Metrics for Complex division, real part

analyze35.0ms (0.4%)

Memory

15.6MiB live, 49.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (12.2%)

Memory

-6.4MiB live, 1 275.2MiB allocated

Samples

843.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 543.0ms

ival-add: 235.0ms (43.3% of total)

ival-mult: 217.0ms (40% of total)

ival-div: 82.0ms (15.1% of total)

ival-true: 5.0ms (0.9% of total)

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

Bogosity

preprocess329.0ms (3.6%)

Memory

2.2MiB live, 46.7MiB allocated

Algorithm

2×	egg-herbie

Rules

2 276×	`times-frac`
1 320×	`div-sub`
1 052×	`distribute-rgt-in`
1 014×	`distribute-lft-in`
984×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	233
1	131	225
2	208	225
3	380	225
4	928	225
5	2424	225
6	3271	225
7	4118	225
8	4999	225
9	5393	225
10	5521	225
11	5690	225
12	5690	225
13	5690	225
14	5690	225
15	6050	225
16	7020	225
17	7172	225
18	7184	225
19	7188	225
20	7196	225
21	7204	225
22	7204	225
23	7312	225
24	7360	225
25	7360	225
0	11	15
1	15	15
0	15	13

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain138.0ms (1.5%)

Memory

2.6MiB live, 273.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
107	-	2	(-3.9277419613423544e-285 -1.049311774750442e-261 1.2841833208693444e-37 -2.2951725108935633e-88)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
1	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	45	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	58
↳	`(*.f64 a c)`	overflow	37
↳	`(*.f64 b d)`	overflow	27
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	111
↳	`(*.f64 c c)`	overflow	59
↳	`(*.f64 d d)`	overflow	68
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	39	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	111
↳	`(*.f64 c c)`	overflow	59
↳	`(*.f64 d d)`	overflow	68
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	13	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	58
↳	`(*.f64 a c)`	overflow	37
↳	`(*.f64 b d)`	overflow	27
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	5	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	16
↳	`(*.f64 c c)`	underflow	69
↳	`(*.f64 d d)`	underflow	63
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	3
↳	`(*.f64 a c)`	underflow	39
↳	`(*.f64 b d)`	underflow	26
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	1	0
↳	`(*.f64 a c)`	overflow	37
↳	`(*.f64 b d)`	overflow	27

Confusion

	Predicted +	Predicted -
+	105	2
-	0	149

Precision

1.0

Recall

0.9813084112149533

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	2
-	0	0	149

Precision?

1.0

Recall?

0.9813084112149533

Freqs

test

number	freq
0	151
1	104
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

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

ival-mult: 21.0ms (68.6% of total)

ival-add: 6.0ms (19.6% of total)

ival-div: 3.0ms (9.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify4.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	15	45
0	15	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

18.3MiB live, 58.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	99.7%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	61.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

20.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 7.0ms (65.9% of total)

ival-div: 2.0ms (18.8% of total)

ival-add: 2.0ms (18.8% of total)

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

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

series14.0ms (0.2%)

Memory

-13.1MiB live, 25.5MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(+ (* a c) (* b d))
1.0ms	c	@	0	(* a c)
1.0ms	c	@	inf	(+ (* c c) (* d d))
1.0ms	a	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.0ms	b	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite355.0ms (3.9%)

Memory

14.5MiB live, 453.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 970×	`accelerator-lowering-fma.f32`
5 970×	`accelerator-lowering-fma.f64`
5 332×	`-lowering-.f32`
5 332×	`-lowering-.f64`
2 426×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	51	32
2	428	32
3	5062	32
0	8752	28

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 339

Calls

Call 1

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

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

simplify302.0ms (3.3%)

Memory

-9.4MiB live, 464.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 676×	`accelerator-lowering-fma.f32`
7 676×	`accelerator-lowering-fma.f64`
4 326×	`-lowering-.f32`
4 326×	`-lowering-.f64`
1 822×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1356
1	618	1346
2	1892	1322
3	5763	1320
0	8185	1190

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval56.0ms (0.6%)

Memory: -2.1MiB live, 104.0MiB allocated
Compiler: Compiled 17 230 to 1 014 computations (94.1% saved)

prune77.0ms (0.8%)

Memory

13.2MiB live, 166.6MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	468	15	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	15	484

Accuracy

100.0%

Counts

484 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.2%	(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (.f64 d (.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
	58.8%	(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (*.f64 c c))))
	48.3%	(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
	49.2%	(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
	52.9%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
	56.3%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
▶	61.1%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	61.1%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 d d (*.f64 c c)))
▶	33.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
	51.3%	(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d)
	49.1%	(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c)
▶	40.8%	(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
	36.6%	(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
	46.4%	(/.f64 b d)
▶	41.2%	(/.f64 a c)

Compiler

Compiled 468 to 260 computations (44.4% saved)

simplify6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

20×	`-lowering-.f32`
20×	`-lowering-.f64`
16×	`/-lowering-/.f32`
16×	`/-lowering-/.f64`
12×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	144
1	23	144
2	26	144
3	27	144
0	27	132

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize77.0ms (0.8%)

Memory

34.2MiB live, 176.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	99.7%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	61.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 d d (*.f64 c c)))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.7%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	70.8%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	75.7%	(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(fma.f64 c c (*.f64 d d))
✓	accuracy	100.0%	(fma.f64 a c (*.f64 b d))
✓	accuracy	61.4%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Samples

44.0ms

256×

valid

Compiler

Compiled 138 to 18 computations (87% saved)

Precisions

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

ival-div: 7.0ms (40.1% of total)

ival-mult: 7.0ms (40.1% of total)

ival-add: 3.0ms (17.2% of total)

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

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

series37.0ms (0.4%)

Memory

-71.8MiB live, 42.2MiB allocated

Counts

12 → 408

Calls

Call 1

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

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

Calls

102 calls:

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

rewrite757.0ms (8.3%)

Memory

29.7MiB live, 911.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 400×	`-lowering-.f32`
6 400×	`-lowering-.f64`
6 074×	`accelerator-lowering-fma.f32`
6 074×	`accelerator-lowering-fma.f64`
4 722×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	92
1	91	92
2	726	92
0	8273	82

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 486

Calls

Call 1

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

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

simplify692.0ms (7.6%)

Memory

-27.6MiB live, 489.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 288×	`accelerator-lowering-fma.f32`
10 288×	`accelerator-lowering-fma.f64`
5 290×	`-lowering-.f32`
5 290×	`-lowering-.f64`
3 182×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	4230
1	971	4178
2	3015	4104
0	8040	3794

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval352.0ms (3.9%)

Memory: 51.5MiB live, 513.0MiB allocated
Compiler: Compiled 80 528 to 2 694 computations (96.7% saved)

prune266.0ms (2.9%)

Memory

-8.2MiB live, 540.6MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	2 375	12	2 387
Fresh	6	4	10
Picked	4	1	5
Done	0	0	0
Total	2 385	17	2 402

Accuracy

100.0%

Counts

2 402 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.9%	(fma.f64 b (/.f64 (.f64 d a) (.f64 c (*.f64 c a))) (/.f64 a c))
	48.3%	(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
▶	61.1%	(/.f64 (fma.f64 d b (.f64 a c)) (fma.f64 d d (.f64 c c)))
	55.2%	(/.f64 (fma.f64 c (/.f64 a d) b) d)
▶	33.3%	(/.f64 (fma.f64 c a (.f64 b d)) (.f64 c c))
	52.9%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
	56.3%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
	37.1%	(/.f64 (fma.f64 a c (.f64 b d)) (.f64 d d))
▶	40.0%	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)
	36.6%	(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
	18.8%	(/.f64 (.f64 b d) (.f64 c c))
▶	46.4%	(/.f64 b d)
✓	41.2%	(/.f64 a c)
▶	40.4%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
	41.1%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
	42.4%	(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
	18.6%	(.f64 b (/.f64 d (.f64 c c)))

Compiler

Compiled 411 to 247 computations (39.9% saved)

simplify303.0ms (3.3%)

Memory

-17.0MiB live, 457.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(fma.f64 a c (*.f64 b d))
✓	cost-diff	64	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)
✓	cost-diff	320	(/.f64 (fma.f64 a c (*.f64 b d)) c)
✓	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(fma.f64 c a (*.f64 b d))
✓	cost-diff	0	(/.f64 (fma.f64 c a (.f64 b d)) (.f64 c c))
✓	cost-diff	0	(/.f64 c a)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	cost-diff	0	(/.f64 b d)
✓	cost-diff	0	(fma.f64 d d (*.f64 c c))
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(fma.f64 d b (*.f64 a c))
✓	cost-diff	0	(/.f64 (fma.f64 d b (.f64 a c)) (fma.f64 d d (.f64 c c)))

Rules

6 298×	`-lowering-.f32`
6 298×	`-lowering-.f64`
2 810×	`/-lowering-/.f32`
2 810×	`/-lowering-/.f64`
2 358×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	117
1	34	117
2	37	115
3	41	115
4	57	115
5	57	115
6	79	115
7	95	115
8	104	115
9	129	115
10	174	115
11	322	109
12	536	109
13	790	109
14	1876	109
15	2038	109
16	2180	109
17	2287	109
18	2416	109
19	2564	109
20	3717	109
21	4374	109
22	4824	109
23	5526	109
24	5876	109
25	6142	109
26	6396	109
27	6578	109
28	6773	109
29	7971	109
0	8069	100

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* d b) (* a c)) (+ (* d d) (* c c)))
(+ (* d b) (* a c))
d
b
(* a c)
a
c
(+ (* d d) (* c c))
(* c c)
(/ b d)
b
d
(/ 1 (/ c a))
1
(/ c a)
c
a
(/ (+ (* c a) (* b d)) (* c c))
(+ (* c a) (* b d))
c
a
(* b d)
b
d
(* c c)
(/ (/ (+ (* a c) (* b d)) c) c)
(/ (+ (* a c) (* b d)) c)
(+ (* a c) (* b d))
a
c
(* b d)
b
d

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

localize84.0ms (0.9%)

Memory

10.4MiB live, 168.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(fma.f64 a c (*.f64 b d))
✓	accuracy	98.8%	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)
✓	accuracy	84.5%	(/.f64 (fma.f64 a c (*.f64 b d)) c)
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(fma.f64 c a (*.f64 b d))
✓	accuracy	70.8%	(/.f64 (fma.f64 c a (.f64 b d)) (.f64 c c))
✓	accuracy	100.0%	(/.f64 c a)
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	99.6%	(fma.f64 d b (*.f64 a c))
✓	accuracy	61.4%	(/.f64 (fma.f64 d b (.f64 a c)) (fma.f64 d d (.f64 c c)))

Samples

61.0ms

256×

valid

Compiler

Compiled 110 to 24 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 31.0ms (68.3% of total)

ival-mult: 10.0ms (22% of total)

ival-add: 4.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.4%)

Memory

-11.0MiB live, 28.2MiB allocated

Counts

14 → 492

Calls

Call 1

Inputs
#<alt (/ (+ (* d b) (* a c)) (+ (* d d) (* c c)))>
#<alt (+ (* d b) (* a c))>
#<alt (* a c)>
#<alt (+ (* d d) (* c c))>
#<alt (/ b d)>
#<alt (/ 1 (/ c a))>
#<alt (/ c a)>
#<alt (/ (+ (* c a) (* b d)) (* c c))>
#<alt (+ (* c a) (* b d))>
#<alt (* b d)>
#<alt (* c c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (/ (+ (* a c) (* b d)) c) c)>
#<alt (+ (* a c) (* b d))>

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

Calls

123 calls:

Time	Variable		Point	Expression
24.0ms	c	@	-inf	(* a c)
3.0ms	b	@	0	(/ b d)
0.0ms	b	@	inf	(/ b d)
0.0ms	b	@	-inf	(/ b d)
0.0ms	c	@	-inf	(/ (+ (* a c) (* b d)) c)

rewrite656.0ms (7.2%)

Memory

17.9MiB live, 689.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 712×	`accelerator-lowering-fma.f32`
6 712×	`accelerator-lowering-fma.f64`
5 964×	`-lowering-.f32`
5 964×	`-lowering-.f64`
4 194×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	94
1	142	92
2	895	92
0	8517	83

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 257

Calls

Call 1

Inputs
(/ (+ (* d b) (* a c)) (+ (* d d) (* c c)))
(+ (* d b) (* a c))
(* a c)
(+ (* d d) (* c c))
(/ b d)
(/ 1 (/ c a))
(/ c a)
(/ (+ (* c a) (* b d)) (* c c))
(+ (* c a) (* b d))
(* b d)
(* c c)
(/ (+ (* a c) (* b d)) c)
(/ (/ (+ (* a c) (* b d)) c) c)
(+ (* a c) (* b d))

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

simplify391.0ms (4.3%)

Memory

-27.9MiB live, 453.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 526×	`accelerator-lowering-fma.f32`
7 526×	`accelerator-lowering-fma.f64`
4 394×	`-lowering-.f32`
4 394×	`-lowering-.f64`
3 314×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	3850
1	815	3840
2	2565	3820
3	6311	3746
0	8098	3473

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

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

eval209.0ms (2.3%)

Memory: 29.8MiB live, 330.9MiB allocated
Compiler: Compiled 50 131 to 2 381 computations (95.3% saved)

prune210.0ms (2.3%)

Memory

21.6MiB live, 339.5MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 797	5	1 802
Fresh	2	9	11
Picked	1	4	5
Done	0	1	1
Total	1 800	19	1 819

Accuracy

100.0%

Counts

1 819 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
	46.0%	(/.f64 (fma.f64 (.f64 a b) (/.f64 d (.f64 a c)) a) c)
✓	61.1%	(/.f64 (fma.f64 d b (.f64 a c)) (fma.f64 d d (.f64 c c)))
	37.1%	(/.f64 (fma.f64 d b (.f64 a c)) (.f64 d d))
	55.2%	(/.f64 (fma.f64 c (/.f64 a d) b) d)
✓	33.3%	(/.f64 (fma.f64 c a (.f64 b d)) (.f64 c c))
▶	52.9%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
▶	56.3%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
	20.8%	(/.f64 (/.f64 (*.f64 b d) c) c)
▶	36.6%	(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
▶	18.8%	(/.f64 (.f64 b d) (.f64 c c))
✓	46.4%	(/.f64 b d)
✓	41.2%	(/.f64 a c)
✓	40.4%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
	40.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) c))
	46.2%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
▶	41.1%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
	42.4%	(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
	18.6%	(.f64 b (/.f64 d (.f64 c c)))

Compiler

Compiled 394 to 244 computations (38.1% saved)

simplify25.0ms (0.3%)

Memory

-8.4MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

304×	`-lowering-.f32`
304×	`-lowering-.f64`
184×	`times-frac`
132×	`/-lowering-/.f32`
132×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	100
1	44	98
2	61	98
3	93	98
4	111	98
5	173	98
6	179	98
7	190	98
8	213	98
9	264	98
10	326	98
11	346	98
12	383	98
13	415	98
14	424	98
0	424	92

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (* a (/ c d)) b) d)
(+ (* a (/ c d)) b)
a
(/ c d)
c
d
b
(* (/ 1 c) a)
(/ 1 c)
1
c
a
(/ (* b d) (* c c))
(* b d)
b
d
(* c c)
c
(/ (* c a) (+ (* d d) (* c c)))
(* c a)
c
a
(+ (* d d) (* c c))
d
(* c c)
(/ (+ (* b (/ d c)) a) c)
(+ (* b (/ d c)) a)
b
(/ d c)
d
c
a

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

localize68.0ms (0.7%)

Memory

6.9MiB live, 121.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 d c)
✓	accuracy	98.8%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
✓	accuracy	96.2%	(fma.f64 b (/.f64 d c) a)
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	68.4%	(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	83.7%	(/.f64 (.f64 b d) (.f64 c c))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) c)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓	accuracy	100.0%	(/.f64 c d)
✓	accuracy	99.6%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓	accuracy	96.7%	(fma.f64 a (/.f64 c d) b)

Samples

47.0ms

256×

valid

Compiler

Compiled 96 to 24 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 17.0ms (54% of total)

ival-mult: 10.0ms (31.7% of total)

ival-add: 3.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (0.8%)

Memory

-63.1MiB live, 56.7MiB allocated

Counts

14 → 432

Calls

Call 1

Inputs
#<alt (/ (+ (* a (/ c d)) b) d)>
#<alt (+ (* a (/ c d)) b)>
#<alt (/ c d)>
#<alt (* (/ 1 c) a)>
#<alt (/ 1 c)>
#<alt (/ (* b d) (* c c))>
#<alt (* b d)>
#<alt (* c c)>
#<alt (/ (* c a) (+ (* d d) (* c c)))>
#<alt (* c a)>
#<alt (+ (* d d) (* c c))>
#<alt (/ (+ (* b (/ d c)) a) c)>
#<alt (+ (* b (/ d c)) a)>
#<alt (/ d c)>

Outputs
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ b d)>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (/ b d)>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<alt (/ a c)>
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ a c)>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))>
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (/ (* b d) (pow c 2))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ a c)>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (/ a c)>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* b d) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>

Calls

108 calls:

Time	Variable		Point	Expression
10.0ms	d	@	0	(/ c d)
6.0ms	b	@	-inf	(/ (+ (* b (/ d c)) a) c)
1.0ms	d	@	inf	(/ (* c a) (+ (* d d) (* c c)))
1.0ms	a	@	0	(/ (* c a) (+ (* d d) (* c c)))
1.0ms	d	@	inf	(/ (+ (* a (/ c d)) b) d)

rewrite317.0ms (3.5%)

Memory

39.8MiB live, 503.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 216×	`accelerator-lowering-fma.f32`
7 216×	`accelerator-lowering-fma.f64`
6 214×	`-lowering-.f32`
6 214×	`-lowering-.f64`
3 818×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	80
1	124	78
2	905	78
0	8806	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 849

Calls

Call 1

Inputs
(/ (+ (* a (/ c d)) b) d)
(+ (* a (/ c d)) b)
(/ c d)
(* (/ 1 c) a)
(/ 1 c)
(/ (* b d) (* c c))
(* b d)
(* c c)
(/ (* c a) (+ (* d d) (* c c)))
(* c a)
(+ (* d d) (* c c))
(/ (+ (* b (/ d c)) a) c)
(+ (* b (/ d c)) a)
(/ d c)

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

simplify395.0ms (4.3%)

Memory

-14.2MiB live, 541.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 076×	`accelerator-lowering-fma.f32`
9 076×	`accelerator-lowering-fma.f64`
5 134×	`-lowering-.f32`
5 134×	`-lowering-.f64`
3 264×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	3222
1	779	3198
2	2471	3164
3	7190	3134
0	8454	3004

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(.f64 a (/.f64 c (.f64 d d)))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(.f64 a (+.f64 (/.f64 b (.f64 d a)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(.f64 a (+.f64 (/.f64 b (.f64 d a)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(.f64 a (+.f64 (/.f64 b (.f64 d a)) (/.f64 c (*.f64 d d))))
(/ (* a c) (pow d 2))
(.f64 a (/.f64 c (.f64 d d)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(.f64 a (+.f64 (/.f64 b (.f64 d a)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(.f64 a (+.f64 (/.f64 b (.f64 d a)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(.f64 a (+.f64 (/.f64 b (.f64 d a)) (/.f64 c (*.f64 d d))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(.f64 a (/.f64 c (.f64 d d)))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(.f64 c (+.f64 (/.f64 a (.f64 d d)) (/.f64 b (*.f64 d c))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(.f64 c (+.f64 (/.f64 a (.f64 d d)) (/.f64 b (*.f64 d c))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(.f64 c (+.f64 (/.f64 a (.f64 d d)) (/.f64 b (*.f64 d c))))
(/ (* a c) (pow d 2))
(.f64 a (/.f64 c (.f64 d d)))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(.f64 c (+.f64 (/.f64 a (.f64 d d)) (/.f64 b (*.f64 d c))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(.f64 c (+.f64 (/.f64 a (.f64 d d)) (/.f64 b (*.f64 d c))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(.f64 c (+.f64 (/.f64 a (.f64 d d)) (/.f64 b (*.f64 d c))))
(/ (* a c) (pow d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (.f64 a c)) (.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (.f64 a c)) (.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (.f64 a c)) (.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(.f64 a (/.f64 c (.f64 d d)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (.f64 a c) (.f64 b (*.f64 d d))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (.f64 a c) (.f64 b (*.f64 d d))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (.f64 a c) (.f64 b (*.f64 d d))) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (.f64 a c) (.f64 b (*.f64 d d))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (.f64 a c) (.f64 b (*.f64 d d))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (.f64 a c) (.f64 b (*.f64 d d))) (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 a c)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 a c)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 a c)) d)
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
b
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (.f64 b a) (/.f64 c (.f64 b d)) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (.f64 b a) (/.f64 c (.f64 b d)) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (.f64 b a) (/.f64 c (.f64 b d)) b)
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
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(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(.f64 b (/.f64 d (.f64 c c)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 b (/.f64 (.f64 d a) (.f64 a (*.f64 c c))) (/.f64 a c))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 b (/.f64 (.f64 d a) (.f64 a (*.f64 c c))) (/.f64 a c))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 b (/.f64 (.f64 d a) (.f64 a (*.f64 c c))) (/.f64 a c))
(/ a c)
(/.f64 a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 b (/.f64 (.f64 d a) (.f64 a (*.f64 c c))) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 b (/.f64 (.f64 d a) (.f64 a (*.f64 c c))) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 b (/.f64 (.f64 d a) (.f64 a (*.f64 c c))) (/.f64 a c))
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(* d (+ (/ a d) (/ b c)))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(* d (+ (/ a d) (/ b c)))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(* d (+ (/ a d) (/ b c)))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 b d (*.f64 a c)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 b d (*.f64 a c)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 b d (*.f64 a c)) c)
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
a
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 a (.f64 b (/.f64 d (.f64 a c))) a)
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 a (.f64 b (/.f64 d (.f64 a c))) a)
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 a (.f64 b (/.f64 d (.f64 a c))) a)
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 (neg.f64 a) (neg.f64 (.f64 b (/.f64 d (.f64 a c)))) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 (neg.f64 a) (neg.f64 (.f64 b (/.f64 d (.f64 a c)))) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 (neg.f64 a) (neg.f64 (.f64 b (/.f64 d (.f64 a c)))) a)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)

eval168.0ms (1.8%)

Memory: -7.8MiB live, 233.3MiB allocated
Compiler: Compiled 22 503 to 2 218 computations (90.1% saved)

prune148.0ms (1.6%)

Memory

20.4MiB live, 260.2MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1 300	11	1 311
Fresh	6	3	9
Picked	1	4	5
Done	1	4	5
Total	1 308	22	1 330

Accuracy

100.0%

Counts

1 330 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(/.f64 (fma.f64 (/.f64 b c) d a) c)
	51.5%	(/.f64 (fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) b) a) c)
✓	61.1%	(/.f64 (fma.f64 d b (.f64 a c)) (fma.f64 d d (.f64 c c)))
	37.1%	(/.f64 (fma.f64 d b (.f64 a c)) (.f64 d d))
✓	33.3%	(/.f64 (fma.f64 c a (.f64 b d)) (.f64 c c))
✓	56.3%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
	20.8%	(/.f64 (/.f64 (*.f64 d b) c) c)
	20.3%	(/.f64 (/.f64 (*.f64 a c) d) d)
	56.1%	(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))
✓	36.6%	(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
	18.2%	(/.f64 (.f64 c a) (.f64 d d))
✓	18.8%	(/.f64 (.f64 b d) (.f64 c c))
✓	46.4%	(/.f64 b d)
✓	41.2%	(/.f64 a c)
	56.1%	(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
	18.6%	(.f64 (/.f64 d (.f64 c c)) b)
	20.4%	(*.f64 (/.f64 d c) (/.f64 b c))
	39.1%	(.f64 (/.f64 a (fma.f64 c c (.f64 d d))) c)
	46.2%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
✓	41.1%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
	42.4%	(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
	18.5%	(.f64 a (/.f64 c (.f64 d d)))

Compiler

Compiled 699 to 272 computations (61.1% saved)

regimes64.0ms (0.7%)

Memory

5.9MiB live, 124.3MiB allocated

Counts

44 → 5

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	d
13.0ms	a
13.0ms	c
12.0ms	b
11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
67.9%	3	`a`
69.1%	5	`b`
84.8%	4	`c`
87.6%	5	`d`
72.9%	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes16.0ms (0.2%)

Memory

-12.0MiB live, 24.1MiB allocated

Counts

42 → 5

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.7%	5	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

31 → 5

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
86.7%	5	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.3%)

Memory

-8.7MiB live, 30.8MiB allocated

Counts

30 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	d
8.0ms	c

Results

Accuracy	Segments	Branch
80.4%	3	`c`
82.1%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

25 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
82.0%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.2%)

Memory

-15.2MiB live, 21.1MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	d
7.0ms	c

Results

Accuracy	Segments	Branch
78.3%	3	`c`
75.4%	4	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes38.0ms (0.4%)

Memory

-8.3MiB live, 28.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.8%	6	`d`
56.1%	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
70.6%	3	`c`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory

12.9MiB live, 13.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 a c)

Outputs
(/.f64 a c)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
41.2%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
41.2%	1	`b`
41.2%	1	`d`
41.2%	1	`a`
41.2%	1	`c`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch75.0ms (0.8%)

Memory

-22.5MiB live, 110.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	4.075657250369231e+143	3.0956538281012637e+147
25.0ms	3.623278252523246e-155	3.41691581976702e-144
12.0ms	-1.2103364024066136e-74	-2.0965111080118308e-79
18.0ms	-3.26062153152367e+113	-1.7976611695625933e+110

Samples

51.0ms

544×

valid

Compiler

Compiled 1 314 to 664 computations (49.5% saved)

Precisions

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

ival-mult: 29.0ms (78% of total)

ival-add: 4.0ms (10.8% of total)

ival-div: 3.0ms (8.1% of total)

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

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

bsearch60.0ms (0.7%)

Memory

34.5MiB live, 110.2MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	7.122578895894498e+98	1.0840421702404067e+108
15.0ms	3.623278252523246e-155	3.41691581976702e-144
15.0ms	-1.2103364024066136e-74	-2.0965111080118308e-79
9.0ms	-2.964740835418396e+100	-2.0684995996643598e+99

Samples

38.0ms

528×

valid

Compiler

Compiled 1 045 to 612 computations (41.4% saved)

Precisions

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

ival-mult: 16.0ms (65.5% of total)

ival-add: 4.0ms (16.4% of total)

ival-div: 3.0ms (12.3% of total)

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

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

bsearch60.0ms (0.7%)

Memory

-9.3MiB live, 111.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	7.122578895894498e+98	1.0840421702404067e+108
16.0ms	3.623278252523246e-155	3.41691581976702e-144
12.0ms	-1.2103364024066136e-74	-2.0965111080118308e-79
12.0ms	-2.964740835418396e+100	-2.0684995996643598e+99

Samples

38.0ms

528×

valid

Compiler

Compiled 1 045 to 612 computations (41.4% saved)

Precisions

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

ival-mult: 14.0ms (57.4% of total)

ival-div: 6.0ms (24.6% of total)

ival-add: 4.0ms (16.4% of total)

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

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

bsearch80.0ms (0.9%)

Memory

-19.0MiB live, 20.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.4509526663965322e-95	1.764528732023321e-95
75.0ms	-5.997841653453756e-24	-4.909827181860829e-29

Samples

73.0ms

176×

valid

Compiler

Compiled 308 to 194 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 66.0ms (96.8% of total)

ival-div: 1.0ms (1.5% of total)

ival-add: 1.0ms (1.5% of total)

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

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

bsearch19.0ms (0.2%)

Memory

32.8MiB live, 32.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.4509526663965322e-95	1.764528732023321e-95
14.0ms	-5.997841653453756e-24	-4.909827181860829e-29

Samples

12.0ms

176×

valid

Compiler

Compiled 308 to 194 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (57.2% of total)

ival-div: 1.0ms (14.3% of total)

ival-add: 1.0ms (14.3% of total)

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

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

bsearch34.0ms (0.4%)

Memory

-18.7MiB live, 61.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.1009570740845186e+59	3.371711506955427e+75
15.0ms	-3.3929077072295242e+31	-1.2291723056501601e+28

Samples

22.0ms

288×

valid

Compiler

Compiled 400 to 270 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (65.9% of total)

ival-div: 2.0ms (14.6% of total)

ival-add: 2.0ms (14.6% of total)

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

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

bsearch59.0ms (0.6%)

Memory

-6.0MiB live, 32.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	2.1009570740845186e+59	3.371711506955427e+75
14.0ms	-1.2291723056501601e+28	-7.653001388937024e+22

Samples

47.0ms

304×

valid

Compiler

Compiled 326 to 246 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 30.0ms (77% of total)

ival-mult: 7.0ms (18% of total)

ival-div: 2.0ms (5.1% of total)

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

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

simplify10.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not_binary32`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	307
1	96	307

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -69999999999999999380369500325950945782756732848832608653720322744836148723899612970773196669540881318964770111488 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7170366636697391/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))) (if (<=.f64 d #s(literal 2671230065510023/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 6099999999999999711617497681394420871065597087398132681644843403417108449818891021631304187489104494193009457944615630344963107617021399320756224 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -3000000000000000144842117940566207686481337910359529749054740219931327694241734805189255256017469440 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal -458903464748633/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 3655367458066347/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 160000000000000000306508013717546997794552820362430721784448562335900691872638200953797783217308851765248 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) (fma.f64 d d (.f64 c c))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -8199999999999999586456417276827188126606529111849836879746773662754161842672237742973845530944208896 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal -1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 6132688940335005/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -3266710722441009/680564733841876926926749214863536422912 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal 5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 d #s(literal -7526501504504085/696898287454081973172991196020261297061888 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 c #s(literal -245000000000000006279107969024 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 519999999999999961091569875100759347685003335500732235932513171668992 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c)))
(if (<=.f64 c #s(literal -2899999999999999790284800 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 3200000000000000112070389950181157537474570169545978419355844608 binary64)) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Outputs
(if (<=.f64 d #s(literal -69999999999999999380369500325950945782756732848832608653720322744836148723899612970773196669540881318964770111488 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7170366636697391/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))) (if (<=.f64 d #s(literal 2671230065510023/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 6099999999999999711617497681394420871065597087398132681644843403417108449818891021631304187489104494193009457944615630344963107617021399320756224 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -3000000000000000144842117940566207686481337910359529749054740219931327694241734805189255256017469440 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal -458903464748633/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 3655367458066347/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 160000000000000000306508013717546997794552820362430721784448562335900691872638200953797783217308851765248 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) (fma.f64 d d (.f64 c c))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -3000000000000000144842117940566207686481337910359529749054740219931327694241734805189255256017469440 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal -458903464748633/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 3655367458066347/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 160000000000000000306508013717546997794552820362430721784448562335900691872638200953797783217308851765248 binary64)) (/.f64 (fma.f64 d b (.f64 a c)) (fma.f64 d d (.f64 c c))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -8199999999999999586456417276827188126606529111849836879746773662754161842672237742973845530944208896 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal -1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 6132688940335005/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -8199999999999999586456417276827188126606529111849836879746773662754161842672237742973845530944208896 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal -1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 6132688940335005/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -3266710722441009/680564733841876926926749214863536422912 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal 5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 d #s(literal -7526501504504085/696898287454081973172991196020261297061888 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 c #s(literal -245000000000000006279107969024 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 519999999999999961091569875100759347685003335500732235932513171668992 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c)))
(if (<=.f64 c #s(literal -2899999999999999790284800 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 3200000000000000112070389950181157537474570169545978419355844608 binary64)) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

soundness745.0ms (8.2%)

Memory

-21.4MiB live, 576.9MiB allocated

Rules

10 288×	`accelerator-lowering-fma.f32`
10 288×	`accelerator-lowering-fma.f64`
7 676×	`accelerator-lowering-fma.f32`
7 676×	`accelerator-lowering-fma.f64`
6 400×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1356
1	618	1346
2	1892	1322
3	5763	1320
0	8185	1190
0	16	92
1	91	92
2	726	92
0	8273	82
0	303	4230
1	971	4178
2	3015	4104
0	8040	3794
0	11	32
1	51	32
2	428	32
3	5062	32
0	8752	28

Stop Event

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

Compiler

Compiled 667 to 279 computations (58.2% saved)

preprocess69.0ms (0.8%)

Memory: 28.5MiB live, 147.7MiB allocated
Compiler: Compiled 762 to 232 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	100
1	44	98
2	61	98
3	93	98
4	111	98
5	173	98
6	179	98
7	190	98
8	213	98
9	264	98
10	326	98
11	346	98
12	383	98
13	415	98
14	424	98
0	424	92

Iter	Nodes	Cost
0	22	100
1	44	98
2	61	98
3	93	98
4	111	98
5	173	98
6	179	98
7	190	98
8	213	98
9	264	98
10	326	98
11	346	98
12	383	98
13	415	98
14	424	98
0	424	92

analyze35.0ms (0.4%)

sample1.1s (12.2%)

preprocess329.0ms (3.6%)

explain138.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize32.0ms (0.4%)

series14.0ms (0.2%)

rewrite355.0ms (3.9%)

simplify302.0ms (3.3%)

eval56.0ms (0.6%)

prune77.0ms (0.8%)

simplify6.0ms (0.1%)

localize77.0ms (0.8%)

series37.0ms (0.4%)

rewrite757.0ms (8.3%)

simplify692.0ms (7.6%)

eval352.0ms (3.9%)

prune266.0ms (2.9%)

simplify303.0ms (3.3%)

localize84.0ms (0.9%)

series39.0ms (0.4%)

rewrite656.0ms (7.2%)

simplify391.0ms (4.3%)

eval209.0ms (2.3%)

prune210.0ms (2.3%)

simplify25.0ms (0.3%)

localize68.0ms (0.7%)

series75.0ms (0.8%)

rewrite317.0ms (3.5%)

simplify395.0ms (4.3%)

eval168.0ms (1.8%)

prune148.0ms (1.6%)

regimes64.0ms (0.7%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes24.0ms (0.3%)

regimes8.0ms (0.1%)

regimes18.0ms (0.2%)

regimes38.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch75.0ms (0.8%)

bsearch60.0ms (0.7%)

bsearch60.0ms (0.7%)

bsearch80.0ms (0.9%)

bsearch19.0ms (0.2%)

bsearch34.0ms (0.4%)

bsearch59.0ms (0.6%)

simplify10.0ms (0.1%)

soundness745.0ms (8.2%)

preprocess69.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	100
1	44	98
2	61	98
3	93	98
4	111	98
5	173	98
6	179	98
7	190	98
8	213	98
9	264	98
10	326	98
11	346	98
12	383	98
13	415	98
14	424	98
0	424	92