Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze80.0ms (1.5%)

Memory

-5.8MiB live, 32.1MiB 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)

sample1.2s (22.5%)

Memory

46.3MiB live, 862.2MiB allocated

Samples

743.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 439.0ms

ival-mult: 278.0ms (63.3% of total)

ival-add: 103.0ms (23.5% of total)

ival-div: 48.0ms (10.9% of total)

ival-true: 7.0ms (1.6% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain179.0ms (3.5%)

Memory

2.3MiB live, 161.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	1	(-3.8013060291055787e-191 1.516449652531844e+136 3.1620532666699052e-236 -8.859376746332569e-162)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
4	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	47	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	56
↳	`(*.f64 a c)`	overflow	27
↳	`(*.f64 b d)`	overflow	34
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	120
↳	`(*.f64 c c)`	overflow	72
↳	`(*.f64 d d)`	overflow	69
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	36	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	120
↳	`(*.f64 c c)`	overflow	72
↳	`(*.f64 d d)`	overflow	69
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	10	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	20
↳	`(*.f64 c c)`	underflow	62
↳	`(*.f64 d d)`	underflow	70
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	9	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	56
↳	`(*.f64 a c)`	overflow	27
↳	`(*.f64 b d)`	overflow	34
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	4	0
↳	`(*.f64 a c)`	overflow	27
↳	`(*.f64 b d)`	overflow	34
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	4	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	7
↳	`(*.f64 a c)`	underflow	29
↳	`(*.f64 b d)`	underflow	37
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	20
↳	`(*.f64 c c)`	underflow	62
↳	`(*.f64 d d)`	underflow	70
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	7
↳	`(*.f64 a c)`	underflow	29
↳	`(*.f64 b d)`	underflow	37

Confusion

	Predicted +	Predicted -
+	109	1
-	0	146

Precision

1.0

Recall

0.990909090909091

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	0	1
-	0	0	146

Precision?

1.0

Recall?

0.990909090909091

Freqs

test

number	freq
0	147
1	105
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% 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: 1.0ms (4.7% of total)

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

preprocess39.0ms (0.7%)

Memory

-22.1MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.1%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.6%)

Memory

-0.7MiB live, 37.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a c)
accuracy	0.00390625	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.8476541858302059	(+.f64 (.f64 a c) (.f64 b d))
accuracy	25.9484339607209	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

23.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50% of total)

ival-div: 3.0ms (25% of total)

ival-add: 2.0ms (16.7% of total)

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

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

series15.0ms (0.3%)

Memory

-16.5MiB live, 22.2MiB 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	@	0	((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
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))

simplify137.0ms (2.6%)

Memory

19.7MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 43

Calls

Call 1

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

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

rewrite127.0ms (2.4%)

Memory

-9.9MiB live, 184.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	18	32
1	69	32
2	592	32
0	9029	28

Stop Event

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

Counts

4 → 322

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

eval44.0ms (0.8%)

Memory: 31.5MiB live, 75.5MiB allocated
Compiler: Compiled 12 618 to 1 021 computations (91.9% saved)

prune17.0ms (0.3%)

Memory

-5.2MiB live, 31.2MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	335	14	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	336	14	350

Accuracy

99.7%

Counts

350 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.0%	(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
▶	59.1%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (*.f64 d d)))
	34.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
	52.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 (fma.f64 (/.f64 b c) d a) c)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	36.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
	47.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
	45.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
	50.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	54.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	44.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (.f64 b c) c (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d))
	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	41.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	37.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
	41.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))

Compiler

Compiled 676 to 422 computations (37.6% saved)

simplify16.0ms (0.3%)

Memory

-23.9MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	224
0	48	218
1	82	218
2	153	218
3	265	218
4	377	218
5	436	218
6	446	218
7	450	218
0	450	211

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

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

localize76.0ms (1.5%)

Memory

-9.2MiB live, 87.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.5141804182958858	(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
accuracy	8.008577204706663	(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy	11.312396338714322	(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
accuracy	22.016096047022533	(/.f64 c (fma.f64 d d (*.f64 c c)))
accuracy	0.0	(*.f64 c c)
accuracy	0.00390625	(+.f64 (.f64 c c) (.f64 d d))
accuracy	25.9484339607209	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
accuracy	31.74137926407669	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	0.00390625	(fma.f64 d d (*.f64 c c))
accuracy	8.008577204706663	(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy	11.312396338714322	(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
accuracy	27.034806265632728	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
accuracy	0.0	(/.f64 a c)
accuracy	37.42464785146071	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0.0	(*.f64 b d)
accuracy	0.0	(*.f64 a c)
accuracy	0.8476541858302059	(+.f64 (.f64 a c) (.f64 b d))
accuracy	25.9484339607209	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (*.f64 d d)))

Samples

43.0ms

256×

valid

Compiler

Compiled 219 to 22 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (51.5% of total)

ival-div: 6.0ms (25.7% of total)

ival-add: 4.0ms (17.2% of total)

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

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

series29.0ms (0.6%)

Memory

26.2MiB live, 64.7MiB allocated

Counts

18 → 93

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 c c) (.f64 d d))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
(fma.f64 a (/.f64 c (fma.f64 d d (.f64 c c))) (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(/.f64 c (fma.f64 d d (*.f64 c c)))
(*.f64 c c)
(.f64 d (/.f64 b (fma.f64 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 (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(pow c 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) (+ 1 (/ (pow d 2) (pow c 2))))
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(* -1 (* c (+ (* -1 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))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(+ (/ 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)))
(+ (* -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))
(* 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))))
(/ (+ 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 (* 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))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	d	@	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)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (* c c) (* d (/ b (+ (* d d) (* c c)))))
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)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (* c c) (* d (/ b (+ (* d d) (* c c)))))
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)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (* c c) (* d (/ b (+ (* d d) (* c c)))))
2.0ms	c	@	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)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (* c c) (* d (/ b (+ (* d d) (* c c)))))
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)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (* c c) (* d (/ b (+ (* d d) (* c c)))))

simplify159.0ms (3.1%)

Memory

12.3MiB live, 203.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	1773
1	1322	1668
2	4551	1612
0	8353	1541

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 93

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

rewrite195.0ms (3.8%)

Memory

4.5MiB live, 200.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	176
0	48	170
1	142	170
2	1049	170
0	9447	163

Stop Event

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

Counts

18 → 856

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b)))) (.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))))) (+.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b)))))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 c) a) (.f64 (neg.f64 c) a))) (fma.f64 d b (*.f64 (neg.f64 c) a)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 a) c) (.f64 (neg.f64 a) c))) (fma.f64 d b (*.f64 (neg.f64 a) c)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 d) b) (.f64 (neg.f64 d) b))) (fma.f64 c a (*.f64 (neg.f64 d) b)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 b)) d) (.f64 (neg.f64 (neg.f64 b)) d))) (-.f64 (.f64 c a) (.f64 (neg.f64 (neg.f64 b)) d)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) (fma.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 d) b)))))))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 c) a) (.f64 (neg.f64 c) a) (.f64 (.f64 d b) (.f64 (neg.f64 c) a)))))
(/.f64 (-.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 a) c) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 a) c) (.f64 (neg.f64 a) c) (.f64 (.f64 d b) (.f64 (neg.f64 a) c)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 d) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 d) b) (.f64 (neg.f64 d) b) (.f64 (.f64 c a) (.f64 (neg.f64 d) b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 b)) d) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 b)) d) (.f64 (neg.f64 (neg.f64 b)) d)) (.f64 (.f64 c a) (*.f64 (neg.f64 (neg.f64 b)) d)))))
(/.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 (-.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 b) d) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.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))))) (neg.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 d) b)))))
(/.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) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))))
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(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 c a) d) b)) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 c a) d) b)) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (fma.f64 c c (.f64 d d))) (/.f64 (/.f64 (pow.f64 (.f64 d b) #s(literal 3 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (fma.f64 c c (.f64 d d))))
(+.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 (fma.f64 c a (.f64 (neg.f64 d) b)) (fma.f64 c c (.f64 d d)))) (/.f64 (.f64 (.f64 (neg.f64 b) d) (.f64 d b)) (.f64 (fma.f64 c a (.f64 (neg.f64 d) b)) (fma.f64 c c (.f64 d d)))))
(+.f64 (/.f64 (.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 c c (.f64 d d)) (.f64 d b)) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) #s(literal 2 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d)))) (/.f64 (/.f64 (.f64 (.f64 (neg.f64 d) b) (.f64 d b)) (pow.f64 (fma.f64 c c (.f64 d d)) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 c c (.f64 d d)))))
(+.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (/.f64 (.f64 (neg.f64 (neg.f64 b)) d) (fma.f64 c c (.f64 d d))))
(+.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (.f64 (neg.f64 (neg.f64 d)) (/.f64 b (fma.f64 c c (.f64 d d)))))
(+.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (.f64 (neg.f64 d) (/.f64 b (fma.f64 c c (.f64 d d)))))
(+.f64 (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a) (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d))
(+.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
(.f64 (/.f64 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 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 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 d c) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 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 d c) #s(literal 2 binary64))))
(/.f64 (.f64 c (-.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 c #s(literal 4 binary64))) (+.f64 (pow.f64 d #s(literal 4 binary64)) (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))))
(/.f64 (.f64 c (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 c c (*.f64 d d))))
(/.f64 (.f64 c (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 4 binary64)) (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))))
(/.f64 (.f64 c (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 c c (*.f64 d d))))
(/.f64 (.f64 c (-.f64 (pow.f64 d #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))))))
(/.f64 (.f64 c (+.f64 (pow.f64 d #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 d #s(literal 8 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))))))))
(/.f64 (.f64 c (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))))))
(/.f64 (.f64 c (+.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 c #s(literal 8 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (neg.f64 c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 c) (fma.f64 c c (*.f64 d d)))
(/.f64 c (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 c))))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.f64 c) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 c) c))
(sqrt.f64 (pow.f64 c #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 c) c))
(fabs.f64 (*.f64 c c))
(exp.f64 (*.f64 (log.f64 (neg.f64 c)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)))
(.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(.f64 (/.f64 (.f64 d b) (+.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 (.f64 d b) (+.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 d c) #s(literal 2 binary64))))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
(.f64 d (/.f64 b (fma.f64 c c (.f64 d d))))
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (.f64 (.f64 d b) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (+.f64 (pow.f64 d #s(literal 4 binary64)) (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 d b) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 c c (.f64 d d))))
(/.f64 (.f64 (.f64 d b) (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 4 binary64)) (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 d b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 c c (.f64 d d))))
(/.f64 (.f64 (.f64 d b) (-.f64 (pow.f64 d #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 d b) (+.f64 (pow.f64 d #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 d #s(literal 8 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))))))
(/.f64 (.f64 (.f64 d b) (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 d b) (+.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 c #s(literal 8 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (.f64 (neg.f64 b) d)) (fma.f64 c c (.f64 d d)))
(/.f64 (.f64 (neg.f64 b) d) (fma.f64 c c (.f64 d d)))
(/.f64 (.f64 d b) (fma.f64 c c (.f64 d d)))

eval129.0ms (2.5%)

Memory: -26.0MiB live, 183.1MiB allocated
Compiler: Compiled 39 957 to 3 138 computations (92.1% saved)

prune31.0ms (0.6%)

Memory

-19.3MiB live, 58.8MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	981	7	988
Fresh	2	7	9
Picked	4	1	5
Done	0	0	0
Total	987	15	1 002

Accuracy

99.8%

Counts

1 002 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.9%	(fma.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
▶	52.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 (fma.f64 (/.f64 b c) d a) c)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	36.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 c c (.f64 d d)))
	47.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
	45.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
▶	55.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
	50.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	54.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
▶	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	41.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	42.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
	28.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 d d))) d))
	41.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
	17.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 b (*.f64 c c))) d))
▶	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d)))))

Compiler

Compiled 763 to 463 computations (39.3% saved)

simplify168.0ms (3.2%)

Memory

31.1MiB live, 69.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	238
0	50	238
1	82	238
2	172	238
3	372	238
4	763	238
5	1310	235
6	1474	235
7	3413	235
8	6141	235
0	8065	225

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (2.9%)

Memory

-1.8MiB live, 43.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 c c) (.f64 d d))
accuracy	3.6876252760995336	(fma.f64 (/.f64 b c) d a)
accuracy	4.5384747853320535	(*.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy	25.9484339607209	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 (fma.f64 (/.f64 b c) d a) c)) (+.f64 (.f64 c c) (*.f64 d d)))
accuracy	0.0	(*.f64 d d)
accuracy	0.0	(*.f64 d b)
accuracy	25.9484339607209	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 c c (.f64 d d)))
accuracy	31.74137926407669	#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy	0.0	(*.f64 d d)
accuracy	3.7273027315193277	(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
accuracy	19.90248176850356	(/.f64 d (fma.f64 c c (*.f64 d d)))
accuracy	27.034806265632728	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d (fma.f64 c c (.f64 d d)))))
accuracy	0.0	(/.f64 b d)
accuracy	36.68901206351073	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy	0.0	(/.f64 c d)
accuracy	0.29245492464536543	(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy	3.414474484918672	(fma.f64 (/.f64 c d) a b)
accuracy	28.302244155796494	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))

Samples

134.0ms

256×

valid

Compiler

Compiled 204 to 25 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 103.0ms (87.7% of total)

ival-div: 9.0ms (7.7% of total)

ival-add: 4.0ms (3.4% of total)

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

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

series31.0ms (0.6%)

Memory

-2.3MiB live, 35.3MiB allocated

Counts

19 → 105

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* (+ (* (/ b c) d) a) c) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d d) (+ (* (/ b c) d) a))
3.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* (+ (* (/ b c) d) a) c) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d d) (+ (* (/ b c) d) a))
3.0ms	b	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* (+ (* (/ b c) d) a) c) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d d) (+ (* (/ b c) d) a))
3.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* (+ (* (/ b c) d) a) c) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d d) (+ (* (/ b c) d) a))
2.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (* (+ (* (/ b c) d) a) c) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d d) (+ (* (/ b c) d) a))

simplify188.0ms (3.6%)

Memory

1.4MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	425	1629
1	1421	1543
2	4910	1495
0	8188	1430

Stop Event

1×	iter limit
1×	node limit

Counts

105 → 103

Calls

Call 1

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

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

rewrite459.0ms (8.8%)

Memory

-201.3MiB live, 196.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	204
0	50	204
1	147	204
2	1046	204
0	9173	197

Stop Event

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

Counts

19 → 431

Calls

Call 1

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

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

eval69.0ms (1.3%)

Memory: -5.2MiB live, 151.2MiB allocated
Compiler: Compiled 22 154 to 2 185 computations (90.1% saved)

prune20.0ms (0.4%)

Memory

21.2MiB live, 60.5MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	539	10	549
Fresh	4	5	9
Picked	2	3	5
Done	0	1	1
Total	545	19	564

Accuracy

99.8%

Counts

564 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.9%	(fma.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
✓	36.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 c c (.f64 d d)))
	18.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)))
✓	55.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
▶	50.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
▶	54.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	24.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
✓	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	41.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	42.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
▶	17.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 b (*.f64 c c))) d))
	18.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c)))))
	38.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d))))
▶	18.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 (/.f64 d c) c))))
▶	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) d))))
	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c)))
	23.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (.f64 (/.f64 a (.f64 d d)) c)))
	19.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* b (/ d (+ (* c c) (* d d)))) (*.f64 (/.f64 (/.f64 b c) c) d)))

Compiler

Compiled 998 to 581 computations (41.8% saved)

simplify26.0ms (0.5%)

Memory

-15.0MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	307
0	53	307
1	94	307
2	185	307
3	406	307
4	852	307
5	1373	307
6	1417	307
7	1432	307
0	1432	288

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

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

localize81.0ms (1.6%)

Memory

-15.8MiB live, 69.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 b c)
accuracy	0.9608092274681044	(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy	3.6876252760995336	(fma.f64 (/.f64 b c) d a)
accuracy	30.988311992428375	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
accuracy	0.109375	(/.f64 (/.f64 d c) c)
accuracy	3.7273027315193277	(.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 (/.f64 d c) c)))
accuracy	27.034806265632728	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 (/.f64 d c) c))))
accuracy	31.86622087328847	#s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) c))
accuracy	7.628467703117655	(/.f64 b (*.f64 c c))
accuracy	11.312396338714322	(.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 b (*.f64 c c))) d)
accuracy	26.83504619382371	#s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c)))
accuracy	27.034806265632728	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 b (*.f64 c c))) d))
accuracy	0.0	(/.f64 #s(literal 1 binary64) d)
accuracy	3.7273027315193277	(.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))
accuracy	27.034806265632728	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) d))))
accuracy	30.084592046544795	#s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))
accuracy	0.0	(/.f64 a d)
accuracy	0.29245492464536543	(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy	2.689412534180851	(fma.f64 (/.f64 a d) c b)
accuracy	28.302244155796494	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))

Samples

54.0ms

256×

valid

Compiler

Compiled 211 to 31 computations (85.3% saved)

Precisions

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

ival-div: 17.0ms (46.1% of total)

ival-mult: 14.0ms (38% of total)

ival-add: 5.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.7%)

Memory

18.1MiB live, 54.4MiB allocated

Counts

20 → 112

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ b (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (/ d c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c))
5.0ms	c	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ b (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (/ d c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c))
3.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ b (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (/ d c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c))
3.0ms	b	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ b (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (/ d c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c))
2.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ b (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (/ d c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c))

simplify155.0ms (3%)

Memory

5.2MiB live, 119.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	464	1942
1	1509	1833
2	5311	1766
0	8207	1703

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 110

Calls

Call 1

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

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

rewrite166.0ms (3.2%)

Memory

16.5MiB live, 139.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	284
0	53	284
1	178	284
2	1276	284
0	8648	265

Stop Event

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

Counts

20 → 229

Calls

Call 1

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

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

eval75.0ms (1.4%)

Memory: -11.3MiB live, 63.3MiB allocated
Compiler: Compiled 13 425 to 1 460 computations (89.1% saved)

prune19.0ms (0.4%)

Memory

5.7MiB live, 42.6MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	2	8	10
Picked	1	4	5
Done	1	3	4
Total	320	18	338

Accuracy

99.8%

Counts

338 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.9%	(fma.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) (.f64 d (/.f64 b (fma.f64 d d (.f64 c c)))))
✓	36.4%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (fma.f64 c c (.f64 d d)))
	18.3%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)))
✓	50.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
✓	54.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	24.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
	20.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
✓	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
✓	41.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	42.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
	19.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
✓	17.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 b (*.f64 c c))) d))
	18.1%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b (/.f64 d #s(approx (+ ( c c) (* d d)) (*.f64 c c)))))
	38.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d))))
✓	42.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 b #s(approx (/ d (+ ( c c) (* d d))) (/.f64 #s(literal 1 binary64) d))))
	23.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (.f64 (/.f64 a (.f64 d d)) c)))
	24.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))

Compiler

Compiled 1 467 to 469 computations (68% saved)

regimes68.0ms (1.3%)

Memory

-13.7MiB live, 107.6MiB allocated

Counts

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

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

Calls

5 calls:

18.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
14.0ms	a
13.0ms	b
10.0ms	c
10.0ms	d

Results

Accuracy	Segments	Branch
65.4%	4	`a`
68.5%	4	`b`
86.5%	5	`c`
81.9%	4	`d`
75.3%	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)

regimes31.0ms (0.6%)

Memory

-8.5MiB live, 30.8MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

7.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

21 → 3

Calls

Call 1

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

6.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes13.0ms (0.3%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

20 → 3

Calls

Call 1

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

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

2 calls:

6.0ms	c
6.0ms	d

Results

Accuracy	Segments	Branch
74.9%	3	`d`
76.1%	3	`c`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes160.0ms (3.1%)

Memory

-33.9MiB live, 17.9MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

147.0ms	c
6.0ms	d
5.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
67.7%	3	`d`
58.9%	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
68.4%	4	`c`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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	b
1.0ms	c
1.0ms	a
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
41.5%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
41.5%	1	`a`
41.5%	1	`c`
41.5%	1	`b`
41.5%	1	`d`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch64.0ms (1.2%)

Memory

15.4MiB live, 86.4MiB 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	6.343945704264994e+107	4.3495195255225036e+108
20.0ms	2.2385419176166842e-68	7.622045687260561e-55
12.0ms	-1.007391137748322e-97	-1.176885332832437e-99
17.0ms	-5.804101415467233e+112	-1.0315507855408566e+108

Samples

37.0ms

496×

valid

Compiler

Compiled 1 196 to 855 computations (28.5% saved)

Precisions

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

ival-mult: 13.0ms (64.1% of total)

ival-add: 4.0ms (19.7% of total)

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

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

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

bsearch38.0ms (0.7%)

Memory

-37.5MiB live, 48.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	678.8000208448105	138186.88656018104
20.0ms	-1.1837768211576885e+94	-7.015128285326499e+69

Samples

21.0ms

288×

valid

Compiler

Compiled 882 to 594 computations (32.7% saved)

Precisions

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

ival-mult: 9.0ms (65.8% of total)

ival-add: 3.0ms (21.9% of total)

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

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

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

bsearch9.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.622045687260561e-55	1.5172244206904522e-54
1.0ms	-1.1837768211576885e+94	-7.015128285326499e+69

Samples

4.0ms

64×

valid

Compiler

Compiled 738 to 498 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (80% of total)

ival-add: 1.0ms (40% of total)

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

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

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

bsearch19.0ms (0.4%)

Memory

26.1MiB live, 26.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.622045687260561e-55	1.5172244206904522e-54
16.0ms	-1.1837768211576885e+94	-7.015128285326499e+69

Samples

11.0ms

160×

valid

Compiler

Compiled 663 to 468 computations (29.4% saved)

Precisions

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

ival-mult: 4.0ms (61.9% of total)

ival-div: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

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

bsearch33.0ms (0.6%)

Memory

10.0MiB live, 47.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.037250191484364e+22	7.106269617987909e+24
19.0ms	-4.0909222476906745e-45	-1.8195145448154784e-56

Samples

20.0ms

272×

valid

Compiler

Compiled 664 to 494 computations (25.6% saved)

Precisions

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

ival-mult: 9.0ms (66.7% of total)

ival-div: 2.0ms (14.8% of total)

ival-add: 2.0ms (14.8% of total)

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

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

simplify20.0ms (0.4%)

Memory

-5.5MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	348
1	96	348
2	158	348
3	256	348
4	368	348
5	493	348
6	499	348

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 c #s(literal -259999999999999999453076066431422509160435694934938926280325627845213327716697026031123790949535153846445146112 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 -2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c #s(literal 1639126877815459/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 c #s(literal 2600000000000000244841741436295875372270963141093777692807692492122379755335908676977612024414165994280321024 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (.f64 d 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 -8999999999999999870754523238056571515968681501720032420213008720127689234579456 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 40000 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 -8999999999999999870754523238056571515968681501720032420213008720127689234579456 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 5176309760092923/3450873173395281893717377931138512726225554486085193277581262111899648 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 -84000000000000000970162911372043192572680266145242570512486719665873398778501791744 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5176309760092923/3450873173395281893717377931138512726225554486085193277581262111899648 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 -2501166927128233/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 749999999999999987417088 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
(if (<=.f64 c #s(literal -259999999999999999453076066431422509160435694934938926280325627845213327716697026031123790949535153846445146112 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 -2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c #s(literal 1639126877815459/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 c #s(literal 2600000000000000244841741436295875372270963141093777692807692492122379755335908676977612024414165994280321024 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (.f64 d 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 -8999999999999999870754523238056571515968681501720032420213008720127689234579456 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 40000 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 (or (<=.f64 c #s(literal -8999999999999999870754523238056571515968681501720032420213008720127689234579456 binary64)) (not (<=.f64 c #s(literal 40000 binary64)))) #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)))
(if (<=.f64 c #s(literal -8999999999999999870754523238056571515968681501720032420213008720127689234579456 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 5176309760092923/3450873173395281893717377931138512726225554486085193277581262111899648 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 (or (<=.f64 c #s(literal -8999999999999999870754523238056571515968681501720032420213008720127689234579456 binary64)) (not (<=.f64 c #s(literal 5176309760092923/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)))) #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)))
(if (<=.f64 c #s(literal -84000000000000000970162911372043192572680266145242570512486719665873398778501791744 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5176309760092923/3450873173395281893717377931138512726225554486085193277581262111899648 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 (or (<=.f64 c #s(literal -84000000000000000970162911372043192572680266145242570512486719665873398778501791744 binary64)) (not (<=.f64 c #s(literal 5176309760092923/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))
(if (<=.f64 d #s(literal -2501166927128233/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 749999999999999987417088 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
(if (or (<=.f64 d #s(literal -2501166927128233/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (not (<=.f64 d #s(literal 749999999999999987417088 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))

soundness532.0ms (10.3%)

Memory

-27.3MiB live, 297.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	623
1	667	571
2	2422	547
3	7277	547
0	8281	503
0	11	32
0	18	32
1	69	32
2	592	32
0	9029	28
0	413	1773
1	1322	1668
2	4551	1612
0	8353	1541

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

Compiler

Compiled 503 to 176 computations (65% saved)

preprocess67.0ms (1.3%)

Memory: 9.5MiB live, 90.5MiB allocated
Compiler: Compiled 798 to 198 computations (75.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	31	224
0	48	218
1	82	218
2	153	218
3	265	218
4	377	218
5	436	218
6	446	218
7	450	218
0	450	211

Iter	Nodes	Cost
0	31	224
0	48	218
1	82	218
2	153	218
3	265	218
4	377	218
5	436	218
6	446	218
7	450	218
0	450	211

start0.0ms (0%)

analyze80.0ms (1.5%)

sample1.2s (22.5%)

explain179.0ms (3.5%)

preprocess39.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.2%)

localize29.0ms (0.6%)

series15.0ms (0.3%)

simplify137.0ms (2.6%)

rewrite127.0ms (2.4%)

eval44.0ms (0.8%)

prune17.0ms (0.3%)

simplify16.0ms (0.3%)

localize76.0ms (1.5%)

series29.0ms (0.6%)

simplify159.0ms (3.1%)

rewrite195.0ms (3.8%)

eval129.0ms (2.5%)

prune31.0ms (0.6%)

simplify168.0ms (3.2%)

localize150.0ms (2.9%)

series31.0ms (0.6%)

simplify188.0ms (3.6%)

rewrite459.0ms (8.8%)

eval69.0ms (1.3%)

prune20.0ms (0.4%)

simplify26.0ms (0.5%)

localize81.0ms (1.6%)

series34.0ms (0.7%)

simplify155.0ms (3%)

rewrite166.0ms (3.2%)

eval75.0ms (1.4%)

prune19.0ms (0.4%)

regimes68.0ms (1.3%)

regimes31.0ms (0.6%)

regimes8.0ms (0.1%)

regimes13.0ms (0.3%)

regimes160.0ms (3.1%)

regimes6.0ms (0.1%)

bsearch64.0ms (1.2%)

bsearch38.0ms (0.7%)

bsearch9.0ms (0.2%)

bsearch19.0ms (0.4%)

bsearch33.0ms (0.6%)

simplify20.0ms (0.4%)

soundness532.0ms (10.3%)

preprocess67.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	31	224
0	48	218
1	82	218
2	153	218
3	265	218
4	377	218
5	436	218
6	446	218
7	450	218
0	450	211