (pow d 2)) (pow a 2))) c))) c))
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 d) a) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (pow.f64 d #s(literal 4 binary64))) (.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 b b) (.f64 d (.f64 d d))) (.f64 a (.f64 a a))))) c) (/.f64 (.f64 b (.f64 d d)) (*.f64 a a))) c)) c))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 a c) (.f64 d (*.f64 b b))))
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) (pow d 2))) (/ c (* (pow b 2) d)))) (/ 1 b))
(fma.f64 a (-.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 (.f64 b (.f64 b b)) (.f64 d d))) (/.f64 c (.f64 d (.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 3)))) (* -1 (/ (pow c 2) (* (pow b 3) (pow d 2)))))) (/ c (* (pow b 2) d)))) (/ 1 b))
(fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (/.f64 (.f64 c (.f64 c c)) (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 d (.f64 d d)))) (/.f64 (.f64 c c) (.f64 (.f64 b (.f64 b b)) (.f64 d d)))) (neg.f64 (/.f64 c (.f64 d (.f64 b b))))) (/.f64 #s(literal 1 binary64) b))
(/ d (* a c))
(/.f64 d (*.f64 a c))
(/ (+ (* -1 (/ (* b (pow d 2)) (* a (pow c 2)))) (/ d c)) a)
(/.f64 (-.f64 (/.f64 d c) (/.f64 (.f64 b (.f64 d d)) (.f64 a (.f64 c c)))) a)
(/ (- (+ (/ d c) (/ (* (pow b 2) (pow d 3)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 2)) (* a (pow c 2)))) a)
(/.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 d (.f64 d d)) (.f64 (.f64 a a) (.f64 c (.f64 c c)))) (/.f64 d c)) (/.f64 (.f64 b (.f64 d d)) (.f64 a (*.f64 c c)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 4)) (* (pow a 3) (pow c 4)))) (/ d c)) (+ (* -1 (/ (* (pow b 2) (pow d 3)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 2)) (* a (pow c 2))))) a)
(/.f64 (-.f64 (-.f64 (/.f64 d c) (/.f64 (.f64 (.f64 b (.f64 b b)) (pow.f64 d #s(literal 4 binary64))) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 4 binary64))))) (fma.f64 (neg.f64 (.f64 b b)) (/.f64 (.f64 d (.f64 d d)) (.f64 (.f64 a a) (.f64 c (.f64 c c)))) (/.f64 (.f64 b (.f64 d d)) (.f64 a (*.f64 c c))))) a)
(/ d (* a c))
(/.f64 d (*.f64 a c))
(* -1 (/ (+ (* -1 (/ d c)) (/ (* b (pow d 2)) (* a (pow c 2)))) a))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 b (.f64 d d)) (.f64 a (.f64 c c))) (/.f64 d c)) a))
(* -1 (/ (+ (* -1 (/ d c)) (* -1 (/ (- (/ (* (pow b 2) (pow d 3)) (* a (pow c 3))) (/ (* b (pow d 2)) (pow c 2))) a))) a))
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 d) c) (/.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 c (.f64 c c)))) (.f64 (neg.f64 b) (/.f64 (.f64 d d) (*.f64 c c)))) a)) a))
(* -1 (/ (+ (* -1 (/ d c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 4)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 3)) (pow c 3))) a)) (/ (* b (pow d 2)) (pow c 2))) a))) a))
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 d) c) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 b (.f64 b b)) (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 a (pow.f64 c #s(literal 4 binary64)))) (.f64 (neg.f64 (.f64 b b)) (/.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) a)) (/.f64 (.f64 b (.f64 d d)) (.f64 c c))) a)) a))
(/ d (* a c))
(/.f64 d (*.f64 a c))
(+ (* -1 (/ (* b (pow d 2)) (* (pow a 2) (pow c 2)))) (/ d (* a c)))
(fma.f64 (neg.f64 b) (/.f64 (.f64 d d) (.f64 (.f64 a c) (.f64 a c))) (/.f64 d (*.f64 a c)))
(+ (* b (- (/ (* b (pow d 3)) (* (pow a 3) (pow c 3))) (/ (pow d 2) (* (pow a 2) (pow c 2))))) (/ d (* a c)))
(fma.f64 b (-.f64 (/.f64 (.f64 b (.f64 d (.f64 d d))) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (/.f64 (.f64 d d) (.f64 (.f64 a c) (.f64 a c)))) (/.f64 d (*.f64 a c)))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 4)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 3) (* (pow a 3) (pow c 3)))))) (/ (pow d 2) (* (pow a 2) (pow c 2))))) (/ d (* a c)))
(fma.f64 b (-.f64 (.f64 b (fma.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (.f64 d (.f64 d d)) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))) (/.f64 (.f64 d d) (.f64 (.f64 a c) (.f64 a c)))) (/.f64 d (.f64 a c)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ (* a c) (* b d)))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 d b)))) b)
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 2)))) (/ (* a c) (* b d))) b)
(/.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 (.f64 d b) (.f64 d b))) #s(literal 1 binary64)) (.f64 a (/.f64 c (*.f64 d b)))) b)
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 3))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 2)))) (/ (* a c) (* b d)))) b)
(/.f64 (-.f64 (fma.f64 (neg.f64 (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b (.f64 b b)) (.f64 d (.f64 d d)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 a a)) (/.f64 (.f64 c c) (.f64 (.f64 d b) (.f64 d b))) (.f64 a (/.f64 c (.f64 d b))))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ (* a c) (* b d)) 1) b))
(neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal -1 binary64)) b))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b (pow d 2))) (/ (* a c) d)) b)) 1) b))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 b (.f64 d d))) (neg.f64 (/.f64 (*.f64 a c) d))) b)) #s(literal -1 binary64)) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 3))) (/ (* (pow a 2) (pow c 2)) (pow d 2))) b)) (/ (* a c) d)) b)) 1) b))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (.f64 b (.f64 d (.f64 d d)))) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 d d))) b)) (/.f64 (*.f64 a c) d)) b)) #s(literal -1 binary64)) b))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (- (* -1 (* d (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2))))) (* -1 (/ b (pow c 2))))) (/ a c))
(fma.f64 d (fma.f64 (neg.f64 d) (-.f64 (/.f64 (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (.f64 c c)) (/.f64 (.f64 b b) (.f64 a (.f64 c (.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(+ (* d (- (* d (- (* -1 (* d (+ (* -1 (/ (* (pow a 2) (+ (/ b (* (pow a 2) (pow c 2))) (/ (pow b 3) (* (pow a 4) (pow c 2))))) (pow c 2))) (+ (/ (* a (* b (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (pow c 3)) (/ (* b (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2)))) (* a c)))))) (+ (* -1 (/ (pow b 2) (* a (pow c 3)))) (/ (* (pow a 2) (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (pow c 2))))) (* -1 (/ b (pow c 2))))) (/ a c))
(fma.f64 d (fma.f64 d (fma.f64 (neg.f64 d) (-.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (.f64 c c)) (/.f64 (.f64 b b) (.f64 a (.f64 c (.f64 c c))))) (.f64 a c)) (/.f64 (.f64 (.f64 a b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (.f64 c (.f64 c c)))) (/.f64 (.f64 (.f64 a a) (+.f64 (/.f64 b (.f64 (.f64 a c) (.f64 a c))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 c c) (pow.f64 a #s(literal 4 binary64)))))) (.f64 c c))) (neg.f64 (-.f64 (/.f64 (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (.f64 c c)) (/.f64 (.f64 b b) (.f64 a (.f64 c (.f64 c c))))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (- (+ b (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) b)) (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (pow d 2)))) (* -1 (/ (* a c) d))) d)
(/.f64 (+.f64 (-.f64 b (/.f64 (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b b))))) (.f64 (.f64 a a) (/.f64 (.f64 c c) b))) (.f64 d d))) (/.f64 (*.f64 a c) d)) d)
(/ (- (+ b (* -1 (/ (+ (* -1 (* (pow b 2) (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4))))) (+ (* a (* b (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))))))) (/ (* a (* c (+ (* -1 (/ (* (pow a 2) (pow c 2)) b)) (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))))) b))) (pow d 3)))) (+ (* -1 (/ (* a c) d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* b (pow d 2)))) (/ (* (pow b 2) (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (pow d 2))))) d)
(/.f64 (-.f64 (-.f64 b (/.f64 (-.f64 (fma.f64 a (/.f64 (.f64 c (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b b))))) (.f64 (.f64 a a) (/.f64 (.f64 c c) b)))) b) (.f64 a (.f64 (.f64 c b) (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b b))))))) (.f64 (.f64 b b) (fma.f64 a (/.f64 (.f64 c (.f64 c c)) (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64)))))) (.f64 d (.f64 d d)))) (-.f64 (-.f64 (/.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b b))))) (.f64 d d)) (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 d d)))) (/.f64 (.f64 a c) d))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (+ (/ (* (pow a 2) (pow c 2)) (* b d)) (/ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (* -1 (* a c))) d))) d))
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(* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* b (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) d)) (+ (* -1 (/ (* a (* c (+ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* (pow a 2) (pow c 2)) b)))) (* b d))) (* -1 (/ (* (pow b 2) (+ (/ (* a (pow c 3)) (pow b 2)) (/ (* (pow a 3) (pow c 3)) (pow b 4)))) d)))) (+ (* (pow b 2) (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* (pow a 2) (pow c 2)) b))) d)) (* -1 (* a c))) d))) d))
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(neg.f64 (/.f64 (-.f64 (neg.f64 c) (/.f64 (-.f64 (/.f64 (.f64 (.f64 d b) (.f64 d b)) (.f64 a c)) (*.f64 d b)) a)) a))
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 2) (pow d 2)) c)) a)) (* b d)) a))) a))
(neg.f64 (/.f64 (-.f64 (neg.f64 c) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 c c))) (.f64 (neg.f64 (.f64 b b)) (/.f64 (.f64 d d) c))) a)) (.f64 d b)) a)) a))
(/ c a)
(/.f64 c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(-.f64 (/.f64 c a) (/.f64 (.f64 d b) (.f64 a a)))
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) c)) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (-.f64 (/.f64 (.f64 d (.f64 b b)) (.f64 c (.f64 a (.f64 a a)))) (/.f64 b (.f64 a a))) (/.f64 c a))
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (-.f64 (.f64 d (fma.f64 (neg.f64 (.f64 b (.f64 b b))) (/.f64 d (.f64 (.f64 c c) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 b b) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 b (.f64 a a))) (/.f64 c a))
(/ (pow c 2) (* b d))
(/.f64 (.f64 c c) (.f64 d b))
(/ (+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) d))) (/ (pow c 2) b)) d)
(/.f64 (-.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 d (.f64 b b)))) d)
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2))) (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d)
(/.f64 (fma.f64 (.f64 a a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (.f64 b (.f64 b b)) (.f64 d d))) (-.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 d (*.f64 b b))))) d)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 4) (pow d 3)))) (/ (pow c 2) b)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2)))) (/ (* a (pow c 3)) (* (pow b 2) d)))) d)
(/.f64 (-.f64 (fma.f64 (neg.f64 (.f64 a (.f64 a a))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 d (.f64 d d)))) (/.f64 (.f64 c c) b)) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 d (.f64 b b))) (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 4 binary64))) (.f64 (.f64 b (.f64 b b)) (*.f64 d d))))) d)
(/ (pow c 2) (* b d))
(/.f64 (.f64 c c) (.f64 d b))
(* -1 (/ (+ (* -1 (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 d (.f64 b b))) (/.f64 (.f64 c c) b)) d))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* (pow b 3) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 c c) b)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 4 binary64))) (.f64 d (.f64 b (.f64 b b)))) (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 b b))) d)) d))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 4)) (pow b 3))) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 c c) b)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))) (.f64 d (pow.f64 b #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 4 binary64))) (.f64 b (.f64 b b)))) d)) (/.f64 (.f64 a (.f64 c (.f64 c c))) (*.f64 b b))) d)) d))
(/ c a)
(/.f64 c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(-.f64 (/.f64 c a) (/.f64 (.f64 d b) (.f64 a a)))
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) c)) (/ d (pow a 2)))) (/ c a))
(fma.f64 b (-.f64 (/.f64 (.f64 b (.f64 d d)) (.f64 c (.f64 a (.f64 a a)))) (/.f64 d (.f64 a a))) (/.f64 c a))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow d 2) (* (pow a 3) c))))) (/ d (pow a 2)))) (/ c a))
(fma.f64 b (fma.f64 b (fma.f64 (neg.f64 b) (/.f64 (.f64 d (.f64 d d)) (.f64 (.f64 c c) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 d d) (.f64 c (.f64 a (.f64 a a))))) (neg.f64 (/.f64 d (*.f64 a a)))) (/.f64 c a))
(/ (pow c 2) (* b d))
(/.f64 (.f64 c c) (.f64 d b))
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (pow c 2) d)) b)
(/.f64 (-.f64 (/.f64 (.f64 c c) d) (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 b (.f64 d d)))) b)
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3))) (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b)
(/.f64 (fma.f64 (.f64 a a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (.f64 b b) (.f64 d (.f64 d d)))) (-.f64 (/.f64 (.f64 c c) d) (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 b (*.f64 d d))))) b)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3)))) (/ (* a (pow c 3)) (* b (pow d 2))))) b)
(/.f64 (-.f64 (fma.f64 (neg.f64 (.f64 a (.f64 a a))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 b (.f64 b b)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 c c) d)) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 b (.f64 d d))) (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 d (*.f64 d d)))))) b)
(/ (pow c 2) (* b d))
(/.f64 (.f64 c c) (.f64 d b))
(* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 b (.f64 d d))) (/.f64 (.f64 c c) d)) b))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* b (pow d 3))) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 c c) d)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 4 binary64))) (.f64 b (.f64 d (.f64 d d)))) (/.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 d d))) b)) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 4)) (pow d 3))) b)) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 c c) d)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))) (.f64 b (pow.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 4 binary64))) (.f64 d (.f64 d d)))) b)) (/.f64 (.f64 a (.f64 c (.f64 c c))) (*.f64 d d))) b)) b))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d a) c)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d a) c)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d a) c)))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 b (/.f64 d c) a)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 b (/.f64 d c) a)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 b (/.f64 d c) a)))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(* b d)
(*.f64 d b)
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b d)
(*.f64 d b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 a c))
(* b d)
(*.f64 d b)
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 d) (neg.f64 (fma.f64 a (/.f64 c d) b)))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 d) (neg.f64 (fma.f64 a (/.f64 c d) b)))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 d) (neg.f64 (fma.f64 a (/.f64 c d) b)))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)

rewrite357.0ms (3.4%)

Memory

-49.9MiB live, 534.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 692×	`lower-fma.f32`
5 688×	`lower-fma.f64`
4 544×	`lower-/.f32`
4 528×	`lower-/.f64`
3 898×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	274
0	64	261
1	241	250
2	1449	246
0	8330	237

Stop Event

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

Counts

21 → 373

Calls

Call 1

Inputs
(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b))))
(/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))
(fma.f64 d (.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 d b)))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(/.f64 #s(literal 1 binary64) c)
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 d d)
(+.f64 d (/.f64 (*.f64 c c) d))
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d))))
(/.f64 b (+.f64 d (/.f64 (*.f64 c c) d)))
(/.f64 (*.f64 c c) d)
#s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 c c)

Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d b (.f64 c a)))) (/.f64 d (neg.f64 (fma.f64 d b (.f64 c a)))))
(/.f64 d (fma.f64 d b (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d b (*.f64 c a)) d))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (.f64 d #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d)))
(/.f64 (neg.f64 d) (neg.f64 (fma.f64 d b (*.f64 c a))))
(/.f64 (.f64 d #s(literal -1 binary64)) (neg.f64 (fma.f64 d b (.f64 c a))))
(/.f64 (neg.f64 (.f64 d #s(literal -1 binary64))) (fma.f64 d b (.f64 c a)))
(pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) #s(literal -1 binary64))
(.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))))
(.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 d b (.f64 c a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a))) d)
(.f64 (/.f64 d (fma.f64 d b (.f64 c a))) #s(literal 1 binary64))
(.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a))))
(.f64 (.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 d b (*.f64 c a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (.f64 d (.f64 b (.f64 d b))) (.f64 (.f64 c a) (.f64 (.f64 c c) (.f64 a a))))) (/.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 c c) (.f64 a a))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 d (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (*.f64 d b)))))
(.f64 (/.f64 d (fma.f64 (.f64 d b) (.f64 d (.f64 b (.f64 d b))) (.f64 (.f64 c a) (.f64 (.f64 c c) (.f64 a a))))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 c c) (.f64 a a))))
(.f64 (/.f64 d (fma.f64 (.f64 d b) (.f64 d (.f64 b (.f64 d b))) (.f64 (.f64 c a) (.f64 (.f64 c c) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (.f64 (.f64 c c) (.f64 a a))))))
(.f64 (/.f64 d (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (-.f64 (.f64 c a) (*.f64 d b)))
(.f64 (/.f64 d (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c a) (.f64 d b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (*.f64 d b)))))
(.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 d b (.f64 c a))))
(exp.f64 (.f64 (log.f64 (fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a)))))
(-.f64 (/.f64 (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))) (.f64 (fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))) (-.f64 (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))) (/.f64 #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)) (.f64 (fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))) (-.f64 (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a))) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))))))
(-.f64 (/.f64 (fma.f64 (.f64 d d) (.f64 (/.f64 d (fma.f64 d b (.f64 c a))) (/.f64 d (fma.f64 d b (.f64 c a)))) (.f64 #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a)) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)))) (fma.f64 #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)) (.f64 #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a)) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))) (/.f64 (.f64 (.f64 d d) (.f64 d (.f64 d (.f64 d d)))) (.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d b (.f64 c a))))))) (/.f64 (.f64 #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a)) (/.f64 (.f64 d d) (fma.f64 d b (.f64 c a)))) (fma.f64 #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a)) (.f64 #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a)) #s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))) (/.f64 (.f64 (.f64 d d) (.f64 d (.f64 d (.f64 d d)))) (.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d b (.f64 c a))))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a)))))
(/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 d (fma.f64 d b (.f64 c a))) #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 d d) (-.f64 d (/.f64 (.f64 c c) d))) (/.f64 (.f64 d d) (-.f64 d (/.f64 (.f64 c c) d)))) (.f64 (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d)) (-.f64 d (/.f64 (.f64 c c) d))) (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d)) (-.f64 d (/.f64 (.f64 c c) d))))) (+.f64 (/.f64 (.f64 d d) (-.f64 d (/.f64 (.f64 c c) d))) (/.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d)) (-.f64 d (/.f64 (*.f64 c c) d)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 c d) d)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 c d) d))
(*.f64 (fma.f64 c (/.f64 c d) d) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 c (/.f64 c d) d)))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 d (.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 c c) d) (fma.f64 c (/.f64 c d) (neg.f64 d)) (*.f64 d d))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 d (.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d)) (-.f64 (.f64 d d) (/.f64 (.f64 d (.f64 c c)) d)))))
(.f64 (-.f64 (.f64 d d) (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 d (/.f64 (*.f64 c c) d))))
(.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 d (.f64 d d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (.f64 c c) d) (fma.f64 c (/.f64 c d) (neg.f64 d)) (*.f64 d d)))))
(.f64 (neg.f64 (-.f64 (.f64 d d) (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 d (/.f64 (*.f64 c c) d)))))
(.f64 (-.f64 (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d)) (.f64 d d)) (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 c d) (neg.f64 d))))
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 c (/.f64 c d) d)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c (/.f64 c d) d) b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 (fma.f64 c (/.f64 c d) d))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c (/.f64 c d) d))) (/.f64 b (neg.f64 (fma.f64 c (/.f64 c d) d))))
(neg.f64 (/.f64 b (neg.f64 (fma.f64 c (/.f64 c d) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (/.f64 c d) d) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 c (/.f64 c d) d) b))))
(/.f64 b (fma.f64 c (/.f64 c d) d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 c (/.f64 c d) d) b)))
(/.f64 (neg.f64 b) (neg.f64 (fma.f64 c (/.f64 c d) d)))
(pow.f64 (/.f64 (fma.f64 c (/.f64 c d) d) b) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b (fma.f64 c (/.f64 c d) d)))
(*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 c d) d)))
(*.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 (fma.f64 c (/.f64 c d) d))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 c (/.f64 c d) d) b))))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (fma.f64 c (/.f64 c d) d)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 c d) d)) b)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 c d) d)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(.f64 (/.f64 b (fma.f64 (.f64 c (.f64 c c)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 d (.f64 d d)))) (fma.f64 (/.f64 (.f64 c c) d) (fma.f64 c (/.f64 c d) (neg.f64 d)) (*.f64 d d)))
(.f64 (/.f64 b (fma.f64 (.f64 c (.f64 c c)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 d (.f64 d d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 c c) d) (fma.f64 c (/.f64 c d) (neg.f64 d)) (*.f64 d d)))))
(.f64 (/.f64 b (-.f64 (.f64 d d) (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d)))) (-.f64 d (/.f64 (*.f64 c c) d)))
(.f64 (/.f64 b (-.f64 (.f64 d d) (/.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 d d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 d (/.f64 (*.f64 c c) d)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 c d) d) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 c (/.f64 c d) d) b) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 d (.f64 c c))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c c) (neg.f64 d)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (*.f64 c c) (neg.f64 d)))
(neg.f64 (/.f64 (*.f64 c c) (neg.f64 d)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 c c)))))
(/.f64 c (/.f64 d c))
(/.f64 (*.f64 c c) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 c c))))
(/.f64 (neg.f64 (*.f64 c c)) (neg.f64 d))
(/.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) c))
(pow.f64 (/.f64 d (*.f64 c c)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) d))
(*.f64 c (/.f64 c d))
(.f64 (.f64 c c) (/.f64 #s(literal 1 binary64) d))
(.f64 (/.f64 (.f64 c c) d) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 c c) (neg.f64 d)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (.f64 c c)))))
(.f64 (neg.f64 (.f64 c c)) (/.f64 #s(literal -1 binary64) d))
(.f64 (/.f64 #s(literal 1 binary64) d) (.f64 c c))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) #s(literal -1 binary64)))
(*.f64 (/.f64 c d) c)
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 c) d))
(.f64 (/.f64 (.f64 c c) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) d))
(.f64 (pow.f64 (/.f64 d (.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (*.f64 c c)) #s(literal -1/2 binary64)))
#s(approx (/ (* c c) (+ (* c a) (* d b))) (/.f64 c a))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(.f64 #s(literal 1 binary64) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(.f64 #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 c c)))
(neg.f64 (neg.f64 (*.f64 c c)))
(/.f64 c (/.f64 #s(literal 1 binary64) c))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 c c))
(*.f64 c c)
(.f64 (.f64 c c) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 c c)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))

eval238.0ms (2.3%)

Memory: 28.9MiB live, 253.3MiB allocated
Compiler: Compiled 32 903 to 2 737 computations (91.7% saved)

prune162.0ms (1.5%)

Memory

-33.5MiB live, 184.3MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	1 169	7	1 176
Fresh	4	10	14
Picked	2	3	5
Done	0	4	4
Total	1 175	24	1 199

Accuracy

100.0%

Counts

1 199 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	18.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	28.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	20.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	51.6%	(/.f64 #s(literal 1 binary64) (fma.f64 d #s(approx (* d (/ 1 (+ (* c a) (* d b)))) (/.f64 d (.f64 a c))) #s(approx (/ ( c c) (+ (* c a) (* d b))) (/.f64 c a))))
	18.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (.f64 d d)) #s(approx (+ ( a c) (* b d)) (*.f64 c a))))
	45.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
	38.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (-.f64 (/.f64 c a) (/.f64 (.f64 b d) (.f64 a a)))))
✓	28.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
	18.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 c a)))
	20.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
	52.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	56.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	45.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c))
✓	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
	20.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
	45.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
✓	38.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	59.2%	#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))
	58.9%	#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (/.f64 c d) d) b)))
	59.0%	#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 c d) d)) b))

Compiler

Compiled 767 to 311 computations (59.5% saved)

regimes62.0ms (0.6%)

Memory

38.4MiB live, 76.3MiB allocated

Counts

44 → 4

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Calls

5 calls:

13.0ms	c
12.0ms	b
12.0ms	d
12.0ms	a
11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
81.2%	3	`a`
83.4%	4	`b`
86.6%	5	`c`
85.7%	4	`d`
84.2%	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes20.0ms (0.2%)

Memory

-11.3MiB live, 26.8MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 c a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (+.f64 d (/.f64 (*.f64 c c) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (*.f64 d b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (.f64 d d)) #s(approx (+ ( a c) (* b d)) (*.f64 c a))))
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 c d) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))

Outputs

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))

#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))

Calls

2 calls:

10.0ms	d
8.0ms	c

Results

Accuracy	Segments	Branch
80.4%	4	`c`
81.9%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes39.0ms (0.4%)

Memory

-23.3MiB live, 57.6MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 c a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Outputs

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))

Calls

5 calls:

9.0ms	b
7.0ms	a
7.0ms	c
7.0ms	d
6.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
78.9%	6	`c`
64.0%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
71.3%	4	`a`
68.7%	4	`b`
75.2%	3	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes14.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 c a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))

Outputs

#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

#s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))

Calls

2 calls:

6.0ms	c
6.0ms	d

Results

Accuracy	Segments	Branch
70.6%	3	`c`
72.7%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes20.0ms (0.2%)

Memory

-5.0MiB live, 34.3MiB allocated

Counts

21 → 5

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 c a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))

Calls

3 calls:

7.0ms	a
6.0ms	d
6.0ms	c

Results

Accuracy	Segments	Branch
60.7%	5	`a`
68.2%	6	`c`
72.4%	5	`d`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

20 → 4

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 c a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
70.8%	4	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

17 → 4

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 c a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d)))))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
70.1%	4	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Memory

-20.9MiB live, 17.3MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 c a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (+ ( a c) (* b d)) (*.f64 d b)))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))

Calls

2 calls:

6.0ms	b
5.0ms	d

Results

Accuracy	Segments	Branch
55.8%	5	`b`
66.0%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Calls

5 calls:

1.0ms	d
1.0ms	b
1.0ms	a
1.0ms	c
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
38.3%	1	`b`
38.3%	1	`a`
38.3%	1	`c`
38.3%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
38.3%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch49.0ms (0.5%)

Memory

-17.7MiB live, 62.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.382494896146916e+50	1.2038284313047033e+77
13.0ms	1.6009653241722667e-106	6.517962928908565e-104
14.0ms	-3.2873689611935254e-25	-1.0024980909565505e-31

Samples

28.0ms

448×

valid

Compiler

Compiled 883 to 542 computations (38.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (64% of total)

ival-div: 3.0ms (17.5% of total)

ival-add: 3.0ms (17.5% of total)

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

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

bsearch9.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.426721075627365e-36	2.9805290837462398e-36
1.0ms	-3.2873689611935254e-25	-1.0024980909565505e-31

Samples

5.0ms

80×

valid

Compiler

Compiled 386 to 242 computations (37.3% saved)

Precisions

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

ival-mult: 2.0ms (68.2% of total)

ival-add: 1.0ms (34.1% of total)

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

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

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

bsearch31.0ms (0.3%)

Memory

-10.6MiB live, 27.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.565398583841338e-123	5.1613932321299135e-120
6.0ms	-3.2873689611935254e-25	-1.0024980909565505e-31

Samples

22.0ms

192×

valid

Compiler

Compiled 379 to 256 computations (32.5% saved)

Precisions

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

ival-mult: 4.0ms (56.1% of total)

ival-add: 2.0ms (28.1% of total)

ival-div: 1.0ms (14% of total)

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

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

bsearch11.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.565398583841338e-123	5.1613932321299135e-120
9.0ms	-3.5057524413401605e-137	-3.459037902984973e-138

Samples

6.0ms

96×

valid

Compiler

Compiled 316 to 214 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (56.3% of total)

ival-div: 1.0ms (28.2% of total)

ival-add: 1.0ms (28.2% of total)

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

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

bsearch16.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.844155739001744e+130	2.5782208850296157e+131
0.0ms	3.565398583841338e-123	5.1613932321299135e-120
1.0ms	-3.2873689611935254e-25	-1.0024980909565505e-31
5.0ms	-2.453140510034848e+82	-1.8251860036650496e+82

Samples

9.0ms

144×

valid

Compiler

Compiled 620 to 408 computations (34.2% saved)

Precisions

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

ival-mult: 3.0ms (57.4% of total)

ival-div: 1.0ms (19.1% of total)

ival-add: 1.0ms (19.1% of total)

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

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

bsearch16.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.844155739001744e+130	2.5782208850296157e+131
1.0ms	3.565398583841338e-123	5.1613932321299135e-120
14.0ms	-5.498429108278014e-17	-3.2873689611935254e-25

Samples

9.0ms

144×

valid

Compiler

Compiled 488 to 336 computations (31.1% saved)

Precisions

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

ival-mult: 3.0ms (56.1% of total)

ival-div: 1.0ms (18.7% of total)

ival-add: 1.0ms (18.7% of total)

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

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

bsearch34.0ms (0.3%)

Memory

-0.4MiB live, 37.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.1446134892305328e+91	2.83110620125657e+93
20.0ms	3.1526169364819545e-118	6.548143673487479e-109
1.0ms	-5.498429108278014e-17	-3.2873689611935254e-25

Samples

16.0ms

256×

valid

Compiler

Compiled 534 to 366 computations (31.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (62.9% of total)

ival-add: 2.0ms (21% of total)

ival-div: 1.0ms (10.5% of total)

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

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

bsearch32.0ms (0.3%)

Memory

-27.1MiB live, 10.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.565398583841338e-123	5.1613932321299135e-120
1.0ms	-5.498429108278014e-17	-3.2873689611935254e-25

Samples

27.0ms

80×

valid

Compiler

Compiled 294 to 222 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 24.0ms (95.4% of total)

ival-add: 1.0ms (4% of total)

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

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

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

simplify11.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	768
1	107	768

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -3122104327794287/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 8779649585495489/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 2899999999999999995947461632110642820023167476888402850217984 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3122104327794287/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 6285626241832747/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))))
(if (<=.f64 d #s(literal -825127572345633/22300745198530623141535718272648361505980416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))))
(if (<=.f64 d #s(literal -6703903964971299/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d))) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))))
(if (<=.f64 d #s(literal -21000000000000000242540727843010798143170066536310642628121679916468349694625447936 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -825127572345633/22300745198530623141535718272648361505980416 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (.f64 d d))) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 75000000000000003252418174816543663504399673763047748906780844035369853169749313139650397198711678919146794476678812785037008699392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -4253529586511731/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 75000000000000003252418174816543663504399673763047748906780844035369853169749313139650397198711678919146794476678812785037008699392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -4253529586511731/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 1454323131338547/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 560000000000000001132868458323505116328367260235504443949396388900112607326704620544515375104 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -4253529586511731/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3706877493907595/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
(if (<=.f64 d #s(literal -3122104327794287/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 8779649585495489/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 2899999999999999995947461632110642820023167476888402850217984 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3122104327794287/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 8779649585495489/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 2899999999999999995947461632110642820023167476888402850217984 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3122104327794287/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 6285626241832747/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))))
(if (<=.f64 d #s(literal -825127572345633/22300745198530623141535718272648361505980416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))))
(if (<=.f64 d #s(literal -6703903964971299/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d))) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ 1 (+ (* d (* d (/ 1 (+ (* c a) (* d b))))) (/ (* c c) (+ (* c a) (* d b))))) (/.f64 b (fma.f64 (/.f64 c d) c d)))))
(if (<=.f64 d #s(literal -21000000000000000242540727843010798143170066536310642628121679916468349694625447936 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -825127572345633/22300745198530623141535718272648361505980416 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( c c) (* d d)) (.f64 d d))) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 75000000000000003252418174816543663504399673763047748906780844035369853169749313139650397198711678919146794476678812785037008699392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -21000000000000000242540727843010798143170066536310642628121679916468349694625447936 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -825127572345633/22300745198530623141535718272648361505980416 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (.f64 d d))) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 75000000000000003252418174816543663504399673763047748906780844035369853169749313139650397198711678919146794476678812785037008699392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -4253529586511731/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 75000000000000003252418174816543663504399673763047748906780844035369853169749313139650397198711678919146794476678812785037008699392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -4253529586511731/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 5960077539223977/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 75000000000000003252418174816543663504399673763047748906780844035369853169749313139650397198711678919146794476678812785037008699392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -4253529586511731/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 1454323131338547/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 560000000000000001132868458323505116328367260235504443949396388900112607326704620544515375104 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 d (/.f64 b (fma.f64 c c (.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -4253529586511731/5316911983139663491615228241121378304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3706877493907595/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

soundness1.1s (10.9%)

Memory

-26.0MiB live, 903.2MiB allocated

Rules

7 954×	`lower-fma.f32`
7 948×	`lower-fma.f64`
7 676×	`lower-fma.f64`
7 676×	`lower-fma.f32`
6 192×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	35
1	58	35
2	435	35
3	5073	35
0	8760	31
0	33	187
0	50	180
1	158	178
2	1094	178
0	8448	178
0	186	1428
1	618	1418
2	1892	1394
3	5763	1392
0	8185	1262
0	1709	16252
1	5897	15786
0	8114	15228
0	45	274
0	64	261
1	241	250
2	1449	246
0	8330	237

Stop Event

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

Compiler

Compiled 875 to 374 computations (57.3% saved)

preprocess109.0ms (1%)

Memory: 10.5MiB live, 127.0MiB allocated
Compiler: Compiled 654 to 206 computations (68.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	34	283
0	53	274
1	78	268
2	104	268
3	145	268
4	153	268
5	165	268
6	176	268
7	192	268
8	201	268
9	211	258
10	243	254
11	261	252
12	291	252
13	321	252
14	327	252
0	327	252

Iter	Nodes	Cost
0	45	320
0	64	315
1	90	301
2	109	301
3	155	301
4	156	301
5	199	301
6	235	296
7	254	294
8	274	292
9	318	292
10	366	292
0	366	282

Iter	Nodes	Cost
0	34	283
0	53	274
1	78	268
2	104	268
3	145	268
4	153	268
5	165	268
6	176	268
7	192	268
8	201	268
9	211	258
10	243	254
11	261	252
12	291	252
13	321	252
14	327	252
0	327	252

Iter	Nodes	Cost
0	45	320
0	64	315
1	90	301
2	109	301
3	155	301
4	156	301
5	199	301
6	235	296
7	254	294
8	274	292
9	318	292
10	366	292
0	366	282

analyze26.0ms (0.2%)

sample1.4s (13%)

preprocess395.0ms (3.8%)

explain373.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize29.0ms (0.3%)

series43.0ms (0.4%)

simplify629.0ms (6%)

rewrite299.0ms (2.8%)

eval72.0ms (0.7%)

prune68.0ms (0.6%)

simplify170.0ms (1.6%)

localize92.0ms (0.9%)

series41.0ms (0.4%)

simplify354.0ms (3.4%)

rewrite572.0ms (5.4%)

eval788.0ms (7.5%)

prune721.0ms (6.9%)

simplify22.0ms (0.2%)

localize92.0ms (0.9%)

series57.0ms (0.5%)

simplify367.0ms (3.5%)

rewrite480.0ms (4.6%)

eval271.0ms (2.6%)

prune256.0ms (2.4%)

simplify20.0ms (0.2%)

localize100.0ms (1%)

series28.0ms (0.3%)

simplify371.0ms (3.5%)

rewrite357.0ms (3.4%)

eval238.0ms (2.3%)

prune162.0ms (1.5%)

regimes62.0ms (0.6%)

regimes20.0ms (0.2%)

regimes39.0ms (0.4%)

regimes14.0ms (0.1%)

regimes20.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch49.0ms (0.5%)

bsearch9.0ms (0.1%)

bsearch31.0ms (0.3%)

bsearch11.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch34.0ms (0.3%)

bsearch32.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.1s (10.9%)

preprocess109.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	34	283
0	53	274
1	78	268
2	104	268
3	145	268
4	153	268
5	165	268
6	176	268
7	192	268
8	201	268
9	211	258
10	243	254
11	261	252
12	291	252
13	321	252
14	327	252
0	327	252

Iter	Nodes	Cost
0	45	320
0	64	315
1	90	301
2	109	301
3	155	301
4	156	301
5	199	301
6	235	296
7	254	294
8	274	292
9	318	292
10	366	292
0	366	282