Metrics for Complex division, imag part

analyze55.0ms (0.6%)

Memory

-8.6MiB live, 30.3MiB 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)

sample1.1s (13%)

Memory

42.5MiB live, 1 633.3MiB allocated

Samples

814.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-mult: 356.0ms (73.3% of total)

ival-div: 51.0ms (10.5% of total)

ival-sub: 35.0ms (7.2% of total)

ival-add: 34.0ms (7% of total)

ival-true: 6.0ms (1.2% of total)

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

Bogosity

preprocess338.0ms (3.9%)

Memory

-21.2MiB live, 125.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 350×	`unsub-neg`
982×	`div-sub`
876×	`distribute-rgt-in`
874×	`distribute-lft-in`
752×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	214
1	202	214
2	402	214
3	976	214
4	2796	214
5	4580	214
6	5390	214
7	5495	214
8	5515	214
9	5531	214
10	5531	214
11	5995	214
12	6203	214
13	6203	214
14	6203	214
15	6299	214
16	6299	214
17	6371	214
18	6403	214
19	6403	214
20	6403	214
0	11	15
0	18	15
1	29	15
2	51	15
3	81	15
4	140	15
5	239	15
6	382	15
7	630	15
8	1092	15
9	1766	15
10	2007	15
11	2047	15
12	2075	15
13	2075	15
0	2075	14

Stop Event

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

Calls

Call 1

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

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

explain282.0ms (3.3%)

Memory

-1.9MiB live, 230.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	47	0
↳	`(*.f64 b c)`	overflow	32
↳	`(-.f64 (.f64 b c) (.f64 a d))`	overflow	59
↳	`(*.f64 a d)`	overflow	31
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	108
↳	`(*.f64 c c)`	overflow	55
↳	`(*.f64 d d)`	overflow	64
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	29	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	108
↳	`(*.f64 c c)`	overflow	55
↳	`(*.f64 d d)`	overflow	64
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	12	0
↳	`(*.f64 b c)`	overflow	32
↳	`(-.f64 (.f64 b c) (.f64 a d))`	overflow	59
↳	`(*.f64 a d)`	overflow	31
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	5	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	15
↳	`(*.f64 c c)`	underflow	63
↳	`(*.f64 d d)`	underflow	69
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	2	0
↳	`(*.f64 b c)`	underflow	29
↳	`(-.f64 (.f64 b c) (.f64 a d))`	underflow	2
↳	`(*.f64 a d)`	underflow	20

Confusion

	Predicted +	Predicted -
+	95	0
-	0	161

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	95	0	0
-	0	0	161

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	161
1	95

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

200.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-div: 159.0ms (87.6% of total)

ival-mult: 13.0ms (7.2% of total)

ival-sub: 7.0ms (3.9% of total)

ival-add: 2.0ms (1.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify63.0ms (0.7%)

Memory

-19.0MiB live, 63.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

752×	`lower-fma.f64`
752×	`lower-fma.f32`
636×	`times-frac`
512×	`lower-*.f32`
504×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	18	45
1	29	45
2	51	45
3	81	45
4	140	45
5	239	45
6	382	45
7	630	45
8	1092	45
9	1766	45
10	2007	45
11	2047	45
12	2075	45
13	2075	45
0	2075	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

33.8MiB live, 73.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a d)
✓	accuracy	100.0%	(-.f64 (.f64 b c) (.f64 a d))
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	64.4%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

19.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 6.0ms (58.9% of total)

ival-sub: 1.0ms (9.8% of total)

ival-div: 1.0ms (9.8% of total)

ival-add: 1.0ms (9.8% of total)

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

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

series15.0ms (0.2%)

Memory

-9.7MiB live, 29.3MiB allocated

Counts

5 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

simplify280.0ms (3.2%)

Memory

-8.1MiB live, 290.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 930×	`lower-fma.f64`
7 930×	`lower-fma.f32`
3 586×	`lower-*.f64`
3 586×	`lower-*.f32`
2 316×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	1511
1	623	1461
2	1863	1441
3	5484	1432
0	8487	1356

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite317.0ms (3.7%)

Memory

2.1MiB live, 394.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 586×	`lower-fma.f64`
5 586×	`lower-fma.f32`
5 346×	`lower-*.f32`
5 338×	`lower-*.f64`
3 234×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	35
1	65	35
2	505	35
3	6376	35
0	8178	33

Stop Event

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

Counts

5 → 478

Calls

Call 1

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

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

eval102.0ms (1.2%)

Memory: -6.6MiB live, 100.9MiB allocated
Compiler: Compiled 24 549 to 1 313 computations (94.7% saved)

prune93.0ms (1.1%)

Memory

10.7MiB live, 177.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	631	15	646
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	632	15	647

Accuracy

99.1%

Counts

647 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (*.f64 c c))))
	63.0%	(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (*.f64 c c))))
	12.0%	(/.f64 (fma.f64 (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c (.f64 b (.f64 c b))) (.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d d (.f64 c c)))) (pow.f64 (/.f64 (.f64 d a) (neg.f64 (fma.f64 d d (.f64 c c)))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 c (.f64 b (.f64 c b))) (.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d d (.f64 c c)))) (-.f64 (.f64 (/.f64 (.f64 d a) (neg.f64 (fma.f64 d d (.f64 c c)))) (/.f64 (.f64 d a) (neg.f64 (fma.f64 d d (.f64 c c))))) (.f64 (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))) (/.f64 (.f64 d a) (neg.f64 (fma.f64 d d (.f64 c c))))))))
▶	64.0%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (*.f64 d d)))
	38.2%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	36.4%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
▶	57.3%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))) (+.f64 (.f64 c c) (*.f64 d d)))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (-.f64 (.f64 c b) (*.f64 d a))))
	63.9%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (-.f64 (.f64 c b) (.f64 d a)))
▶	55.2%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
	48.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (.f64 c (.f64 c a)) d)) d) a) d))
	52.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
	38.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))))
▶	41.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
	48.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))

Compiler

Compiled 722 to 310 computations (57.1% saved)

simplify187.0ms (2.2%)

Memory

-6.4MiB live, 268.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

4 982×	`lower-fma.f32`
4 978×	`lower-fma.f64`
2 816×	`lower-*.f32`
2 806×	`lower-*.f64`
1 960×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	238
0	48	236
1	76	236
2	131	236
3	235	236
4	413	232
5	778	232
6	1890	232
7	5014	232
8	7850	232
0	8128	232

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1%)

Memory

0.3MiB live, 113.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	94.7%	(fma.f64 c (/.f64 b d) (neg.f64 a))
✓	accuracy	92.6%	(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
✓	accuracy	64.4%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))) (+.f64 (.f64 c c) (*.f64 d d)))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.9%	(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
✓	accuracy	94.7%	(fma.f64 c (/.f64 b d) (neg.f64 a))
✓	accuracy	56.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
✓	accuracy	100.0%	(*.f64 a d)
✓	accuracy	100.0%	(-.f64 (.f64 b c) (.f64 a d))
✓	accuracy	64.4%	(/.f64 (-.f64 (.f64 b c) (.f64 a 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 c)
✓	accuracy	41.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
✓	accuracy	100.0%	(*.f64 b c)
✓	accuracy	100.0%	(*.f64 a d)
✓	accuracy	100.0%	(-.f64 (.f64 b c) (.f64 a d))
✓	accuracy	64.4%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (*.f64 d d)))

Samples

38.0ms

256×

valid

Compiler

Compiled 210 to 20 computations (90.5% saved)

Precisions

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

ival-mult: 9.0ms (44.4% of total)

ival-div: 6.0ms (29.6% of total)

ival-add: 2.0ms (9.9% of total)

ival-sub: 1.0ms (4.9% of total)

ival-neg: 1.0ms (4.9% of total)

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

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

series25.0ms (0.3%)

Memory

7.4MiB live, 45.3MiB allocated

Counts

17 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/ b d)
1.0ms	a	@	0	(/ (+ (* c (/ b d)) (neg a)) d)
1.0ms	d	@	-inf	(/ (+ (* c (/ b d)) (neg a)) d)
0.0ms	d	@	inf	(/ (+ (* c (/ b d)) (neg a)) d)
0.0ms	c	@	-inf	(/ (+ (* c (/ b d)) (neg a)) d)

simplify444.0ms (5.1%)

Memory

3.6MiB live, 420.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 104×	`lower-fma.f64`
8 104×	`lower-fma.f32`
4 196×	`lower-*.f64`
4 196×	`lower-*.f32`
3 300×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	7273
1	855	6913
2	2627	6823
3	7016	6808
0	8184	6475

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

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

rewrite384.0ms (4.4%)

Memory

4.2MiB live, 547.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 568×	`lower-fma.f32`
5 564×	`lower-fma.f64`
4 662×	`lower-*.f32`
4 652×	`lower-*.f64`
4 502×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	177
0	48	177
1	153	177
2	1050	177
0	8442	177

Stop Event

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

Counts

17 → 730

Calls

Call 1

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

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

eval464.0ms (5.3%)

Memory: -162.8MiB live, 315.8MiB allocated
Compiler: Compiled 45 902 to 2 441 computations (94.7% saved)

prune170.0ms (2%)

Memory

15.9MiB live, 302.4MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 709	16	1 725
Fresh	8	2	10
Picked	3	2	5
Done	0	0	0
Total	1 720	20	1 740

Accuracy

99.4%

Counts

1 740 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.6%	(fma.f64 c (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 c c))) (.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
	33.3%	(fma.f64 c (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 c c))) (.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
▶	38.2%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	36.4%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
▶	32.7%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 d #s(approx (+ ( c (/ b d)) (neg a)) (.f64 c (/.f64 b d))))) (+.f64 (.f64 c c) (*.f64 d d)))
	38.7%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) (fma.f64 c c (.f64 d d)))
	28.1%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	21.3%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a (neg.f64 d))) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	36.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (-.f64 (.f64 b c) (*.f64 a d)))
▶	56.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
	52.5%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 d (neg.f64 c)) b) c))
	42.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (fma.f64 (/.f64 a c) (fma.f64 (.f64 d d) (/.f64 d (.f64 c c)) (neg.f64 d)) b) (.f64 d (.f64 b (/.f64 d (*.f64 c c))))) c))
	52.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
	20.5%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
▶	48.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (neg.f64 a)) d))
✓	41.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
▶	40.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
	26.9%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 c b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c b) #s(literal -1/2 binary64))))
	41.2%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
	19.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (.f64 b (/.f64 c (.f64 d d)))))

Compiler

Compiled 596 to 324 computations (45.6% saved)

simplify301.0ms (3.5%)

Memory

-27.1MiB live, 125.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 376×	`lower-fma.f32`
2 374×	`lower-fma.f64`
1 704×	`lower-*.f32`
1 692×	`lower-*.f64`
1 070×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	299
0	59	292
1	90	292
2	130	288
3	219	288
4	407	288
5	764	288
6	1484	288
7	2873	288
8	3885	288
9	4189	288
10	4363	288
11	4489	288
12	4548	288
13	4903	288
14	5176	288
15	5243	288
16	5243	288
17	5355	288
18	5497	288
19	5707	288
20	5707	288
21	5707	288
0	5707	281

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1%)

Memory

19.4MiB live, 137.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.0%	(*.f64 c (/.f64 b d))
✓	accuracy	92.6%	(.f64 d #s(approx (+ ( c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))))
✓	accuracy	64.4%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 d #s(approx (+ ( c (/ b d)) (neg a)) (.f64 c (/.f64 b d))))) (+.f64 (.f64 c c) (*.f64 d d)))
✓	accuracy	47.1%	#s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d)))
✓	accuracy	100.0%	(*.f64 a d)
✓	accuracy	100.0%	(-.f64 (.f64 b c) (.f64 a d))
✓	accuracy	64.4%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	accuracy	58.0%	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 c b))
✓	accuracy	41.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.9%	(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (neg.f64 a)) d)
✓	accuracy	56.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (neg.f64 a)) d))
✓	accuracy	55.5%	#s(approx (+ (* c (/ b d)) (neg a)) (neg.f64 a))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.9%	(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
✓	accuracy	96.2%	(fma.f64 b (/.f64 c d) (neg.f64 a))
✓	accuracy	56.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))

Samples

48.0ms

256×

valid

Compiler

Compiled 213 to 26 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 15.0ms (47.9% of total)

ival-div: 11.0ms (35.1% of total)

ival-add: 3.0ms (9.6% of total)

ival-sub: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

-7.9MiB live, 30.9MiB allocated

Counts

22 → 840

Calls

Call 1

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

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

Calls

210 calls:

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

simplify327.0ms (3.8%)

Memory

9.8MiB live, 380.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 104×	`lower-fma.f64`
8 104×	`lower-fma.f32`
4 196×	`lower-*.f64`
4 196×	`lower-*.f32`
3 302×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	8782
1	856	8341
2	2630	8251
3	7036	8236
0	8199	7885

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

Calls

Call 1

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

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

rewrite349.0ms (4%)

Memory

19.1MiB live, 369.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 772×	`lower-fma.f32`
7 770×	`lower-fma.f64`
5 196×	`lower-*.f32`
5 184×	`lower-*.f64`
3 428×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	269
0	59	262
1	195	258
2	1146	258
0	8511	251

Stop Event

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

Counts

22 → 591

Calls

Call 1

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

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

eval281.0ms (3.2%)

Memory: -12.9MiB live, 220.2MiB allocated
Compiler: Compiled 28 557 to 1 755 computations (93.9% saved)

prune224.0ms (2.6%)

Memory

-6.0MiB live, 190.2MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 453	6	1 459
Fresh	5	8	13
Picked	2	3	5
Done	0	2	2
Total	1 460	19	1 479

Accuracy

99.4%

Counts

1 479 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.3%	(fma.f64 c (/.f64 b #s(approx (+ (* c c) (* d d)) (.f64 c c))) (.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
✓	38.2%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	36.4%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	32.7%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 d #s(approx (+ ( c (/ b d)) (neg a)) (.f64 c (/.f64 b d))))) (fma.f64 d d (.f64 c c)))
	38.7%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) (fma.f64 c c (.f64 d d)))
	19.2%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	28.1%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	21.3%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a (neg.f64 d))) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	36.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (-.f64 (.f64 b c) (*.f64 a d)))
	26.9%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (pow.f64 (pow.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	51.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 (neg.f64 a) c) b) c))
▶	52.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
▶	19.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (/.f64 (*.f64 c b) d)) d))
	20.5%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
✓	48.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (neg.f64 a)) d))
✓	41.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
✓	40.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
	40.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)))
▶	41.2%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))

Compiler

Compiled 464 to 266 computations (42.7% saved)

simplify296.0ms (3.4%)

Memory

8.6MiB live, 126.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 184×	`lower-fma.f64`
2 184×	`lower-fma.f32`
1 528×	`lower-*.f32`
1 512×	`lower-*.f64`
724×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	283
0	58	280
1	96	274
2	159	274
3	367	274
4	800	274
5	1719	274
6	2657	274
7	3458	274
8	4011	274
9	4205	274
10	4229	274
11	4254	274
12	4283	274
13	4340	274
14	4368	274
15	4372	274
16	4373	274
17	4373	274
18	4389	274
19	4429	274
20	4445	274
0	4445	266

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (1.3%)

Memory

-7.7MiB live, 134.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 b c) (.f64 a d))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
✓	accuracy	65.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (-.f64 (.f64 b c) (*.f64 a d)))
✓	accuracy	55.5%	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
✓	accuracy	99.9%	(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (/.f64 (*.f64 c b) d)) d)
✓	accuracy	92.7%	(/.f64 (*.f64 c b) d)
✓	accuracy	56.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (/.f64 (*.f64 c b) d)) d))
✓	accuracy	47.1%	#s(approx (+ (* c (/ b d)) (neg a)) (/.f64 (*.f64 c b) d))
✓	accuracy	100.0%	(neg.f64 d)
✓	accuracy	64.4%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a (neg.f64 d))) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	accuracy	56.3%	#s(approx (- (* b c) (* a d)) (*.f64 a (neg.f64 d)))
✓	accuracy	55.5%	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) c)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) c) b)
✓	accuracy	41.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
✓	accuracy	100.0%	(*.f64 d a)
✓	accuracy	98.8%	(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
✓	accuracy	93.9%	(/.f64 (*.f64 d a) c)
✓	accuracy	53.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))

Samples

74.0ms

256×

valid

Compiler

Compiled 210 to 31 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 37.0ms (65.9% of total)

ival-div: 12.0ms (21.4% of total)

ival-sub: 2.0ms (3.6% of total)

ival-add: 2.0ms (3.6% of total)

ival-neg: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-3.3MiB live, 35.7MiB allocated

Counts

21 → 756

Calls

Call 1

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

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

Calls

189 calls:

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

simplify328.0ms (3.8%)

Memory

7.9MiB live, 441.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 026×	`lower-fma.f64`
8 026×	`lower-fma.f32`
4 754×	`lower-*.f64`
4 754×	`lower-*.f32`
2 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	8310
1	1157	7975
2	3569	7862
0	8405	7550

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 750

Calls

Call 1

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

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

rewrite300.0ms (3.5%)

Memory

-16.5MiB live, 464.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 590×	`lower-fma.f64`
5 590×	`lower-fma.f32`
4 938×	`lower-/.f32`
4 924×	`lower-/.f64`
4 478×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	242
0	58	239
1	205	233
2	1421	233
0	8228	226

Stop Event

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

Counts

21 → 570

Calls

Call 1

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

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

eval160.0ms (1.8%)

Memory: 35.4MiB live, 300.2MiB allocated
Compiler: Compiled 25 140 to 1 741 computations (93.1% saved)

prune178.0ms (2%)

Memory

-24.2MiB live, 300.1MiB allocated

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	1 371	9	1 380
Fresh	3	6	9
Picked	1	4	5
Done	0	5	5
Total	1 375	24	1 399

Accuracy

99.5%

Counts

1 399 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.2%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	36.4%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	32.7%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 d #s(approx (+ ( c (/ b d)) (neg a)) (.f64 c (/.f64 b d))))) (fma.f64 d d (.f64 c c)))
	38.7%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) (fma.f64 c c (.f64 d d)))
	19.2%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	28.1%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	21.3%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 a (neg.f64 d))) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	21.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (- ( b c) (* a d)) (*.f64 d (neg.f64 a))))
	27.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (- ( b c) (* a d)) (*.f64 c b)))
	26.9%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (pow.f64 (pow.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 a d) (/.f64 #s(literal -1 binary64) c) b) c))
	19.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 c (/.f64 c (.f64 a d)))) (/.f64 c b)) (.f64 (/.f64 c b) (.f64 c (/.f64 c (.f64 a d))))))
✓	52.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
	22.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 d (/.f64 (neg.f64 a) c))) c))
✓	19.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (/.f64 (*.f64 c b) d)) d))
	20.5%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 (/.f64 b d) c)) d))
✓	48.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (neg.f64 a)) d))
✓	41.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
✓	40.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
	40.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)))
✓	41.2%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
	18.0%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (exp.f64 (.f64 (log.f64 c) #s(literal -1 binary64))) b))
	46.0%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (.f64 a (/.f64 d (fma.f64 d d (.f64 c c))))))
	20.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (.f64 d (/.f64 a (.f64 c (neg.f64 c))))))

Compiler

Compiled 1 022 to 338 computations (66.9% saved)

regimes70.0ms (0.8%)

Memory

-2.6MiB live, 116.2MiB allocated

Counts

47 → 5

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	d
14.0ms	c
13.0ms	a
12.0ms	b
12.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
70.1%	3	`a`
70.6%	4	`b`
86.4%	5	`c`
91.1%	5	`d`
78.5%	3	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes13.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

39 → 5

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
90.4%	5	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Memory

-23.6MiB live, 14.6MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.3%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.3%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
85.3%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes19.0ms (0.2%)

Memory

-17.8MiB live, 23.7MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

11.0ms	c
7.0ms	d

Results

Accuracy	Segments	Branch
74.0%	4	`c`
81.8%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

22 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
59.9%	4	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`
74.2%	4	`d`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes36.0ms (0.4%)

Memory

-25.0MiB live, 11.9MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

30.0ms	c
5.0ms	d

Results

Accuracy	Segments	Branch
69.6%	4	`c`
72.3%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
41.3%	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`
41.3%	1	`c`
41.3%	1	`b`
41.3%	1	`a`
41.3%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch65.0ms (0.8%)

Memory

17.4MiB live, 52.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	2.1181750554061355e+144	7.718797246920066e+155
14.0ms	1.45524771237022e-124	3.163794940571522e-116
14.0ms	-5.624278929030991e-71	-4.925654913661403e-76
10.0ms	-5.009444713057188e+127	-4.1018726147848246e+126

Samples

41.0ms

544×

valid

Compiler

Compiled 1 329 to 735 computations (44.7% saved)

Precisions

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

ival-mult: 19.0ms (68.5% of total)

ival-div: 3.0ms (10.8% of total)

ival-sub: 2.0ms (7.2% of total)

ival-add: 2.0ms (7.2% of total)

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

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

bsearch22.0ms (0.3%)

Memory

-12.9MiB live, 23.4MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	4.3339426933138643e+30	3.941701814707969e+38
1.0ms	1.45524771237022e-124	3.163794940571522e-116
1.0ms	-5.624278929030991e-71	-4.925654913661403e-76
0.0ms	-5.009444713057188e+127	-4.1018726147848246e+126

Samples

14.0ms

144×

valid

Compiler

Compiled 1 162 to 696 computations (40.1% saved)

Precisions

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

ival-mult: 4.0ms (71% of total)

ival-sub: 1.0ms (17.8% of total)

ival-div: 1.0ms (17.8% of total)

ival-add: 1.0ms (17.8% of total)

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

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

bsearch34.0ms (0.4%)

Memory

-25.7MiB live, 33.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.45524771237022e-124	3.163794940571522e-116
11.0ms	-414893798746.17413	-3620095603.5055614

Samples

16.0ms

240×

valid

Compiler

Compiled 518 to 322 computations (37.8% saved)

Precisions

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

ival-mult: 6.0ms (61.7% of total)

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

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

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

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

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.45524771237022e-124	3.163794940571522e-116
1.0ms	-414893798746.17413	-3620095603.5055614

Compiler

Compiled 502 to 306 computations (39% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.45524771237022e-124	3.163794940571522e-116
1.0ms	-414893798746.17413	-3620095603.5055614

Compiler

Compiled 502 to 306 computations (39% saved)

bsearch13.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.3339426933138643e+30	3.941701814707969e+38
0.0ms	-414893798746.17413	-3620095603.5055614

Samples

7.0ms

112×

valid

Compiler

Compiled 422 to 274 computations (35.1% saved)

Precisions

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

ival-mult: 3.0ms (68.4% of total)

ival-div: 1.0ms (22.8% of total)

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

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

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

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

bsearch50.0ms (0.6%)

Memory

17.7MiB live, 53.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	3.163794940571522e-116	2.3233636394426206e-104
14.0ms	-1.1197583260552708e-65	-5.624278929030991e-71
11.0ms	-3.5853411747926075e+129	-5.009444713057188e+127

Samples

32.0ms

416×

valid

Compiler

Compiled 635 to 411 computations (35.3% saved)

Precisions

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

ival-mult: 10.0ms (60.4% of total)

ival-sub: 2.0ms (12.1% of total)

ival-div: 2.0ms (12.1% of total)

ival-add: 2.0ms (12.1% of total)

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

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

bsearch5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.163794940571522e-116	2.3233636394426206e-104
3.0ms	-414893798746.17413	-3620095603.5055614

Samples

2.0ms

32×

valid

Compiler

Compiled 345 to 239 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (79.6% of total)

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

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

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

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

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

simplify17.0ms (0.2%)

Memory

-17.0MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
22×	`+-commutative_binary64`
22×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	754
1	114	754
2	144	754
3	159	754
4	167	754
5	169	754

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -4199999999999999834751324097295431163614375847823891290088432213478707365164952889794664281138774527433162141962550229631762432 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -230757981694141/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 a d) (/.f64 #s(literal -1 binary64) c) b) c)) (if (<=.f64 d #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -4199999999999999834751324097295431163614375847823891290088432213478707365164952889794664281138774527433162141962550229631762432 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -230757981694141/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 a d) (/.f64 #s(literal -1 binary64) c) b) c)) (if (<=.f64 d #s(literal 379999999999999980111797770245780799488 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5500976673135697/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 a d) (/.f64 #s(literal -1 binary64) c) b) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5500976673135697/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5500976673135697/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 85000000000000002867884413843144704 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))))
(if (<=.f64 d #s(literal -3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal -7576408679680343/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (.f64 a (/.f64 d (fma.f64 d d (.f64 c c)))))) (if (<=.f64 d #s(literal 4315373364262743/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -54000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 4315373364262743/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))

Outputs
(if (<=.f64 d #s(literal -4199999999999999834751324097295431163614375847823891290088432213478707365164952889794664281138774527433162141962550229631762432 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -230757981694141/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 a d) (/.f64 #s(literal -1 binary64) c) b) c)) (if (<=.f64 d #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -4199999999999999834751324097295431163614375847823891290088432213478707365164952889794664281138774527433162141962550229631762432 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -230757981694141/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 d a)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)) (if (<=.f64 d #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 b c) (fma.f64 d d (.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -4199999999999999834751324097295431163614375847823891290088432213478707365164952889794664281138774527433162141962550229631762432 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -230757981694141/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 a d) (/.f64 #s(literal -1 binary64) c) b) c)) (if (<=.f64 d #s(literal 379999999999999980111797770245780799488 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -4199999999999999834751324097295431163614375847823891290088432213478707365164952889794664281138774527433162141962550229631762432 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -230757981694141/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 d a)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)) (if (<=.f64 d #s(literal 379999999999999980111797770245780799488 binary64)) (/.f64 (-.f64 (.f64 b c) (.f64 d a)) (fma.f64 c c (.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5500976673135697/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 a d) (/.f64 #s(literal -1 binary64) c) b) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5500976673135697/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5500976673135697/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5500976673135697/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -65000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 85000000000000002867884413843144704 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))))
(if (<=.f64 d #s(literal -3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal -7576408679680343/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (.f64 a (/.f64 d (fma.f64 d d (.f64 c c)))))) (if (<=.f64 d #s(literal 4315373364262743/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal -7576408679680343/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 a (/.f64 (neg.f64 d) (fma.f64 d d (.f64 c c))))) (if (<=.f64 d #s(literal 4315373364262743/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -54000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 4315373364262743/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))

soundness762.0ms (8.8%)

Memory

-23.0MiB live, 586.2MiB allocated

Rules

8 026×	`lower-fma.f64`
8 026×	`lower-fma.f32`
7 930×	`lower-fma.f64`
7 930×	`lower-fma.f32`
5 590×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	8310
1	1157	7975
2	3569	7862
0	8405	7550
0	40	242
0	58	239
1	205	233
2	1421	233
0	8228	226
0	11	35
0	18	35
1	65	35
2	505	35
3	6376	35
0	8178	33
0	191	1511
1	623	1461
2	1863	1441
3	5484	1432
0	8487	1356
0	31	177
0	48	177
1	153	177
2	1050	177
0	8442	177

Stop Event

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

Compiler

Compiled 829 to 337 computations (59.3% saved)

preprocess62.0ms (0.7%)

Memory: 11.0MiB live, 87.4MiB allocated
Compiler: Compiled 856 to 218 computations (74.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze55.0ms (0.6%)

sample1.1s (13%)

preprocess338.0ms (3.9%)

explain282.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify63.0ms (0.7%)

localize32.0ms (0.4%)

series15.0ms (0.2%)

simplify280.0ms (3.2%)

rewrite317.0ms (3.7%)

eval102.0ms (1.2%)

prune93.0ms (1.1%)

simplify187.0ms (2.2%)

localize87.0ms (1%)

series25.0ms (0.3%)

simplify444.0ms (5.1%)

rewrite384.0ms (4.4%)

eval464.0ms (5.3%)

prune170.0ms (2%)

simplify301.0ms (3.5%)

localize91.0ms (1%)

series19.0ms (0.2%)

simplify327.0ms (3.8%)

rewrite349.0ms (4%)

eval281.0ms (3.2%)

prune224.0ms (2.6%)

simplify296.0ms (3.4%)

localize111.0ms (1.3%)

series26.0ms (0.3%)

simplify328.0ms (3.8%)

rewrite300.0ms (3.5%)

eval160.0ms (1.8%)

prune178.0ms (2%)

regimes70.0ms (0.8%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes19.0ms (0.2%)

regimes13.0ms (0.2%)

regimes36.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch65.0ms (0.8%)

bsearch22.0ms (0.3%)

bsearch34.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

bsearch50.0ms (0.6%)

bsearch5.0ms (0.1%)

simplify17.0ms (0.2%)

soundness762.0ms (8.8%)

preprocess62.0ms (0.7%)

end0.0ms (0%)

Profiling