Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.4%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (16.8%)

Memory

21.8MiB live, 986.1MiB allocated

Samples

683.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-mult: 327.0ms (72.5% of total)

ival-add: 67.0ms (14.8% of total)

ival-div: 48.0ms (10.6% of total)

ival-true: 6.0ms (1.3% of total)

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

Bogosity

explain181.0ms (2.7%)

Memory

-35.2MiB live, 300.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
94	-	2	(3.5010872643929025e-307 -4.3122023127934097e-70 -1.6708258118056391e-121 7.734226228117527e-249)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d 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)`
0	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	47	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	60
↳	`(*.f64 a c)`	overflow	26
↳	`(*.f64 b d)`	overflow	35
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	104
↳	`(*.f64 c c)`	overflow	48
↳	`(*.f64 d d)`	overflow	64
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	27	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	104
↳	`(*.f64 c c)`	overflow	48
↳	`(*.f64 d d)`	overflow	64
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	13	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	60
↳	`(*.f64 a c)`	overflow	26
↳	`(*.f64 b d)`	overflow	35
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	5	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	15
↳	`(*.f64 c c)`	underflow	75
↳	`(*.f64 d d)`	underflow	50

Confusion

	Predicted +	Predicted -
+	92	2
-	0	162

Precision

1.0

Recall

0.9787234042553191

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	2
-	0	0	162

Precision?

1.0

Recall?

0.9787234042553191

Freqs

test

number	freq
0	164
1	92

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 199 to 59 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (61.4% of total)

ival-add: 4.0ms (18.9% of total)

ival-div: 3.0ms (14.2% of total)

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

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

preprocess338.0ms (5.1%)

Memory

12.6MiB live, 51.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.8%)

Memory

-9.5MiB live, 72.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a c)
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.01171875	(+.f64 (.f64 a c) (.f64 b d))
accuracy	22.285573505241533	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

44.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (68.3% of total)

ival-add: 3.0ms (14.6% of total)

ival-div: 2.0ms (9.8% of total)

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

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

series14.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

4 → 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)

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

simplify333.0ms (5%)

Memory

-12.5MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	593
1	618	583
2	1892	559
3	5765	557
0	8305	512

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

rewrite188.0ms (2.8%)

Memory

-11.5MiB live, 104.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 339

Calls

Call 1

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

Outputs
(.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 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64)))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(.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 (.f64 d b) (.f64 c a)) (.f64 d b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 d b) (.f64 c a)) (*.f64 d b))))
(.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 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (-.f64 (.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (.f64 c a) #s(literal 4 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 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 d b) (*.f64 c a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (.f64 c a))))
(.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a)))
(.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (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 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))))
(.f64 (fma.f64 d b (.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (fma.f64 (neg.f64 d) b (.f64 c a))))
(.f64 (fma.f64 d b (.f64 c a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 d b) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64))) (+.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) a) c) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 9 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.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) a) c) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 d b) (.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 (neg.f64 (fma.f64 (neg.f64 d) b (*.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))))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.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 (.f64 d b) (.f64 c a)) (.f64 d b) (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 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 d b) (*.f64 c a)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (.f64 c a))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (.f64 d b) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) #s(literal 1 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) a) c) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (.f64 c a))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 9 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) #s(literal 1 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) a) c) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 d) b (*.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 (fma.f64 (neg.f64 d) b (.f64 c a)) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) (+.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) a) c) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 9 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (-.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) a) c) #s(literal 3 binary64)))))
(/.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 d) b (*.f64 c a))))
(/.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 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 d b) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)))
(/.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 (.f64 d b) (.f64 c a)) (.f64 d b) (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))) (fma.f64 (-.f64 (.f64 d b) (.f64 c a)) (.f64 d b) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 c a))
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 d b))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64)))) (fma.f64 (.f64 d b) (fma.f64 d b (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a)))))
(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)) (neg.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a)))))
(fma.f64 (.f64 (.f64 a a) c) (/.f64 c (fma.f64 (neg.f64 d) b (.f64 c a))) (neg.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 (.f64 (.f64 c c) a) (/.f64 a (fma.f64 (neg.f64 d) b (.f64 c a))) (neg.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 (.f64 a a) (/.f64 (.f64 c c) (fma.f64 (neg.f64 d) b (.f64 c a))) (neg.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 d) b (.f64 c a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a)))))
(fma.f64 (.f64 c c) (/.f64 (.f64 a a) (fma.f64 (neg.f64 d) b (.f64 c a))) (neg.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 c a))
(fma.f64 (.f64 c a) (/.f64 (.f64 c a) (fma.f64 (neg.f64 d) b (.f64 c a))) (neg.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 d b))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (fma.f64 d d (.f64 c c))) (/.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (.f64 c a))) (fma.f64 d d (.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (fma.f64 d d (.f64 c c))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(+.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 d b) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64))) (.f64 (.f64 c a) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 c a) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64))) (.f64 (.f64 d b) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 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 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 d b)) (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 c a)))
(+.f64 (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 c a)) (.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal -1 binary64)) (.f64 d b)))
(*.f64 (exp.f64 (log.f64 a)) c)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 c a)
(*.f64 a c)
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 c a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 c a)))

eval32.0ms (0.5%)

Memory: 33.9MiB live, 33.9MiB allocated
Compiler: Compiled 11 205 to 1 059 computations (90.5% saved)

prune15.0ms (0.2%)

Memory

-9.5MiB live, 28.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	348	14	362
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	349	14	363

Accuracy

100.0%

Counts

363 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(pow.f64 (pow.f64 (/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 d b (.f64 c a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	64.9%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
▶	64.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (*.f64 d d)))
	39.7%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	33.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	64.6%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a))))
	54.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
	48.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	58.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
	45.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	39.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	41.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))

Compiler

Compiled 590 to 388 computations (34.2% saved)

simplify5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	201
0	43	195
1	51	195
2	53	195
3	54	195
0	54	195

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (1.3%)

Memory

-23.3MiB live, 58.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 c a)
accuracy	0.00390625	(fma.f64 d d (*.f64 c c))
accuracy	0.00390625	(fma.f64 d b (*.f64 c a))
accuracy	22.285573505241533	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
accuracy	0	(*.f64 a c)
accuracy	0.01171875	(+.f64 (.f64 a c) (.f64 b d))
accuracy	22.285573505241533	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	31.42041281838005	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0.00390625	(fma.f64 d d (*.f64 c c))
accuracy	7.582094446888863	(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy	10.588443124180126	(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
accuracy	24.67958998435465	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
accuracy	0	(/.f64 a c)
accuracy	38.73885838951014	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0	(*.f64 a c)
accuracy	0.00390625	(fma.f64 c c (*.f64 d d))
accuracy	0.01171875	(+.f64 (.f64 a c) (.f64 b d))
accuracy	22.285573505241533	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (*.f64 d d)))

Samples

70.0ms

256×

valid

Compiler

Compiled 398 to 50 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 11.0ms (52.4% of total)

ival-div: 6.0ms (28.6% of total)

ival-add: 4.0ms (19.1% of total)

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

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

series20.0ms (0.3%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

16 → 74

Calls

Call 1

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

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)
(* 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 (+ (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))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(* c (+ a (/ (* b d) c)))
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -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 (+ (* -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)))
(* d (+ b (/ (* a c) d)))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (+ b (* -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))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -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))
(* -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
2.0ms	b	@	-inf	((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (+ (* c c) (* d d)))
2.0ms	c	@	inf	((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (+ (* c c) (* d d)))
2.0ms	b	@	inf	((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (+ (* c c) (* d d)))
2.0ms	b	@	0	((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (+ (* c c) (* d d)))
2.0ms	c	@	-inf	((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (+ (* c c) (* d d)))

simplify189.0ms (2.9%)

Memory

-18.3MiB live, 177.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1351
1	986	1304
2	2955	1252
3	7578	1252
0	8365	1187

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

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

rewrite240.0ms (3.6%)

Memory

4.2MiB live, 239.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	153
0	43	148
1	143	148
2	894	148
0	8673	148

Stop Event

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

Counts

16 → 1 201

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d b (.f64 (neg.f64 c) a)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (.f64 c a))))
(.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (fma.f64 d b (.f64 (neg.f64 c) a)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 c a (.f64 (neg.f64 b) d)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 d b (.f64 c a)))
(.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (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 -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (.f64 (pow.f64 (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 -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (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 -1 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))) (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 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))) (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (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 -1 binary64))))
(.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 d b (.f64 (neg.f64 c) a)) (pow.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) #s(literal -1 binary64))))
(.f64 (fma.f64 d b (.f64 c a)) (.f64 (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))))
(.f64 (fma.f64 d b (.f64 c a)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (.f64 (neg.f64 c) a)))) (.f64 (/.f64 (pow.f64 (.f64 c a) #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))))) (+.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)))))
(/.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 (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (.f64 (neg.f64 c) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (.f64 (neg.f64 c) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (.f64 (neg.f64 c) a))) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #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))) (.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)))))))
(/.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(/.f64 (neg.f64 (neg.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 (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 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(/.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 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #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))))) (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 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #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 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) #s(literal 1 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 c a) d) b) #s(literal 2 binary64))) (fma.f64 c a (.f64 (neg.f64 b) d))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 (.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (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 (-.f64 (pow.f64 (.f64 d b) #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 4 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 c a) d) b) #s(literal 2 binary64))) (fma.f64 d b (.f64 (neg.f64 c) a))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) #s(literal 1 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 (+.f64 (pow.f64 (.f64 c a) #s(literal 9 binary64)) (pow.f64 (.f64 d b) #s(literal 9 binary64))) #s(literal 1 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 c a) d) b) #s(literal 3 binary64))) (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 9 binary64)) (pow.f64 (.f64 d b) #s(literal 9 binary64))) #s(literal 1 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 c a) 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 (+.f64 (pow.f64 (.f64 d b) #s(literal 9 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 c a) d) b) #s(literal 3 binary64))) (fma.f64 (.f64 c a) (fma.f64 c a (.f64 (neg.f64 b) d)) (pow.f64 (.f64 d b) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 9 binary64)) (pow.f64 (.f64 c a) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 d b) #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 c a) 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)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (neg.f64 (neg.f64 (+.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 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(/.f64 (+.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 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(/.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (.f64 c c) (+.f64 c d)) (/.f64 (.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (+.f64 d c)) (/.f64 d (-.f64 d c)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 (.f64 d d) (+.f64 d c)) (/.f64 (.f64 d d) (-.f64 d c)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 d (+.f64 d c)) (/.f64 (pow.f64 d #s(literal 3 binary64)) (-.f64 d c)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(-.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c))))
(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (+.f64 c d) (-.f64 c d))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))
(+.f64 (neg.f64 (.f64 (neg.f64 d) d)) (neg.f64 (.f64 (neg.f64 c) c)))
(+.f64 (neg.f64 (.f64 (neg.f64 c) c)) (neg.f64 (.f64 (neg.f64 d) d)))
(+.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (+.f64 d c) (-.f64 d c)))))
(+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 (+.f64 c d) (-.f64 c d)))))
(+.f64 (.f64 c c) (.f64 d d))
(+.f64 (.f64 d d) (.f64 c c))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( c c) (* d d)) (*.f64 c c))))
(.f64 #s(literal 1 binary64) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(.f64 #s(approx (+ ( c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))

eval104.0ms (1.6%)

Memory: 18.7MiB live, 139.4MiB allocated
Compiler: Compiled 36 018 to 2 591 computations (92.8% saved)

prune53.0ms (0.8%)

Memory

-20.8MiB live, 63.5MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	987	12	999
Fresh	4	5	9
Picked	4	1	5
Done	0	0	0
Total	995	18	1 013

Accuracy

100.0%

Counts

1 013 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d)))
	39.8%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
▶	33.9%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
▶	18.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	49.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
▶	59.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
	48.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	58.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 d d) a) c)) c)) c))
▶	45.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	39.5%	#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 #s(literal 1 binary64) (/.f64 c a)))
	45.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
	30.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 d d))) d))
	18.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
	44.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
	39.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* d d) (* c c))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))

Compiler

Compiled 855 to 533 computations (37.7% saved)

simplify5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	199
0	46	193
1	54	193
2	56	193
3	57	193
0	57	193

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (0.9%)

Memory

24.7MiB live, 61.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 c d)
accuracy	0.2821688516711209	(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy	1.4948423576039986	(fma.f64 (/.f64 c d) a b)
accuracy	26.15924925415056	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
accuracy	0	(*.f64 c a)
accuracy	0.00390625	(fma.f64 d b (*.f64 c a))
accuracy	22.285573505241533	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
accuracy	31.42041281838005	#s(approx (+ (* d d) (* c c)) (*.f64 c c))
accuracy	0	(*.f64 c c)
accuracy	22.285573505241533	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
accuracy	29.344627518927172	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	31.42041281838005	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0	(/.f64 b d)
accuracy	34.599812332068005	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0	(*.f64 c a)
accuracy	0.00390625	(fma.f64 d b (*.f64 c a))
accuracy	0.00390625	(fma.f64 c c (*.f64 d d))
accuracy	22.285573505241533	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d)))

Samples

44.0ms

256×

valid

Compiler

Compiled 379 to 54 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 13.0ms (47.7% of total)

ival-div: 9.0ms (33% of total)

ival-add: 5.0ms (18.3% of total)

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

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

series57.0ms (0.9%)

Memory

-7.6MiB live, 31.0MiB allocated

Counts

17 → 62

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	b	@	0	((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* c c))
2.0ms	d	@	-inf	((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* c c))
2.0ms	c	@	-inf	((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* c c))
2.0ms	b	@	-inf	((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* c c))
2.0ms	c	@	inf	((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* c c))

simplify317.0ms (4.8%)

Memory

-19.7MiB live, 139.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	816
1	814	806
2	2557	786
3	6278	772
0	8086	721

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

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

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

rewrite350.0ms (5.3%)

Memory

24.4MiB live, 213.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	167
0	46	161
1	168	161
2	1088	161
0	8571	161

Stop Event

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

Counts

17 → 624

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 d c)) (-.f64 d c))
(.f64 (.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 c d)) (-.f64 c d))
(.f64 (.f64 (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (.f64 b d) #s(literal 2 binary64)))) (pow.f64 (fma.f64 a c (.f64 (neg.f64 d) b)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 b d) #s(literal 2 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))) (pow.f64 (fma.f64 b d (.f64 (neg.f64 c) a)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b)) (pow.f64 (.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (.f64 (+.f64 d c) (-.f64 d c)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (.f64 (+.f64 c d) (-.f64 c d)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (.f64 a c)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (.f64 a c)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (.f64 c d) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b d (.f64 a c)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (.f64 d d))))
(.f64 (pow.f64 (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 b d (.f64 a c))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 b d (*.f64 a c))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 b d (.f64 a c)) (fma.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 c) a)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (fma.f64 c c (.f64 d d))) (/.f64 (fma.f64 b d (.f64 a c)) (fma.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
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(fma.f64 (pow.f64 d #s(literal -1 binary64)) b (.f64 (.f64 (/.f64 c d) a) (pow.f64 d #s(literal -1 binary64))))
(fma.f64 (pow.f64 d #s(literal -1 binary64)) b (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c d) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 (.f64 (/.f64 c d) a) (pow.f64 d #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c d) a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 (.f64 (/.f64 c d) a) (pow.f64 d #s(literal -1 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c d) a)))
(fma.f64 (*.f64 (/.f64 c d) a) (pow.f64 d #s(literal -1 binary64)) (/.f64 b d))
(fma.f64 b (pow.f64 d #s(literal -1 binary64)) (.f64 (.f64 (/.f64 c d) a) (pow.f64 d #s(literal -1 binary64))))
(fma.f64 b (pow.f64 d #s(literal -1 binary64)) (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c d) a)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))) (/.f64 (.f64 b b) (.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) d) (/.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 (/.f64 c d) a b))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 c d) a) (pow.f64 d #s(literal -1 binary64))) (/.f64 b d))
(+.f64 (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c d) a)) (/.f64 b d))
(+.f64 (/.f64 b d) (.f64 (.f64 (/.f64 c d) a) (pow.f64 d #s(literal -1 binary64))))
(+.f64 (/.f64 b d) (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 c d) a)))
(.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b (.f64 (/.f64 c d) a))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b)))
(.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 c d) a b)))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (.f64 b b)) (.f64 (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b))
(.f64 (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) (pow.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 (/.f64 c d) a) (fma.f64 (/.f64 c d) a (neg.f64 b))))))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 c d) a b) (.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 c d) a b) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b)))) (.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (fma.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (*.f64 (/.f64 c d) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (.f64 b b)))) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) a b)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (.f64 b b)))) (fma.f64 (/.f64 c d) a (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))))) (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (.f64 b b))) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (fma.f64 (/.f64 c d) a (neg.f64 b))))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64))) (-.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (.f64 b b))) (fma.f64 (/.f64 (neg.f64 c) d) a b))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (.f64 (*.f64 (/.f64 c d) a) (fma.f64 (/.f64 c d) a (neg.f64 b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (.f64 b b)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) a b)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (.f64 b b)) (fma.f64 (/.f64 c d) a (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (.f64 (/.f64 c d) a)) (-.f64 (.f64 b b) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 (.f64 (/.f64 c d) a) (fma.f64 (/.f64 c d) a (neg.f64 b)))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))) (fma.f64 b b (.f64 (*.f64 (/.f64 c d) a) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))) (fma.f64 b (-.f64 b (.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)))
(fma.f64 (.f64 (.f64 a c) #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64)) b)
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) d) b)
(fma.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 a d) b)
(fma.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -1 binary64))) b)
(fma.f64 (/.f64 a d) c b)
(fma.f64 (*.f64 (neg.f64 c) a) (/.f64 #s(literal -1 binary64) d) b)
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (/.f64 c d) a))
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 a (pow.f64 c #s(literal -1 binary64))) b)
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 a c) b)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 c d) a) b)
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 c d) a))
(fma.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(fma.f64 (neg.f64 c) (*.f64 (/.f64 #s(literal -1 binary64) d) a) b)
(fma.f64 (/.f64 c d) a b)
(fma.f64 (*.f64 a c) (pow.f64 d #s(literal -1 binary64)) b)
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 c (*.f64 (pow.f64 d #s(literal -1 binary64)) a) b)
(fma.f64 b #s(literal 1 binary64) (*.f64 (/.f64 c d) a))
(-.f64 (/.f64 (.f64 b b) (-.f64 b (.f64 (/.f64 c d) a))) (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (-.f64 b (.f64 (/.f64 c d) a))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 c d) a b)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (neg.f64 (/.f64 (.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(+.f64 (*.f64 (/.f64 c d) a) b)
(+.f64 b (*.f64 (/.f64 c d) a))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 c)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (pow.f64 (/.f64 d c) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d c) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) d))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -1 binary64)) c)
(*.f64 #s(literal 1 binary64) (/.f64 c d))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) d))
(*.f64 c (pow.f64 d #s(literal -1 binary64)))
(pow.f64 (/.f64 d c) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) c))
(/.f64 #s(literal 1 binary64) (/.f64 d c))
(/.f64 (neg.f64 c) (neg.f64 d))
(/.f64 c d)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d c)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) d)))
(neg.f64 (/.f64 (neg.f64 c) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 c) d))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))

eval118.0ms (1.8%)

Memory: -11.7MiB live, 109.7MiB allocated
Compiler: Compiled 24 537 to 1 923 computations (92.2% saved)

prune22.0ms (0.3%)

Memory

20.4MiB live, 57.8MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	731	9	740
Fresh	7	5	12
Picked	1	4	5
Done	0	1	1
Total	739	19	758

Accuracy

100.0%

Counts

758 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.9%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d)))
	39.8%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
✓	33.9%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
✓	18.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	49.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
▶	58.7%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	44.9%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 a d) d) c)) c)) c))
▶	45.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
	48.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	22.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
✓	45.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	39.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	45.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
▶	18.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
▶	58.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d)))
	45.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
▶	39.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
	22.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (.f64 (/.f64 a (.f64 d d)) c)))
	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* d d) (* c c))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))

Compiler

Compiled 846 to 534 computations (36.9% saved)

simplify414.0ms (6.3%)

Memory

-215.2MiB live, 44.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	270
0	62	272
1	99	266
2	169	254
3	390	254
4	1025	254
5	1979	254
6	2805	254
7	3240	254
8	3472	254
9	3567	254
10	3626	254
11	3637	254
12	3673	254
13	3841	254
14	3945	254
15	3961	254
16	3961	254
0	3961	249

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1.4%)

Memory

-15.9MiB live, 63.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 a d)
accuracy	0.2821688516711209	(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy	2.2187127868477927	(fma.f64 (/.f64 a d) c b)
accuracy	26.15924925415056	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
accuracy	0.00390625	(fma.f64 c c (*.f64 d d))
accuracy	4.086548262603518	(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
accuracy	14.79851611162376	(/.f64 c (fma.f64 c c (*.f64 d d)))
accuracy	28.36400496212517	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
accuracy	7.582094446888863	(/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
accuracy	10.588443124180126	(.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d)
accuracy	24.67958998435465	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
accuracy	31.42041281838005	#s(approx (+ (* d d) (* c c)) (*.f64 c c))
accuracy	0	(/.f64 #s(literal -1 binary64) c)
accuracy	0	(neg.f64 a)
accuracy	0.15625	(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))
accuracy	38.73885838951014	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
accuracy	0	(neg.f64 (fma.f64 (/.f64 c d) a b))
accuracy	0.4032626016711209	(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d))
accuracy	1.4948423576039986	(fma.f64 (/.f64 c d) a b)
accuracy	26.15924925415056	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d)))

Samples

68.0ms

256×

valid

Compiler

Compiled 493 to 77 computations (84.4% saved)

Precisions

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

ival-mult: 23.0ms (50.9% of total)

ival-div: 14.0ms (31% of total)

ival-add: 6.0ms (13.3% of total)

ival-neg: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

13.3MiB live, 48.4MiB allocated

Counts

20 → 127

Calls

Call 1

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

Outputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* -1 b)
(- (* -1 (/ (* a c) d)) b)
b
(+ b (/ (* a c) d))
(/ a c)
(* -1 a)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ a d)
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a c) d))
(* a (- (* -1 (/ b a)) (/ c d)))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ 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 (- (/ b a) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(- (* -1 b) (/ (* a c) d))
(/ b (+ (pow c 2) (pow d 2)))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (- (* -1 (/ (* a c) (* b d))) 1))
(* b (+ 1 (/ (* a c) (* b d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 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 d)))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ -1 c)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (+ 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 (- (* -1 (/ b c)) (/ a d)))
(* c (+ (/ a d) (/ b c)))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ 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 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (- (/ b c) (* -1 (/ a 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 (/ (- (/ (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))
(/ (+ (* a c) (* b d)) (pow d 2))
(+ (/ 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 (* b d)) (* a c)) d)
(/ (+ (* a c) (* b d)) d)
(* 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 (/ (* 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 (/ (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))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (+ b (* -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))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ (+ c (* -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))
(* -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) (/ (* 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
5.0ms	c	@	inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))
3.0ms	a	@	-inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))
2.0ms	b	@	-inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))
2.0ms	a	@	inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))
2.0ms	c	@	-inf	((* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))

simplify233.0ms (3.5%)

Memory

-2.5MiB live, 202.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	522	2270
1	1595	2191
2	4724	2120
0	8359	2038

Stop Event

1×	iter limit
1×	node limit

Counts

127 → 126

Calls

Call 1

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

rewrite167.0ms (2.5%)

Memory

17.8MiB live, 211.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	240
0	62	242
1	234	228
2	1372	224
0	8549	219

Stop Event

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

Counts

20 → 795

Calls

Call 1

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

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

eval159.0ms (2.4%)

Memory: -19.7MiB live, 99.0MiB allocated
Compiler: Compiled 26 284 to 2 836 computations (89.2% saved)

prune27.0ms (0.4%)

Memory

12.1MiB live, 51.3MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	685	7	692
Fresh	0	9	9
Picked	2	3	5
Done	0	5	5
Total	687	24	711

Accuracy

100.0%

Counts

711 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.9%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d)))
	39.8%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
✓	33.9%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
✓	18.8%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	49.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
✓	58.7%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	44.9%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (.f64 (.f64 a d) d) c)) c)) c))
	42.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
✓	45.6%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
	21.1%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 c (*.f64 d d))) a))
	39.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
	48.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	22.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
	19.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 d (/.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)) b)))
✓	45.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	39.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	45.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
✓	18.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
	22.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (neg.f64 #s(approx (+ ( (/ c d) a) b) (/.f64 (*.f64 a c) d))) (/.f64 #s(literal -1 binary64) d)))
	45.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
	20.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
	22.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (.f64 (/.f64 a (.f64 d d)) c)))
	43.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* d d) (* c c))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))
	24.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (*.f64 (/.f64 (/.f64 a d) d) c)))

Compiler

Compiled 1 711 to 568 computations (66.8% saved)

regimes82.0ms (1.2%)

Memory

-9.8MiB live, 67.1MiB allocated

Counts

43 → 5

Calls

Call 1

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

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

Calls

5 calls:

32.0ms	b
13.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
12.0ms	a
12.0ms	d
11.0ms	c

Results

Accuracy	Segments	Branch
69.4%	3	`a`
72.4%	2	`b`
85.5%	3	`c`
90.8%	5	`d`
80.5%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes20.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	d
9.0ms	c

Results

Accuracy	Segments	Branch
85.5%	3	`c`
81.9%	3	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes9.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.5%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes26.0ms (0.4%)

Memory

-37.2MiB live, 12.6MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
85.1%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes25.0ms (0.4%)

Memory

-0.7MiB live, 36.0MiB 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 (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (.f64 (/.f64 a (.f64 d d)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (.f64 #s(approx (/ c (+ ( c c) (* d d))) (/.f64 c (*.f64 d d))) a))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (neg (+ (* (/ c d) a) b)) (/ -1 d)) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 (/.f64 b c) c)) 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 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 d (/.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (.f64 a c) (fma.f64 d d (.f64 c c))))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))

Outputs

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

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

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

Calls

3 calls:

10.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	c
7.0ms	d

Results

Accuracy	Segments	Branch
64.4%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
76.3%	3	`d`
79.9%	3	`c`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes22.0ms (0.3%)

Memory

31.6MiB live, 31.6MiB allocated

Counts

23 → 5

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	b
7.0ms	c
7.0ms	d

Results

Accuracy	Segments	Branch
67.7%	3	`b`
73.9%	5	`d`
69.5%	3	`c`

Compiler

Compiled 3 to 12 computations (-300% saved)

regimes11.0ms (0.2%)

Memory

-20.2MiB live, 15.5MiB allocated

Counts

22 → 6

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
74.8%	6	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes10.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs
#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))

Calls

2 calls:

5.0ms	d
5.0ms	c

Results

Accuracy	Segments	Branch
69.5%	3	`c`
68.6%	3	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
39.5%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
39.5%	1	`b`
39.5%	1	`d`
39.5%	1	`a`
39.5%	1	`c`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch68.0ms (1%)

Memory

-4.1MiB live, 34.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.2386515027524154e+117	4.3243485317369893e+127
13.0ms	9.816428555251784e-102	2.541468388277628e-97
13.0ms	-1.631887640760433e-127	-7.330675476040743e-131
20.0ms	-8.516840104579348e+85	-2.594009230748044e+82

Samples

42.0ms

544×

valid

Compiler

Compiled 1 276 to 902 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (61.7% of total)

ival-add: 4.0ms (19% of total)

ival-div: 3.0ms (14.2% of total)

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

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

bsearch50.0ms (0.8%)

Memory

-16.8MiB live, 28.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	2.735904156371265e+23	1.1010162379194611e+36
10.0ms	-2.3045203558241622e+20	-34624688273922953000.0

Samples

37.0ms

256×

valid

Compiler

Compiled 786 to 530 computations (32.6% saved)

Precisions

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

ival-add: 23.0ms (75.1% of total)

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

ival-div: 1.0ms (3.3% of total)

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

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

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.735904156371265e+23	1.1010162379194611e+36
1.0ms	-2.3045203558241622e+20	-34624688273922953000.0

Compiler

Compiled 786 to 530 computations (32.6% saved)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.735904156371265e+23	1.1010162379194611e+36
1.0ms	-2.3045203558241622e+20	-34624688273922953000.0

Compiler

Compiled 786 to 530 computations (32.6% saved)

bsearch29.0ms (0.4%)

Memory

-0.4MiB live, 34.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.735904156371265e+23	1.1010162379194611e+36
8.0ms	-2.3045203558241622e+20	-34624688273922953000.0

Samples

18.0ms

208×

valid

Compiler

Compiled 706 to 498 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.3% of total)

ival-add: 2.0ms (24.1% of total)

ival-div: 1.0ms (12.1% of total)

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

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

bsearch58.0ms (0.9%)

Memory

28.6MiB live, 100.4MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	1.2386515027524154e+117	4.3243485317369893e+127
16.0ms	449646032.2123055	141841947864697.22
10.0ms	-4.167280975472172e-66	-6.64313052643819e-67
18.0ms	-4.358801116899517e+138	-2.6850817158819423e+132

Samples

32.0ms

480×

valid

Compiler

Compiled 1 428 to 1 012 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 12.0ms (63.9% of total)

ival-add: 4.0ms (21.3% of total)

ival-div: 3.0ms (16% of total)

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

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

bsearch63.0ms (0.9%)

Memory

-21.8MiB live, 32.3MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.2386515027524154e+117	4.3243485317369893e+127
1.0ms	449646032.2123055	141841947864697.22
13.0ms	-9.347277640518448e-97	-1.4285367139625663e-101
12.0ms	-2.919922211098916e+78	-4.121585803873139e+76
9.0ms	-4.358801116899517e+138	-2.6850817158819423e+132

Samples

21.0ms

320×

valid

Compiler

Compiled 2 002 to 1 372 computations (31.5% saved)

Precisions

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

ival-mult: 8.0ms (63.4% of total)

ival-div: 2.0ms (15.8% of total)

ival-add: 2.0ms (15.8% of total)

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

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

bsearch47.0ms (0.7%)

Memory

-0.7MiB live, 36.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.697975233758557e-10	8.125208625859351e-6
31.0ms	-4.3455158893547023e-13	-1.4889518046487688e-13

Samples

37.0ms

208×

valid

Compiler

Compiled 512 to 382 computations (25.4% saved)

Precisions

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

ival-mult: 28.0ms (89.7% of total)

ival-add: 2.0ms (6.4% of total)

ival-div: 1.0ms (3.2% of total)

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

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

simplify28.0ms (0.4%)

Memory

14.1MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	780
1	104	780

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 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 -405827311541079/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 1733688272641357/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 c #s(literal -82000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal 65000000000000004388725358329856 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -82000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 65000000000000004388725358329856 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -82000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 65000000000000004388725358329856 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 b c) d a) c))))
(if (<=.f64 c #s(literal -120000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1400000000000000039097473842544640 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 a c))))
(if (<=.f64 d #s(literal -9800000000000000319910624985643094131830783771321935710273392232713803032985127838925727176639097748330471131926256495093827829235712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (.f64 d d))) (if (<=.f64 d #s(literal 460000000 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 2900000000000000096821214786773010460569945492292193206515216873168215854706789962465183497269702620015102952958607249899520 binary64)) #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 b d))))))
(if (<=.f64 d #s(literal -2999999999999999814880677421505912841943666149372999515633319597691220783203625291620241715970782265451741739987827384948456425521152 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)) (if (<=.f64 d #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 460000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 2900000000000000096821214786773010460569945492292193206515216873168215854706789962465183497269702620015102952958607249899520 binary64)) #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 b d)))))))
(if (<=.f64 c #s(literal -940834429856889/2475880078570760549798248448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 4110347786689739/604462909807314587353088 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))

Outputs
(if (<=.f64 d #s(literal -50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 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 -405827311541079/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d #s(literal 1733688272641357/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 c #s(literal -82000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal 65000000000000004388725358329856 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -82000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 65000000000000004388725358329856 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -82000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 65000000000000004388725358329856 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 b c) d a) c))))
(if (<=.f64 c #s(literal -120000000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1400000000000000039097473842544640 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 a c))))
(if (<=.f64 d #s(literal -9800000000000000319910624985643094131830783771321935710273392232713803032985127838925727176639097748330471131926256495093827829235712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (.f64 d d))) (if (<=.f64 d #s(literal 460000000 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 2900000000000000096821214786773010460569945492292193206515216873168215854706789962465183497269702620015102952958607249899520 binary64)) #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 b d))))))
(if (<=.f64 d #s(literal -2999999999999999814880677421505912841943666149372999515633319597691220783203625291620241715970782265451741739987827384948456425521152 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)) (if (<=.f64 d #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 460000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 2900000000000000096821214786773010460569945492292193206515216873168215854706789962465183497269702620015102952958607249899520 binary64)) #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 b d)))))))
(if (<=.f64 c #s(literal -940834429856889/2475880078570760549798248448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 4110347786689739/604462909807314587353088 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))

soundness929.0ms (14.1%)

Memory

-23.5MiB live, 574.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1351
1	986	1304
2	2955	1252
3	7578	1252
0	8365	1187
0	29	153
0	43	148
1	143	148
2	894	148
0	8673	148
0	11	32
0	18	32
1	58	32
2	435	32
3	5073	32
0	8760	28
0	186	593
1	618	583
2	1892	559
3	5765	557
0	8305	512

Stop Event

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

Compiler

Compiled 1 152 to 339 computations (70.6% saved)

preprocess82.0ms (1.2%)

Memory: 6.8MiB live, 81.2MiB allocated
Compiler: Compiled 1 662 to 264 computations (84.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.4%)

sample1.1s (16.8%)

explain181.0ms (2.7%)

preprocess338.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize53.0ms (0.8%)

series14.0ms (0.2%)

simplify333.0ms (5%)

rewrite188.0ms (2.8%)

eval32.0ms (0.5%)

prune15.0ms (0.2%)

simplify5.0ms (0.1%)

localize86.0ms (1.3%)

series20.0ms (0.3%)

simplify189.0ms (2.9%)

rewrite240.0ms (3.6%)

eval104.0ms (1.6%)

prune53.0ms (0.8%)

simplify5.0ms (0.1%)

localize59.0ms (0.9%)

series57.0ms (0.9%)

simplify317.0ms (4.8%)

rewrite350.0ms (5.3%)

eval118.0ms (1.8%)

prune22.0ms (0.3%)

simplify414.0ms (6.3%)

localize92.0ms (1.4%)

series29.0ms (0.4%)

simplify233.0ms (3.5%)

rewrite167.0ms (2.5%)

eval159.0ms (2.4%)

prune27.0ms (0.4%)

regimes82.0ms (1.2%)

regimes20.0ms (0.3%)

regimes9.0ms (0.1%)

regimes26.0ms (0.4%)

regimes25.0ms (0.4%)

regimes22.0ms (0.3%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch68.0ms (1%)

bsearch50.0ms (0.8%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch29.0ms (0.4%)

bsearch58.0ms (0.9%)

bsearch63.0ms (0.9%)

bsearch47.0ms (0.7%)

simplify28.0ms (0.4%)

soundness929.0ms (14.1%)

preprocess82.0ms (1.2%)

end0.0ms (0%)

Profiling