Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze27.0ms (0.4%)

Memory

10.9MiB live, 49.7MiB 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)

sample921.0ms (14.5%)

Memory

0.9MiB live, 1 370.9MiB allocated

Samples

614.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-mult: 240.0ms (63% of total)

ival-add: 76.0ms (19.9% of total)

ival-div: 55.0ms (14.4% of total)

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

ival-assert: 4.0ms (1% of total)

Bogosity

explain130.0ms (2%)

Memory

4.6MiB live, 182.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
106	-	1	(-1.0102605875037736e+63 -2.120793295706731e+71 1.898545072574149e-159 6.011526411411181e-238)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
2	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
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	55	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	66
↳	`(*.f64 a c)`	overflow	33
↳	`(*.f64 b d)`	overflow	40
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	126
↳	`(*.f64 c c)`	overflow	68
↳	`(*.f64 d d)`	overflow	72
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	35	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	126
↳	`(*.f64 c c)`	overflow	68
↳	`(*.f64 d d)`	overflow	72
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	11	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	66
↳	`(*.f64 a c)`	overflow	33
↳	`(*.f64 b d)`	overflow	40
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	2	0
↳	`(*.f64 a c)`	overflow	33
↳	`(*.f64 b d)`	overflow	40
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	2	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	9
↳	`(*.f64 c c)`	underflow	53
↳	`(*.f64 d d)`	underflow	59
`/.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	21
↳	`(*.f64 b d)`	underflow	26
`/.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	21
↳	`(*.f64 b d)`	underflow	26
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	9
↳	`(*.f64 c c)`	underflow	53
↳	`(*.f64 d d)`	underflow	59

Confusion

	Predicted +	Predicted -
+	105	1
-	0	150

Precision

1.0

Recall

0.9905660377358491

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	1
-	0	0	150

Precision?

1.0

Recall?

0.9905660377358491

Freqs

test

number	freq
0	151
1	103
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 14.0ms (61.8% of total)

ival-add: 4.0ms (17.7% of total)

ival-div: 3.0ms (13.2% of total)

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

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

preprocess334.0ms (5.3%)

Memory

-14.1MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.1%	(/.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

2.7MiB live, 2.7MiB 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))

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)

localize29.0ms (0.5%)

Memory

-9.5MiB live, 29.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b d)
accuracy	0	(*.f64 a c)
accuracy	0.46093543583020585	(+.f64 (.f64 a c) (.f64 b d))
accuracy	25.317591130511083	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

20.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

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

ival-mult: 7.0ms (64.8% of total)

ival-div: 2.0ms (18.5% of total)

ival-add: 2.0ms (18.5% of total)

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

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

series18.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB 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>) () ())) ())
#s(alt (* a c) (taylor 0 b) (#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 b) (#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 b) (#s(alt (+.f64 (.f64 a c) (.f64 b d)) (patch (+.f64 (.f64 a c) (.f64 b d)) #<representation binary64>) () ())) ())
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#s(alt (* b d) (taylor -inf b) (#s(alt (.f64 b d) (patch (.f64 b d) #<representation binary64>) () ())) ())
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#s(alt (* a c) (taylor 0 a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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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
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	b	@	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))

simplify332.0ms (5.2%)

Memory

-19.4MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite158.0ms (2.5%)

Memory

27.3MiB live, 100.9MiB allocated

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
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eval78.0ms (1.2%)

Memory: 0.2MiB live, 80.4MiB allocated
Compiler: Compiled 13 262 to 1 077 computations (91.9% saved)

prune16.0ms (0.3%)

Memory

4.0MiB live, 41.8MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	502	12	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	503	12	515

Accuracy

99.7%

Counts

515 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	59.8%	(/.f64 (.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 (.f64 c c) (*.f64 d d)))
▶	35.9%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))
	52.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
▶	55.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	47.5%	#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))
	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	36.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
▶	42.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c))

Compiler

Compiled 296 to 230 computations (22.3% saved)

simplify15.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	220
0	51	215
1	70	215
2	85	213
3	118	213
4	171	213
5	207	213
6	257	213
7	292	213
8	333	213
9	399	213
10	477	213
11	511	213
0	511	213

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (1.1%)

Memory

8.1MiB live, 46.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 d b)
accuracy	0	(*.f64 c c)
accuracy	25.317591130511083	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
accuracy	31.262162748919213	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	0	(/.f64 a d)
accuracy	0.7760891799154749	(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy	3.1617976352436385	(fma.f64 (/.f64 a d) c b)
accuracy	27.86826333978571	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
accuracy	0	(*.f64 d d)
accuracy	8.740509568979599	(/.f64 a (fma.f64 c c (*.f64 d d)))
accuracy	8.806628597905485	(.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)
accuracy	24.525204825096605	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c))
accuracy	0	(/.f64 a c)
accuracy	35.28608117268029	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(*.f64 c a)
accuracy	0.2578097476055602	(fma.f64 d b (*.f64 c a))
accuracy	0.45597056563977373	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))))
accuracy	25.048997750211573	(/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))

Samples

47.0ms

256×

valid

Compiler

Compiled 372 to 53 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 13.0ms (42.7% of total)

ival-div: 12.0ms (39.4% of total)

ival-add: 5.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (1%)

Memory

-16.9MiB live, 64.9MiB allocated

Counts

21 → 744

Calls

Call 1

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

Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (/ d b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) (patch (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (.f64 c c)) (patch (fma.f64 d d (.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c 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 a (fma.f64 c c (.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) 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 (/.f64 a (fma.f64 c c (.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) 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 (/.f64 a (fma.f64 c c (.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) 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 (/.f64 a (fma.f64 c c (.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) (patch (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) (patch (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) #<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 a (fma.f64 c c (.f64 d d))) c) (patch (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) #<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 a (fma.f64 c c (.f64 d d))) c) (patch (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) #<representation binary64>) () ())) ())
#s(alt (/ a (pow d 2)) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 c c (.f64 d d))) (patch (/.f64 a (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 c c (.f64 d d))) (patch (/.f64 a (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 c c (.f64 d d))) (patch (/.f64 a (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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 a (fma.f64 c c (.f64 d d))) (patch (/.f64 a (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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<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>) () ())) ())
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#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))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) (patch (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) (patch (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) #<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 a (fma.f64 c c (.f64 d d))) c) (patch (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) #<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 a (fma.f64 c c (.f64 d d))) c) (patch (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c) #<representation binary64>) () ())) ())
#s(alt (/ a (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 c c (.f64 d d))) (patch (/.f64 a (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 c c (.f64 d d))) (patch (/.f64 a (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 c c (.f64 d d))) (patch (/.f64 a (fma.f64 c c (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 c c (.f64 d d))) (patch (/.f64 a (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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<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 (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 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) (+.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 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) (+.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 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) (+.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 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 d b) (patch (.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 d b) (patch (.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 d b) (patch (.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (.f64 d b) (patch (.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (.f64 c a)) (patch (fma.f64 d b (.f64 c a)) #<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
6.0ms	c	@	inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (* c a) (* d d))
6.0ms	a	@	0	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (* c a) (* d d))
4.0ms	a	@	-inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (* c a) (* d d))
3.0ms	a	@	inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (* c a) (* d d))
3.0ms	c	@	-inf	((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (* c a) (* d d))

simplify231.0ms (3.6%)

Memory

-9.9MiB live, 182.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	678	10138
1	2289	9887
0	8167	9188

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 738

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

rewrite147.0ms (2.3%)

Memory

25.1MiB live, 145.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	197
0	51	190
1	195	190
2	1246	190
0	8303	190

Stop Event

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

Counts

21 → 1 110

Calls

Call 1

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

Outputs
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eval555.0ms (8.7%)

Memory: -103.2MiB live, 280.7MiB allocated
Compiler: Compiled 45 230 to 3 914 computations (91.3% saved)

prune64.0ms (1%)

Memory

4.4MiB live, 125.0MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 869	15	1 884
Fresh	2	5	7
Picked	3	2	5
Done	0	0	0
Total	1 874	22	1 896

Accuracy

100.0%

Counts

1 896 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	35.9%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c c)))
▶	19.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	28.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (.f64 (/.f64 c d) (/.f64 (fma.f64 c c (.f64 d d)) d)) (fma.f64 c (/.f64 c d) d)) b)))
	52.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
	49.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c)))
▶	56.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
✓	55.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
▶	22.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
	47.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)) d))
▶	42.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a)))
▶	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	52.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (fma.f64 (/.f64 b (fma.f64 c c (.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a))
	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
	36.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	20.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( c c) (* d d)) (*.f64 d d))) c))
	44.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
	19.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ a (+ ( c c) (* d d))) (/.f64 (/.f64 (fma.f64 (neg.f64 a) (.f64 c (/.f64 c (.f64 d d))) a) d) d)) c))
	36.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ a (+ ( c c) (* d d))) (/.f64 (/.f64 a c) c)) c))
	21.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))

Compiler

Compiled 483 to 402 computations (16.8% saved)

simplify6.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	243
0	50	240
1	62	240
2	64	240
3	66	240
4	67	240
0	67	234

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

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

localize72.0ms (1.1%)

Memory

-37.7MiB live, 90.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 d d)
accuracy	8.325416706818446	(/.f64 (fma.f64 c c (*.f64 d d)) a)
accuracy	9.292912078767836	(/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
accuracy	24.525204825096605	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a)))
accuracy	0.7760891799154749	(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)
accuracy	5.356823468317679	(/.f64 (*.f64 c a) d)
accuracy	27.86826333978571	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
accuracy	30.434919334587903	#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d))
accuracy	0	(*.f64 c c)
accuracy	25.317591130511083	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
accuracy	27.777452056816365	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	31.262162748919213	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	0	(/.f64 b d)
accuracy	36.76655941025121	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0	(/.f64 c d)
accuracy	0.7760891799154749	(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy	2.8479023190421167	(fma.f64 (/.f64 c d) a b)
accuracy	27.86826333978571	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))

Samples

47.0ms

256×

valid

Compiler

Compiled 328 to 52 computations (84.1% saved)

Precisions

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

ival-div: 14.0ms (45% of total)

ival-mult: 13.0ms (41.8% of total)

ival-add: 4.0ms (12.9% of total)

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

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

series43.0ms (0.7%)

Memory

25.8MiB live, 63.6MiB allocated

Counts

20 → 732

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 #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(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())
#s(alt (.f64 d b) (patch (.f64 d b) #<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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))) #<representation binary64>) () ())
#s(alt (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<representation binary64>) () ())
#s(alt (fma.f64 c c (.f64 d d)) (patch (fma.f64 c c (.f64 d d)) #<representation binary64>) () ())
#s(alt (.f64 c c) (patch (.f64 c c) #<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 (/.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 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 (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) #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 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) #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 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) #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 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) (patch (/.f64 #s(approx (+ ( a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (.f64 d b)) (patch #s(approx (+ ( a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#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 (+ (pow c 2) (pow d 2)) (taylor 0 c) (#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 (+ (pow c 2) (pow d 2)) (taylor 0 c) (#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 (+ (pow c 2) (pow d 2)) (taylor 0 c) (#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 (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) 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 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) 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 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) 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 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d)) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (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 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (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 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (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 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (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 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (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 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (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 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) a) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow c 2) a) (/ (pow d 2) a)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow c 2) a) (/ (pow d 2) a)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow c 2) a) (/ (pow d 2) a)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<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 (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf 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 (/ (+ a (/ (* b d) c)) c) (taylor inf 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 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf 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 (/ (- (+ 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 #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 (/ (* a c) (pow d 2)) (taylor inf 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 (* c (+ (/ a (pow d 2)) (/ b (* c d)))) (taylor inf 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 (* c (+ (/ a (pow d 2)) (/ b (* c d)))) (taylor inf 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 (* c (+ (/ a (pow d 2)) (/ b (* c d)))) (taylor inf 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 (/ (* a c) d) (taylor inf c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a d) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (/ a d) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
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#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) d) (patch (/.f64 #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf d) (#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ a d) c) b) (/.f64 (.f64 c a) d)) (patch #s(approx (+ ( (/ a d) c) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (.f64 c a) d) (patch (/.f64 (.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))) #<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))) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))) #<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))) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))) #<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))) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a))) (patch #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (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 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (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 c (/.f64 (fma.f64 c c (.f64 d d)) a)) (patch (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) a) (taylor -inf d) (#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 c c (.f64 d d)) a) (patch (/.f64 (fma.f64 c c (.f64 d d)) a) #<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 (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
4.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (/ (+ (* c c) (* d d)) a)) (/ (+ (* c c) (* d d)) a) (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (/ (+ (* c c) (* d d)) a)) (/ (+ (* c c) (* d d)) a) (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (/ (+ (* c c) (* d d)) a)) (/ (+ (* c c) (* d d)) a) (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms	c	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (/ (+ (* c c) (* d d)) a)) (/ (+ (* c c) (* d d)) a) (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms	d	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (/ (+ (* c c) (* d d)) a)) (/ (+ (* c c) (* d d)) a) (+ (* c c) (* d d)) (* c c) (* d d))

simplify158.0ms (2.5%)

Memory

18.2MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	8322
1	1098	8228
2	3392	8094
0	8214	7484

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 720

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

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

rewrite213.0ms (3.3%)

Memory

2.3MiB live, 270.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	225
0	50	222
1	176	222
2	1054	222
0	8415	216

Stop Event

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

Counts

20 → 489

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

Outputs
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eval261.0ms (4.1%)

Memory: -29.6MiB live, 185.5MiB allocated
Compiler: Compiled 18 438 to 2 108 computations (88.6% saved)

prune57.0ms (0.9%)

Memory

-6.8MiB live, 115.1MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 201	8	1 209
Fresh	4	11	15
Picked	1	4	5
Done	1	1	2
Total	1 207	24	1 231

Accuracy

100.0%

Counts

1 231 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	35.9%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c c)))
✓	19.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	28.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (.f64 (/.f64 c d) (/.f64 (fma.f64 c c (.f64 d d)) d)) (fma.f64 c (/.f64 c d) d)) b)))
▶	49.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c)))
▶	52.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
✓	56.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d))
	47.7%	#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))
✓	22.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
	25.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d))
▶	25.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d))
	21.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) a)))
✓	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	52.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (fma.f64 (/.f64 b (fma.f64 c c (.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a))
	38.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
	36.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	20.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( c c) (* d d)) (*.f64 d d))) c))
	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
▶	44.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
	19.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ a (+ ( c c) (* d d))) (/.f64 (/.f64 (fma.f64 (neg.f64 a) (.f64 c (/.f64 c (.f64 d d))) a) d) d)) c))
▶	23.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a)))
	21.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))

Compiler

Compiled 503 to 424 computations (15.7% saved)

simplify191.0ms (3%)

Memory

17.9MiB live, 54.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	270
0	60	269
1	92	266
2	119	260
3	158	260
4	321	260
5	763	260
6	1625	260
7	2496	260
8	3460	260
9	4092	260
10	4414	260
11	4454	260
12	4477	260
13	4559	260
14	4620	260
15	4732	260
16	4780	260
17	4780	260
18	4780	260
19	4780	260
0	4780	245

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

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

localize106.0ms (1.7%)

Memory

11.1MiB live, 126.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 a c)
accuracy	0.09375	(/.f64 (/.f64 b c) c)
accuracy	7.080503607614312	(fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c))
accuracy	30.624128212051644	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c)))
accuracy	0.7760891799154749	(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)
accuracy	5.038427761242746	(*.f64 (/.f64 a d) c)
accuracy	27.86826333978571	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d))
accuracy	30.434919334587903	#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))
accuracy	0.15234375	(/.f64 (/.f64 c d) d)
accuracy	6.269729377667857	(*.f64 (/.f64 (/.f64 c d) d) a)
accuracy	25.31680015225453	#s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))
accuracy	27.86826333978571	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a)))
accuracy	0	(/.f64 #s(literal -1 binary64) c)
accuracy	0	(neg.f64 a)
accuracy	0.1875	(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))
accuracy	35.28608117268029	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
accuracy	0	(/.f64 d c)
accuracy	0.5504557785416573	(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy	3.064411206937795	(fma.f64 (/.f64 d c) b a)
accuracy	30.624128212051644	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))

Samples

76.0ms

256×

valid

Compiler

Compiled 350 to 64 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 19.0ms (44.6% of total)

ival-mult: 16.0ms (37.6% of total)

ival-add: 7.0ms (16.4% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (1.2%)

Memory

-28.6MiB live, 59.5MiB allocated

Counts

21 → 768

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (* (/ (/ c d) d) a) (/ (/ c d) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ a d) c) (+ (* (/ (/ b c) c) d) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ b c) c) (/ b c) (/ a c))
3.0ms	c	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (* (/ (/ c d) d) a) (/ (/ c d) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ a d) c) (+ (* (/ (/ b c) c) d) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ b c) c) (/ b c) (/ a c))
3.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (* (/ (/ c d) d) a) (/ (/ c d) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ a d) c) (+ (* (/ (/ b c) c) d) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ b c) c) (/ b c) (/ a c))
3.0ms	c	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (* (/ (/ c d) d) a) (/ (/ c d) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ a d) c) (+ (* (/ (/ b c) c) d) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ b c) c) (/ b c) (/ a c))
3.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (* (/ (/ c d) d) a) (/ (/ c d) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ a d) c) (+ (* (/ (/ b c) c) d) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ b c) c) (/ b c) (/ a c))

simplify180.0ms (2.8%)

Memory

-4.1MiB live, 195.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	8064
1	871	8014
2	2843	7888
3	7742	7888
0	8727	7360

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 756

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

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

rewrite324.0ms (5.1%)

Memory

13.6MiB live, 200.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	247
0	60	250
1	230	241
2	1577	241
0	8250	226

Stop Event

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

Counts

21 → 799

Calls

Call 1

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

Outputs
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eval237.0ms (3.7%)

Memory: 26.5MiB live, 265.4MiB allocated
Compiler: Compiled 23 747 to 3 097 computations (87% saved)

prune84.0ms (1.3%)

Memory

16.3MiB live, 127.4MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	1 547	8	1 555
Fresh	7	7	14
Picked	3	2	5
Done	0	5	5
Total	1 557	22	1 579

Accuracy

100.0%

Counts

1 579 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	35.9%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c c)))
✓	19.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	28.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (.f64 (/.f64 c d) (/.f64 (fma.f64 c c (.f64 d d)) d)) (fma.f64 c (/.f64 c d) d)) b)))
✓	52.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
✓	56.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
	52.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 d)) b a) c))
	51.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 c (/.f64 c (neg.f64 d))) b (.f64 c a)) d) b) d))
	19.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
	47.7%	#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))
✓	22.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
✓	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	52.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (fma.f64 (/.f64 d a) (/.f64 b (fma.f64 c c (.f64 d d))) (/.f64 c (fma.f64 c c (*.f64 d d)))) a))
	20.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( c c) (* d d)) (*.f64 d d))) c))
	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
✓	44.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
	19.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 d c) c) b)))
	21.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (.f64 a c) (.f64 d d))))
	23.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 a (*.f64 (/.f64 d c) d))))
	21.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (.f64 (/.f64 c (.f64 d d)) a)))
	25.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))

Compiler

Compiled 761 to 390 computations (48.8% saved)

regimes109.0ms (1.7%)

Memory

-51.8MiB live, 89.6MiB allocated

Counts

44 → 5

Calls

Call 1

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

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

Calls

5 calls:

44.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
26.0ms	a
13.0ms	d
12.0ms	b
12.0ms	c

Results

Accuracy	Segments	Branch
69.1%	4	`a`
67.7%	3	`b`
85.1%	5	`c`
90.1%	5	`d`
75.2%	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)

regimes13.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

40 → 5

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
89.8%	5	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes12.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

36 → 5

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
89.7%	5	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes11.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

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

Outputs

#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))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
83.7%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes12.0ms (0.2%)

Memory

-21.7MiB live, 15.3MiB allocated

Counts

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
83.3%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes22.0ms (0.3%)

Memory

-14.4MiB live, 27.0MiB 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 a) (/.f64 #s(literal -1 binary64) c)))
#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 d) c) b) d) (.f64 (/.f64 c (.f64 d d)) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (.f64 (/.f64 c (.f64 d d)) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (.f64 a c) (.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( c c) (* d d)) (*.f64 d d))) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 a (*.f64 (/.f64 d c) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 d c) c) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ a (+ ( c c) (* d d))) (/.f64 (/.f64 a c) c)) c))
#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 b (fma.f64 c c (.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 c (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 d d (.f64 c 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 (/.f64 a d) c 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 (fma.f64 (/.f64 a d) c b) d))

Calls

2 calls:

7.0ms	c
7.0ms	d

Results

Accuracy	Segments	Branch
75.3%	3	`c`
77.4%	3	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes24.0ms (0.4%)

Memory

5.8MiB live, 42.5MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.4%	4	`c`
54.3%	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
73.5%	4	`d`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
70.5%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
44.9%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
44.9%	1	`c`
44.9%	1	`a`
44.9%	1	`b`
44.9%	1	`d`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch90.0ms (1.4%)

Memory

-20.4MiB live, 101.2MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	4.507420376031708e+52	1.3683858261857529e+59
28.0ms	3.8560354233417116e-77	2.263542806001277e-67
13.0ms	-6.04114783162584e-57	-1.2399065370325207e-59
9.0ms	-1.1791373521016498e+117	-6.212071057275183e+116

Samples

45.0ms

496×

valid

Compiler

Compiled 914 to 688 computations (24.7% saved)

Precisions

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

ival-div: 14.0ms (44.6% of total)

ival-mult: 13.0ms (41.4% of total)

ival-add: 4.0ms (12.7% of total)

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

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

bsearch37.0ms (0.6%)

Memory

18.5MiB live, 55.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.293204186059339e+93	5.459535935685827e+98
17.0ms	3.8560354233417116e-77	2.263542806001277e-67
1.0ms	-6.04114783162584e-57	-1.2399065370325207e-59
1.0ms	-1.1791373521016498e+117	-6.212071057275183e+116

Samples

22.0ms

272×

valid

Compiler

Compiled 762 to 669 computations (12.2% saved)

Precisions

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

ival-mult: 7.0ms (61.1% of total)

ival-div: 2.0ms (17.5% of total)

ival-add: 2.0ms (17.5% of total)

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

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

bsearch39.0ms (0.6%)

Memory

-16.0MiB live, 21.6MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
34.0ms	7.364859328234033e+82	1.293204186059339e+93
1.0ms	3.8560354233417116e-77	2.263542806001277e-67
1.0ms	-6.04114783162584e-57	-1.2399065370325207e-59
0.0ms	-1.1791373521016498e+117	-6.212071057275183e+116

Samples

28.0ms

160×

valid

Compiler

Compiled 786 to 690 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 18.0ms (76.2% of total)

ival-mult: 4.0ms (16.9% of total)

ival-add: 1.0ms (4.2% of total)

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

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

bsearch34.0ms (0.5%)

Memory

0.1MiB live, 38.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.6286273990930013e+20	1.5587748025801423e+21
12.0ms	-6.04114783162584e-57	-1.2399065370325207e-59

Samples

23.0ms

208×

valid

Compiler

Compiled 270 to 270 computations (0% saved)

Precisions

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

ival-mult: 14.0ms (82.7% of total)

ival-add: 2.0ms (11.8% of total)

ival-div: 1.0ms (5.9% of total)

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

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

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6286273990930013e+20	1.5587748025801423e+21
1.0ms	-6.04114783162584e-57	-1.2399065370325207e-59

Compiler

Compiled 270 to 270 computations (0% saved)

bsearch21.0ms (0.3%)

Memory

-20.4MiB live, 24.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.8560354233417116e-77	2.263542806001277e-67
7.0ms	-6.04114783162584e-57	-1.2399065370325207e-59

Samples

9.0ms

128×

valid

Compiler

Compiled 252 to 306 computations (-21.4% saved)

Precisions

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

ival-mult: 3.0ms (55.1% of total)

ival-div: 1.0ms (18.4% of total)

ival-add: 1.0ms (18.4% of total)

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

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

bsearch25.0ms (0.4%)

Memory

33.2MiB live, 33.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.6286273990930013e+20	1.5587748025801423e+21
6.0ms	-6.04114783162584e-57	-1.2399065370325207e-59
15.0ms	-8.126387289898043e+132	-5.663282493064246e+124

Samples

13.0ms

192×

valid

Compiler

Compiled 321 to 391 computations (-21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.9% of total)

ival-add: 2.0ms (24.8% of total)

ival-div: 1.0ms (12.4% of total)

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

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

bsearch13.0ms (0.2%)

Memory

-12.2MiB live, 23.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6286273990930013e+20	1.5587748025801423e+21
11.0ms	-8.126387289898043e+132	-5.663282493064246e+124

Samples

5.0ms

80×

valid

Compiler

Compiled 138 to 228 computations (-65.2% saved)

Precisions

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

ival-mult: 2.0ms (61.3% of total)

ival-add: 1.0ms (30.6% of total)

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

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

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

simplify28.0ms (0.4%)

Memory

9.8MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	791
1	108	791

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7463162001623895/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (if (<=.f64 d #s(literal 6365737426045269/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 15499999999999999682248225127018693970547351205277859840 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (fma.f64 (/.f64 b (fma.f64 c c (.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (.f64 d d)))) a)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7463162001623895/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (if (<=.f64 d #s(literal 6029626489950079/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1759999999999999937393535590550332980705734241489923764829540270462888743336737945760974241792 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7463162001623895/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 6029626489950079/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 105999999999999995447121769008631691770212341012409051772083246176812804888764350464 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -1236792945344869/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal 1450000000000000000000 binary64)) #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))))
(if (<=.f64 d #s(literal -1236792945344869/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 1450000000000000000000 binary64)) #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))))
(if (<=.f64 d #s(literal -452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 5768949542353525/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))
(if (<=.f64 d #s(literal -180000000000000016537542150923784084643392395473784873467797301027047301048967180400844950344295254010622589839497394619678720 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8480865910936245/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)) (if (<=.f64 d #s(literal 1450000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -58000000000000004284966878509293437100879506635180891505986886371684187801426770781512695060002495864001057443940848029925376 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 1450000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
(if (<=.f64 d #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7463162001623895/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (if (<=.f64 d #s(literal 6365737426045269/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 15499999999999999682248225127018693970547351205277859840 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (fma.f64 (/.f64 b (fma.f64 c c (.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (.f64 d d)))) a)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7463162001623895/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) (if (<=.f64 d #s(literal 6029626489950079/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1759999999999999937393535590550332980705734241489923764829540270462888743336737945760974241792 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7463162001623895/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 6029626489950079/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 105999999999999995447121769008631691770212341012409051772083246176812804888764350464 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7463162001623895/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d #s(literal 6029626489950079/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 105999999999999995447121769008631691770212341012409051772083246176812804888764350464 binary64)) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -1236792945344869/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal 1450000000000000000000 binary64)) #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))))
(if (<=.f64 d #s(literal -1236792945344869/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 1450000000000000000000 binary64)) #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))))
(if (<=.f64 d #s(literal -452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 5768949542353525/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))
(if (<=.f64 d #s(literal -180000000000000016537542150923784084643392395473784873467797301027047301048967180400844950344295254010622589839497394619678720 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8480865910936245/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)) (if (<=.f64 d #s(literal 1450000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -58000000000000004284966878509293437100879506635180891505986886371684187801426770781512695060002495864001057443940848029925376 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 1450000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

soundness590.0ms (9.3%)

Memory

1.3MiB live, 399.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	35
1	58	35
2	435	35
3	5073	35
0	8760	31
0	186	1428
1	618	1418
2	1890	1394
3	5760	1392
0	8315	1262
0	678	10138
1	2289	9887
0	8167	9188

Stop Event

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

Compiler

Compiled 672 to 275 computations (59.1% saved)

preprocess74.0ms (1.2%)

Memory: -4.9MiB live, 110.5MiB allocated
Compiler: Compiled 874 to 244 computations (72.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	33	220
0	51	215
1	70	215
2	85	213
3	118	213
4	171	213
5	207	213
6	257	213
7	292	213
8	333	213
9	399	213
10	477	213
11	511	213
0	511	213

Iter	Nodes	Cost
0	33	220
0	51	215
1	70	215
2	85	213
3	118	213
4	171	213
5	207	213
6	257	213
7	292	213
8	333	213
9	399	213
10	477	213
11	511	213
0	511	213

start0.0ms (0%)

analyze27.0ms (0.4%)

sample921.0ms (14.5%)

explain130.0ms (2%)

preprocess334.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize29.0ms (0.5%)

series18.0ms (0.3%)

simplify332.0ms (5.2%)

rewrite158.0ms (2.5%)

eval78.0ms (1.2%)

prune16.0ms (0.3%)

simplify15.0ms (0.2%)

localize69.0ms (1.1%)

series63.0ms (1%)

simplify231.0ms (3.6%)

rewrite147.0ms (2.3%)

eval555.0ms (8.7%)

prune64.0ms (1%)

simplify6.0ms (0.1%)

localize72.0ms (1.1%)

series43.0ms (0.7%)

simplify158.0ms (2.5%)

rewrite213.0ms (3.3%)

eval261.0ms (4.1%)

prune57.0ms (0.9%)

simplify191.0ms (3%)

localize106.0ms (1.7%)

series75.0ms (1.2%)

simplify180.0ms (2.8%)

rewrite324.0ms (5.1%)

eval237.0ms (3.7%)

prune84.0ms (1.3%)

regimes109.0ms (1.7%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes12.0ms (0.2%)

regimes22.0ms (0.3%)

regimes24.0ms (0.4%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch90.0ms (1.4%)

bsearch37.0ms (0.6%)

bsearch39.0ms (0.6%)

bsearch34.0ms (0.5%)

bsearch2.0ms (0%)

bsearch21.0ms (0.3%)

bsearch25.0ms (0.4%)

bsearch13.0ms (0.2%)

simplify28.0ms (0.4%)

soundness590.0ms (9.3%)

preprocess74.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	33	220
0	51	215
1	70	215
2	85	213
3	118	213
4	171	213
5	207	213
6	257	213
7	292	213
8	333	213
9	399	213
10	477	213
11	511	213
0	511	213