Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.7%)

Memory

2.3MiB live, 41.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (16%)

Memory

9.0MiB live, 1 101.7MiB allocated

Samples

645.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 401.0ms

ival-mult: 215.0ms (53.7% of total)

ival-add: 126.0ms (31.4% of total)

ival-div: 50.0ms (12.5% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain130.0ms (1.9%)

Memory

35.8MiB live, 196.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
108	1	(3.4071291827375946e+259 9.742864527389706e-281 -4.336474385877508e-206 -2.682700985230262e+188)	3	(-1.4227064340123293e-211 -1.3996903602825062e-123 -4.564367976471121e-148 9.019373610257183e-193)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
3	0	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	0	-	0	-	`a`
0	0	-	0	-	`d`
0	0	-	0	-	`(*.f64 d d)`
0	0	-	0	-	`(*.f64 c c)`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	47	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	62
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	30
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	111
↳	`(*.f64 c c)`	overflow	57
↳	`(*.f64 d d)`	overflow	69
`/.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	111
↳	`(*.f64 c c)`	overflow	57
↳	`(*.f64 d d)`	overflow	69
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	15	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	62
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	30
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	5	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	5
↳	`(*.f64 a c)`	underflow	34
↳	`(*.f64 b d)`	underflow	31
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	18
↳	`(*.f64 c c)`	underflow	67
↳	`(*.f64 d d)`	underflow	72
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	4	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	18
↳	`(*.f64 c c)`	underflow	67
↳	`(*.f64 d d)`	underflow	72
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	3	0
↳	`(*.f64 a c)`	overflow	36
↳	`(*.f64 b d)`	overflow	30

Confusion

	Predicted +	Predicted -
+	105	3
-	1	147

Precision

0.9905660377358491

Recall

0.9722222222222222

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	3
-	1	0	147

Precision?

0.9905660377358491

Recall?

0.9722222222222222

Freqs

test

number	freq
0	150
1	103
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (44.8% of total)

ival-add: 12.0ms (41.4% of total)

ival-div: 3.0ms (10.3% of total)

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

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

preprocess331.0ms (5%)

Memory

-32.5MiB live, 52.6MiB 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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)

localize28.0ms (0.4%)

Memory

0.4MiB live, 39.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a c)
accuracy	0.00390625	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.6562479358302058	(+.f64 (.f64 a c) (.f64 b d))
accuracy	25.417349305923917	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

21.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (68.8% of total)

ival-div: 2.0ms (17.2% of total)

ival-add: 2.0ms (17.2% of total)

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

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

series17.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

4 → 144

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>) () ())

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

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))
1.0ms	c	@	inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms	b	@	inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms	c	@	0	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms	c	@	-inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))

simplify365.0ms (5.5%)

Memory

-19.9MiB live, 95.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1356
1	618	1346
2	1890	1322
3	5760	1320
0	8315	1190

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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 (/ (* 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)
(* -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)
(+ (* 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)
(* 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)
(* -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)

rewrite187.0ms (2.8%)

Memory

9.1MiB live, 133.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28

Stop Event

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

Counts

4 → 339

Calls

Call 1

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

Outputs
#<batchref>
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eval74.0ms (1.1%)

Memory: -6.5MiB live, 65.8MiB allocated
Compiler: Compiled 12 761 to 1 055 computations (91.7% saved)

prune29.0ms (0.4%)

Memory

-10.2MiB live, 29.4MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	470	13	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	471	13	484

Accuracy

99.6%

Counts

484 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
	35.8%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	33.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	20.1%	(/.f64 (.f64 (.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d b (*.f64 c a))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))
	56.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
	48.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	59.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	50.5%	#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))
▶	43.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
	46.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	37.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	40.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c))

Compiler

Compiled 308 to 250 computations (18.8% saved)

simplify240.0ms (3.6%)

Memory

9.8MiB live, 94.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	270
0	58	265
1	79	265
2	111	255
3	178	255
4	473	255
5	1642	255
6	4263	255
7	5508	255
8	5864	255
9	6034	255
10	6112	255
11	6158	255
12	6192	255
13	6359	255
14	6490	255
15	6574	255
16	6574	255
17	7613	255
0	8090	252

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.4%)

Memory

-1.4MiB live, 120.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.590982705094903	(/.f64 (.f64 (.f64 d d) a) c)
accuracy	5.421768818823455	(/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)
accuracy	9.97772511774109	(.f64 (.f64 d d) a)
accuracy	33.50635139812637	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
accuracy	0	(*.f64 a c)
accuracy	0.6562479358302058	(+.f64 (.f64 a c) (.f64 b d))
accuracy	25.417349305923917	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	28.6908391511934	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0.00390625	(fma.f64 c c (*.f64 d d))
accuracy	7.47833168576061	(/.f64 b (fma.f64 c c (*.f64 d d)))
accuracy	12.153883490513389	(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
accuracy	27.55758144622765	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
accuracy	0	(/.f64 a c)
accuracy	38.045475274684726	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(*.f64 c c)
accuracy	0	(*.f64 c a)
accuracy	0.5039007452111204	(fma.f64 d b (*.f64 c a))
accuracy	25.417349305923917	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))

Samples

60.0ms

256×

valid

Compiler

Compiled 247 to 29 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 14.0ms (39.1% of total)

ival-mult: 14.0ms (39.1% of total)

ival-add: 5.0ms (14% of total)

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

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

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

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

series128.0ms (1.9%)

Memory

13.6MiB live, 51.1MiB allocated

Counts

23 → 840

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
66.0ms	d	@	-inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* c c) (+ (* c c) (* d d)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))
6.0ms	b	@	0	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* c c) (+ (* c c) (* d d)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))
4.0ms	a	@	-inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* c c) (+ (* c c) (* d d)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))
3.0ms	d	@	inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* c c) (+ (* c c) (* d d)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))
3.0ms	c	@	inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (neg b) d) (/ (* (* d d) a) c)) (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (* c c) (+ (* c c) (* d d)) (* (* d d) a) (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c) (/ (* (* d d) a) c))

simplify182.0ms (2.7%)

Memory

19.8MiB live, 169.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	10377
1	1546	9977
2	4783	9858
0	8429	9276

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 837

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

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

rewrite203.0ms (3%)

Memory

5.8MiB live, 195.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	242
0	58	237
1	208	237
2	1521	237
0	8301	237

Stop Event

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

Counts

23 → 795

Calls

Call 1

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

Outputs
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eval236.0ms (3.5%)

Memory: 13.5MiB live, 319.2MiB allocated
Compiler: Compiled 37 809 to 3 381 computations (91.1% saved)

prune57.0ms (0.9%)

Memory

-1.5MiB live, 120.0MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 637	15	1 652
Fresh	6	2	8
Picked	3	2	5
Done	0	0	0
Total	1 646	19	1 665

Accuracy

99.6%

Counts

1 665 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
	41.0%	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) (fma.f64 d d (.f64 c c)))
▶	16.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	27.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	51.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
▶	59.8%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
▶	48.5%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
▶	46.0%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
▶	44.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
	59.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	13.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (.f64 a (.f64 c (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c))))) (.f64 c #s(literal 1 binary64))) (.f64 c (.f64 c (/.f64 c (fma.f64 (neg.f64 b) d (/.f64 (.f64 (*.f64 d d) a) c)))))))
	50.5%	#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))
	17.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c))
✓	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	40.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
✓	37.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	29.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
	16.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
	17.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 (/.f64 d c) c) b)))

Compiler

Compiled 401 to 333 computations (17% saved)

simplify5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	222
0	51	218
1	64	218
2	70	218
3	73	218
0	73	212

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize119.0ms (1.8%)

Memory

-69.8MiB live, 96.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 b c)
accuracy	0.5243457700437499	(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy	2.246920843840804	(fma.f64 (/.f64 b c) d a)
accuracy	32.449354412095865	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
accuracy	0.00390625	(fma.f64 c c (*.f64 d d))
accuracy	3.1068503289015044	(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
accuracy	18.059224207304847	(/.f64 c (fma.f64 c c (*.f64 d d)))
accuracy	25.963572501826274	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
accuracy	0	(*.f64 c c)
accuracy	25.417349305923917	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
accuracy	28.6908391511934	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	31.252385821298507	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	0	(/.f64 b d)
accuracy	34.54707417966051	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
accuracy	0	(/.f64 c d)
accuracy	0.2785273893487112	(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy	2.2904891324729135	(fma.f64 (/.f64 c d) a b)
accuracy	25.560332259263408	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))

Samples

68.0ms

256×

valid

Compiler

Compiled 184 to 29 computations (84.2% saved)

Precisions

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

ival-mult: 17.0ms (46.3% of total)

ival-div: 13.0ms (35.4% of total)

ival-add: 6.0ms (16.3% of total)

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

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

series119.0ms (1.8%)

Memory

20.3MiB live, 96.3MiB allocated

Counts

19 → 696

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
65.0ms	a	@	inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* c c))
8.0ms	c	@	inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* c c))
3.0ms	c	@	-inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* c c))
3.0ms	d	@	-inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* c c))
3.0ms	a	@	-inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* c c))

simplify333.0ms (5%)

Memory

-23.6MiB live, 139.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	8200
1	1468	8090
2	4498	7938
0	8154	7354

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 684

Calls

Call 1

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

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

rewrite200.0ms (3%)

Memory

1.7MiB live, 153.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	203
0	51	199
1	195	199
2	1330	199
0	8254	193

Stop Event

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

Counts

19 → 437

Calls

Call 1

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

Outputs
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eval161.0ms (2.4%)

Memory: 30.0MiB live, 181.6MiB allocated
Compiler: Compiled 18 192 to 2 055 computations (88.7% saved)

prune86.0ms (1.3%)

Memory

-39.4MiB live, 98.6MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 111	10	1 121
Fresh	7	5	12
Picked	2	3	5
Done	0	2	2
Total	1 120	20	1 140

Accuracy

99.8%

Counts

1 140 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
▶	41.0%	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) (fma.f64 d d (.f64 c c)))
✓	16.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	51.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
✓	48.5%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	59.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	23.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
✓	46.0%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
	45.9%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
▶	21.8%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
▶	59.7%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d)))
	45.9%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
	24.5%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (/.f64 c d) d)) a))
	21.7%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) a))
▶	40.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
▶	17.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
✓	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	40.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
✓	37.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
	16.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))

Compiler

Compiled 317 to 312 computations (1.6% saved)

simplify261.0ms (3.9%)

Memory

26.6MiB live, 96.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	311
0	62	304
1	92	302
2	144	298
3	331	298
4	754	298
5	1724	298
6	3252	298
7	4134	298
8	4792	298
9	5136	298
10	5217	298
11	5253	298
12	5281	298
13	5287	298
14	5344	298
15	5368	298
16	5368	298
17	5508	298
18	5830	298
19	5898	298
20	5898	298
21	5898	298
22	5898	298
0	5898	290

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (1.5%)

Memory

9.8MiB live, 136.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 c c)
accuracy	0	(*.f64 c a)
accuracy	25.417349305923917	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) (fma.f64 d d (.f64 c c)))
accuracy	29.437507930088312	#s(approx (+ (* d b) (* c a)) (*.f64 c a))
accuracy	0.13671875	(/.f64 (/.f64 b c) c)
accuracy	5.076204758798967	(*.f64 (/.f64 (/.f64 b c) c) d)
accuracy	27.024674012330262	#s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))
accuracy	32.449354412095865	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
accuracy	3.1068503289015044	(.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a)
accuracy	18.059224207304847	(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy	25.080750380294756	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	25.963572501826274	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
accuracy	0	(/.f64 #s(literal 1 binary64) c)
accuracy	3.1068503289015044	(.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a)
accuracy	25.963572501826274	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
accuracy	33.59308061967269	#s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c))
accuracy	0	(neg.f64 (fma.f64 (/.f64 c d) a b))
accuracy	0.3839961393487112	(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d))
accuracy	2.2904891324729135	(fma.f64 (/.f64 c d) a b)
accuracy	25.560332259263408	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d)))

Samples

81.0ms

256×

valid

Compiler

Compiled 224 to 31 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 29.0ms (53.1% of total)

ival-mult: 14.0ms (25.6% of total)

ival-add: 10.0ms (18.3% of total)

ival-neg: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series77.0ms (1.1%)

Memory

-21.6MiB live, 90.7MiB allocated

Counts

21 → 756

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	c	@	-inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c))
3.0ms	b	@	-inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c))
2.0ms	a	@	-inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c))
2.0ms	d	@	-inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c))
2.0ms	b	@	inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c))

simplify172.0ms (2.6%)

Memory

12.7MiB live, 242.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	9470
1	1435	9320
2	4385	8972
0	8131	8386

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 750

Calls

Call 1

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

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

rewrite297.0ms (4.4%)

Memory

4.1MiB live, 97.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	282
0	62	275
1	211	273
2	1430	269
0	8268	261

Stop Event

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

Counts

21 → 439

Calls

Call 1

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

Outputs
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eval142.0ms (2.1%)

Memory: 18.8MiB live, 212.6MiB allocated
Compiler: Compiled 19 199 to 2 063 computations (89.3% saved)

prune107.0ms (1.6%)

Memory

-1.9MiB live, 84.1MiB allocated

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	1 185	4	1 189
Fresh	1	9	10
Picked	1	4	5
Done	0	5	5
Total	1 187	22	1 209

Accuracy

99.8%

Counts

1 209 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
✓	41.0%	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) (fma.f64 d d (.f64 c c)))
	21.6%	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
✓	16.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	51.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
✓	48.5%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	59.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	23.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
✓	46.0%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
	45.9%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
✓	21.8%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
	45.9%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
	24.5%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (/.f64 c d) d)) a))
	21.7%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) a))
✓	40.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
	26.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (neg (+ ( (/ c d) a) b)) (*.f64 (neg.f64 c) (/.f64 a d))) (/.f64 #s(literal -1 binary64) d)))
✓	17.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
	17.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (.f64 (/.f64 d (.f64 c c)) b)))
	18.5%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
✓	40.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	40.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
✓	37.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))

Compiler

Compiled 661 to 358 computations (45.8% saved)

regimes69.0ms (1%)

Memory

0.6MiB live, 107.8MiB allocated

Counts

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

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

Calls

5 calls:

15.0ms	c
12.0ms	b
12.0ms	a
12.0ms	d
11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
65.4%	3	`a`
69.1%	3	`b`
81.7%	3	`c`
86.4%	4	`d`
77.4%	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes19.0ms (0.3%)

Memory

-36.9MiB live, 14.0MiB allocated

Counts

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
85.8%	4	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes11.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

33 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (.f64 (/.f64 d (.f64 c c)) b)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 (/.f64 d c) c) b)))
#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 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (/.f64 c d) d)) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 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 (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
83.4%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes17.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

26 → 3

Calls

Call 1

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

8.0ms	d
8.0ms	c

Results

Accuracy	Segments	Branch
77.9%	3	`c`
78.6%	3	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes23.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (.f64 (/.f64 d (.f64 c c)) b)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d))) a))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) c) (*.f64 (/.f64 (/.f64 d c) c) b)))
#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 #s(approx (- a (/ (+ (* (neg b) d) (/ (* (* d d) a) c)) c)) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 (/.f64 c d) d)) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 c a)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.2%	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
68.9%	3	`c`
69.5%	3	`d`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes11.0ms (0.2%)

Memory

-31.6MiB live, 6.8MiB allocated

Counts

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

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:

10.0ms

Results

Accuracy	Segments	Branch
69.4%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch51.0ms (0.8%)

Memory

21.3MiB live, 57.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	7.173515470208696e+104	1.4961287682197967e+109
18.0ms	3.1824776724416996e-136	1.2610990892990337e-129
15.0ms	-3.3345096063051595e-71	-9.73097499722134e-78

Samples

31.0ms

416×

valid

Compiler

Compiled 716 to 593 computations (17.2% saved)

Precisions

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

ival-mult: 10.0ms (59.1% of total)

ival-div: 3.0ms (17.7% of total)

ival-add: 3.0ms (17.7% of total)

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

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

bsearch21.0ms (0.3%)

Memory

-0.8MiB live, 34.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	7.173515470208696e+104	1.4961287682197967e+109
17.0ms	3.1824776724416996e-136	1.2610990892990337e-129
1.0ms	-3.3345096063051595e-71	-9.73097499722134e-78

Samples

12.0ms

128×

valid

Compiler

Compiled 554 to 503 computations (9.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (45.1% of total)

ival-mult: 3.0ms (33.8% of total)

ival-add: 1.0ms (11.3% of total)

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

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

bsearch20.0ms (0.3%)

Memory

-32.7MiB live, 17.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.032165052520358e-83	1.7922386526325935e-81
1.0ms	-3.3345096063051595e-71	-9.73097499722134e-78

Samples

13.0ms

112×

valid

Compiler

Compiled 306 to 306 computations (0% saved)

Precisions

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

ival-mult: 3.0ms (67.2% of total)

ival-div: 1.0ms (22.4% of total)

ival-add: 1.0ms (22.4% of total)

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

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

bsearch16.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.032165052520358e-83	1.7922386526325935e-81
6.0ms	-3.3345096063051595e-71	-9.73097499722134e-78

Samples

9.0ms

128×

valid

Compiler

Compiled 226 to 274 computations (-21.2% saved)

Precisions

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

ival-mult: 3.0ms (58.2% of total)

ival-div: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

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

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

bsearch9.0ms (0.1%)

Memory

-23.4MiB live, 14.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.032165052520358e-83	1.7922386526325935e-81
1.0ms	-3.3345096063051595e-71	-9.73097499722134e-78

Samples

5.0ms

48×

valid

Compiler

Compiled 164 to 260 computations (-58.5% saved)

Precisions

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

ival-div: 2.0ms (56.4% of total)

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

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

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

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

bsearch2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.032165052520358e-83	1.7922386526325935e-81
1.0ms	-3.3345096063051595e-71	-9.73097499722134e-78

Compiler

Compiled 146 to 242 computations (-65.8% saved)

simplify27.0ms (0.4%)

Memory

23.7MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	509
1	84	509
2	93	509
3	100	509
4	105	509
5	107	509

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 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 4495317912455029/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 2050000000000000115327538881548278752048331595781511805365424983534616321282107773788261428279245782646784 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (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)))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 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 7672009237256583/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 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 2050000000000000115327538881548278752048331595781511805365424983534616321282107773788261428279245782646784 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (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)))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 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 3631177961065547/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 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 -3232601036663613/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 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 2349585739513001/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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 -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) (if (<=.f64 d #s(literal 3161260813162947/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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 -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3161260813162947/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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 -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 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 4495317912455029/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 2050000000000000115327538881548278752048331595781511805365424983534616321282107773788261428279245782646784 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (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)))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 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 7672009237256583/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 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 2050000000000000115327538881548278752048331595781511805365424983534616321282107773788261428279245782646784 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (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)))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 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 3631177961065547/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 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 -3232601036663613/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 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 2349585739513001/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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 -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) (if (<=.f64 d #s(literal 3161260813162947/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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 -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3161260813162947/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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))

soundness728.0ms (10.9%)

Memory

-21.1MiB live, 546.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	10377
1	1546	9977
2	4783	9858
0	8429	9276
0	35	203
0	51	199
1	195	199
2	1330	199
0	8254	193
0	11	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28
0	186	1356
1	618	1346
2	1890	1322
3	5760	1320
0	8315	1190

Stop Event

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

Compiler

Compiled 465 to 203 computations (56.3% saved)

preprocess59.0ms (0.9%)

Memory: 15.7MiB live, 94.2MiB allocated
Compiler: Compiled 550 to 186 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (0.7%)

sample1.1s (16%)

explain130.0ms (1.9%)

preprocess331.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize28.0ms (0.4%)

series17.0ms (0.2%)

simplify365.0ms (5.5%)

rewrite187.0ms (2.8%)

eval74.0ms (1.1%)

prune29.0ms (0.4%)

simplify240.0ms (3.6%)

localize96.0ms (1.4%)

series128.0ms (1.9%)

simplify182.0ms (2.7%)

rewrite203.0ms (3%)

eval236.0ms (3.5%)

prune57.0ms (0.9%)

simplify5.0ms (0.1%)

localize119.0ms (1.8%)

series119.0ms (1.8%)

simplify333.0ms (5%)

rewrite200.0ms (3%)

eval161.0ms (2.4%)

prune86.0ms (1.3%)

simplify261.0ms (3.9%)

localize100.0ms (1.5%)

series77.0ms (1.1%)

simplify172.0ms (2.6%)

rewrite297.0ms (4.4%)

eval142.0ms (2.1%)

prune107.0ms (1.6%)

regimes69.0ms (1%)

regimes19.0ms (0.3%)

regimes11.0ms (0.2%)

regimes17.0ms (0.3%)

regimes23.0ms (0.3%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch51.0ms (0.8%)

bsearch21.0ms (0.3%)

bsearch20.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch2.0ms (0%)

simplify27.0ms (0.4%)

soundness728.0ms (10.9%)

preprocess59.0ms (0.9%)

end0.0ms (0%)

Profiling