Metrics for Complex division, imag part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.3%)

Memory

11.8MiB live, 51.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample844.0ms (11.2%)

Memory

6.5MiB live, 1 052.8MiB allocated

Samples

547.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-mult: 207.0ms (59.6% of total)

ival-div: 54.0ms (15.6% of total)

ival-add: 42.0ms (12.1% of total)

ival-sub: 35.0ms (10.1% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain120.0ms (1.6%)

Memory

21.3MiB live, 186.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
91	-	1	(3.546124967993896e-18 5.013122486704736e+55 2.3048112396571014e-198 -2.638445881083534e-161)	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`
2	-	0	-	`(-.f64 (.f64 b c) (.f64 a d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 b c)`
0	-	0	-	`c`
0	-	0	-	`(*.f64 a d)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	43	0
↳	`(*.f64 b c)`	overflow	24
↳	`(-.f64 (.f64 b c) (.f64 a d))`	overflow	52
↳	`(*.f64 a d)`	overflow	30
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	120
↳	`(*.f64 c c)`	overflow	63
↳	`(*.f64 d d)`	overflow	74
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	31	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	120
↳	`(*.f64 c c)`	overflow	63
↳	`(*.f64 d d)`	overflow	74
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	9	0
↳	`(*.f64 b c)`	overflow	24
↳	`(-.f64 (.f64 b c) (.f64 a d))`	overflow	52
↳	`(*.f64 a d)`	overflow	30
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	5	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	11
↳	`(*.f64 c c)`	underflow	54
↳	`(*.f64 d d)`	underflow	58
`-.f64`	`(-.f64 (.f64 b c) (.f64 a d))`	nan-rescue	2	0
↳	`(*.f64 b c)`	overflow	24
↳	`(*.f64 a d)`	overflow	30
`/.f64`	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	2	0
↳	`(*.f64 b c)`	underflow	33
↳	`(-.f64 (.f64 b c) (.f64 a d))`	underflow	2
↳	`(*.f64 a d)`	underflow	27
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	11
↳	`(*.f64 c c)`	underflow	54
↳	`(*.f64 d d)`	underflow	58

Confusion

	Predicted +	Predicted -
+	90	1
-	0	165

Precision

1.0

Recall

0.989010989010989

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	90	0	1
-	0	0	165

Precision?

1.0

Recall?

0.989010989010989

Freqs

test

number	freq
0	166
1	88
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions

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

ival-mult: 13.0ms (64.2% of total)

ival-div: 3.0ms (14.8% of total)

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

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

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

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

preprocess406.0ms (5.4%)

Memory

-15.5MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.8%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify48.0ms (0.6%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (0.8%)

Memory

-54.8MiB live, 44.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a d)
accuracy	0.00390625	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.46093543583020585	(-.f64 (.f64 b c) (.f64 a d))
accuracy	21.709078187541767	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

51.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 38.0ms (89.7% of total)

ival-div: 2.0ms (4.7% of total)

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

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

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

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

series17.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

5 → 168

Calls

Call 1

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

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

Calls

12 calls:

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

simplify121.0ms (1.6%)

Memory

-3.3MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	1511
1	623	1461
2	1861	1441
3	5489	1432
0	8501	1356

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite340.0ms (4.5%)

Memory

1.2MiB live, 202.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 478

Calls

Call 1

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

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

eval69.0ms (0.9%)

Memory: -15.4MiB live, 95.7MiB allocated
Compiler: Compiled 24 549 to 1 324 computations (94.6% saved)

prune140.0ms (1.9%)

Memory

22.7MiB live, 144.6MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	632	14	646
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	633	14	647

Accuracy

98.1%

Counts

647 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b (.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
	65.5%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (.f64 a d))))
▶	65.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (.f64 a d)))) (+.f64 (.f64 c c) (*.f64 d d)))
▶	36.9%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	40.0%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	43.9%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 b c)) (+.f64 (.f64 c c) (*.f64 d d)))
	65.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 (neg.f64 d) a (.f64 b c))))
▶	65.6%	(.f64 (fma.f64 (neg.f64 d) a (.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
	53.8%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
	53.9%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
	46.9%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
▶	44.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
	42.8%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) c))
▶	45.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (.f64 d d)))))

Compiler

Compiled 468 to 270 computations (42.3% saved)

simplify139.0ms (1.8%)

Memory

11.5MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b c)
cost-diff	0	(neg.f64 d)
cost-diff	0	(fma.f64 (neg.f64 d) a (*.f64 b c))
cost-diff	320	(.f64 (fma.f64 (neg.f64 d) a (.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
cost-diff	0	(*.f64 a d)
cost-diff	0	(*.f64 b c)
cost-diff	0	(-.f64 (.f64 b c) (.f64 a d))
cost-diff	0	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
cost-diff	0	(/.f64 d (fma.f64 c c (*.f64 d d)))
cost-diff	0	(neg.f64 a)
cost-diff	0	(.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (.f64 d d))))
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (.f64 d d)))))
cost-diff	0	(/.f64 b c)
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (.f64 a d)))) (+.f64 (.f64 c c) (*.f64 d d)))
cost-diff	128	(+.f64 (.f64 c c) (.f64 d d))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))

Rules

1 584×	`lower-fma.f32`
1 576×	`lower-fma.f64`
1 120×	`lower-*.f32`
1 108×	`lower-*.f64`
990×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	248
0	62	248
1	105	243
2	177	238
3	350	238
4	792	238
5	1467	238
6	2697	238
7	3953	238
8	4767	238
9	4829	238
10	4832	238
11	4836	238
12	4836	238
13	4936	238
14	4976	238
15	4976	238
0	4976	238

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize109.0ms (1.4%)

Memory

-30.8MiB live, 90.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 d)
accuracy	0.2539034976055602	(fma.f64 (neg.f64 d) a (*.f64 b c))
accuracy	0.6369853896261997	(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
accuracy	21.14965745697112	(.f64 (fma.f64 (neg.f64 d) a (.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
accuracy	0	(*.f64 a d)
accuracy	0.46093543583020585	(-.f64 (.f64 b c) (.f64 a d))
accuracy	21.709078187541767	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy	28.191411786226684	#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy	0.00390625	(fma.f64 c c (*.f64 d d))
accuracy	2.6134106380691637	(.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (.f64 d d))))
accuracy	19.622215612442165	(/.f64 d (fma.f64 c c (*.f64 d d)))
accuracy	24.500777156664043	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (.f64 d d)))))
accuracy	0	(/.f64 b c)
accuracy	35.62605754975913	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
accuracy	0.21875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
accuracy	0.2539034976055602	(fma.f64 (neg.f64 b) c (*.f64 a d))
accuracy	0.4279859433739581	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
accuracy	21.709078187541767	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (.f64 a d)))) (+.f64 (.f64 c c) (*.f64 d d)))

Samples

59.0ms

256×

valid

Compiler

Compiled 244 to 31 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 21.0ms (51.9% of total)

ival-div: 11.0ms (27.2% of total)

ival-add: 4.0ms (9.9% of total)

ival-neg: 3.0ms (7.4% of total)

ival-sub: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.8%)

Memory

23.7MiB live, 58.7MiB allocated

Counts

21 → 732

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	((/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (* (+ (* (neg d) a) (* b c)) (/ 1 (+ (* d d) (* c c)))) (+ (* (neg d) a) (* b c)) (neg d) (+ (* (neg b) c) (* a d)) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ 1 (+ (* d d) (* c c))))
3.0ms	a	@	0	((/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (* (+ (* (neg d) a) (* b c)) (/ 1 (+ (* d d) (* c c)))) (+ (* (neg d) a) (* b c)) (neg d) (+ (* (neg b) c) (* a d)) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ 1 (+ (* d d) (* c c))))
3.0ms	c	@	0	((/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (* (+ (* (neg d) a) (* b c)) (/ 1 (+ (* d d) (* c c)))) (+ (* (neg d) a) (* b c)) (neg d) (+ (* (neg b) c) (* a d)) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ 1 (+ (* d d) (* c c))))
3.0ms	a	@	inf	((/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (* (+ (* (neg d) a) (* b c)) (/ 1 (+ (* d d) (* c c)))) (+ (* (neg d) a) (* b c)) (neg d) (+ (* (neg b) c) (* a d)) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ 1 (+ (* d d) (* c c))))
3.0ms	c	@	inf	((/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (* (+ (* (neg d) a) (* b c)) (/ 1 (+ (* d d) (* c c)))) (+ (* (neg d) a) (* b c)) (neg d) (+ (* (neg b) c) (* a d)) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ 1 (+ (* d d) (* c c))))

simplify200.0ms (2.7%)

Memory

-8.5MiB live, 263.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 168×	`lower-fma.f64`
7 168×	`lower-fma.f32`
5 704×	`lower-*.f64`
5 704×	`lower-*.f32`
3 490×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	685	9709
1	2233	9276
2	7498	9224
0	8128	8792

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

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

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

rewrite294.0ms (3.9%)

Memory

33.2MiB live, 347.9MiB allocated

Rules

4 026×	`lower-/.f32`
4 012×	`lower-/.f64`
3 550×	`lower-*.f32`
3 538×	`lower-*.f64`
3 176×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	62	201
1	215	195
2	1634	189
0	8727	189

Stop Event

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

Counts

21 → 1 708

Calls

Call 1

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

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

eval280.0ms (3.7%)

Memory: 10.2MiB live, 427.0MiB allocated
Compiler: Compiled 81 627 to 3 723 computations (95.4% saved)

prune441.0ms (5.9%)

Memory

-21.6MiB live, 448.8MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	2 484	14	2 498
Fresh	7	2	9
Picked	2	3	5
Done	0	0	0
Total	2 493	19	2 512

Accuracy

98.1%

Counts

2 512 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (.f64 a d))))
✓	36.9%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	40.0%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	22.3%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	40.0%	(.f64 (fma.f64 (neg.f64 d) a (.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
	53.8%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
▶	53.9%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
▶	46.9%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
	46.2%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) b))
	15.0%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 b) c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 b) c) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) c))))))
▶	45.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) d)))
✓	44.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
	43.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) d))))
	44.2%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
✓	45.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (.f64 d d)))))
	21.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (neg.f64 a) (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c)))))
	46.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (neg.f64 a) #s(approx (/ d (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) d))))
	43.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 d (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 a))))
▶	21.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (.f64 (/.f64 a (.f64 c c)) (neg.f64 d))))

Compiler

Compiled 550 to 319 computations (42% saved)

simplify192.0ms (2.5%)

Memory

-2.1MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 a)
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) d)))
cost-diff	192	(/.f64 (fma.f64 d d (*.f64 c c)) d)
cost-diff	192	(/.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) d))
cost-diff	0	(/.f64 (*.f64 d a) c)
cost-diff	0	(-.f64 b (/.f64 (*.f64 d a) c))
cost-diff	0	(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
cost-diff	0	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
cost-diff	0	(/.f64 a (*.f64 c c))
cost-diff	0	(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
cost-diff	0	#s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (.f64 (/.f64 a (.f64 c c)) (neg.f64 d)))
cost-diff	0	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (.f64 (/.f64 a (.f64 c c)) (neg.f64 d))))
cost-diff	0	(neg.f64 a)
cost-diff	0	(/.f64 (neg.f64 a) d)
cost-diff	0	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
cost-diff	0	(*.f64 c c)
cost-diff	0	(fma.f64 d d (*.f64 c c))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (.f64 a d))))

Rules

2 968×	`lower-fma.f32`
2 964×	`lower-fma.f64`
2 180×	`lower-*.f32`
2 172×	`lower-*.f64`
1 992×	`lower-/.f32`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	46	290
0	66	280
1	124	275
2	252	272
3	528	272
4	1005	272
5	1933	272
6	3573	272
7	4494	272
8	4773	272
9	4805	272
10	4814	272
11	4819	272
12	4847	272
13	5179	267
14	5770	267
15	6383	267
16	7043	267
17	7434	267
18	7672	267
0	8359	267

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1.5%)

Memory

-5.7MiB live, 181.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 a)
accuracy	2.651501443988984	(/.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) d))
accuracy	18.949141556754647	(/.f64 (fma.f64 d d (*.f64 c c)) d)
accuracy	24.500777156664043	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) d)))
accuracy	0.0078125	(-.f64 b (/.f64 (*.f64 d a) c))
accuracy	0.5279606725451393	(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
accuracy	3.8924535551585935	(/.f64 (*.f64 d a) c)
accuracy	28.642775783736457	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
accuracy	4.3760938310086965	(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
accuracy	8.638476001709241	(/.f64 a (*.f64 c c))
accuracy	24.500777156664043	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (.f64 (/.f64 a (.f64 c c)) (neg.f64 d))))
accuracy	28.493533283659204	#s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (.f64 (/.f64 a (.f64 c c)) (neg.f64 d)))
accuracy	0	(/.f64 (neg.f64 a) d)
accuracy	0	(neg.f64 a)
accuracy	34.010709527526195	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
accuracy	0.2539034976055602	(fma.f64 (neg.f64 b) c (*.f64 a d))
accuracy	0.4279859433739581	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
accuracy	0.6369853896261997	(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
accuracy	21.032379310837836	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (.f64 a d))))

Samples

85.0ms

256×

valid

Compiler

Compiled 245 to 37 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 24.0ms (39.7% of total)

ival-neg: 18.0ms (29.8% of total)

ival-mult: 12.0ms (19.9% of total)

ival-add: 3.0ms (5% of total)

ival-sub: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.9%)

Memory

2.0MiB live, 97.2MiB allocated

Counts

20 → 720

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	a	@	0	((/ (/ 1 (+ (* d d) (* c c))) (/ -1 (+ (* (neg b) c) (* a d)))) (/ 1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (* (/ a (* c c)) (neg d)) (/ a (* c c)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (- b (/ (* d a) c)) c) (- b (/ (* d a) c)) (/ (* d a) c) (/ (neg a) (/ (+ (* d d) (* c c)) d)) (/ (+ (* d d) (* c c)) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (+ (* (neg b) c) (* a d)))
4.0ms	a	@	inf	((/ (/ 1 (+ (* d d) (* c c))) (/ -1 (+ (* (neg b) c) (* a d)))) (/ 1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (* (/ a (* c c)) (neg d)) (/ a (* c c)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (- b (/ (* d a) c)) c) (- b (/ (* d a) c)) (/ (* d a) c) (/ (neg a) (/ (+ (* d d) (* c c)) d)) (/ (+ (* d d) (* c c)) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (+ (* (neg b) c) (* a d)))
4.0ms	a	@	-inf	((/ (/ 1 (+ (* d d) (* c c))) (/ -1 (+ (* (neg b) c) (* a d)))) (/ 1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (* (/ a (* c c)) (neg d)) (/ a (* c c)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (- b (/ (* d a) c)) c) (- b (/ (* d a) c)) (/ (* d a) c) (/ (neg a) (/ (+ (* d d) (* c c)) d)) (/ (+ (* d d) (* c c)) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (+ (* (neg b) c) (* a d)))
3.0ms	d	@	inf	((/ (/ 1 (+ (* d d) (* c c))) (/ -1 (+ (* (neg b) c) (* a d)))) (/ 1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (* (/ a (* c c)) (neg d)) (/ a (* c c)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (- b (/ (* d a) c)) c) (- b (/ (* d a) c)) (/ (* d a) c) (/ (neg a) (/ (+ (* d d) (* c c)) d)) (/ (+ (* d d) (* c c)) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (+ (* (neg b) c) (* a d)))
3.0ms	d	@	-inf	((/ (/ 1 (+ (* d d) (* c c))) (/ -1 (+ (* (neg b) c) (* a d)))) (/ 1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (* (/ a (* c c)) (neg d)) (/ a (* c c)) (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/ (- b (/ (* d a) c)) c) (- b (/ (* d a) c)) (/ (* d a) c) (/ (neg a) (/ (+ (* d d) (* c c)) d)) (/ (+ (* d d) (* c c)) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* (neg b) c) (* a d))) (+ (* (neg b) c) (* a d)))

simplify180.0ms (2.4%)

Memory

4.4MiB live, 224.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 292×	`lower-fma.f64`
7 292×	`lower-fma.f32`
5 948×	`lower-*.f64`
5 948×	`lower-*.f32`
3 364×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	9998
1	2231	9600
2	7542	9534
0	8014	9106

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 711

Calls

Call 1

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

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

rewrite170.0ms (2.3%)

Memory

19.7MiB live, 227.2MiB allocated

Rules

5 178×	`lower-/.f32`
5 160×	`lower-/.f64`
4 096×	`lower-*.f32`
4 088×	`lower-*.f64`
3 866×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	248
0	66	238
1	268	233
2	2011	233
0	8481	233

Stop Event

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

Counts

20 → 730

Calls

Call 1

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

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

eval254.0ms (3.4%)

Memory: 1.6MiB live, 272.0MiB allocated
Compiler: Compiled 36 377 to 2 819 computations (92.3% saved)

prune258.0ms (3.4%)

Memory

12.9MiB live, 336.3MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 593	9	1 602
Fresh	7	4	11
Picked	3	2	5
Done	1	2	3
Total	1 604	17	1 621

Accuracy

99.3%

Counts

1 621 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))) #s(approx (/ -1 (+ ( (neg b) c) (* a d))) (/.f64 #s(literal 1 binary64) (*.f64 c b))))
✓	36.9%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	22.3%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	54.7%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
▶	53.8%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
✓	46.9%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
	22.7%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
	46.2%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) b))
	46.7%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a)))
	40.0%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (/.f64 (fma.f64 (neg.f64 d) a (.f64 c b)) (.f64 c c))))
▶	59.5%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))
✓	44.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
▶	43.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (/.f64 (neg.f64 a) (fma.f64 c c (.f64 d d))) d))
▶	44.2%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
▶	22.1%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (/.f64 (.f64 (neg.f64 d) a) (.f64 c c))))
	22.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d))))
✓	21.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (.f64 (/.f64 a (.f64 c c)) (neg.f64 d))))

Compiler

Compiled 419 to 242 computations (42.2% saved)

simplify220.0ms (2.9%)

Memory

0.7MiB live, 73.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4 072×	`lower-fma.f32`
4 068×	`lower-fma.f64`
2 300×	`lower-*.f32`
2 288×	`lower-*.f64`
1 296×	`lower-/.f32`

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	49	306
0	69	301
1	127	295
2	231	294
3	474	294
4	884	294
5	2126	294
6	4088	294
7	5334	294
8	5929	294
9	6057	294
10	6085	294
11	6090	294
12	6355	294
13	6473	294
14	6473	294
15	6509	288
16	6544	288
17	7274	288
0	8077	288

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1.5%)

Memory

-51.7MiB live, 132.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (/.f64 (*.f64 c b) d) a)
accuracy	0.533090400514471	(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
accuracy	2.8133522834224554	(/.f64 (*.f64 c b) d)
accuracy	28.790811839987587	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
accuracy	0.00390625	(fma.f64 c c (*.f64 d d))
accuracy	6.871632968382563	(/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d)))
accuracy	10.285648075753265	(.f64 (/.f64 (neg.f64 a) (fma.f64 c c (.f64 d d))) d)
accuracy	24.500777156664043	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (/.f64 (neg.f64 a) (fma.f64 c c (.f64 d d))) d))
accuracy	0	(neg.f64 d)
accuracy	9.306393644520927	(/.f64 (.f64 (neg.f64 d) a) (.f64 c c))
accuracy	24.500777156664043	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (/.f64 (.f64 (neg.f64 d) a) (.f64 c c))))
accuracy	28.493533283659204	#s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (/.f64 (.f64 (neg.f64 d) a) (.f64 c c)))
accuracy	0	(/.f64 #s(literal 1 binary64) c)
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 1 binary64) c) b)
accuracy	35.62605754975913	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
accuracy	0	#s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))
accuracy	0.0625	(fma.f64 c (/.f64 c d) d)
accuracy	2.651501443988984	(/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d)))
accuracy	24.500777156664043	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))

Samples

89.0ms

256×

valid

Compiler

Compiled 226 to 41 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 35.0ms (49.7% of total)

ival-div: 26.0ms (37% of total)

ival-add: 4.0ms (5.7% of total)

ival-neg: 3.0ms (4.3% of total)

ival-sub: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.7%)

Memory

26.5MiB live, 64.3MiB allocated

Counts

21 → 708

Calls

Call 1

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

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

Calls

12 calls:

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

simplify189.0ms (2.5%)

Memory

24.3MiB live, 210.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 330×	`lower-fma.f64`
13 330×	`lower-fma.f32`
4 854×	`lower-*.f64`
4 854×	`lower-*.f32`
2 966×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	9457
1	1225	8957
2	3801	8801
0	8155	8366

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 702

Calls

Call 1

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

rewrite213.0ms (2.8%)

Memory

-24.1MiB live, 138.9MiB allocated

Rules

4 994×	`lower-*.f32`
4 982×	`lower-*.f64`
4 826×	`lower-/.f32`
4 812×	`lower-/.f64`
4 536×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	276
0	69	271
1	276	264
2	1989	264
0	8117	264

Stop Event

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

Counts

21 → 554

Calls

Call 1

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

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

eval229.0ms (3%)

Memory: -2.7MiB live, 205.9MiB allocated
Compiler: Compiled 23 697 to 1 835 computations (92.3% saved)

prune315.0ms (4.2%)

Memory

-15.8MiB live, 263.9MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 278	2	1 280
Fresh	1	7	8
Picked	1	4	5
Done	0	4	4
Total	1 280	17	1 297

Accuracy

100.0%

Counts

1 297 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	36.9%	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	22.3%	(/.f64 #s(approx (- (* b c) (* a d)) (.f64 c b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
	55.0%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
	54.7%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
✓	46.9%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
	23.9%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
	22.7%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
	46.2%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) b))
	46.7%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a)))
	40.0%	#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (/.f64 (fma.f64 (neg.f64 d) a (.f64 c b)) (.f64 c c))))
✓	59.5%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))
✓	44.3%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
✓	43.4%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (/.f64 (neg.f64 a) (fma.f64 c c (.f64 d d))) d))
✓	44.2%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
✓	22.1%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (/.f64 (.f64 (neg.f64 d) a) (.f64 c c))))
	22.7%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d))))
✓	21.6%	#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (neg a) (/ d (+ (* c c) (* d d)))) (.f64 (/.f64 a (.f64 c c)) (neg.f64 d))))

Compiler

Compiled 702 to 238 computations (66.1% saved)

regimes67.0ms (0.9%)

Memory

11.3MiB live, 90.3MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

20.0ms	b
12.0ms	a
11.0ms	c
11.0ms	d
10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
73.8%	3	`a`
73.7%	4	`b`
86.4%	5	`c`
88.7%	3	`d`
81.8%	4	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes9.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
88.6%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes35.0ms (0.5%)

Memory

-27.6MiB live, 11.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
86.8%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes20.0ms (0.3%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.1%	4	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`
74.3%	4	`c`
78.9%	3	`d`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes16.0ms (0.2%)

Memory

-22.0MiB live, 16.3MiB allocated

Counts

21 → 4

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
77.7%	4	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
75.6%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
44.3%	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`
44.3%	1	`b`
44.3%	1	`c`
44.3%	1	`a`
44.3%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch21.0ms (0.3%)

Memory

-15.0MiB live, 25.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.2220229484737679e-54	4.775574817130868e-42
0.0ms	-0.00011078722508370011	-0.00011069599721722217

Samples

10.0ms

160×

valid

Compiler

Compiled 332 to 198 computations (40.4% saved)

Precisions

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

ival-mult: 4.0ms (64.8% of total)

ival-sub: 1.0ms (16.2% of total)

ival-div: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2220229484737679e-54	4.775574817130868e-42
0.0ms	-0.00011078722508370011	-0.00011069599721722217

Compiler

Compiled 332 to 198 computations (40.4% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2220229484737679e-54	4.775574817130868e-42
0.0ms	-0.00011078722508370011	-0.00011069599721722217

Compiler

Compiled 332 to 198 computations (40.4% saved)

bsearch25.0ms (0.3%)

Memory

-1.0MiB live, 36.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.2220229484737679e-54	4.775574817130868e-42
13.0ms	-7.58266358400519e-33	-3.081098823311403e-35

Samples

15.0ms

208×

valid

Compiler

Compiled 447 to 273 computations (38.9% saved)

Precisions

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

ival-mult: 7.0ms (70.5% of total)

ival-sub: 1.0ms (10.1% of total)

ival-div: 1.0ms (10.1% of total)

ival-add: 1.0ms (10.1% of total)

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

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

bsearch29.0ms (0.4%)

Memory

-5.1MiB live, 33.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	6.743283605216974e+129	8.605450625510331e+137
3.0ms	1.2220229484737679e-54	4.775574817130868e-42
8.0ms	-4238129990705924000.0	-1223446805295765800.0

Samples

17.0ms

256×

valid

Compiler

Compiled 620 to 396 computations (36.1% saved)

Precisions

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

ival-mult: 6.0ms (60.9% of total)

ival-sub: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

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

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

bsearch16.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2220229484737679e-54	4.775574817130868e-42
0.0ms	-4238129990705924000.0	-1223446805295765800.0

Samples

9.0ms

144×

valid

Compiler

Compiled 307 to 213 computations (30.6% saved)

Precisions

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

ival-mult: 3.0ms (53.9% of total)

ival-sub: 1.0ms (18% of total)

ival-div: 1.0ms (18% of total)

ival-add: 1.0ms (18% of total)

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

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

simplify12.0ms (0.2%)

Memory

-26.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
26×	`+-commutative_binary64`
26×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	575
1	94	575
2	118	575
3	146	575
4	162	575
5	169	575
6	170	575

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 a d) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 a d) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d)))) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 a d) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -6547527335242445/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d)))) (if (<=.f64 d #s(literal 1979871083368875/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -1250000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 740000000000000040829155461767860272248271999925388650389229009538503267221322998562705754472301931015852894533280723517980183694900461568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -1250000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 7218666995694683/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))

Outputs
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 a d) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 a d) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (.f64 c b) d) a) d)) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 a d) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d)))) (if (<=.f64 d #s(literal 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (.f64 a d) c)) c)) #s(approx (/ (- ( b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -6547527335242445/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d)))) (if (<=.f64 d #s(literal 1979871083368875/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) #s(approx (/ (+ (* d d) (* c c)) d) (fma.f64 c (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -1250000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 740000000000000040829155461767860272248271999925388650389229009538503267221322998562705754472301931015852894533280723517980183694900461568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -1250000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 740000000000000040829155461767860272248271999925388650389229009538503267221322998562705754472301931015852894533280723517980183694900461568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) (neg.f64 a))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -1250000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 7218666995694683/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))

soundness935.0ms (12.4%)

Memory

12.5MiB live, 743.3MiB allocated

Rules

7 930×	`lower-fma.f64`
7 930×	`lower-fma.f32`
7 292×	`lower-fma.f64`
7 292×	`lower-fma.f32`
7 168×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	35
1	65	35
2	505	35
3	6376	35
0	8178	33
0	38	199
0	62	201
1	215	195
2	1634	189
0	8727	189
0	191	1511
1	623	1461
2	1861	1441
3	5489	1432
0	8501	1356
0	681	9998
1	2231	9600
2	7542	9534
0	8014	9106
0	685	9709
1	2233	9276
2	7498	9224
0	8128	8792
0	49	276
0	69	271
1	276	264
2	1989	264
0	8117	264

Stop Event

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

Compiler

Compiled 517 to 240 computations (53.6% saved)

preprocess59.0ms (0.8%)

Memory: -13.4MiB live, 101.5MiB allocated
Compiler: Compiled 560 to 168 computations (70% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.3%)

sample844.0ms (11.2%)

explain120.0ms (1.6%)

preprocess406.0ms (5.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.6%)

localize60.0ms (0.8%)

series17.0ms (0.2%)

simplify121.0ms (1.6%)

rewrite340.0ms (4.5%)

eval69.0ms (0.9%)

prune140.0ms (1.9%)

simplify139.0ms (1.8%)

localize109.0ms (1.4%)

series62.0ms (0.8%)

simplify200.0ms (2.7%)

rewrite294.0ms (3.9%)

eval280.0ms (3.7%)

prune441.0ms (5.9%)

simplify192.0ms (2.5%)

localize111.0ms (1.5%)

series69.0ms (0.9%)

simplify180.0ms (2.4%)

rewrite170.0ms (2.3%)

eval254.0ms (3.4%)

prune258.0ms (3.4%)

simplify220.0ms (2.9%)

localize111.0ms (1.5%)

series54.0ms (0.7%)

simplify189.0ms (2.5%)

rewrite213.0ms (2.8%)

eval229.0ms (3%)

prune315.0ms (4.2%)

regimes67.0ms (0.9%)

regimes9.0ms (0.1%)

regimes35.0ms (0.5%)

regimes20.0ms (0.3%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch21.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.3%)

bsearch29.0ms (0.4%)

bsearch16.0ms (0.2%)

simplify12.0ms (0.2%)

soundness935.0ms (12.4%)

preprocess59.0ms (0.8%)

end0.0ms (0%)

Profiling