Metrics for Complex division, real part

analyze24.0ms (0.2%)

Memory

26.5MiB live, 26.5MiB 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)

sample1.5s (14.5%)

Memory

20.0MiB live, 875.4MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 943.0ms

ival-mult: 806.0ms (85.4% of total)

ival-add: 68.0ms (7.2% of total)

ival-div: 60.0ms (6.4% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess323.0ms (3.1%)

Memory

-2.7MiB live, 36.4MiB 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)))

explain161.0ms (1.6%)

Memory

-15.8MiB live, 278.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
92	-	-	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
4	-	-	`(+.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)))`	n/o	39	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	108
↳	`(*.f64 c c)`	overflow	55
↳	`(*.f64 d d)`	overflow	64
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	33	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	46
↳	`(*.f64 a c)`	overflow	27
↳	`(*.f64 b d)`	overflow	24
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	108
↳	`(*.f64 c c)`	overflow	55
↳	`(*.f64 d d)`	overflow	64
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	13	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	46
↳	`(*.f64 a c)`	overflow	27
↳	`(*.f64 b d)`	overflow	24
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	4	0
↳	`(*.f64 a c)`	overflow	27
↳	`(*.f64 b d)`	overflow	24
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	4	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	15
↳	`(*.f64 c c)`	underflow	63
↳	`(*.f64 d d)`	underflow	69
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	3
↳	`(*.f64 a c)`	underflow	30
↳	`(*.f64 b d)`	underflow	30

Confusion

	Predicted +	Predicted -
+	92	0
-	0	164

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	0	0	164

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	164
1	88
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 46.0ms (84.7% of total)

ival-add: 4.0ms (7.4% of total)

ival-div: 3.0ms (5.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.8%	(/.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

9.8MiB live, 9.8MiB 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)

localize33.0ms (0.3%)

Memory

-10.0MiB live, 69.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	98.7%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	66.0%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

23.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 7.0ms (64.5% of total)

ival-add: 2.0ms (18.4% of total)

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

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

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

series14.0ms (0.1%)

Memory

-9.3MiB live, 29.3MiB allocated

Counts

4 → 144

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)>

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)>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(* a c)
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)))
0.0ms	b	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify251.0ms (2.4%)

Memory

26.9MiB live, 502.7MiB 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	1356
1	618	1346
2	1892	1322
3	5763	1320
0	8185	1190

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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)

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)

rewrite325.0ms (3.2%)

Memory

-3.2MiB live, 707.9MiB 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	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28

Stop Event

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

Counts

4 → 339

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)

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))))
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(.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)

eval54.0ms (0.5%)

Memory: -3.1MiB live, 147.4MiB allocated
Compiler: Compiled 17 374 to 1 022 computations (94.1% saved)

prune143.0ms (1.4%)

Memory

12.7MiB live, 174.0MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	469	14	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	14	484

Accuracy

99.4%

Counts

484 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.2%	(/.f64 (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))))) (+.f64 (.f64 c c) (*.f64 d d)))
▶	65.8%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	36.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	45.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (.f64 d (.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)))
	46.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
	52.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
	52.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	56.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	51.5%	#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))
▶	49.4%	#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))
▶	42.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c))))
	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
	45.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Compiler

Compiled 494 to 256 computations (48.2% saved)

simplify597.0ms (5.8%)

Memory

-42.3MiB live, 229.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

6 176×	`lower-fma.f32`
6 168×	`lower-fma.f64`
2 544×	`lower-*.f32`
2 534×	`lower-*.f64`
1 482×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	258
0	53	258
1	75	253
2	108	248
3	186	248
4	297	248
5	419	248
6	649	248
7	1039	248
8	1773	248
9	3062	248
10	4346	248
11	4857	248
12	5074	248
13	5257	248
14	5296	248
15	5302	248
16	5397	248
17	5622	248
18	5732	248
19	5732	248
20	6469	248
21	6854	248
22	6962	248
23	7271	248
24	7669	248
0	8005	245

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (1.5%)

Memory

0.4MiB live, 121.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.0%	(fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d))
✓	accuracy	93.9%	(/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)
✓	accuracy	93.9%	(/.f64 (*.f64 d (neg.f64 a)) c)
✓	accuracy	51.0%	#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))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	98.7%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	66.0%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
✓	accuracy	55.5%	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	74.1%	(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
✓	accuracy	60.7%	#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	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	accuracy	100.0%	(*.f64 d d)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	99.2%	(fma.f64 a c (*.f64 b d))
✓	accuracy	66.0%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Samples

84.0ms

256×

valid

Compiler

Compiled 239 to 24 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (39% of total)

ival-div: 9.0ms (35.1% of total)

ival-add: 5.0ms (19.5% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

series69.0ms (0.7%)

Memory

24.6MiB live, 63.4MiB allocated

Counts

20 → 756

Calls

Call 1

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

Outputs
#<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 (* 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 (* 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)>
#<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) (+ (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 (/ (* 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)))>
#<alt (/ (* 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)))>
#<alt (/ (* 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)))>
#<alt (/ (* 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)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (* 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))))>
#<alt (/ b d)>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)>
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#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))>
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))>
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))>
#<alt (* -1 (/ (* a (- (/ (pow d 2) (pow c 2)) 1)) c))>
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 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 (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))>
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3))>
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))>
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))>
#<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 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) 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 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))>
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))>
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))>
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))>
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) 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 (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 (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (/ (* b d) c)>
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))>
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))>
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (/ (* b d) c)>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))>
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))>
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))>
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))>
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))>
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))>
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))>
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))>
#<alt (/ (* b d) c)>
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)>
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)>
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)>
#<alt (/ (* b d) c)>
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))>
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))>
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))>
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))>
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))>

Calls

189 calls:

Time	Variable		Point	Expression
32.0ms	b	@	0	(+ (* d (/ (* d (neg a)) c)) (* b d))
3.0ms	a	@	0	(+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c))
1.0ms	c	@	0	(/ (* b d) (+ (* d d) (* c c)))
1.0ms	c	@	0	(/ (* d (neg a)) c)
1.0ms	b	@	inf	(/ (* b d) (+ (* d d) (* c c)))

simplify469.0ms (4.6%)

Memory

-19.7MiB live, 530.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 702×	`lower-fma.f64`
11 702×	`lower-fma.f32`
5 698×	`lower-*.f64`
5 698×	`lower-*.f32`
2 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	9579
1	1401	9275
2	4413	9057
0	8130	8501

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 753

Calls

Call 1

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

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

rewrite381.0ms (3.7%)

Memory

38.8MiB live, 628.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 456×	`lower-fma.f32`
5 448×	`lower-fma.f64`
4 420×	`lower-/.f32`
4 406×	`lower-/.f64`
4 176×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	220
0	53	220
1	178	215
2	1270	210
0	8421	210

Stop Event

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

Counts

20 → 731

Calls

Call 1

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

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

eval224.0ms (2.2%)

Memory: 32.9MiB live, 366.2MiB allocated
Compiler: Compiled 38 559 to 2 348 computations (93.9% saved)

prune438.0ms (4.3%)

Memory

-52.4MiB live, 333.1MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 580	15	1 595
Fresh	4	5	9
Picked	4	1	5
Done	0	0	0
Total	1 588	21	1 609

Accuracy

99.4%

Counts

1 609 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.2%	(/.f64 (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))))) (+.f64 (.f64 c c) (*.f64 d d)))
	36.3%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	40.2%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	30.2%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	17.6%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	50.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)))
	45.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 d (fma.f64 d (/.f64 a (neg.f64 c)) b)) a) c))
	52.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
▶	56.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	51.5%	#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))
▶	51.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)) c))
	31.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.f64 d d))))
▶	20.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c))
▶	45.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (+.f64 a (/.f64 (*.f64 d (fma.f64 d (/.f64 a (neg.f64 c)) b)) c)))))
	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	45.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 a (/.f64 (.f64 d (fma.f64 d (/.f64 a (neg.f64 c)) b)) c))))
	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (fma.f64 c c (.f64 d d)))))

Compiler

Compiled 660 to 359 computations (45.6% saved)

simplify403.0ms (3.9%)

Memory

3.0MiB live, 316.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)
✓	cost-diff	(+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c))
✓	cost-diff	(/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)) c)
✓	cost-diff	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)) c))
✓	cost-diff	(/.f64 (*.f64 b d) c)
✓	cost-diff	#s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c))
✓	cost-diff	(/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c)
✓	cost-diff	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c))
✓	cost-diff	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
✓	cost-diff	(*.f64 c a)
✓	cost-diff	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
✓	cost-diff	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	cost-diff	(/.f64 b d)
✓	cost-diff	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	cost-diff	(/.f64 c d)
✓	cost-diff	(fma.f64 a (/.f64 c d) b)
✓	cost-diff	(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓	cost-diff	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Rules

6 984×	`lower-fma.f32`
6 982×	`lower-fma.f64`
2 224×	`lower-*.f32`
2 218×	`lower-*.f64`
1 896×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	340
0	54	340
1	78	324
2	113	316
3	193	316
4	302	316
5	426	316
6	663	316
7	1050	316
8	1720	316
9	2765	316
10	3675	316
11	4370	316
12	4762	316
13	4864	316
14	4888	316
15	5213	316
16	5470	316
17	5714	316
18	5857	316
19	6193	316
20	6573	316
21	7275	316
22	7768	316
0	8114	301

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (0.8%)

Memory

30.2MiB live, 105.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.1%	(/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)) c)
✓	accuracy	93.9%	(/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)
✓	accuracy	51.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)) c))
✓	accuracy	50.5%	#s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d))
✓	accuracy	98.1%	(/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c)
✓	accuracy	93.6%	(/.f64 (*.f64 b d) c)
✓	accuracy	51.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c))
✓	accuracy	25.7%	#s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c))
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	66.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	accuracy	55.5%	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
✓	accuracy	50.6%	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	45.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	accuracy	100.0%	(/.f64 c d)
✓	accuracy	99.9%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓	accuracy	94.4%	(fma.f64 a (/.f64 c d) b)
✓	accuracy	56.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Samples

52.0ms

256×

valid

Compiler

Compiled 239 to 28 computations (88.3% saved)

Precisions

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

ival-div: 15.0ms (42.7% of total)

ival-mult: 12.0ms (34.1% of total)

ival-add: 7.0ms (19.9% of total)

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

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

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

series56.0ms (0.5%)

Memory

-41.6MiB live, 61.8MiB allocated

Counts

19 → 804

Calls

Call 1

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

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

Calls

201 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	(/ (+ (* a (/ c d)) b) d)
1.0ms	b	@	inf	(/ (+ (* a (/ c d)) b) d)
1.0ms	d	@	-inf	(/ (+ (* a (/ c d)) b) d)
0.0ms	c	@	-inf	(/ (+ (* a (/ c d)) b) d)
0.0ms	a	@	-inf	(/ (+ (* a (/ c d)) b) d)

simplify379.0ms (3.7%)

Memory

8.6MiB live, 478.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 664×	`lower-fma.f64`
12 664×	`lower-fma.f32`
5 424×	`lower-*.f64`
5 424×	`lower-*.f32`
2 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	384	10568
1	1322	10184
2	4303	9601
0	8264	9093

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 792

Calls

Call 1

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

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

rewrite351.0ms (3.4%)

Memory

-2.2MiB live, 471.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 368×	`lower-/.f32`
5 352×	`lower-/.f64`
4 784×	`lower-fma.f32`
4 782×	`lower-fma.f64`
4 090×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	316
0	54	316
1	212	300
2	1561	300
0	8204	280

Stop Event

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

Counts

19 → 354

Calls

Call 1

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

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

eval124.0ms (1.2%)

Memory: 26.7MiB live, 177.2MiB allocated
Compiler: Compiled 19 467 to 1 104 computations (94.3% saved)

prune150.0ms (1.5%)

Memory

-25.1MiB live, 154.7MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 136	10	1 146
Fresh	6	9	15
Picked	1	4	5
Done	0	1	1
Total	1 143	24	1 167

Accuracy

99.5%

Counts

1 167 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	40.2%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	22.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	30.2%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	17.6%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	50.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)))
	54.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)) b) d))
	55.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
▶	52.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
✓	51.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)) c))
	23.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
✓	20.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c))
▶	21.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 d (/.f64 b c))) c))
✓	45.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	55.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b))))
	20.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)))))
	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	45.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
	45.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
	20.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (+ a (/ (+ ( d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c))))
▶	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (fma.f64 c c (.f64 d d)))))
	18.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))

Compiler

Compiled 573 to 326 computations (43.1% saved)

simplify306.0ms (3%)

Memory

19.4MiB live, 291.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 280×	`lower-fma.f32`
5 276×	`lower-fma.f64`
2 260×	`lower-*.f32`
2 252×	`lower-*.f64`
1 712×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	286
0	58	286
1	91	276
2	138	269
3	299	269
4	556	269
5	1093	269
6	1530	269
7	2089	269
8	2724	269
9	3262	269
10	3740	269
11	4489	269
12	4793	269
13	4906	269
14	5535	269
15	5838	269
16	5934	269
17	6166	269
18	6604	269
19	7037	269
0	8119	254

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.2%)

Memory

7.7MiB live, 156.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 d c)
✓	accuracy	99.2%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
✓	accuracy	95.6%	(fma.f64 b (/.f64 d c) a)
✓	accuracy	52.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
✓	accuracy	98.1%	(/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 d (/.f64 b c))) c)
✓	accuracy	91.9%	(*.f64 d (/.f64 b c))
✓	accuracy	51.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 d (/.f64 b c))) c))
✓	accuracy	25.7%	#s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 d (/.f64 b c)))
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	66.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	accuracy	58.0%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	50.6%	#s(approx (+ (* a c) (* b d)) (*.f64 c a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) c)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓	accuracy	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
✓	accuracy	99.9%	(/.f64 d (fma.f64 a (/.f64 c d) b))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
✓	accuracy	94.4%	(fma.f64 a (/.f64 c d) b)
✓	accuracy	56.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b))))

Samples

80.0ms

256×

valid

Compiler

Compiled 214 to 36 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 17.0ms (40.9% of total)

ival-mult: 16.0ms (38.5% of total)

ival-add: 7.0ms (16.8% of total)

ival-neg: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.3%)

Memory

6.2MiB live, 44.6MiB allocated

Counts

19 → 768

Calls

Call 1

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

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

Calls

192 calls:

Time	Variable		Point	Expression
11.0ms	b	@	inf	(/ (+ (* b (/ d c)) a) c)
1.0ms	c	@	inf	(/ d (+ (* a (/ c d)) b))
0.0ms	a	@	inf	(/ d (+ (* a (/ c d)) b))
0.0ms	d	@	inf	(/ d (+ (* a (/ c d)) b))
0.0ms	d	@	0	(/ d (+ (* a (/ c d)) b))

simplify330.0ms (3.2%)

Memory

16.7MiB live, 567.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 650×	`lower-fma.f64`
6 650×	`lower-fma.f32`
6 588×	`lower-*.f64`
6 588×	`lower-*.f32`
3 202×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	631	10140
1	2186	9808
2	7642	9750
0	8052	9145

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 753

Calls

Call 1

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

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

rewrite783.0ms (7.6%)

Memory

-182.3MiB live, 468.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 118×	`lower-/.f32`
5 100×	`lower-/.f64`
4 786×	`lower-fma.f32`
4 782×	`lower-fma.f64`
4 490×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	259
0	58	259
1	228	245
2	1671	245
0	8219	230

Stop Event

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

Counts

19 → 496

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) d) b) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d)) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
(+.f64 (.f64 b (/.f64 #s(literal 1 binary64) d)) (.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(+.f64 (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d)) (*.f64 b (/.f64 #s(literal 1 binary64) d)))
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (fma.f64 a (/.f64 c d) (neg.f64 b))) d) (/.f64 (/.f64 (*.f64 b b) (fma.f64 a (/.f64 c d) (neg.f64 b))) d))
(-.f64 (/.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))) (/.f64 (.f64 b b) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d) (.f64 b (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d) (.f64 (/.f64 #s(literal 1 binary64) d) b))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)))) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b))) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b))) (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d))) (.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b)))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) (fma.f64 a (/.f64 c d) b)))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b))) (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)))))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b)) (.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b)))) (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (*.f64 d d)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b))) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b))))
(/.f64 (neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b)))) (neg.f64 (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b))) (neg.f64 (.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b)))) (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b))) (fma.f64 a (/.f64 c d) (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) d)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b))))) (neg.f64 (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (*.f64 d d))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b)))) (neg.f64 (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b)))) (neg.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) d) b) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) d) b) (.f64 (/.f64 #s(literal 1 binary64) d) b) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d)) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) b) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) d) b) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d)) (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) b) (.f64 (/.f64 #s(literal 1 binary64) d) b)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) d)) (.f64 (/.f64 #s(literal 1 binary64) d) b)))))
(/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 #s(literal 1 binary64) d)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d)) #s(literal 3 binary64))) (fma.f64 (.f64 b (/.f64 #s(literal 1 binary64) d)) (.f64 b (/.f64 #s(literal 1 binary64) d)) (-.f64 (.f64 (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d)) (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d))) (.f64 (.f64 b (/.f64 #s(literal 1 binary64) d)) (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d)) #s(literal 3 binary64)) (pow.f64 (.f64 b (/.f64 #s(literal 1 binary64) d)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d)) (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d)) (-.f64 (.f64 (.f64 b (/.f64 #s(literal 1 binary64) d)) (.f64 b (/.f64 #s(literal 1 binary64) d))) (.f64 (.f64 (/.f64 (.f64 a c) d) (/.f64 #s(literal 1 binary64) d)) (.f64 b (/.f64 #s(literal 1 binary64) d))))))
(pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 d (.f64 d d))) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 d (fma.f64 b (-.f64 b (/.f64 (.f64 a c) d)) (/.f64 (.f64 a (.f64 c (.f64 a c))) (*.f64 d d))))))
(*.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (fma.f64 a (/.f64 c d) (neg.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 a (/.f64 c d) b))
(.f64 (-.f64 (/.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 d d)) (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))))
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eval135.0ms (1.3%)

Memory: 11.2MiB live, 196.2MiB allocated
Compiler: Compiled 21 646 to 1 822 computations (91.6% saved)

prune164.0ms (1.6%)

Memory

16.9MiB live, 180.1MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 245	4	1 249
Fresh	0	14	14
Picked	1	4	5
Done	1	4	5
Total	1 247	26	1 273

Accuracy

99.5%

Counts

1 273 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	40.2%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	22.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	30.2%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	17.6%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	50.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)))
	50.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	54.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)) b) d))
	55.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
✓	52.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	23.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
✓	20.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c))
	21.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 (/.f64 b (neg.f64 c)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 d))))) c))
✓	21.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 d (/.f64 b c))) c))
✓	45.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	23.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)))))
	20.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)))))
	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	50.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)))
	45.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
	45.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
	20.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (+ a (/ (+ ( d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c))))
✓	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (fma.f64 c c (.f64 d d)))))
	18.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))

Compiler

Compiled 867 to 321 computations (63% saved)

regimes76.0ms (0.7%)

Memory

-47.4MiB live, 86.8MiB allocated

Counts

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

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

16.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
14.0ms	c
12.0ms	d
12.0ms	a
12.0ms	b

Results

Accuracy	Segments	Branch
68.7%	2	`a`
68.6%	2	`b`
85.7%	5	`c`
88.7%	5	`d`
76.1%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes11.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB 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))) #s(approx (/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.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 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c 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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (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 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 d (/.f64 b c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
#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 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
#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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (*.f64 b d)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (+ a (/ (+ ( d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)))

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes29.0ms (0.3%)

Memory

-27.1MiB live, 12.4MiB allocated

Counts

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
83.9%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB 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))) #s(approx (/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.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 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c 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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (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 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 d (/.f64 b c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
#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 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 d b (.f64 a c)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
#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 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Calls

2 calls:

6.0ms	c
6.0ms	d

Results

Accuracy	Segments	Branch
75.7%	4	`c`
79.4%	4	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.2%)

Memory

-9.0MiB live, 32.5MiB allocated

Counts

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

Calls

3 calls:

9.0ms	d
6.0ms	c
5.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
67.6%	4	`c`
55.9%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
76.7%	5	`d`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.1MiB allocated

Counts

17 → 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))) #s(approx (/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c) (.f64 b (/.f64 d (.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 b d) #s(approx (+ ( d d) (* c c)) (*.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 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c 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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 c (/.f64 a (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 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (*.f64 d (/.f64 b c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
#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 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#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:

5.0ms

Results

Accuracy	Segments	Branch
76.1%	5	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

-29.7MiB live, 9.3MiB allocated

Counts

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
71.9%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB 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	a
1.0ms	d
1.0ms	c
1.0ms	b
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
42.5%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
42.5%	1	`c`
42.5%	1	`b`
42.5%	1	`a`
42.5%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch73.0ms (0.7%)

Memory

7.4MiB live, 82.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
31.0ms	4.3339426933138643e+30	3.941701814707969e+38
8.0ms	2.5292041167937482e-126	9.000869198249606e-126
16.0ms	-5.624278929030991e-71	-4.925654913661403e-76
13.0ms	-3.228422195222406e+102	-7.425098550657538e+99

Samples

51.0ms

496×

valid

Compiler

Compiled 1 042 to 590 computations (43.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 31.0ms (81.1% of total)

ival-add: 4.0ms (10.5% of total)

ival-div: 3.0ms (7.9% of total)

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

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

bsearch40.0ms (0.4%)

Memory

-4.1MiB live, 40.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.4457319761406224e-86	2.4343538193370724e-81
11.0ms	-414893798746.17413	-3620095603.5055614

Samples

28.0ms

256×

valid

Compiler

Compiled 502 to 290 computations (42.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 13.0ms (59.7% of total)

ival-mult: 7.0ms (32.1% of total)

ival-add: 2.0ms (9.2% of total)

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

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

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4457319761406224e-86	2.4343538193370724e-81
0.0ms	-414893798746.17413	-3620095603.5055614

Compiler

Compiled 470 to 274 computations (41.7% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4457319761406224e-86	2.4343538193370724e-81
0.0ms	-414893798746.17413	-3620095603.5055614

Compiler

Compiled 470 to 274 computations (41.7% saved)

bsearch47.0ms (0.5%)

Memory

-5.0MiB live, 70.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.45524771237022e-124	3.163794940571522e-116
13.0ms	-1.0008350374237657e-40	-1.6577862088333722e-44
15.0ms	-9.427115587401717e+120	-3.5767335861417246e+118

Samples

30.0ms

400×

valid

Compiler

Compiled 669 to 400 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 10.0ms (56.3% of total)

ival-add: 5.0ms (28.1% of total)

ival-div: 2.0ms (11.3% of total)

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

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

bsearch18.0ms (0.2%)

Memory

-12.5MiB live, 24.5MiB 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	7.712024691603599e+105	1.208354595298731e+107
1.0ms	1.45524771237022e-124	3.163794940571522e-116
1.0ms	-1.0008350374237657e-40	-1.6577862088333722e-44
4.0ms	-9.427115587401717e+120	-3.5767335861417246e+118

Samples

8.0ms

128×

valid

Compiler

Compiled 797 to 483 computations (39.4% saved)

Precisions

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

ival-mult: 3.0ms (60.2% of total)

ival-div: 1.0ms (20.1% of total)

ival-add: 1.0ms (20.1% of total)

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

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

bsearch32.0ms (0.3%)

Memory

3.5MiB live, 48.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	2.1181750554061355e+144	7.718797246920066e+155
9.0ms	2.3233636394426206e-104	2.366477709844763e-103
1.0ms	-1.0008350374237657e-40	-1.6577862088333722e-44
1.0ms	-9.427115587401717e+120	-3.5767335861417246e+118

Samples

19.0ms

256×

valid

Compiler

Compiled 822 to 498 computations (39.4% saved)

Precisions

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

ival-mult: 6.0ms (59.6% of total)

ival-add: 2.0ms (19.9% of total)

ival-div: 1.0ms (9.9% of total)

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

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

bsearch44.0ms (0.4%)

Memory

-7.3MiB live, 30.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.3233636394426206e-104	2.366477709844763e-103
10.0ms	-1.0008350374237657e-40	-1.6577862088333722e-44

Samples

12.0ms

176×

valid

Compiler

Compiled 274 to 186 computations (32.1% saved)

Precisions

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

ival-mult: 4.0ms (56.2% of total)

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

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

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

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

simplify11.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	813
1	102	813

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) (if (<=.f64 d #s(literal -6029626489950079/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 8840889449137087/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (.f64 b d)) c)) c)) (if (<=.f64 d #s(literal 329999999999999990682125824257054212096 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.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 -68000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) (if (<=.f64 d #s(literal 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (.f64 b d)) c)) c)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -68000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) (if (<=.f64 d #s(literal 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -68000000000 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 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -249999999999999995000867086848550295417201298224252129547162077957693103656857181366197358732498109938694018795269259264 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 -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) (if (<=.f64 d #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 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 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -275000000000000016002503320440325746310367321503742412469675059206097949062438268755219057935292996588987356082224496640 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) (if (<=.f64 d #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 84999999999999992460290096772671328875795926519580149472123435191625794839432970135450782604078407244316672 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -275000000000000016002503320440325746310367321503742412469675059206097949062438268755219057935292996588987356082224496640 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) (if (<=.f64 d #s(literal 6778405929978135/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 2850000000000000024351518251517918087701953467076061368105045914963042687156015184715848305952937028269035916654263423044273556262255922656575488 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 -7650217740002517/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 2319990124843707/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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 -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) (if (<=.f64 d #s(literal -6029626489950079/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 8840889449137087/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (.f64 b d)) c)) c)) (if (<=.f64 d #s(literal 329999999999999990682125824257054212096 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.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 -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) (if (<=.f64 d #s(literal -6029626489950079/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 8840889449137087/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (.f64 d b)) c)) c)) (if (<=.f64 d #s(literal 329999999999999990682125824257054212096 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.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 -68000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) (if (<=.f64 d #s(literal 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (.f64 b d)) c)) c)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -68000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) (if (<=.f64 d #s(literal 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 #s(approx (+ (* d (/ (* d (neg a)) c)) (* b d)) (.f64 d b)) c)) c)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -68000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) (if (<=.f64 d #s(literal 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -68000000000 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 4485572775433911/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -249999999999999995000867086848550295417201298224252129547162077957693103656857181366197358732498109938694018795269259264 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 -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) (if (<=.f64 d #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 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 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -249999999999999995000867086848550295417201298224252129547162077957693103656857181366197358732498109938694018795269259264 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 -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) (if (<=.f64 d #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 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 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -275000000000000016002503320440325746310367321503742412469675059206097949062438268755219057935292996588987356082224496640 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) (if (<=.f64 d #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 84999999999999992460290096772671328875795926519580149472123435191625794839432970135450782604078407244316672 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -275000000000000016002503320440325746310367321503742412469675059206097949062438268755219057935292996588987356082224496640 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) (if (<=.f64 d #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 84999999999999992460290096772671328875795926519580149472123435191625794839432970135450782604078407244316672 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 d d))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -275000000000000016002503320440325746310367321503742412469675059206097949062438268755219057935292996588987356082224496640 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)) (if (<=.f64 d #s(literal 6778405929978135/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 2850000000000000024351518251517918087701953467076061368105045914963042687156015184715848305952937028269035916654263423044273556262255922656575488 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 -275000000000000016002503320440325746310367321503742412469675059206097949062438268755219057935292996588987356082224496640 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))) (if (<=.f64 d #s(literal 6778405929978135/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 2850000000000000024351518251517918087701953467076061368105045914963042687156015184715848305952937028269035916654263423044273556262255922656575488 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 -7650217740002517/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 2319990124843707/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 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 (11.1%)

Memory

4.1MiB live, 845.7MiB allocated

Rules

12 664×	`lower-fma.f64`
12 664×	`lower-fma.f32`
11 702×	`lower-fma.f64`
11 702×	`lower-fma.f32`
7 676×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	220
0	53	220
1	178	215
2	1270	210
0	8421	210
0	186	1356
1	618	1346
2	1892	1322
3	5763	1320
0	8185	1190
0	11	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28
0	427	9579
1	1401	9275
2	4413	9057
0	8130	8501
0	384	10568
1	1322	10184
2	4303	9601
0	8264	9093

Stop Event

1×	fuel
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
1×	node limit
1×	iter limit

Compiler

Compiled 772 to 311 computations (59.7% saved)

preprocess105.0ms (1%)

Memory: -11.0MiB live, 139.5MiB allocated
Compiler: Compiled 820 to 218 computations (73.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.2%)

sample1.5s (14.5%)

preprocess323.0ms (3.1%)

explain161.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize33.0ms (0.3%)

series14.0ms (0.1%)

simplify251.0ms (2.4%)

rewrite325.0ms (3.2%)

eval54.0ms (0.5%)

prune143.0ms (1.4%)

simplify597.0ms (5.8%)

localize152.0ms (1.5%)

series69.0ms (0.7%)

simplify469.0ms (4.6%)

rewrite381.0ms (3.7%)

eval224.0ms (2.2%)

prune438.0ms (4.3%)

simplify403.0ms (3.9%)

localize87.0ms (0.8%)

series56.0ms (0.5%)

simplify379.0ms (3.7%)

rewrite351.0ms (3.4%)

eval124.0ms (1.2%)

prune150.0ms (1.5%)

simplify306.0ms (3%)

localize126.0ms (1.2%)

series34.0ms (0.3%)

simplify330.0ms (3.2%)

rewrite783.0ms (7.6%)

eval135.0ms (1.3%)

prune164.0ms (1.6%)

regimes76.0ms (0.7%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes29.0ms (0.3%)

regimes14.0ms (0.1%)

regimes22.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch73.0ms (0.7%)

bsearch40.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch47.0ms (0.5%)

bsearch18.0ms (0.2%)

bsearch32.0ms (0.3%)

bsearch44.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.1s (11.1%)

preprocess105.0ms (1%)

end0.0ms (0%)

Profiling