Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze62.0ms (1%)

Memory

-6.2MiB live, 38.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (16.6%)

Memory

34.5MiB live, 1 259.2MiB allocated

Samples

768.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 489.0ms

ival-mult: 318.0ms (65% of total)

ival-add: 111.0ms (22.7% of total)

ival-div: 49.0ms (10% of total)

ival-true: 7.0ms (1.4% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain164.0ms (2.6%)

Memory

10.7MiB live, 255.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	2	(1.2754001965534695e-131 -2.7151352079967594e-115 -2.0369874087546537e-158 4.6913502985209627e-293)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
1	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	46	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	58
↳	`(*.f64 a c)`	overflow	29
↳	`(*.f64 b d)`	overflow	33
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	130
↳	`(*.f64 c c)`	overflow	71
↳	`(*.f64 d d)`	overflow	81
`/.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	130
↳	`(*.f64 c c)`	overflow	71
↳	`(*.f64 d d)`	overflow	81
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	12	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	58
↳	`(*.f64 a c)`	overflow	29
↳	`(*.f64 b d)`	overflow	33
`/.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	12
↳	`(*.f64 c c)`	underflow	58
↳	`(*.f64 d d)`	underflow	52
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	3
↳	`(*.f64 a c)`	underflow	28
↳	`(*.f64 b d)`	underflow	30
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	12
↳	`(*.f64 c c)`	underflow	58
↳	`(*.f64 d d)`	underflow	52
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	1	0
↳	`(*.f64 a c)`	overflow	29
↳	`(*.f64 b d)`	overflow	33

Confusion

	Predicted +	Predicted -
+	108	2
-	0	146

Precision

1.0

Recall

0.9818181818181818

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	108	0	2
-	0	0	146

Precision?

1.0

Recall?

0.9818181818181818

Freqs

test

number	freq
0	148
1	107
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

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

ival-add: 38.0ms (69.5% of total)

ival-mult: 13.0ms (23.8% of total)

ival-div: 3.0ms (5.5% of total)

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

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

preprocess96.0ms (1.5%)

Memory

-32.0MiB live, 63.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	214
1	202	210
2	487	210
3	889	210
4	1487	210
5	1833	210
0	11	15
0	18	15
1	38	15
2	100	15
3	198	15
4	310	15
5	435	15
6	441	15
0	441	13

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify9.0ms (0.1%)

Memory

11.6MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a c)
cost-diff	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
cost-diff	1	(+.f64 (.f64 c c) (.f64 d d))
cost-diff	1	(+.f64 (.f64 a c) (.f64 b d))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	18	45
1	38	45
2	100	45
3	198	45
4	310	45
5	435	45
6	441	45
0	441	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.6%)

Memory

-5.6MiB live, 40.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 b d)
accuracy	0.0	(*.f64 a c)
accuracy	0.2656229358302058	(+.f64 (.f64 a c) (.f64 b d))
accuracy	25.98363365347561	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

34.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 20.0ms (80.4% of total)

ival-div: 3.0ms (12.1% of total)

ival-add: 2.0ms (8% of total)

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

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

series15.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

5 → 43

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

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	d	@	-inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
2.0ms	b	@	-inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms	a	@	-inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms	a	@	0	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms	c	@	inf	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))

simplify855.0ms (13.4%)

Memory

-110.3MiB live, 151.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	623
1	667	571
2	2422	547
3	7277	547
0	8281	503

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 43

Calls

Call 1

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

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

rewrite131.0ms (2%)

Memory

-63.0MiB live, 136.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	18	35
1	69	35
2	592	35
0	9029	31

Stop Event

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

Counts

5 → 325

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 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) (-.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (.f64 c a)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 d b) (fma.f64 d b (*.f64 c a)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d)))) (.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))))) (+.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (fma.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))))))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 d b) (*.f64 (neg.f64 c) a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 d b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))) (fma.f64 c a (*.f64 (neg.f64 b) d)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (.f64 (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (.f64 (fma.f64 c a (.f64 (neg.f64 b) d)) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(/.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (.f64 d b) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (.f64 (neg.f64 b) d))))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 d b (*.f64 (neg.f64 c) a)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 d b) c) a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d))))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 9 binary64)) (pow.f64 (.f64 d b) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 d b) c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d))))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 9 binary64)) (pow.f64 (.f64 d b) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 d b) c) a) #s(literal 3 binary64))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (fma.f64 (neg.f64 c) a (*.f64 d b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 d b))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)))))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 d b) (fma.f64 d b (.f64 c a)))) (/.f64 (neg.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (.f64 c a)) (/.f64 (neg.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (.f64 (neg.f64 b) d))))
(fma.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) (-.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) (pow.f64 (.f64 c a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) (-.f64 (.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a))) (pow.f64 (.f64 c a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(fma.f64 d b (*.f64 (neg.f64 (neg.f64 a)) c))
(fma.f64 d b (neg.f64 (*.f64 (neg.f64 c) a)))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 (neg.f64 (neg.f64 a)) c))
(fma.f64 b d (neg.f64 (*.f64 (neg.f64 c) a)))
(fma.f64 b d (*.f64 c a))
(fma.f64 c a (*.f64 (neg.f64 d) (neg.f64 b)))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 (neg.f64 d) (neg.f64 b)))
(fma.f64 a c (*.f64 d b))
(-.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (.f64 (neg.f64 c) a))))
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(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 (neg.f64 d) (/.f64 b (fma.f64 d d (*.f64 c c)))))
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 (neg.f64 b) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
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(-.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (fma.f64 c a (.f64 (neg.f64 b) d)) (fma.f64 d d (.f64 c c)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (fma.f64 c a (.f64 (neg.f64 b) d)) (fma.f64 d d (.f64 c c)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (fma.f64 d d (.f64 c c))) (/.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 b) d))) (fma.f64 d d (.f64 c c))))
(-.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 (/.f64 (.f64 c a) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (neg.f64 c) c (*.f64 d d))))
(-.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 (/.f64 (.f64 c a) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (-.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(-.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 c) (/.f64 a (fma.f64 d d (.f64 c c)))))
(-.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 a) (/.f64 c (fma.f64 d d (.f64 c c)))))
(-.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))))
(-.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (neg.f64 c) c (*.f64 d d))))
(-.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (-.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(-.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 d) (/.f64 b (fma.f64 d d (.f64 c c)))))
(-.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 b) (/.f64 d (fma.f64 d d (.f64 c c)))))
(-.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 (.f64 c c) (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (.f64 (.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))))
(+.f64 (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 c c)) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 (neg.f64 d) d)))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))) (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) #s(literal 2 binary64)) (.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))))) (/.f64 (pow.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) #s(literal 2 binary64)) (.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))))))
(+.f64 (/.f64 (.f64 (.f64 c a) (fma.f64 d d (.f64 c c))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (fma.f64 d d (.f64 c c)) d) b) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c)))))
(+.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (.f64 c c)))))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (fma.f64 d d (.f64 c c))) (/.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (fma.f64 c a (.f64 (neg.f64 b) d)) (fma.f64 d d (.f64 c c)))) (/.f64 (neg.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (fma.f64 c a (.f64 (neg.f64 b) d)) (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))) (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (neg.f64 c) c (*.f64 d d))))
(+.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (-.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(+.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 d) (/.f64 b (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 b) (/.f64 d (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 c (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
(*.f64 c a)
(*.f64 a c)
(*.f64 d b)
(*.f64 b d)
(neg.f64 (*.f64 (neg.f64 b) d))

eval34.0ms (0.5%)

Memory: -4.7MiB live, 40.7MiB allocated
Compiler: Compiled 12 665 to 1 026 computations (91.9% saved)

prune15.0ms (0.2%)

Memory

-21.3MiB live, 25.8MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	335	17	352
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	336	17	353

Accuracy

99.5%

Counts

353 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.5%	(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
▶	59.0%	(/.f64 (fma.f64 c a (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
	44.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (.f64 c c))))
	33.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	54.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (.f64 c c) (*.f64 d d)))
	38.6%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	49.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
	49.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
	54.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
▶	54.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	40.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (.f64 b c) c (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d))
	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (.f64 d d) a (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c))
	48.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 (fma.f64 (/.f64 d a) b c) a) (fma.f64 d d (.f64 c c))))
	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	39.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
	41.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))

Compiler

Compiled 874 to 540 computations (38.2% saved)

simplify181.0ms (2.8%)

Memory

-1.1MiB live, 93.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d)
cost-diff	0	(/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
cost-diff	2	(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))
cost-diff	0	(*.f64 d b)
cost-diff	0	(fma.f64 c a (*.f64 d b))
cost-diff	0	(/.f64 (fma.f64 c a (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
cost-diff	1	(+.f64 (.f64 c c) (.f64 d d))
cost-diff	0	(/.f64 a d)
cost-diff	0	(fma.f64 (/.f64 a d) c b)
cost-diff	0	(/.f64 (fma.f64 (/.f64 a d) c b) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
cost-diff	0	(/.f64 a c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
cost-diff	0	(*.f64 c c)
cost-diff	0	(fma.f64 d d (*.f64 c c))
cost-diff	0	(/.f64 c (fma.f64 d d (*.f64 c c)))
cost-diff	7	(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	255
0	62	240
1	120	238
2	253	238
3	711	238
4	2079	238
5	4607	238
6	5552	238
7	5715	238
8	5875	238
9	6031	238
10	6173	238
11	6889	238
12	7288	238
0	8246	236

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1.7%)

Memory

28.3MiB live, 73.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.453201460626408	(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d)
accuracy	3.0176104329810474	(fma.f64 (neg.f64 b) (/.f64 c d) a)
accuracy	9.420033522952002	(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))
accuracy	30.401891500709517	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
accuracy	0.0	(*.f64 d b)
accuracy	0.0	(*.f64 c c)
accuracy	0.00390625	(fma.f64 c a (*.f64 d b))
accuracy	25.98363365347561	(/.f64 (fma.f64 c a (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
accuracy	0.0	(/.f64 a d)
accuracy	0.2942924086825084	(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy	2.6484034218651518	(fma.f64 (/.f64 a d) c b)
accuracy	29.55155772124398	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
accuracy	0.0	(/.f64 a c)
accuracy	36.6815455512278	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	1.8453014056940498	(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
accuracy	8.312283618970612	(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy	10.476406046050194	(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
accuracy	20.61270018025755	(/.f64 c (fma.f64 d d (*.f64 c c)))

Samples

91.0ms

256×

valid

Compiler

Compiled 243 to 37 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-add: 38.0ms (52.1% of total)

ival-div: 17.0ms (23.3% of total)

ival-mult: 17.0ms (23.3% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series75.0ms (1.2%)

Memory

4.7MiB live, 49.9MiB allocated

Counts

21 → 158

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	b	@	inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* (/ (/ (+ (* (neg b) (/ c d)) a) d) d) c) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ (+ (* (neg b) (/ c d)) a) d) d) (/ (+ (* (neg b) (/ c d)) a) d) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (+ (* (neg b) (/ c d)) a))
9.0ms	d	@	0	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* (/ (/ (+ (* (neg b) (/ c d)) a) d) d) c) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ (+ (* (neg b) (/ c d)) a) d) d) (/ (+ (* (neg b) (/ c d)) a) d) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (+ (* (neg b) (/ c d)) a))
7.0ms	a	@	-inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* (/ (/ (+ (* (neg b) (/ c d)) a) d) d) c) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ (+ (* (neg b) (/ c d)) a) d) d) (/ (+ (* (neg b) (/ c d)) a) d) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (+ (* (neg b) (/ c d)) a))
4.0ms	c	@	-inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* (/ (/ (+ (* (neg b) (/ c d)) a) d) d) c) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ (+ (* (neg b) (/ c d)) a) d) d) (/ (+ (* (neg b) (/ c d)) a) d) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (+ (* (neg b) (/ c d)) a))
4.0ms	b	@	-inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) (+ (* c a) (* d b)) (* d b) (+ (* (/ (/ (+ (* (neg b) (/ c d)) a) d) d) c) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (/ (+ (* (neg b) (/ c d)) a) d) d) (/ (+ (* (neg b) (/ c d)) a) d) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (+ (* (neg b) (/ c d)) a))

simplify188.0ms (2.9%)

Memory

1.2MiB live, 136.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	2654
1	2024	2498
2	7155	2446
0	8520	2346

Stop Event

1×	iter limit
1×	node limit

Counts

158 → 156

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

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

rewrite214.0ms (3.4%)

Memory

3.5MiB live, 296.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	223
0	62	208
1	245	206
2	1769	206
0	9672	204

Stop Event

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

Counts

21 → 1 022

Calls

Call 1

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

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

eval152.0ms (2.4%)

Memory: -12.7MiB live, 213.4MiB allocated
Compiler: Compiled 41 920 to 4 037 computations (90.4% saved)

prune28.0ms (0.4%)

Memory

37.8MiB live, 84.7MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 037	14	1 051
Fresh	8	4	12
Picked	2	3	5
Done	0	0	0
Total	1 047	21	1 068

Accuracy

99.7%

Counts

1 068 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.3%	(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) #s(approx ( d (/ b (+ (* d d) (* c c)))) (/.f64 (fma.f64 (/.f64 d c) b (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)))
	32.4%	(fma.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
	38.6%	(/.f64 #s(approx (+ (* c a) (* d b)) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	49.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
	51.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 #s(approx (/ (/ (+ (* (neg b) (/ c d)) a) d) d) (/.f64 (/.f64 a d) d)) c (/.f64 b d)))
	51.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 c d) (neg.f64 b) a) d) c b) d))
▶	54.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
✓	54.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	53.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
▶	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b)) d))
	23.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
▶	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	39.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
▶	41.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a)))
	26.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
▶	54.8%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
	44.6%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (-.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (fma.f64 (/.f64 d c) b a)) (.f64 (/.f64 (.f64 d d) c) (/.f64 a c))) c))
	40.3%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b))
	43.1%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))

Compiler

Compiled 1 203 to 699 computations (41.9% saved)

simplify164.0ms (2.6%)

Memory

-55.1MiB live, 103.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ a d) c) b) (fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b))
cost-diff	0	(/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b)) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b)) d))
cost-diff	4	(fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b)
cost-diff	0	(/.f64 b c)
cost-diff	0	(fma.f64 (/.f64 b c) d a)
cost-diff	0	(/.f64 (fma.f64 (/.f64 b c) d a) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
cost-diff	0	(fma.f64 d d (*.f64 c c))
cost-diff	0	(/.f64 a (fma.f64 d d (*.f64 c c)))
cost-diff	0	(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
cost-diff	0	(/.f64 b d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
cost-diff	0	(/.f64 d c)
cost-diff	0	(fma.f64 (/.f64 d c) b a)
cost-diff	0	(/.f64 (fma.f64 (/.f64 d c) b a) c)
cost-diff	0	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	275
0	62	264
1	118	264
2	246	264
3	548	264
4	1191	260
5	2201	252
6	2662	252
7	3483	252
8	4602	252
9	5733	252
10	6183	252
11	7633	252
0	8101	240

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.7%)

Memory

11.5MiB live, 202.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2942924086825084	(/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b)) d)
accuracy	6.5006612492781315	(/.f64 (/.f64 c b) d)
accuracy	11.548567179942557	(fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b)
accuracy	29.55155772124398	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b)) d))
accuracy	0.0	(/.f64 b c)
accuracy	0.7213634941804263	(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy	3.530328953830867	(fma.f64 (/.f64 b c) d a)
accuracy	28.666620614833164	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
accuracy	0.0	(*.f64 c c)
accuracy	8.540432589442306	(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
accuracy	8.711776503070643	(/.f64 a (fma.f64 d d (*.f64 c c)))
accuracy	26.101928755579976	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
accuracy	0.0	(/.f64 b d)
accuracy	36.74218915935149	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0.0	(/.f64 d c)
accuracy	0.7213634941804263	(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy	3.4002981608473446	(fma.f64 (/.f64 d c) b a)
accuracy	28.666620614833164	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c))

Samples

73.0ms

256×

valid

Compiler

Compiled 211 to 39 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 21.0ms (40.2% of total)

ival-mult: 18.0ms (34.5% of total)

ival-add: 13.0ms (24.9% of total)

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

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

series37.0ms (0.6%)

Memory

32.2MiB live, 78.8MiB allocated

Counts

20 → 103

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	b	@	inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* (* b a) (/ (/ c b) d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* c c) (/ (/ c b) d))
3.0ms	c	@	-inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* (* b a) (/ (/ c b) d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* c c) (/ (/ c b) d))
3.0ms	b	@	-inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* (* b a) (/ (/ c b) d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* c c) (/ (/ c b) d))
3.0ms	a	@	-inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* (* b a) (/ (/ c b) d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* c c) (/ (/ c b) d))
3.0ms	d	@	-inf	((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* (* b a) (/ (/ c b) d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* c c) (/ (/ c b) d))

simplify163.0ms (2.6%)

Memory

14.9MiB live, 228.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	412	1704
1	1385	1612
2	5028	1546
0	8323	1484

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 101

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

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

rewrite256.0ms (4%)

Memory

-26.3MiB live, 321.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	252
0	62	241
1	235	241
2	1696	241
0	8667	233

Stop Event

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

Counts

20 → 433

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(.f64 (/.f64 (fma.f64 (/.f64 b c) d a) (-.f64 (.f64 (/.f64 b c) d) a)) (/.f64 (-.f64 (*.f64 (/.f64 b c) d) a) c))
(.f64 (/.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 2 binary64)) (.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 2 binary64)) (pow.f64 (/.f64 a c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 b c) d) a) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 3 binary64)) (pow.f64 (/.f64 a c) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 b c) d) c) (/.f64 a c))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 b c) d) c (.f64 c a))) (*.f64 (neg.f64 c) c))
(/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 b c) d)) (neg.f64 c) (.f64 (neg.f64 c) (neg.f64 a))) (*.f64 c c))
(/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 b c) d)) c (.f64 (neg.f64 c) a)) (*.f64 (neg.f64 c) c))
(/.f64 (fma.f64 (.f64 (/.f64 b c) d) (neg.f64 c) (.f64 c (neg.f64 a))) (*.f64 (neg.f64 c) c))
(/.f64 (fma.f64 (.f64 b d) (neg.f64 c) (.f64 (*.f64 c c) (neg.f64 a))) (pow.f64 c #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 b d) c (.f64 (*.f64 c c) a)) (pow.f64 c #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 a) (neg.f64 c) (.f64 (neg.f64 c) (neg.f64 (.f64 (/.f64 b c) d)))) (*.f64 c c))
(/.f64 (fma.f64 (neg.f64 a) c (.f64 (neg.f64 c) (.f64 (/.f64 b c) d))) (*.f64 (neg.f64 c) c))
(/.f64 (fma.f64 (neg.f64 a) (.f64 c c) (.f64 (neg.f64 c) (*.f64 b d))) (pow.f64 c #s(literal 3 binary64)))
(/.f64 (fma.f64 a (neg.f64 c) (.f64 c (neg.f64 (.f64 (/.f64 b c) d)))) (*.f64 (neg.f64 c) c))
(/.f64 (fma.f64 c a (.f64 c (.f64 (/.f64 b c) d))) (*.f64 c c))
(/.f64 (fma.f64 a (.f64 c c) (.f64 c (*.f64 b d))) (pow.f64 c #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 2 binary64)) (pow.f64 (/.f64 a c) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (/.f64 b c) d) a) c))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 3 binary64)) (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 b c) d) c) (/.f64 a c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a))) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 b c) d) a) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) c)))
(/.f64 (fma.f64 (.f64 (/.f64 b c) d) c (.f64 c a)) (*.f64 c c))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) (.f64 (-.f64 (.f64 (/.f64 b c) d) a) c))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) c))
(/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (neg.f64 c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c))
(neg.f64 (/.f64 (fma.f64 (/.f64 b c) d a) (neg.f64 c)))
(fma.f64 (/.f64 b (neg.f64 (neg.f64 c))) (/.f64 d (neg.f64 (neg.f64 c))) (/.f64 a c))
(fma.f64 (/.f64 d (neg.f64 (neg.f64 c))) (/.f64 b (neg.f64 (neg.f64 c))) (/.f64 a c))
(fma.f64 (/.f64 d (neg.f64 c)) (/.f64 b (neg.f64 c)) (/.f64 a c))
(fma.f64 (/.f64 b (neg.f64 c)) (/.f64 d (neg.f64 c)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 (/.f64 d c) c) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 b c) d) a) c)) (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 b c) d) a) c)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (/.f64 b c) d) a) c)) (/.f64 (.f64 a a) (.f64 (-.f64 (.f64 (/.f64 b c) d) a) c)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 b c) d) a)) c) (/.f64 (/.f64 (.f64 a a) (-.f64 (.f64 (/.f64 b c) d) a)) c))
(-.f64 (/.f64 a c) (/.f64 (*.f64 (neg.f64 (/.f64 b c)) d) c))
(-.f64 (/.f64 a c) (/.f64 (*.f64 (neg.f64 (/.f64 d c)) b) c))
(-.f64 (/.f64 a c) (/.f64 (*.f64 (neg.f64 b) (/.f64 d c)) c))
(-.f64 (/.f64 a c) (/.f64 (*.f64 (neg.f64 d) (/.f64 b c)) c))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 b c) d) c) (/.f64 a c))))) (/.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 b c) d) c) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (/.f64 b c) d) c) (/.f64 a c))))))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 b c) d) c) (.f64 c c)) (/.f64 (.f64 c a) (*.f64 c c)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64))) c)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))) c)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 b c) d) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 a a)) (-.f64 (*.f64 (/.f64 b c) d) a))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 b c) d) a))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))))
(fma.f64 (/.f64 b c) d a)
(fma.f64 (/.f64 d c) b a)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(-.f64 (/.f64 (.f64 a a) (-.f64 a (.f64 (/.f64 b c) d))) (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (-.f64 a (.f64 (/.f64 b c) d))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 b c) d) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (/.f64 b c) d) a)))
(-.f64 a (*.f64 (neg.f64 (/.f64 b c)) d))
(-.f64 a (*.f64 (neg.f64 (/.f64 d c)) b))
(-.f64 a (*.f64 (neg.f64 b) (/.f64 d c)))
(-.f64 a (*.f64 (neg.f64 d) (/.f64 b c)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 b c) d) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 b c) d) a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 b c) d) a)))) (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (fma.f64 a a (-.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 b c) d) a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 3 binary64)) (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 b c) d) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 b c) d) a)) (/.f64 (.f64 (neg.f64 a) a) (-.f64 (.f64 (/.f64 b c) d) a)))
(+.f64 (*.f64 (/.f64 b c) d) a)
(+.f64 a (*.f64 (/.f64 b c) d))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 b) (neg.f64 c))
(/.f64 b c)
(neg.f64 (/.f64 (neg.f64 b) c))
(neg.f64 (/.f64 b (neg.f64 c)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (.f64 (/.f64 (*.f64 b a) b) (/.f64 c d)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 b b)))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 (*.f64 b a) b) (/.f64 c d)) b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) b)) (.f64 (-.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) b) (.f64 b b))) (.f64 (-.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) b) (-.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) b)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64))) (.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64))) (pow.f64 b #s(literal 3 binary64)))) (.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64))) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64))) (-.f64 b (.f64 (/.f64 (*.f64 b a) b) (/.f64 c d))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 b b))) (neg.f64 (-.f64 (.f64 (/.f64 (*.f64 b a) b) (/.f64 c d)) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 c b) d) (.f64 (*.f64 b a) b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 b b)) (-.f64 (.f64 (/.f64 (*.f64 b a) b) (/.f64 c d)) b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 c b) d) (.f64 (*.f64 b a) b)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64))) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 b a) b) (/.f64 c d) b)
(fma.f64 (/.f64 (*.f64 b a) d) (/.f64 c b) b)
(fma.f64 (/.f64 c d) (/.f64 (*.f64 b a) b) b)
(fma.f64 (*.f64 (/.f64 (/.f64 c b) d) b) a b)
(fma.f64 (*.f64 (/.f64 (/.f64 c b) d) a) b b)
(fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b)
(fma.f64 (/.f64 c b) (/.f64 (*.f64 b a) d) b)
(fma.f64 (*.f64 b a) (/.f64 (/.f64 c b) d) b)
(fma.f64 b (*.f64 (/.f64 (/.f64 c b) d) a) b)
(fma.f64 a (*.f64 b (/.f64 (/.f64 c b) d)) b)
(-.f64 (/.f64 (.f64 b b) (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)))) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (-.f64 b (.f64 (/.f64 (*.f64 b a) b) (/.f64 c d)))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) b)) (/.f64 (.f64 b b) (-.f64 (.f64 (/.f64 (*.f64 b a) b) (/.f64 c d)) b)))
(-.f64 b (.f64 (neg.f64 (/.f64 (/.f64 c b) d)) (.f64 b a)))
(-.f64 b (.f64 (neg.f64 (.f64 b a)) (/.f64 (/.f64 c b) d)))
(-.f64 b (.f64 (neg.f64 b) (.f64 (/.f64 (/.f64 c b) d) a)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 c b) d) (.f64 (.f64 b a) b))))) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b b (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 c b) d) (.f64 (.f64 b a) b))))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b b (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 c b) d) (.f64 (.f64 b a) b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (-.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 c b) d) (.f64 (.f64 b a) b))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d))) (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) b)) (/.f64 (.f64 (neg.f64 b) b) (-.f64 (.f64 (/.f64 (*.f64 b a) b) (/.f64 c d)) b)))
(+.f64 (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)) b)
(+.f64 b (.f64 (/.f64 (.f64 b a) b) (/.f64 c d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b)) d))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b))))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b)))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b))) (neg.f64 d))
(/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b)) d)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b))) d))
(neg.f64 (/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b)) (neg.f64 d)))
#s(approx (+ (* (/ a d) c) b) (fma.f64 (/.f64 (/.f64 c b) d) (*.f64 b a) b))
(*.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 c))))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.f64 c) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 c) c))
(sqrt.f64 (pow.f64 c #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 c) c))
(fabs.f64 (*.f64 c c))
(exp.f64 (*.f64 (log.f64 (neg.f64 c)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 c d)) (neg.f64 b))
(/.f64 (/.f64 c d) b)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 (neg.f64 b) d)))
(/.f64 (/.f64 (neg.f64 c) b) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (/.f64 (neg.f64 c) b) (neg.f64 d))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) d))
(/.f64 (/.f64 c b) (neg.f64 (neg.f64 d)))
(/.f64 (/.f64 c b) d)
(/.f64 c (*.f64 b d))
(neg.f64 (/.f64 (/.f64 (neg.f64 c) b) d))

eval87.0ms (1.4%)

Memory: 25.2MiB live, 122.0MiB allocated
Compiler: Compiled 19 284 to 2 121 computations (89% saved)

prune112.0ms (1.7%)

Memory

-21.4MiB live, 69.0MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	422	9	431
Fresh	3	10	13
Picked	2	3	5
Done	1	2	3
Total	428	24	452

Accuracy

99.7%

Counts

452 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.3%	(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) #s(approx ( d (/ b (+ (* d d) (* c c)))) (/.f64 (fma.f64 (/.f64 d c) b (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)))
	32.4%	(fma.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
	38.6%	(/.f64 #s(approx (+ (* c a) (* d b)) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	49.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
	51.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 c d) (neg.f64 b) a) d) c b) d))
✓	54.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
▶	53.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	47.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (.f64 b a) (/.f64 c (.f64 b d)) b)) d))
▶	23.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
	26.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) #s(approx (+ (* (* b a) (/ (/ c b) d)) b) (*.f64 (/.f64 a d) c))) d))
✓	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
▶	21.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) c))
	26.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ a (+ ( d d) (* c c))) (/.f64 (/.f64 a d) d)) c))
▶	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a)))
▶	26.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
	22.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (*.f64 (/.f64 a d) c)) d)))
	53.6%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
✓	54.8%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
	44.6%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (-.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (fma.f64 (/.f64 d c) b a)) (.f64 (/.f64 (.f64 d d) c) (/.f64 a c))) c))
	25.0%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
	40.3%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b))
	25.7%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))

Compiler

Compiled 1 434 to 812 computations (43.4% saved)

simplify192.0ms (3%)

Memory

-8.7MiB live, 137.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d)
cost-diff	0	#s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a))
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a)))
cost-diff	3	(*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a)
cost-diff	0	(/.f64 (*.f64 c a) d)
cost-diff	0	#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d))
cost-diff	0	(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
cost-diff	0	(/.f64 c d)
cost-diff	0	(*.f64 (/.f64 c d) (/.f64 a d))
cost-diff	0	#s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c d) (/.f64 a d)))
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
cost-diff	0	#s(approx (+ (* d d) (* c c)) (*.f64 d d))
cost-diff	0	(/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
cost-diff	0	(.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) c)
cost-diff	0	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) 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	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	352
0	56	342
1	103	342
2	196	342
3	387	342
4	737	342
5	1287	336
6	1572	336
7	2481	336
8	3513	336
9	3979	336
10	4084	336
11	4142	336
12	4170	336
13	4750	336
14	5061	336
15	6140	336
16	6498	336
17	6557	336
18	6579	336
19	6611	336
20	6611	336
21	6621	336
0	8764	322

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (1.2%)

Memory

33.5MiB live, 125.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2617166858302058	(+.f64 (/.f64 c d) (/.f64 b a))
accuracy	4.592544570308852	(/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d)
accuracy	8.390440940256433	(*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a)
accuracy	29.55155772124398	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a)))
accuracy	0.2942924086825084	(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)
accuracy	5.705833360540683	(/.f64 (*.f64 c a) d)
accuracy	29.55155772124398	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d))
accuracy	32.18699599907513	#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d))
accuracy	0.0	(/.f64 a d)
accuracy	2.899668028912558	(*.f64 (/.f64 c d) (/.f64 a d))
accuracy	26.955649627827516	#s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c d) (/.f64 a d)))
accuracy	29.55155772124398	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
accuracy	8.540432589442306	(.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) c)
accuracy	8.711776503070643	(/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
accuracy	26.101928755579976	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) c))
accuracy	26.25488014383677	#s(approx (+ (* d d) (* c c)) (*.f64 d d))
accuracy	0.0	(/.f64 c d)
accuracy	0.2942924086825084	(/.f64 (fma.f64 a (/.f64 c d) b) d)
accuracy	3.3481804912225717	(fma.f64 a (/.f64 c d) b)
accuracy	29.55155772124398	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))

Samples

56.0ms

256×

valid

Compiler

Compiled 231 to 31 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 17.0ms (44.5% of total)

ival-div: 14.0ms (36.7% of total)

ival-add: 6.0ms (15.7% of total)

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

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

series44.0ms (0.7%)

Memory

-2.9MiB live, 51.5MiB allocated

Counts

21 → 101

Calls

Call 1

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

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

Calls

12 calls:

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

simplify253.0ms (4%)

Memory

-30.7MiB live, 254.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	1665
1	1257	1567
2	4380	1507
0	8206	1446

Stop Event

1×	iter limit
1×	node limit

Counts

101 → 100

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

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

rewrite169.0ms (2.6%)

Memory

35.8MiB live, 174.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	320
0	56	313
1	202	313
2	1414	313
0	8825	299

Stop Event

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

Counts

21 → 426

Calls

Call 1

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

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

eval72.0ms (1.1%)

Memory: 2.8MiB live, 148.9MiB allocated
Compiler: Compiled 23 195 to 2 613 computations (88.7% saved)

prune58.0ms (0.9%)

Memory

7.1MiB live, 98.7MiB allocated

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	522	10	532
Fresh	5	9	14
Picked	2	3	5
Done	0	5	5
Total	529	27	556

Accuracy

99.7%

Counts

556 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.3%	(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) #s(approx ( d (/ b (+ (* d d) (* c c)))) (/.f64 (fma.f64 (/.f64 d c) b (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)))
	38.6%	(/.f64 #s(approx (+ (* c a) (* d b)) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	49.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
	51.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 c d) (neg.f64 b) a) d) c b) d))
✓	54.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	44.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 d c)) (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) (/.f64 a c) a)) c))
✓	53.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
	21.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (.f64 c a) #s(approx (+ ( d d) (* c c)) (*.f64 d d))))
	47.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (fma.f64 (.f64 b a) (/.f64 c (.f64 b d)) b)) d))
	25.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d))
	26.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d))
✓	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	40.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b))
	43.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
✓	21.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) c))
	31.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 c c))) c))
	26.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ a (+ ( d d) (* c c))) (/.f64 (/.f64 a d) d)) c))
	21.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c #s(approx (+ ( d d) (* c c)) (*.f64 d d)))))
	22.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 #s(approx (+ (/ c d) (/ b a)) (/.f64 c d)) d) a)))
	34.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 #s(approx (+ (/ c d) (/ b a)) (/.f64 b a)) d) a)))
✓	26.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
	21.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 c d))) d)))
	53.6%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
✓	54.8%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
	25.0%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
	25.7%	#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))

Compiler

Compiled 2 448 to 754 computations (69.2% saved)

regimes71.0ms (1.1%)

Memory

-26.4MiB live, 119.6MiB allocated

Counts

51 → 4

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	c
15.0ms	d
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
73.2%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
66.7%	3	`a`
65.6%	3	`b`
82.1%	5	`c`
83.5%	4	`d`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes11.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

39 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
83.0%	4	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes9.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
81.2%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes9.0ms (0.1%)

Memory

-37.2MiB live, 9.1MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
80.5%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes13.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

23 → 4

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	d
6.0ms	c

Results

Accuracy	Segments	Branch
70.1%	4	`c`
76.3%	4	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes25.0ms (0.4%)

Memory

-12.9MiB live, 33.4MiB allocated

Counts

22 → 4

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	a
6.0ms	d
6.0ms	c
5.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
56.3%	4	`a`
65.2%	5	`c`
52.1%	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
68.1%	4	`d`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.0%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
42.7%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
42.7%	1	`a`
42.7%	1	`c`
42.7%	1	`b`
42.7%	1	`d`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch86.0ms (1.3%)

Memory

-21.0MiB live, 41.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.0597718841308662e+45	1.1657784608165243e+51
51.0ms	-2.1407192629365925e-71	-2.2798301091977427e-78
15.0ms	-6.33944349839978e+163	-4.907441344527987e+156

Samples

59.0ms

432×

valid

Compiler

Compiled 1 386 to 810 computations (41.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 42.0ms (87.4% of total)

ival-div: 3.0ms (6.2% of total)

ival-add: 3.0ms (6.2% of total)

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

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

bsearch33.0ms (0.5%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.0597718841308662e+45	1.1657784608165243e+51
12.0ms	-2.1407192629365925e-71	-2.2798301091977427e-78
16.0ms	-3.7964242713228e+90	-7.477410222310992e+75

Samples

18.0ms

272×

valid

Compiler

Compiled 1 316 to 837 computations (36.4% saved)

Precisions

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

ival-mult: 7.0ms (64.7% of total)

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

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

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

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

bsearch20.0ms (0.3%)

Memory

-25.1MiB live, 20.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0597718841308662e+45	1.1657784608165243e+51
17.0ms	-4.8987638766225205e-25	-1.0329499411478714e-32

Samples

10.0ms

144×

valid

Compiler

Compiled 1 026 to 612 computations (40.4% saved)

Precisions

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

ival-mult: 4.0ms (68.7% of total)

ival-div: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

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

bsearch2.0ms (0%)

Memory

7.7MiB live, 7.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0597718841308662e+45	1.1657784608165243e+51
1.0ms	-4.8987638766225205e-25	-1.0329499411478714e-32

Compiler

Compiled 1 026 to 612 computations (40.4% saved)

bsearch35.0ms (0.5%)

Memory

-3.9MiB live, 40.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	4.571271423346594e+134	2.7040877066889778e+156
9.0ms	-4.8987638766225205e-25	-1.0329499411478714e-32
1.0ms	-6.33944349839978e+163	-4.907441344527987e+156

Samples

17.0ms

256×

valid

Compiler

Compiled 1 650 to 962 computations (41.7% saved)

Precisions

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

ival-mult: 6.0ms (59.1% of total)

ival-add: 2.0ms (19.7% of total)

ival-div: 1.0ms (9.9% of total)

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

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

bsearch38.0ms (0.6%)

Memory

35.3MiB live, 35.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.8513850930865052e-16	1.4148340611196347e-9
17.0ms	-1.0329499411478714e-32	-2.6715742428371387e-38
1.0ms	-6.33944349839978e+163	-4.907441344527987e+156

Samples

21.0ms

288×

valid

Compiler

Compiled 1 314 to 846 computations (35.6% saved)

Precisions

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

ival-mult: 8.0ms (62.3% of total)

ival-add: 3.0ms (23.4% of total)

ival-div: 2.0ms (15.6% of total)

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

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

bsearch16.0ms (0.3%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8513850930865052e-16	1.4148340611196347e-9
13.0ms	-1.0329499411478714e-32	-2.6715742428371387e-38

Samples

8.0ms

128×

valid

Compiler

Compiled 702 to 522 computations (25.6% saved)

Precisions

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

ival-mult: 3.0ms (58.8% of total)

ival-div: 1.0ms (19.6% of total)

ival-add: 1.0ms (19.6% of total)

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

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

simplify52.0ms (0.8%)

Memory

-19.6MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	577
1	124	577
2	195	577
3	307	577
4	415	577
5	466	577
6	472	577

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -6365737426045269/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (+ ( a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -112000000000000001293550548496057590096907021526990094016648959554497865038002388992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (fma.f64 c a (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (+ ( a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -3920052866929211/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))
(if (<=.f64 d #s(literal -3920052866929211/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -3832940580997451/348449143727040986586495598010130648530944 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)) (if (<=.f64 d #s(literal 44000000000000001737966447310852350620584494860232942107941728345444590692468800346655142592914070701684824167923859631682712919826056546474786816 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -5363734393030611/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)) (if (<=.f64 d #s(literal 8897694032363671/38685626227668133590597632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -5699856385590521/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 8897694032363671/38685626227668133590597632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
(if (<=.f64 d #s(literal -4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -6365737426045269/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (+ ( a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -6365737426045269/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -112000000000000001293550548496057590096907021526990094016648959554497865038002388992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (fma.f64 c a (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (+ ( a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -112000000000000001293550548496057590096907021526990094016648959554497865038002388992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (fma.f64 c a (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -3920052866929211/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))
(if (or (<=.f64 d #s(literal -3920052866929211/87112285931760246646623899502532662132736 binary64)) (not (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)))
(if (<=.f64 d #s(literal -3920052866929211/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (or (<=.f64 d #s(literal -3920052866929211/87112285931760246646623899502532662132736 binary64)) (not (<=.f64 d #s(literal 4600000000000000039431601178137144439738608910336 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)))
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(if (<=.f64 d #s(literal -4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -3832940580997451/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)) (if (<=.f64 d #s(literal 44000000000000001737966447310852350620584494860232942107941728345444590692468800346655142592914070701684824167923859631682712919826056546474786816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -5363734393030611/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)) (if (<=.f64 d #s(literal 8897694032363671/38685626227668133590597632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -4999999999999999916795901115958608572801861375087352681835038072302342087505062772657389384729693708756186941721815525337672536740822868667327551851630428160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -5363734393030611/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)) (if (<=.f64 d #s(literal 8897694032363671/38685626227668133590597632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -5699856385590521/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 8897694032363671/38685626227668133590597632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
(if (or (<=.f64 d #s(literal -5699856385590521/2923003274661805836407369665432566039311865085952 binary64)) (not (<=.f64 d #s(literal 8897694032363671/38685626227668133590597632 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

derivations629.0ms (9.9%)

Memory

16.7MiB live, 397.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	2654
1	2024	2498
2	7155	2446
0	8520	2346
0	186	623
1	667	571
2	2422	547
3	7277	547
0	8281	503
0	11	35
0	18	35
1	69	35
2	592	35
0	9029	31
0	36	223
0	62	208
1	245	206
2	1769	206
0	9672	204

Stop Event

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

Compiler

Compiled 577 to 81 computations (86% saved)

preprocess100.0ms (1.6%)

Memory: -29.7MiB live, 68.5MiB allocated
Compiler: Compiled 1 256 to 224 computations (82.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze62.0ms (1%)

sample1.1s (16.6%)

explain164.0ms (2.6%)

preprocess96.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize40.0ms (0.6%)

series15.0ms (0.2%)

simplify855.0ms (13.4%)

rewrite131.0ms (2%)

eval34.0ms (0.5%)

prune15.0ms (0.2%)

simplify181.0ms (2.8%)

localize111.0ms (1.7%)

series75.0ms (1.2%)

simplify188.0ms (2.9%)

rewrite214.0ms (3.4%)

eval152.0ms (2.4%)

prune28.0ms (0.4%)

simplify164.0ms (2.6%)

localize109.0ms (1.7%)

series37.0ms (0.6%)

simplify163.0ms (2.6%)

rewrite256.0ms (4%)

eval87.0ms (1.4%)

prune112.0ms (1.7%)

simplify192.0ms (3%)

localize77.0ms (1.2%)

series44.0ms (0.7%)

simplify253.0ms (4%)

rewrite169.0ms (2.6%)

eval72.0ms (1.1%)

prune58.0ms (0.9%)

regimes71.0ms (1.1%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes25.0ms (0.4%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch86.0ms (1.3%)

bsearch33.0ms (0.5%)

bsearch20.0ms (0.3%)

bsearch2.0ms (0%)

bsearch35.0ms (0.5%)

bsearch38.0ms (0.6%)

bsearch16.0ms (0.3%)

simplify52.0ms (0.8%)

derivations629.0ms (9.9%)

preprocess100.0ms (1.6%)

end0.0ms (0%)

Profiling