Metrics for Complex division, real part

analyze25.0ms (0.2%)

Memory

-3.2MiB live, 34.8MiB 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)

sample3.3s (27.8%)

Memory

28.1MiB live, 1 134.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 848.0ms

ival-add: 480.0ms (56.6% of total)

ival-mult: 276.0ms (32.6% of total)

ival-div: 82.0ms (9.7% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess337.0ms (2.9%)

Memory

-14.5MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain392.0ms (3.3%)

Memory

7.5MiB live, 167.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
106	-	2	(-4.818642827344395e+90 8.132744681999532e-192 3.784983538500517e-157 -5.373588015993348e-266)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
2	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	43	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	122
↳	`(*.f64 c c)`	overflow	60
↳	`(*.f64 d d)`	overflow	78
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	41	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	57
↳	`(*.f64 a c)`	overflow	25
↳	`(*.f64 b d)`	overflow	38
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	122
↳	`(*.f64 c c)`	overflow	60
↳	`(*.f64 d d)`	overflow	78
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	16	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	57
↳	`(*.f64 a c)`	overflow	25
↳	`(*.f64 b d)`	overflow	38
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	4	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	9
↳	`(*.f64 c c)`	underflow	59
↳	`(*.f64 d d)`	underflow	63
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	2	0
↳	`(*.f64 a c)`	overflow	25
↳	`(*.f64 b d)`	overflow	38

Confusion

	Predicted +	Predicted -
+	104	2
-	0	150

Precision

1.0

Recall

0.9811320754716981

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	104	0	2
-	0	0	150

Precision?

1.0

Recall?

0.9811320754716981

Freqs

test

number	freq
0	152
1	102
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

139.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-div: 104.0ms (85.9% of total)

ival-mult: 13.0ms (10.7% of total)

ival-add: 4.0ms (3.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify5.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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×	`lower-fma.f64`
12×	`lower-fma.f32`
12×	`lower-*.f32`
8×	`lift-*.f64`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (0.9%)

Memory

-14.6MiB live, 38.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.2%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	61.2%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

101.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 88.0ms (95.8% of total)

ival-div: 2.0ms (2.2% of total)

ival-add: 2.0ms (2.2% of total)

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

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

series13.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 c c) (.f64 d d))>
#<alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))>
#<alt (*.f64 a c)>
#<alt (*.f64 b d)>

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)>
#<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)>

Calls

42 calls:

Time	Variable		Point	Expression
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)))
0.0ms	b	@	0	(+ (* a c) (* b d))

rewrite547.0ms (4.6%)

Memory

17.4MiB live, 429.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 346

Calls

Call 1

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

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

simplify334.0ms (2.8%)

Memory

-22.8MiB live, 512.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 676×	`lower-fma.f64`
7 676×	`lower-fma.f32`
4 326×	`lower-*.f64`
4 326×	`lower-*.f32`
1 822×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1892	1394
3	5763	1392
0	8185	1262

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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)
(* 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)

eval78.0ms (0.7%)

Memory: 7.9MiB live, 120.2MiB allocated
Compiler: Compiled 17 707 to 1 042 computations (94.1% saved)

prune166.0ms (1.4%)

Memory

-1.4MiB live, 160.1MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	500	14	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	501	14	515

Accuracy

99.6%

Counts

515 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.9%	(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (.f64 d (.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
▶	46.1%	(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
	50.6%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
	56.8%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
▶	60.9%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	51.5%	(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d)
	45.8%	(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (.f64 d (neg.f64 a)) c) (.f64 b d)) c)) c)
	12.7%	(/.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 #s(literal -1 binary64) (fma.f64 c c (.f64 d d)))) (neg.f64 (fma.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 b d)) (.f64 b (.f64 b (*.f64 d d))))))
	44.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a c) (.f64 b d))) (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 c c) (*.f64 d d)))
▶	39.2%	(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
	41.9%	(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
	44.6%	(/.f64 b d)
▶	40.8%	(/.f64 a c)
	60.1%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))

Compiler

Compiled 546 to 286 computations (47.6% saved)

simplify691.0ms (5.9%)

Memory

-2.5MiB live, 330.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

6 208×	`lower-fma.f32`
6 198×	`lower-fma.f64`
2 832×	`lower-*.f32`
2 822×	`lower-*.f64`
1 478×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	165
0	44	165
1	69	165
2	108	161
3	202	157
4	319	157
5	432	157
6	633	157
7	919	157
8	1295	157
9	1936	157
10	3545	157
11	5055	157
12	5665	157
13	5809	157
14	5844	157
15	5856	157
16	6004	157
17	6282	157
18	6418	157
19	6421	157
20	6423	157
21	6427	157
22	6427	157
23	7172	157
24	7508	157
25	7622	157
0	8036	155

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1%)

Memory

-6.1MiB live, 153.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d)
✓	accuracy	94.7%	(/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)
✓	accuracy	91.1%	(fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c))
✓	accuracy	89.3%	(/.f64 (*.f64 c (neg.f64 c)) d)
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	90.8%	(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
✓	accuracy	89.3%	(/.f64 d (*.f64 c c))
✓	accuracy	100.0%	(fma.f64 d d (*.f64 c c))
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	70.3%	(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	100.0%	(*.f64 d d)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	61.2%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Samples

82.0ms

256×

valid

Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions

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

ival-mult: 22.0ms (55.4% of total)

ival-div: 11.0ms (27.7% of total)

ival-add: 6.0ms (15.1% of total)

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

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

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

series93.0ms (0.8%)

Memory

-14.6MiB live, 64.3MiB allocated

Counts

16 → 540

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))>
#<alt (fma.f64 a c (*.f64 b d))>
#<alt (*.f64 b d)>
#<alt (fma.f64 c c (*.f64 d d))>
#<alt (/.f64 a c)>
#<alt (/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))>
#<alt (fma.f64 d d (*.f64 c c))>
#<alt (*.f64 c c)>
#<alt (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))>
#<alt (/.f64 d (*.f64 c c))>
#<alt (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c))>
#<alt (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d))>
#<alt (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)) d)>
#<alt (/.f64 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 a c)) d)>
#<alt (*.f64 d d)>
#<alt (/.f64 (*.f64 c (neg.f64 c)) d)>

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

Calls

135 calls:

Time	Variable		Point	Expression
18.0ms	d	@	0	(/ d (* c c))
3.0ms	b	@	0	(+ (* b (/ (* c (neg c)) d)) (* a c))
1.0ms	b	@	0	(/ (* b d) (+ (* d d) (* c c)))
1.0ms	b	@	inf	(/ (* b d) (+ (* d d) (* c c)))
1.0ms	a	@	0	(+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d))

rewrite431.0ms (3.7%)

Memory

29.2MiB live, 622.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 010×	`lower-/.f32`
4 996×	`lower-/.f64`
4 582×	`lower-fma.f32`
4 572×	`lower-fma.f64`
4 484×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	130
0	44	130
1	186	130
2	1511	130
0	8197	130

Stop Event

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

Counts

16 → 685

Calls

Call 1

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

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

simplify412.0ms (3.5%)

Memory

13.5MiB live, 765.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 302×	`lower-fma.f64`
10 302×	`lower-fma.f32`
5 638×	`lower-*.f64`
5 638×	`lower-*.f32`
2 088×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	6085
1	1484	5803
2	4740	5653
0	8224	5429

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 537

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

eval164.0ms (1.4%)

Memory: -13.0MiB live, 303.1MiB allocated
Compiler: Compiled 28 192 to 2 314 computations (91.8% saved)

prune141.0ms (1.2%)

Memory

3.7MiB live, 321.5MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 308	14	1 322
Fresh	5	4	9
Picked	3	2	5
Done	0	0	0
Total	1 316	20	1 336

Accuracy

99.7%

Counts

1 336 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	48.5%	(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (/.f64 a c))
	49.0%	(fma.f64 b (/.f64 (/.f64 d c) c) (/.f64 a c))
▶	46.3%	(fma.f64 a (/.f64 (.f64 b d) (.f64 c (*.f64 c a))) (/.f64 a c))
	50.6%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
	34.9%	(/.f64 (fma.f64 b d (.f64 c a)) (.f64 c c))
▶	56.8%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓	60.9%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
	35.6%	(/.f64 (fma.f64 a c (.f64 b d)) (.f64 d d))
	24.2%	(/.f64 (/.f64 (*.f64 c a) d) d)
	53.8%	(/.f64 (+.f64 b (/.f64 (.f64 c (-.f64 a (.f64 b (/.f64 c d)))) d)) d)
▶	41.9%	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
	53.4%	(/.f64 (.f64 b (fma.f64 c (/.f64 a b) d)) (fma.f64 c c (.f64 d d)))
	20.1%	(/.f64 (.f64 b d) (.f64 c c))
▶	44.6%	(/.f64 b d)
✓	40.8%	(/.f64 a c)
▶	60.1%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
	42.6%	(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
	53.7%	(.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (fma.f64 c (.f64 (/.f64 (neg.f64 c) d) b) (*.f64 a c)) d)))
	21.8%	(.f64 c (/.f64 a (.f64 d d)))

Compiler

Compiled 548 to 322 computations (41.2% saved)

simplify270.0ms (2.3%)

Memory

-22.1MiB live, 272.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 c (.f64 c a))
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(/.f64 (.f64 b d) (.f64 c (*.f64 c a)))
✓	cost-diff	960	(fma.f64 a (/.f64 (.f64 b d) (.f64 c (*.f64 c a))) (/.f64 a c))
✓	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)
✓	cost-diff	0	(*.f64 d d)
✓	cost-diff	0	(fma.f64 c c (*.f64 d d))
✓	cost-diff	0	(*.f64 c a)
✓	cost-diff	0	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
✓	cost-diff	0	(/.f64 b d)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (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	320	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))

Rules

5 068×	`lower-*.f32`
5 058×	`lower-*.f64`
3 172×	`lower-/.f32`
3 158×	`lower-/.f64`
2 976×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	138
0	41	138
1	70	136
2	149	136
3	371	133
4	666	133
5	1904	133
6	2384	131
7	2539	131
8	2656	131
9	2725	131
10	2782	131
11	2807	131
12	3169	131
13	3210	131
14	3222	131
15	3222	131
16	3245	131
17	3284	131
18	3334	131
19	3365	131
20	3404	131
21	5435	131
22	5448	131
23	5453	131
24	5507	131
25	5507	131
26	5767	131
27	6080	131
28	6220	131
29	6233	131
30	7668	131
31	7668	131
32	7668	131
0	8969	130

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (0.9%)

Memory

9.2MiB live, 88.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	99.8%	(.f64 c (.f64 c a))
✓	accuracy	91.5%	(fma.f64 a (/.f64 (.f64 b d) (.f64 c (*.f64 c a))) (/.f64 a c))
✓	accuracy	87.1%	(/.f64 (.f64 b d) (.f64 c (*.f64 c a)))
✓	accuracy	100.0%	(/.f64 c d)
✓	accuracy	99.2%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓	accuracy	93.9%	(fma.f64 a (/.f64 c d) b)
✓	accuracy	100.0%	(fma.f64 c c (*.f64 d d))
✓	accuracy	100.0%	(*.f64 d d)
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	76.5%	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
✓	accuracy	61.5%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))

Samples

47.0ms

256×

valid

Compiler

Compiled 150 to 27 computations (82% saved)

Precisions

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

ival-mult: 13.0ms (45.5% of total)

ival-div: 11.0ms (38.5% of total)

ival-add: 4.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.3%)

Memory

4.2MiB live, 41.5MiB allocated

Counts

15 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
6.0ms	c	@	0	(/ (* c a) (+ (* c c) (* d d)))
2.0ms	a	@	-inf	(+ (* a (/ c d)) b)
1.0ms	c	@	0	(/ 1 (+ (* c c) (* d d)))
1.0ms	a	@	inf	(/ (* b d) (* c (* c a)))
1.0ms	b	@	0	(/ (* b d) (* c (* c a)))

rewrite550.0ms (4.7%)

Memory

11.3MiB live, 375.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 488×	`lower-/.f32`
5 474×	`lower-/.f64`
4 568×	`lower-fma.f32`
4 560×	`lower-fma.f64`
4 516×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	102
0	41	100
1	170	100
2	1294	100
0	8481	100

Stop Event

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

Counts

15 → 770

Calls

Call 1

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

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

simplify394.0ms (3.3%)

Memory

10.0MiB live, 435.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 124×	`lower-fma.f64`
10 124×	`lower-fma.f32`
5 212×	`lower-*.f64`
5 212×	`lower-*.f32`
2 694×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	4702
1	1332	4648
2	4108	4595
0	8136	4364

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 498

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

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 c (/.f64 a (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 c (/.f64 a (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 c (/.f64 a (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 (/.f64 a (.f64 d d)) (.f64 c (/.f64 b (.f64 d (.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 (fma.f64 c (neg.f64 (fma.f64 c (/.f64 a (.f64 (.f64 d d) (.f64 d d))) (/.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 d (/.f64 b 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)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (.f64 d (.f64 d d)) (.f64 c c))) (-.f64 a (/.f64 (.f64 (.f64 d d) a) (.f64 c c)))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (.f64 b d) (/.f64 (.f64 (*.f64 d d) a) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (.f64 b d) (/.f64 (fma.f64 b (/.f64 (.f64 d (.f64 d d)) c) (.f64 (*.f64 d d) a)) c)) 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) (+ (pow c 2) (pow d 2))))
(fma.f64 c (/.f64 a (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 c (/.f64 a (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 c (/.f64 a (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 c (/.f64 a (.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 c (/.f64 a (.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 c (/.f64 a (.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 c (/.f64 a (.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 c (/.f64 a (.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 c (/.f64 a (.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 d (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 (fma.f64 d (/.f64 a (.f64 c (.f64 c (neg.f64 c)))) (/.f64 b (*.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 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 c a)) 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 b (fma.f64 (neg.f64 c) (/.f64 c (.f64 d d)) #s(literal 1 binary64)) (/.f64 (.f64 a (fma.f64 (.f64 c (neg.f64 c)) (/.f64 c (.f64 d d)) c)) d)) 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 (fma.f64 b (/.f64 (.f64 c (neg.f64 c)) d) (.f64 c a)) 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 a (/.f64 (.f64 c (.f64 c c)) d) (.f64 b (*.f64 c c))) d)) d)) d)
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(* a c)
(*.f64 c a)
(* 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 c a)
(* -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 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(* a c)
(*.f64 c a)
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 d (/.f64 b c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 d (/.f64 b c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 d (/.f64 b c) a))
(* a c)
(*.f64 c a)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (fma.f64 d (/.f64 b c) a))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (fma.f64 d (/.f64 b c) a))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (fma.f64 d (/.f64 b c) a))
(* a c)
(*.f64 c a)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 c (/.f64 a b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 c (/.f64 a b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 c (/.f64 a b) d))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (fma.f64 c (/.f64 a b) d))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (fma.f64 c (/.f64 a b) d))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (fma.f64 c (/.f64 a b) d))
(* a c)
(*.f64 c a)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
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eval208.0ms (1.8%)

Memory: -8.1MiB live, 270.0MiB allocated
Compiler: Compiled 29 859 to 2 404 computations (91.9% saved)

prune149.0ms (1.3%)

Memory

6.5MiB live, 281.0MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 401	8	1 409
Fresh	3	10	13
Picked	2	3	5
Done	0	2	2
Total	1 406	23	1 429

Accuracy

99.7%

Counts

1 429 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (/.f64 a c))
	49.0%	(fma.f64 b (/.f64 (/.f64 d c) c) (/.f64 a c))
	48.9%	(/.f64 (fma.f64 d (/.f64 b c) a) c)
▶	56.5%	(/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)
	50.6%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
	34.9%	(/.f64 (fma.f64 b d (.f64 c a)) (.f64 c c))
✓	56.8%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓	60.9%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	35.6%	(/.f64 (fma.f64 a c (.f64 b d)) (.f64 d d))
	24.2%	(/.f64 (/.f64 (*.f64 c a) d) d)
	53.8%	(/.f64 (+.f64 b (/.f64 (.f64 c (-.f64 a (.f64 b (/.f64 c d)))) d)) d)
✓	41.9%	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
▶	22.3%	(/.f64 (.f64 c a) (.f64 d d))
	20.1%	(/.f64 (.f64 b d) (.f64 c c))
✓	44.6%	(/.f64 b d)
✓	40.8%	(/.f64 a c)
	44.3%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
	42.6%	(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
▶	44.5%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
	21.8%	(.f64 c (/.f64 a (.f64 d d)))
	20.7%	(.f64 b (/.f64 d (.f64 c c)))
▶	43.7%	(.f64 a (.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
	22.0%	(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64)))

Compiler

Compiled 515 to 322 computations (37.5% saved)

simplify413.0ms (3.5%)

Memory

-1.3MiB live, 520.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

13 194×	`lower-fma.f32`
13 188×	`lower-fma.f64`
7 120×	`lower-*.f32`
7 104×	`lower-*.f64`
2 068×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	127
0	39	127
1	71	113
2	109	113
3	181	113
4	213	113
5	292	113
6	334	113
7	357	113
8	417	113
9	474	113
10	603	113
11	1221	113
12	1821	113
13	2059	113
14	2530	113
15	3611	113
16	4627	113
17	5781	113
18	7687	113
0	8140	113

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (0.7%)

Memory

4.2MiB live, 157.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
✓	accuracy	95.9%	(.f64 a (.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
✓	accuracy	73.7%	(.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (.f64 c c))))
✓	accuracy	100.0%	(*.f64 d d)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	72.6%	(/.f64 (fma.f64 a c (.f64 b d)) (.f64 d d))
✓	accuracy	100.0%	(*.f64 d d)
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	85.3%	(/.f64 (.f64 c a) (.f64 d d))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) d)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) d)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) d) a)
✓	accuracy	99.2%	(/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) d)
✓	accuracy	94.5%	(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b)

Samples

45.0ms

256×

valid

Compiler

Compiled 137 to 25 computations (81.8% saved)

Precisions

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

ival-mult: 17.0ms (58.3% of total)

ival-div: 8.0ms (27.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

-5.5MiB live, 33.7MiB allocated

Counts

16 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
0.0ms	c	@	inf	(/ (* c a) (* d d))
0.0ms	c	@	0	(/ (* c a) (* d d))
0.0ms	a	@	0	(/ (* c a) (* d d))
0.0ms	a	@	inf	(/ (* c a) (* d d))
0.0ms	d	@	inf	(* c (/ 1 (+ (* d d) (* c c))))

rewrite348.0ms (3%)

Memory

4.3MiB live, 462.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 132×	`lower-fma.f32`
8 126×	`lower-fma.f64`
6 200×	`lower-*.f32`
6 184×	`lower-*.f64`
4 016×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	102
0	39	98
1	146	90
2	914	90
0	8338	90

Stop Event

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

Counts

16 → 991

Calls

Call 1

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

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

simplify328.0ms (2.8%)

Memory

-11.1MiB live, 425.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 280×	`lower-fma.f64`
10 280×	`lower-fma.f32`
5 184×	`lower-*.f64`
5 184×	`lower-*.f32`
3 024×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	4020
1	1001	3964
2	2947	3909
0	8367	3750

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 462

Calls

Call 1

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

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

eval173.0ms (1.5%)

Memory: 9.4MiB live, 269.9MiB allocated
Compiler: Compiled 31 921 to 2 784 computations (91.3% saved)

prune449.0ms (3.8%)

Memory

-133.2MiB live, 361.8MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	1 505	8	1 513
Fresh	1	12	13
Picked	2	3	5
Done	0	5	5
Total	1 508	28	1 536

Accuracy

99.7%

Counts

1 536 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (/.f64 a c))
	49.0%	(fma.f64 b (/.f64 (/.f64 d c) c) (/.f64 a c))
	48.9%	(/.f64 (fma.f64 d (/.f64 b c) a) c)
	50.6%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
	34.9%	(/.f64 (fma.f64 b d (.f64 c a)) (.f64 c c))
✓	56.8%	(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓	60.9%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
✓	35.6%	(/.f64 (fma.f64 a c (.f64 b d)) (.f64 d d))
	24.2%	(/.f64 (/.f64 (*.f64 c a) d) d)
	53.8%	(/.f64 (+.f64 b (/.f64 (.f64 c (-.f64 a (.f64 b (/.f64 c d)))) d)) d)
✓	41.9%	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
✓	22.3%	(/.f64 (.f64 c a) (.f64 d d))
	20.1%	(/.f64 (.f64 b d) (.f64 c c))
	24.7%	(/.f64 (*.f64 a (/.f64 c d)) d)
	24.5%	(/.f64 (neg.f64 c) (*.f64 (/.f64 d a) (neg.f64 d)))
✓	44.6%	(/.f64 b d)
✓	40.8%	(/.f64 a c)
	44.3%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
	44.3%	(/.f64 #s(literal 1 binary64) (.f64 d (/.f64 d (fma.f64 d b (.f64 a c)))))
	42.6%	(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
	21.7%	(.f64 (/.f64 c (.f64 d d)) a)
	24.0%	(*.f64 (/.f64 c d) (/.f64 a d))
	21.8%	(.f64 (/.f64 a (.f64 d d)) c)
	22.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (*.f64 a c))
✓	44.5%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
	21.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) c) a)
	20.7%	(.f64 b (/.f64 d (.f64 c c)))
	22.0%	(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64)))

Compiler

Compiled 864 to 357 computations (58.7% saved)

regimes75.0ms (0.6%)

Memory

12.2MiB live, 123.0MiB allocated

Counts

45 → 4

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	d
15.0ms	c
14.0ms	a
12.0ms	b
11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
69.3%	4	`a`
68.6%	3	`b`
83.7%	5	`c`
88.1%	4	`d`
75.5%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes15.0ms (0.1%)

Memory

1.6MiB live, 33.7MiB allocated

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
87.3%	4	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(.f64 b (/.f64 d (.f64 c c)))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 a (.f64 d d)) c)
(.f64 (/.f64 c (.f64 d d)) a)
(/.f64 (.f64 b d) (.f64 c c))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) c) a)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (*.f64 a c))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(/.f64 (.f64 a c) (fma.f64 d d (.f64 c c)))
(/.f64 (*.f64 a (/.f64 c d)) d)
(/.f64 (.f64 b d) (fma.f64 d d (.f64 c c)))
(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (.f64 b d)) (.f64 d d))
(/.f64 (fma.f64 b d (.f64 c a)) (.f64 c c))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (neg.f64 c) (*.f64 (/.f64 d a) (neg.f64 d)))
(.f64 a (.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c 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
84.9%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.2%)

Memory

-12.7MiB live, 30.6MiB allocated

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	d
6.0ms	c

Results

Accuracy	Segments	Branch
76.1%	3	`c`
77.4%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes19.0ms (0.2%)

Memory

-3.1MiB live, 35.7MiB allocated

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.7%	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
65.9%	3	`c`
71.4%	3	`d`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 a c)

Outputs
(/.f64 a c)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
40.8%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
40.8%	1	`c`
40.8%	1	`a`
40.8%	1	`b`
40.8%	1	`d`

Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch87.0ms (0.7%)

Memory

-26.9MiB live, 51.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.3829993125656152e+41	3.869993727817151e+46
14.0ms	8.317258714314257e-162	1.2480436221886977e-155
31.0ms	-1.812401254275551e+94	-3.1809697722632203e+93

Samples

45.0ms

384×

valid

Compiler

Compiled 766 to 468 computations (38.9% saved)

Precisions

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

ival-add: 24.0ms (66.9% of total)

ival-mult: 9.0ms (25.1% of total)

ival-div: 2.0ms (5.6% of total)

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

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

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.3829993125656152e+41	3.869993727817151e+46
1.0ms	8.317258714314257e-162	1.2480436221886977e-155
0.0ms	-1.812401254275551e+94	-3.1809697722632203e+93

Compiler

Compiled 736 to 438 computations (40.5% saved)

bsearch15.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	41.79270093677291	100994.58879924497
0.0ms	-1.812401254275551e+94	-3.1809697722632203e+93

Samples

8.0ms

128×

valid

Compiler

Compiled 386 to 242 computations (37.3% saved)

Precisions

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

ival-mult: 3.0ms (61% of total)

ival-div: 1.0ms (20.3% of total)

ival-add: 1.0ms (20.3% of total)

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

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

bsearch30.0ms (0.3%)

Memory

-4.0MiB live, 36.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.1280551030574617e-45	5.534015499150701e-41
15.0ms	-1.4868280128605948e-9	-3.1107328644228726e-11

Samples

19.0ms

240×

valid

Compiler

Compiled 337 to 228 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (75.3% of total)

ival-add: 2.0ms (15.1% of total)

ival-div: 1.0ms (7.5% of total)

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

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

bsearch4.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.1280551030574617e-45	5.534015499150701e-41
0.0ms	-1.812401254275551e+94	-3.1809697722632203e+93

Samples

2.0ms

32×

valid

Compiler

Compiled 246 to 186 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (83.6% of total)

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

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

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

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

simplify8.0ms (0.1%)

Memory

-23.4MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	181
1	53	181

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d) (if (<=.f64 d #s(literal 7110749042351755/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 37500000000000001644219114190357400798776786944 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))))
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 7110749042351755/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 37500000000000001644219114190357400798776786944 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 51 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 d #s(literal -5996272065288561/9671406556917033397649408 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 451951324947841/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 a c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 8637291987892073/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

Outputs
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d) (if (<=.f64 d #s(literal 7110749042351755/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 37500000000000001644219114190357400798776786944 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))))
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d) (if (<=.f64 d #s(literal 7110749042351755/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 37500000000000001644219114190357400798776786944 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 c (.f64 (/.f64 #s(literal 1 binary64) d) a) b) d))))
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 7110749042351755/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 37500000000000001644219114190357400798776786944 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 7110749042351755/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 37500000000000001644219114190357400798776786944 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 51 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 d #s(literal -5996272065288561/9671406556917033397649408 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 451951324947841/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 a c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 d #s(literal -3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 8637291987892073/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

soundness550.0ms (4.7%)

Memory

-20.5MiB live, 444.7MiB allocated

Rules

7 676×	`lower-fma.f64`
7 676×	`lower-fma.f32`
5 970×	`lower-fma.f64`
5 970×	`lower-fma.f32`
5 488×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	102
0	41	100
1	170	100
2	1294	100
0	8481	100
0	186	1428
1	618	1418
2	1892	1394
3	5763	1392
0	8185	1262
0	11	35
0	18	35
1	58	35
2	435	35
3	5073	35
0	8760	31

Stop Event

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

Compiler

Compiled 403 to 156 computations (61.3% saved)

preprocess85.0ms (0.7%)

Memory: 1.5MiB live, 110.8MiB allocated
Compiler: Compiled 488 to 158 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze25.0ms (0.2%)

sample3.3s (27.8%)

preprocess337.0ms (2.9%)

explain392.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize111.0ms (0.9%)

series13.0ms (0.1%)

rewrite547.0ms (4.6%)

simplify334.0ms (2.8%)

eval78.0ms (0.7%)

prune166.0ms (1.4%)

simplify691.0ms (5.9%)

localize119.0ms (1%)

series93.0ms (0.8%)

rewrite431.0ms (3.7%)

simplify412.0ms (3.5%)

eval164.0ms (1.4%)

prune141.0ms (1.2%)

simplify270.0ms (2.3%)

localize101.0ms (0.9%)

series31.0ms (0.3%)

rewrite550.0ms (4.7%)

simplify394.0ms (3.3%)

eval208.0ms (1.8%)

prune149.0ms (1.3%)

simplify413.0ms (3.5%)

localize82.0ms (0.7%)

series17.0ms (0.1%)

rewrite348.0ms (3%)

simplify328.0ms (2.8%)

eval173.0ms (1.5%)

prune449.0ms (3.8%)

regimes75.0ms (0.6%)

regimes15.0ms (0.1%)

regimes9.0ms (0.1%)

regimes24.0ms (0.2%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch87.0ms (0.7%)

bsearch2.0ms (0%)

bsearch15.0ms (0.1%)

bsearch30.0ms (0.3%)

bsearch4.0ms (0%)

simplify8.0ms (0.1%)

soundness550.0ms (4.7%)

preprocess85.0ms (0.7%)

end0.0ms (0%)

Profiling