Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze26.0ms (0.4%)

Memory

33.0MiB live, 72.1MiB 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)

sample832.0ms (12.8%)

Memory

-0.5MiB live, 1 048.1MiB allocated

Samples

561.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-mult: 230.0ms (63.1% of total)

ival-add: 75.0ms (20.6% of total)

ival-div: 50.0ms (13.7% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain117.0ms (1.8%)

Memory

-19.9MiB live, 117.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
113	1	(1.5417766281275307e-59 5.9640002918825634e+47 -3.633661216179269e+263 -6.011068328185686e-244)	1	(7.803600828587138e-288 -8.597736184409563e-139 -5.675033005751672e-30 5.3259563648506e-228)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
2	0	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	0	-	0	-	`a`
0	0	-	0	-	`d`
0	0	-	0	-	`(*.f64 d d)`
0	0	-	0	-	`(*.f64 c c)`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	58	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	68
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	37
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	124
↳	`(*.f64 c c)`	overflow	70
↳	`(*.f64 d d)`	overflow	68
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	36	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	124
↳	`(*.f64 c c)`	overflow	70
↳	`(*.f64 d d)`	overflow	68
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	10	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	68
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	37
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	7	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	13
↳	`(*.f64 c c)`	underflow	70
↳	`(*.f64 d d)`	underflow	55
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	2	0
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	37
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	1	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	2
↳	`(*.f64 a c)`	underflow	38
↳	`(*.f64 b d)`	underflow	17
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	1	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	2
↳	`(*.f64 a c)`	underflow	38
↳	`(*.f64 b d)`	underflow	17
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	13
↳	`(*.f64 c c)`	underflow	70
↳	`(*.f64 d d)`	underflow	55

Confusion

	Predicted +	Predicted -
+	112	1
-	1	142

Precision

0.9911504424778761

Recall

0.9911504424778761

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	112	0	1
-	1	0	142

Precision?

0.9911504424778761

Recall?

0.9911504424778761

Freqs

test

number	freq
0	143
1	111
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

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

ival-mult: 14.0ms (63.7% of total)

ival-add: 4.0ms (18.2% of total)

ival-div: 3.0ms (13.7% of total)

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

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

preprocess325.0ms (5%)

Memory

9.1MiB live, 47.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

24.5MiB live, 24.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b d)
accuracy	0	(*.f64 a c)
accuracy	0.45312293583020585	(+.f64 (.f64 a c) (.f64 b d))
accuracy	27.01603545258882	(/.f64 (+.f64 (.f64 a c) (.f64 b 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-add: 2.0ms (19.6% of total)

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

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

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

series19.0ms (0.3%)

Memory

-22.2MiB live, 16.1MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())
#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())
#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())

Outputs
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
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#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) d)) d) (taylor inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) (taylor inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (.f64 c c) (.f64 d d)) (patch (+.f64 (.f64 c c) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
2.0ms	d	@	-inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms	c	@	inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms	c	@	0	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms	c	@	-inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))

simplify127.0ms (2%)

Memory

29.2MiB live, 101.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 644×	`lower-fma.f64`
7 644×	`lower-fma.f32`
4 318×	`lower-*.f64`
4 318×	`lower-*.f32`
1 834×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1890	1394
3	5760	1392
0	8315	1262

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite401.0ms (6.2%)

Memory

-20.6MiB live, 138.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 346

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64)))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 d b) (.f64 c a)) (*.f64 d b))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (-.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (.f64 c a)))
(.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 d b) (*.f64 c a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (.f64 c a))))
(.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a)))
(.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))))
(.f64 (fma.f64 d b (.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 (neg.f64 d) b (.f64 c a))))
(.f64 (fma.f64 d b (.f64 c a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 d b) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 d b) a) c) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 9 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 d b) a) c) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 d b) (.f64 c a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))))) (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 d b) (*.f64 c a)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (.f64 c a))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
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(/.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 9 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c))) (-.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 d b) a) c) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (neg.f64 (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d d (*.f64 c c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 d d (.f64 c c))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (.f64 (fma.f64 d d (.f64 c c)) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 d d (.f64 c c))) (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (.f64 (fma.f64 d d (.f64 c c)) (neg.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (fma.f64 d b (.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 d d (.f64 c c))) (fma.f64 d b (.f64 c a))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 d d (.f64 c c))) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 (neg.f64 d) b (.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 d d (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))
(/.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 d d (.f64 c c))) (neg.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d d (.f64 c c)))))
(/.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c))))
(/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (neg.f64 (fma.f64 d d (.f64 c c))))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 d d (*.f64 c c)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 c c) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d)))
(fma.f64 (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(fma.f64 (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 d b) (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)))
(fma.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 c a) (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)))
(fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(fma.f64 (.f64 c c) (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))))
(fma.f64 (.f64 d b) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 (.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(fma.f64 (.f64 c a) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 (.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d d (.f64 c c)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 d d (.f64 c c)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (fma.f64 d d (.f64 c c))) (/.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (fma.f64 d d (.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 d d (.f64 c c))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 c c) (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (.f64 (.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))))
(+.f64 (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (.f64 (.f64 d b) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64))) (.f64 (.f64 c a) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 c a) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64))) (.f64 (.f64 d b) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 c c)) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 (neg.f64 d) d)))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 d b)) (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 c a)))
(+.f64 (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 c a)) (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 d b)))
(*.f64 (exp.f64 (log.f64 a)) c)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 c a)
(*.f64 a c)
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 c a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 c a)))
(*.f64 (exp.f64 (log.f64 b)) d)
(*.f64 d (exp.f64 (log.f64 b)))
(*.f64 d b)
(*.f64 b d)
(pow.f64 (*.f64 d b) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 d b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 d b)))

eval52.0ms (0.8%)

Memory: 18.4MiB live, 54.5MiB allocated
Compiler: Compiled 13 262 to 1 077 computations (91.9% saved)

prune40.0ms (0.6%)

Memory

-5.2MiB live, 33.6MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

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

Accuracy

99.8%

Counts

515 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.0%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	34.9%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
	36.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c)))))
	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
	48.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
▶	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	52.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	47.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (.f64 (.f64 c b) c) d)) d)) d))
▶	46.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
	44.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	35.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c))

Compiler

Compiled 316 to 256 computations (19% saved)

simplify228.0ms (3.5%)

Memory

4.5MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

6 176×	`lower-fma.f32`
6 170×	`lower-fma.f64`
2 856×	`lower-*.f32`
2 844×	`lower-*.f64`
1 484×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	279
0	57	279
1	81	279
2	115	269
3	181	269
4	481	269
5	1651	269
6	4257	269
7	5500	269
8	5853	269
9	6016	269
10	6096	269
11	6142	269
12	6176	269
13	6343	269
14	6474	269
15	6558	269
16	6558	269
17	7595	269
0	8072	260

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.5%)

Memory

5.7MiB live, 81.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.3804911616039455	(/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)
accuracy	6.6650459655616086	(/.f64 (.f64 (.f64 d d) a) c)
accuracy	7.717954408112182	(.f64 (.f64 d d) a)
accuracy	28.107821914984164	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
accuracy	0	(*.f64 a c)
accuracy	0.45312293583020585	(+.f64 (.f64 a c) (.f64 b d))
accuracy	26.25147184746063	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	27.01603545258882	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	0	(*.f64 d d)
accuracy	9.758798434204046	(/.f64 b (fma.f64 c c (*.f64 d d)))
accuracy	11.074769638381007	(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
accuracy	23.364837543388596	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
accuracy	0	(/.f64 a c)
accuracy	38.045754839851874	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(/.f64 b c)
accuracy	0.3269596448207005	(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy	3.656907613184302	(fma.f64 (/.f64 b c) d a)
accuracy	27.79249461923212	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))

Samples

80.0ms

256×

valid

Compiler

Compiled 246 to 28 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 33.0ms (53.1% of total)

ival-div: 22.0ms (35.4% of total)

ival-add: 4.0ms (6.4% of total)

ival-sub: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series125.0ms (1.9%)

Memory

-10.1MiB live, 73.4MiB allocated

Counts

23 → 864

Calls

Call 1

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

Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (patch (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (.f64 d d))) (patch (/.f64 b (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 c c))) (patch (/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow d 2)) c) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) (patch (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) #<representation binary64>) () ())) ())
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#s(alt (/ (* a (pow d 2)) (pow c 2)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) (patch (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) (patch (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) (patch (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) (patch (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* d d) (+ (* c c) (* d d)) (* (* d d) a) (/ (* (* d d) a) c) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c))
9.0ms	d	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* d d) (+ (* c c) (* d d)) (* (* d d) a) (/ (* (* d d) a) c) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c))
4.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* d d) (+ (* c c) (* d d)) (* (* d d) a) (/ (* (* d d) a) c) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c))
4.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* d d) (+ (* c c) (* d d)) (* (* d d) a) (/ (* (* d d) a) c) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c))
3.0ms	b	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* d d) (+ (* c c) (* d d)) (* (* d d) a) (/ (* (* d d) a) c) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c))

simplify191.0ms (2.9%)

Memory

11.9MiB live, 203.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 134×	`lower-fma.f64`
9 134×	`lower-fma.f32`
5 986×	`lower-*.f64`
5 986×	`lower-*.f32`
2 366×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	509	10659
1	1671	10259
2	5229	10140
0	8351	9564

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 855

Calls

Call 1

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

Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ (* b d) (pow c 2))
(.f64 (/.f64 d (.f64 c c)) b)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (.f64 (.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (.f64 c c) (/.f64 b d))
(/ b (pow d 2))
(/.f64 (/.f64 b d) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(/.f64 (.f64 (neg.f64 b) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (.f64 d d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (.f64 (.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (.f64 c c) (/.f64 (/.f64 b d) d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (+ (* -1 (* b (* c d))) (* a (pow d 2))) c)
(/.f64 (fma.f64 (.f64 (neg.f64 c) d) b (.f64 (*.f64 d d) a)) c)
(/ (+ (* -1 (* b (* c d))) (* a (pow d 2))) c)
(/.f64 (fma.f64 (.f64 (neg.f64 c) d) b (.f64 (*.f64 d d) a)) c)
(/ (+ (* -1 (* b (* c d))) (* a (pow d 2))) c)
(/.f64 (fma.f64 (.f64 (neg.f64 c) d) b (.f64 (*.f64 d d) a)) c)
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(.f64 (.f64 (/.f64 (/.f64 (neg.f64 d) c) c) a) d)
(/ (- (* b (* c d)) (* a (pow d 2))) (pow c 2))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (*.f64 c d) b)) c) c)
(/ (- (* c (- (* a c) (* -1 (* b d)))) (* a (pow d 2))) (pow c 2))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (fma.f64 c a (*.f64 d b)) c)) c) c)
(/ (- (* c (- (* a c) (* -1 (* b d)))) (* a (pow d 2))) (pow c 2))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (fma.f64 c a (*.f64 d b)) c)) c) c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* -1 (/ (* a (pow d 2)) (pow c 3)))
(.f64 (.f64 (neg.f64 d) d) (/.f64 a (pow.f64 c #s(literal 3 binary64))))
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3))
(/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (*.f64 c d) b)) (pow.f64 c #s(literal 3 binary64)))
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))
(/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (fma.f64 c a (*.f64 d b)) c)) (pow.f64 c #s(literal 3 binary64)))
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))
(/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (fma.f64 c a (*.f64 d b)) c)) (pow.f64 c #s(literal 3 binary64)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (* a (pow d 2)) (pow c 2))
(/.f64 (/.f64 (.f64 (.f64 d d) a) c) c)
(/ (+ (* -1 (* b (* c d))) (* a (pow d 2))) (pow c 2))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 c) d) b (.f64 (*.f64 d d) a)) c) c)
(/ (+ (* -1 (* b (* c d))) (* a (pow d 2))) (pow c 2))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 c) d) b (.f64 (*.f64 d d) a)) c) c)
(/ (+ (* -1 (* b (* c d))) (* a (pow d 2))) (pow c 2))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 c) d) b (.f64 (*.f64 d d) a)) c) c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) d) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
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(* (pow d 2) (+ (* -1 (/ b d)) (/ a c)))
(.f64 (.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d) d)
(* (pow d 2) (+ (* -1 (/ b d)) (/ a c)))
(.f64 (.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d) d)
(* (pow d 2) (+ (* -1 (/ b d)) (/ a c)))
(.f64 (.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d) d)
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(.f64 (.f64 (/.f64 (/.f64 (neg.f64 d) c) c) a) d)
(* (pow d 2) (- (/ b (* c d)) (/ a (pow c 2))))
(.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a c) c)) (.f64 d d))
(* (pow d 2) (- (* -1 (/ (- (* -1 (/ a d)) (/ b c)) d)) (/ a (pow c 2))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d) (/.f64 (/.f64 a c) c)) (.f64 d d))
(* (pow d 2) (- (* -1 (/ (- (* -1 (/ a d)) (/ b c)) d)) (/ a (pow c 2))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d) (/.f64 (/.f64 a c) c)) (.f64 d d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 c) c) d) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d)
(* -1 (/ (* a (pow d 2)) (pow c 3)))
(.f64 (.f64 (neg.f64 d) d) (/.f64 a (pow.f64 c #s(literal 3 binary64))))
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (/.f64 b c) c) d) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d) d)
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))
(.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b c) c)) d) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d) d)
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))
(.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b c) c)) d) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d) d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (.f64 d d))
(* a (pow d 2))
(.f64 (.f64 d d) a)
(* a (pow d 2))
(.f64 (.f64 d d) a)
(* a (pow d 2))
(.f64 (.f64 d d) a)
(* a (pow d 2))
(.f64 (.f64 d d) a)
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (* a (pow d 2)) c)
(/.f64 (.f64 (.f64 d d) a) c)
(/ (* a (pow d 2)) (pow c 2))
(/.f64 (/.f64 (.f64 (.f64 d d) a) c) c)
(* (pow d 2) (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 a c) c) (/.f64 (/.f64 b c) d)) d) d)
(* (pow d 2) (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 a c) c) (/.f64 (/.f64 b c) d)) d) d)
(* (pow d 2) (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 a c) c) (/.f64 (/.f64 b c) d)) d) d)

rewrite198.0ms (3.1%)

Memory

-19.0MiB live, 138.6MiB allocated

Rules

5 682×	`lower-fma.f32`
5 676×	`lower-fma.f64`
5 342×	`lower-/.f32`
5 326×	`lower-/.f64`
4 242×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	254
0	57	254
1	192	254
2	1451	254
0	8316	248

Stop Event

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

Counts

23 → 699

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(.f64 (/.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) c) (/.f64 (fma.f64 (/.f64 b c) d a) (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 c (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a)) c) (pow.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) c) (pow.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a))) (pow.f64 c #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) c)))
(.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) c)))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)))))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 (/.f64 b c) d a))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 c (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (pow.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) c) (/.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) (fma.f64 (/.f64 b c) d (neg.f64 a))))
(*.f64 (fma.f64 (/.f64 b c) d a) (pow.f64 c #s(literal -1 binary64)))
(pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) c)) (neg.f64 (fma.f64 (/.f64 b c) d (neg.f64 a))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) c)) (neg.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64))) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) c)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))) c)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) c) (fma.f64 (/.f64 b c) d (neg.f64 a)))
(/.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) c) (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64)) c)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a))) (neg.f64 (*.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)))) (neg.f64 (.f64 c (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) c))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))) c))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) (*.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))))
(/.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 3 binary64))) c)))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) c) (.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) c) (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a))) (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)))))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 b c) d a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) (.f64 c (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (neg.f64 c))
(/.f64 (fma.f64 (/.f64 b c) d a) (*.f64 c #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c))
(neg.f64 (/.f64 (fma.f64 (/.f64 b c) d a) (neg.f64 c)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a)))) (/.f64 (.f64 a a) (.f64 c (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) c) (/.f64 (/.f64 (.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a))) c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (fma.f64 (/.f64 b c) d a) (neg.f64 c)))
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a (.f64 (/.f64 b c) d))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b c) d a))
(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 b c) d) a)))))
(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (fma.f64 (/.f64 (.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a))) (/.f64 (.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 (/.f64 b c) d))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) (.f64 a a))) (*.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) (fma.f64 (/.f64 b c) d (neg.f64 a))))
(/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) (-.f64 a (*.f64 (/.f64 b c) d)))
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(neg.f64 (/.f64 (.f64 (.f64 d d) a) (neg.f64 c)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (.f64 (.f64 d d) a) (neg.f64 c)))
(exp.f64 (.f64 (log.f64 (/.f64 c (.f64 (*.f64 d d) a))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) c) (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (*.f64 d d) a) c)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 c (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) c) (pow.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (*.f64 d d) a) c)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) c) (pow.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)))) (pow.f64 c #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (*.f64 d d) a) c)) c)))
(.f64 (.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) c)))
(.f64 (.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) #s(literal 1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 c (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c)))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c))) c))
(.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)) c))
(.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 c (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c))) (pow.f64 (neg.f64 c) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c) (/.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c)) (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (*.f64 d d) a) c))))
(.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)) (pow.f64 c #s(literal -1 binary64)))
(pow.f64 (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) c)) (neg.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) c)) (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c)) c)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) c)))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)) #s(literal 1 binary64))) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) c) (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) c) (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64)))) (neg.f64 (.f64 c (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (*.f64 d d) a) c)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64)))) (neg.f64 (.f64 c (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c)) c))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) c))
(/.f64 (.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)) #s(literal 1 binary64)) c)
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) (.f64 c (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (*.f64 d d) a) c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)))))
(/.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c)) (/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c)) c) (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) c) (.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 c (.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c))) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (*.f64 d d) a) c) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 c (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))))))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))))
(/.f64 (fma.f64 (pow.f64 (/.f64 c a) #s(literal -3 binary64)) (pow.f64 d #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (.f64 c (fma.f64 (/.f64 (.f64 (.f64 d d) a) c) (-.f64 (/.f64 (.f64 (.f64 d d) a) c) (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))) (neg.f64 c))
(/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) (*.f64 c #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))) c))
(-.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 c (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c)))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64)) (.f64 c (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (*.f64 d d) a) c)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (.f64 d d) a) c))) c) (/.f64 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 d d) a) c) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 b) d) (/.f64 (.f64 (*.f64 d d) a) c))) c))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 d d) a) c) c) (*.f64 (/.f64 b c) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))) c))
(exp.f64 (.f64 (log.f64 (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)))) #s(literal -1 binary64)))

eval203.0ms (3.1%)

Memory: 44.8MiB live, 227.8MiB allocated
Compiler: Compiled 33 107 to 3 517 computations (89.4% saved)

prune95.0ms (1.5%)

Memory

-33.3MiB live, 131.5MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 558	14	1 572
Fresh	5	3	8
Picked	2	3	5
Done	0	0	0
Total	1 565	20	1 585

Accuracy

99.8%

Counts

1 585 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
✓	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
▶	56.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	35.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) c) (fma.f64 (/.f64 b c) d (neg.f64 a))))
	46.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))))) c))
	24.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c))
▶	44.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
▶	37.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
✓	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	27.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
	21.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
	35.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c))
	34.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( c c) (* d d))) (/.f64 (/.f64 b d) d)) d))
	26.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( c c) (* d d))) (/.f64 (/.f64 b c) c)) d))
	20.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 (/.f64 d (.f64 c c)) b)))
	42.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))

Compiler

Compiled 390 to 347 computations (11% saved)

simplify22.0ms (0.3%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

400×	`lower-*.f32`
396×	`lower-*.f64`
212×	`lower-/.f32`
196×	`lower-/.f64`
188×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	203
0	45	203
1	64	203
2	77	199
3	88	199
4	137	199
5	182	199
6	287	199
7	341	199
8	373	199
9	399	199
10	463	197
11	531	197
12	589	197
13	614	197
0	614	190

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.2%)

Memory

8.3MiB live, 86.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 b d)
accuracy	0.16015625	(/.f64 (/.f64 c d) d)
accuracy	5.4565665853387575	(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
accuracy	29.253657601946276	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
accuracy	0	(*.f64 d d)
accuracy	2.592201489749461	(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
accuracy	19.672216766099574	(/.f64 c (fma.f64 c c (*.f64 d d)))
accuracy	30.34060256467065	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
accuracy	0	(/.f64 c a)
accuracy	0.23490824437810015	(/.f64 #s(literal 1 binary64) (/.f64 c a))
accuracy	38.045754839851874	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
accuracy	0	(/.f64 b d)
accuracy	35.554607634548276	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0	(/.f64 d c)
accuracy	0.3269596448207005	(/.f64 (fma.f64 b (/.f64 d c) a) c)
accuracy	2.1889517499347115	(fma.f64 b (/.f64 d c) a)
accuracy	27.79249461923212	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))

Samples

64.0ms

256×

valid

Compiler

Compiled 175 to 27 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 22.0ms (47% of total)

ival-div: 20.0ms (42.7% of total)

ival-add: 4.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.8%)

Memory

10.2MiB live, 83.1MiB allocated

Counts

18 → 624

Calls

Call 1

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

Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 d c) a) c) (patch (/.f64 (fma.f64 b (/.f64 d c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (/ c a) (taylor 0 c) (#s(alt (/.f64 c a) (patch (/.f64 c a) #<representation binary64>) () ())) ())
#s(alt (/ c a) (taylor 0 c) (#s(alt (/.f64 c a) (patch (/.f64 c a) #<representation binary64>) () ())) ())
#s(alt (/ c a) (taylor 0 c) (#s(alt (/.f64 c a) (patch (/.f64 c a) #<representation binary64>) () ())) ())
#s(alt (/ c a) (taylor 0 c) (#s(alt (/.f64 c a) (patch (/.f64 c a) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (patch (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (patch (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (patch (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (patch (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (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)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) (patch (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) (patch (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) (patch (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) (patch (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (patch (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (patch (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (patch (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (.f64 d d))) (patch (/.f64 c (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) (patch (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) (patch (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) (patch (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) (patch (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (/.f64 c d) d) (patch (/.f64 (/.f64 c d) d) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (/.f64 c d) d) (patch (/.f64 (/.f64 c d) d) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (/.f64 c d) d) (patch (/.f64 (/.f64 c d) d) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (/.f64 c d) d) (patch (/.f64 (/.f64 c d) d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (.f64 d d) (patch (.f64 d d) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	c	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ c d) d) (/ c d) (* d d))
6.0ms	d	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ c d) d) (/ c d) (* d d))
4.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ c d) d) (/ c d) (* d d))
3.0ms	c	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ c d) d) (/ c d) (* d d))
3.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ c d) d) (/ c d) (* d d))

simplify186.0ms (2.9%)

Memory

-11.3MiB live, 224.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 768×	`lower-fma.f64`
9 768×	`lower-fma.f32`
4 898×	`lower-*.f64`
4 898×	`lower-*.f32`
2 866×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	7492
1	1286	7382
2	3938	7231
0	8130	6720

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 618

Calls

Call 1

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

Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ (* b d) (pow c 2))
(.f64 (/.f64 b (.f64 c c)) d)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ (* a c) (pow d 2))
(.f64 (/.f64 c (.f64 d d)) a)
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(fma.f64 (/.f64 (neg.f64 a) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (.f64 (/.f64 c (.f64 d d)) a))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(fma.f64 (/.f64 a d) (/.f64 c d) (.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64))))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(fma.f64 (/.f64 a d) (/.f64 c d) (.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64))))))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) d) (/.f64 c (*.f64 d d)))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 c (*.f64 d d)))
(* c (+ (* (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))))
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64)))) (.f64 c c) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 c (.f64 d d)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
a
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(/ a c)
(/.f64 a c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c))
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (-.f64 a (*.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))))) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)) (neg.f64 c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c)
(/ (* a c) (pow d 2))
(.f64 (/.f64 c (.f64 d d)) a)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (.f64 d d))) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (.f64 d d))) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (.f64 d d))) c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (.f64 d d) a (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
a
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (.f64 d d) a (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (.f64 d d) a (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ c a)
(/.f64 c a)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 d) d) c) a (.f64 d b)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (.f64 d d) a (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(/.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c)
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(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 (neg.f64 c) d)) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d)
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)

rewrite184.0ms (2.8%)

Memory

-5.1MiB live, 201.0MiB allocated

Rules

4 554×	`lower-/.f32`
4 538×	`lower-/.f64`
3 974×	`lower-fma.f32`
3 968×	`lower-fma.f64`
3 756×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	184
0	45	184
1	165	180
2	1212	180
0	8544	175

Stop Event

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

Counts

18 → 517

Calls

Call 1

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

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

eval399.0ms (6.1%)

Memory: 20.0MiB live, 171.5MiB allocated
Compiler: Compiled 18 478 to 2 328 computations (87.4% saved)

prune54.0ms (0.8%)

Memory

-36.0MiB live, 90.6MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	1 168	10	1 178
Fresh	4	8	12
Picked	1	4	5
Done	0	3	3
Total	1 173	25	1 198

Accuracy

99.9%

Counts

1 198 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
▶	50.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
▶	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
✓	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	53.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) a) c))
✓	56.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
	19.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (.f64 (/.f64 d c) d) (.f64 d a)) (.f64 d (.f64 (/.f64 d c) d))))
	39.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 d c) b) #s(literal 2 binary64)) (.f64 a a)) c) (fma.f64 (/.f64 d c) b (neg.f64 a))))
	46.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))))) c))
	34.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
▶	24.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c))
✓	44.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	44.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
✓	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
▶	19.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
	28.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 c c))) a))
✓	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	21.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
	35.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
▶	44.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
	26.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( c c) (* d d))) (/.f64 (/.f64 b c) c)) d))
	20.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 (/.f64 d (.f64 c c)) b)))
	42.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))

Compiler

Compiled 470 to 412 computations (12.3% saved)

simplify307.0ms (4.7%)

Memory

18.6MiB live, 94.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a d)
cost-diff	0	(/.f64 c d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
cost-diff	704	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
cost-diff	0	(/.f64 (*.f64 d b) c)
cost-diff	0	#s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c))
cost-diff	0	(/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c))
cost-diff	0	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
cost-diff	0	(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
cost-diff	0	(.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
cost-diff	0	(/.f64 #s(literal -1 binary64) d)
cost-diff	0	(neg.f64 b)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
cost-diff	448	(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))
cost-diff	0	(/.f64 c d)
cost-diff	0	(fma.f64 (/.f64 c d) a b)
cost-diff	0	(/.f64 (fma.f64 (/.f64 c d) a b) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))

Rules

9 768×	`lower-fma.f32`
9 764×	`lower-fma.f64`
2 768×	`lower-*.f32`
2 760×	`lower-*.f64`
2 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	303
0	58	302
1	95	296
2	149	284
3	237	284
4	575	284
5	1456	284
6	2916	284
7	3887	284
8	4319	284
9	4575	284
10	4699	284
11	4735	284
12	5163	284
13	5510	284
14	5801	284
15	5992	284
16	6462	284
17	6822	284
18	6971	284
19	7023	284
20	7051	284
21	7051	284
0	8423	267

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1.6%)

Memory

17.3MiB live, 135.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 b d)
accuracy	0	(/.f64 a d)
accuracy	2.8731354958085418	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
accuracy	29.253657601946276	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
accuracy	0.06640625	(/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c)
accuracy	4.674704125983578	(/.f64 (*.f64 d b) c)
accuracy	28.107821914984164	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c))
accuracy	40.38434995660968	#s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c))
accuracy	2.592201489749461	(.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a)
accuracy	19.672216766099574	(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy	29.3577600925336	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	30.34060256467065	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
accuracy	0	(/.f64 #s(literal -1 binary64) d)
accuracy	0	(neg.f64 b)
accuracy	0.21875	(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))
accuracy	35.554607634548276	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
accuracy	0	(/.f64 c d)
accuracy	1.1892443162965567	(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy	2.591140222535955	(fma.f64 (/.f64 c d) a b)
accuracy	29.253657601946276	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))

Samples

87.0ms

256×

valid

Compiler

Compiled 216 to 36 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 18.0ms (38.6% of total)

ival-div: 17.0ms (36.4% of total)

ival-add: 9.0ms (19.3% of total)

ival-sub: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (1.1%)

Memory

-22.3MiB live, 51.7MiB allocated

Counts

20 → 720

Calls

Call 1

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

Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (.f64 d d))) a)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (.f64 d d))) a)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (.f64 d d))) a)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (.f64 d d))) a)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (.f64 d d))) a) (patch (.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (.f64 d d))) a) (patch (.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (.f64 d d))) a) (patch (.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (patch (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* d b) c) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a d) (/ b d))
3.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* d b) c) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a d) (/ b d))
3.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* d b) c) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a d) (/ b d))
2.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* d b) c) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a d) (/ b d))
2.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (* d b) c) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a d) (/ b d))

simplify204.0ms (3.1%)

Memory

-13.7MiB live, 254.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 400×	`lower-fma.f64`
9 400×	`lower-fma.f32`
5 418×	`lower-*.f64`
5 418×	`lower-*.f32`
2 342×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	9079
1	1561	8854
2	4758	8702
0	8602	8168

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 711

Calls

Call 1

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

Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ (* a c) (pow d 2))
(*.f64 (/.f64 (/.f64 c d) d) a)
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(fma.f64 (/.f64 (neg.f64 a) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 c d) d) a))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(fma.f64 (/.f64 a d) (/.f64 c d) (.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64))))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(fma.f64 (/.f64 a d) (/.f64 c d) (.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64))))))
(/ c (pow d 2))
(/.f64 (/.f64 c d) d)
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) d) (/.f64 (/.f64 c d) d))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (/.f64 c d) d))
(* c (+ (* (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))))
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (/.f64 c d) d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* -1 (/ (* a (pow d 2)) (pow c 3)))
(.f64 (neg.f64 d) (.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) a))
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3))
(/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (*.f64 c d) b)) (pow.f64 c #s(literal 3 binary64)))
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))
(/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (fma.f64 c a (*.f64 d b)) c)) (pow.f64 c #s(literal 3 binary64)))
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))
(/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (fma.f64 c a (*.f64 d b)) c)) (pow.f64 c #s(literal 3 binary64)))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(.f64 (/.f64 (neg.f64 a) c) (.f64 d (/.f64 d c)))
(/ (- (* b (* c d)) (* a (pow d 2))) (pow c 2))
(/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (.f64 c d) b)) (.f64 c c))
(/ (- (* c (- (* a c) (* -1 (* b d)))) (* a (pow d 2))) (pow c 2))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (fma.f64 c a (*.f64 d b)) c)) c) c)
(/ (- (* c (- (* a c) (* -1 (* b d)))) (* a (pow d 2))) (pow c 2))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 d) a) d (.f64 (fma.f64 c a (*.f64 d b)) c)) c) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) a) (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ (* a c) (pow d 2))
(*.f64 (/.f64 (/.f64 c d) d) a)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) a) (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) a) (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ a c)
(/.f64 a c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(*.f64 (neg.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (/.f64 a c))
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 a (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) a) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (-.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 (pow.f64 d #s(literal 4 binary64)) (/.f64 a (pow.f64 c #s(literal 4 binary64))) a)) (neg.f64 c))
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)) (neg.f64 c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (.f64 c c))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) a) (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c)) c)
a
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(- (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (* -1 (/ (* b d) c)))
(-.f64 a (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c))
(- (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (* -1 (/ (* b d) c)))
(-.f64 a (/.f64 (fma.f64 (.f64 d (/.f64 d c)) a (.f64 (neg.f64 d) b)) c))
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* a c) (pow d 2))
(*.f64 (/.f64 (/.f64 c d) d) a)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
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(.f64 (neg.f64 d) (.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) a))
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (/.f64 b c) c) d) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d) d)
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))
(.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d) d)
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))
(.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d) d)
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(.f64 (/.f64 (neg.f64 a) c) (.f64 d (/.f64 d c)))
(* (pow d 2) (- (/ b (* c d)) (/ a (pow c 2))))
(.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) (.f64 d d))
(* (pow d 2) (- (* -1 (/ (- (* -1 (/ a d)) (/ b c)) d)) (/ a (pow c 2))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) (/.f64 (/.f64 a c) c)) (.f64 d d))
(* (pow d 2) (- (* -1 (/ (- (* -1 (/ a d)) (/ b c)) d)) (/ a (pow c 2))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) (/.f64 (/.f64 a c) c)) (.f64 d d))
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 c) c) d) b (.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (.f64 c c) b (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)

rewrite186.0ms (2.9%)

Memory

39.3MiB live, 261.4MiB allocated

Rules

5 808×	`lower-fma.f32`
5 804×	`lower-fma.f64`
5 496×	`lower-/.f32`
5 480×	`lower-/.f64`
3 590×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	277
0	58	280
1	237	268
2	1890	268
0	8268	254

Stop Event

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

Counts

20 → 461

Calls

Call 1

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

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

eval374.0ms (5.8%)

Memory: -25.8MiB live, 196.0MiB allocated
Compiler: Compiled 18 109 to 2 030 computations (88.8% saved)

prune60.0ms (0.9%)

Memory

-0.1MiB live, 110.3MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	1 207	9	1 216
Fresh	4	9	13
Picked	1	4	5
Done	2	5	7
Total	1 214	27	1 241

Accuracy

99.9%

Counts

1 241 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	53.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
✓	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	53.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) a) c))
	39.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 d c) b) #s(literal 2 binary64)) (.f64 a a)) c) (fma.f64 (/.f64 d c) b (neg.f64 a))))
	19.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 c a) #s(approx (+ ( c c) (* d d)) (*.f64 d d))))
✓	24.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c))
	24.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 #s(literal 1 binary64) (/.f64 c (.f64 (.f64 d b) #s(literal 1 binary64))))) c))
	26.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (*.f64 b (/.f64 d c))) c))
	20.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)) d))
✓	44.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	44.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
✓	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
	37.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
✓	19.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
	28.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 c c))) a))
✓	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	21.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
	53.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d)))
✓	44.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
	19.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (/.f64 c d) d)) a))
	26.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( c c) (* d d))) (/.f64 (/.f64 b c) c)) d))
	18.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 c (/.f64 a #s(approx (+ ( c c) (* d d)) (*.f64 d d)))))
	20.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (.f64 (/.f64 d (.f64 c c)) b)))
	42.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))

Compiler

Compiled 805 to 446 computations (44.6% saved)

regimes79.0ms (1.2%)

Memory

-9.4MiB live, 111.4MiB allocated

Counts

47 → 4

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
16.0ms	c
14.0ms	a
13.0ms	d
13.0ms	b

Results

Accuracy	Segments	Branch
65.7%	3	`a`
68.0%	4	`b`
89.2%	4	`c`
81.9%	3	`d`
73.6%	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes11.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
87.3%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes24.0ms (0.4%)

Memory

-27.1MiB live, 11.4MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
85.8%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes9.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.4%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes16.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	c
7.0ms	d

Results

Accuracy	Segments	Branch
78.4%	3	`d`
78.6%	3	`c`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes27.0ms (0.4%)

Memory

-25.8MiB live, 16.4MiB allocated

Counts

25 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.9%	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
67.7%	4	`d`
71.3%	4	`c`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes9.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
69.5%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
40.6%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
40.6%	1	`a`
40.6%	1	`d`
40.6%	1	`b`
40.6%	1	`c`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch68.0ms (1%)

Memory

-1.5MiB live, 70.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	2.4742433945785975e+71	1.5808637911091188e+90
29.0ms	-1.3097188144601433e-90	-1.4542108920593398e-96
15.0ms	-3.0459346343037073e+136	-6.071629492638009e+129

Samples

33.0ms

448×

valid

Compiler

Compiled 630 to 576 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 15.0ms (70.8% of total)

ival-add: 4.0ms (18.9% of total)

ival-div: 3.0ms (14.2% of total)

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

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

bsearch17.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4742433945785975e+71	1.5808637911091188e+90
14.0ms	-5.5387832283382624e-5	-2.0833744715763125e-14

Samples

9.0ms

144×

valid

Compiler

Compiled 360 to 360 computations (0% saved)

Precisions

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

ival-mult: 4.0ms (70.8% of total)

ival-div: 1.0ms (17.7% of total)

ival-add: 1.0ms (17.7% of total)

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

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4742433945785975e+71	1.5808637911091188e+90
1.0ms	-5.5387832283382624e-5	-2.0833744715763125e-14

Compiler

Compiled 360 to 360 computations (0% saved)

bsearch18.0ms (0.3%)

Memory

-32.7MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.4742433945785975e+71	1.5808637911091188e+90
1.0ms	-5.5387832283382624e-5	-2.0833744715763125e-14

Compiler

Compiled 360 to 360 computations (0% saved)

bsearch30.0ms (0.5%)

Memory

35.9MiB live, 35.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.395459610011249e-29	2.50488937948129e-20
13.0ms	-5.5387832283382624e-5	-2.0833744715763125e-14

Samples

17.0ms

272×

valid

Compiler

Compiled 252 to 306 computations (-21.4% saved)

Precisions

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

ival-mult: 7.0ms (65.3% of total)

ival-div: 2.0ms (18.7% of total)

ival-add: 2.0ms (18.7% of total)

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

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

bsearch30.0ms (0.5%)

Memory

-41.3MiB live, 9.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	4.393386554949551e+23	1.0667899960870756e+24
1.0ms	-5.5387832283382624e-5	-2.0833744715763125e-14
19.0ms	-3.0459346343037073e+136	-6.071629492638009e+129

Samples

10.0ms

160×

valid

Compiler

Compiled 328 to 394 computations (-20.1% saved)

Precisions

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

ival-mult: 4.0ms (64.2% of total)

ival-div: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

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

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

bsearch12.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.393386554949551e+23	1.0667899960870756e+24
10.0ms	-5.5387832283382624e-5	-2.0833744715763125e-14

Samples

6.0ms

96×

valid

Compiler

Compiled 130 to 214 computations (-64.6% saved)

Precisions

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

ival-mult: 2.0ms (50.3% of total)

ival-div: 1.0ms (25.2% of total)

ival-add: 1.0ms (25.2% of total)

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

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

simplify30.0ms (0.5%)

Memory

-3.7MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	585
1	78	585

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 c #s(literal -300000000000000013009672699266174654017598695052190995627123376141479412678997252558601588794846715676587177906715251140148034797568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))
(if (<=.f64 c #s(literal -700976274800963/18446744073709551616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -700976274800963/18446744073709551616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -700976274800963/18446744073709551616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -290142196707511/4835703278458516698824704 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 3122104327794287/22300745198530623141535718272648361505980416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -1499999999999999907440338710752956420971833074686499757816659798845610391601812645810120857985391132725870869993913692474228212760576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -290142196707511/4835703278458516698824704 binary64)) (/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 569999999999999995805696 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -7350268983256945/38685626227668133590597632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 569999999999999995805696 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
(if (<=.f64 c #s(literal -300000000000000013009672699266174654017598695052190995627123376141479412678997252558601588794846715676587177906715251140148034797568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))
(if (<=.f64 c #s(literal -300000000000000013009672699266174654017598695052190995627123376141479412678997252558601588794846715676587177906715251140148034797568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (+.f64 (.f64 d b) (.f64 a c)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))
(if (<=.f64 c #s(literal -700976274800963/18446744073709551616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -700976274800963/18446744073709551616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -700976274800963/18446744073709551616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 17999999999999999380751455539969826172766873272849060574191445336018386944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -290142196707511/4835703278458516698824704 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 3122104327794287/22300745198530623141535718272648361505980416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -1499999999999999907440338710752956420971833074686499757816659798845610391601812645810120857985391132725870869993913692474228212760576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -290142196707511/4835703278458516698824704 binary64)) (/.f64 (fma.f64 c a (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (if (<=.f64 c #s(literal 569999999999999995805696 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -7350268983256945/38685626227668133590597632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 569999999999999995805696 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

soundness629.0ms (9.7%)

Memory

5.3MiB live, 555.1MiB allocated

Rules

9 134×	`lower-fma.f64`
9 134×	`lower-fma.f32`
7 644×	`lower-fma.f64`
7 644×	`lower-fma.f32`
5 986×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1890	1394
3	5760	1392
0	8315	1262
0	36	254
0	57	254
1	192	254
2	1451	254
0	8316	248
0	509	10659
1	1671	10259
2	5229	10140
0	8351	9564

Stop Event

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

Compiler

Compiled 417 to 213 computations (48.9% saved)

preprocess78.0ms (1.2%)

Memory: 0.8MiB live, 120.8MiB allocated
Compiler: Compiled 598 to 194 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	30	203
0	45	203
1	64	203
2	77	199
3	88	199
4	137	199
5	182	199
6	287	199
7	341	199
8	373	199
9	399	199
10	463	197
11	531	197
12	589	197
13	614	197
0	614	190

Iter	Nodes	Cost
0	30	203
0	45	203
1	64	203
2	77	199
3	88	199
4	137	199
5	182	199
6	287	199
7	341	199
8	373	199
9	399	199
10	463	197
11	531	197
12	589	197
13	614	197
0	614	190

start0.0ms (0%)

analyze26.0ms (0.4%)

sample832.0ms (12.8%)

explain117.0ms (1.8%)

preprocess325.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize25.0ms (0.4%)

series19.0ms (0.3%)

simplify127.0ms (2%)

rewrite401.0ms (6.2%)

eval52.0ms (0.8%)

prune40.0ms (0.6%)

simplify228.0ms (3.5%)

localize99.0ms (1.5%)

series125.0ms (1.9%)

simplify191.0ms (2.9%)

rewrite198.0ms (3.1%)

eval203.0ms (3.1%)

prune95.0ms (1.5%)

simplify22.0ms (0.3%)

localize79.0ms (1.2%)

series54.0ms (0.8%)

simplify186.0ms (2.9%)

rewrite184.0ms (2.8%)

eval399.0ms (6.1%)

prune54.0ms (0.8%)

simplify307.0ms (4.7%)

localize105.0ms (1.6%)

series75.0ms (1.1%)

simplify204.0ms (3.1%)

rewrite186.0ms (2.9%)

eval374.0ms (5.8%)

prune60.0ms (0.9%)

regimes79.0ms (1.2%)

regimes11.0ms (0.2%)

regimes24.0ms (0.4%)

regimes9.0ms (0.1%)

regimes16.0ms (0.3%)

regimes27.0ms (0.4%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch68.0ms (1%)

bsearch17.0ms (0.3%)

bsearch2.0ms (0%)

bsearch18.0ms (0.3%)

bsearch30.0ms (0.5%)

bsearch30.0ms (0.5%)

bsearch12.0ms (0.2%)

simplify30.0ms (0.5%)

soundness629.0ms (9.7%)

preprocess78.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	203
0	45	203
1	64	203
2	77	199
3	88	199
4	137	199
5	182	199
6	287	199
7	341	199
8	373	199
9	399	199
10	463	197
11	531	197
12	589	197
13	614	197
0	614	190