Metrics for Complex division, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze82.0ms (1.5%)

Memory

5.5MiB live, 61.9MiB allocated; 58ms collecting garbage

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)

sample1.3s (23.4%)

Memory

-6.7MiB live, 1 075.9MiB allocated; 232ms collecting garbage

Samples

821.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 454.0ms

ival-mult: 229.0ms (50.5% of total)

ival-div: 124.0ms (27.3% of total)

ival-add: 89.0ms (19.6% of total)

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

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

adjust: 3.0ms (0.7% of total)

Bogosity

explain145.0ms (2.7%)

Memory

37.9MiB live, 141.4MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
99	-	2	(-1.8397250771146264e+96 -5.896490615300782e-242 -3.558207645186411e-161 -1.2443418065089037e-263)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
1	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	41	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	53
↳	`(*.f64 a c)`	overflow	23
↳	`(*.f64 b d)`	overflow	33
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	101
↳	`(*.f64 c c)`	overflow	50
↳	`(*.f64 d d)`	overflow	62
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	30	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	101
↳	`(*.f64 c c)`	overflow	50
↳	`(*.f64 d d)`	overflow	62
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	12	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	53
↳	`(*.f64 a c)`	overflow	23
↳	`(*.f64 b d)`	overflow	33
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	7	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	19
↳	`(*.f64 c c)`	underflow	58
↳	`(*.f64 d d)`	underflow	73
`/.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	31
↳	`(*.f64 b d)`	underflow	34
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	19
↳	`(*.f64 c c)`	underflow	58
↳	`(*.f64 d d)`	underflow	73
`/.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	31
↳	`(*.f64 b d)`	underflow	34
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	1	0
↳	`(*.f64 a c)`	overflow	23
↳	`(*.f64 b d)`	overflow	33

Confusion

	Predicted +	Predicted -
+	97	2
-	0	157

Precision

1.0

Recall

0.9797979797979798

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	97	0	2
-	0	0	157

Precision?

1.0

Recall?

0.9797979797979798

Freqs

test

number	freq
0	159
1	96
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

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

ival-mult: 13.0ms (63.9% 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)

adjust: 0.0ms (0% of total)

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

preprocess68.0ms (1.3%)

Memory

-26.2MiB live, 65.8MiB allocated; 6ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.2%	(/.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

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

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)

localize30.0ms (0.6%)

Memory

-5.7MiB live, 44.9MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a c)
accuracy	0.0078125	(+.f64 (.f64 c c) (.f64 d d))
accuracy	0.19921875000000003	(+.f64 (.f64 a c) (.f64 b d))
accuracy	23.29669124265217	(/.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: 14.0ms

ival-mult: 11.0ms (76.7% of total)

ival-add: 2.0ms (14% of total)

ival-div: 1.0ms (7% of total)

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

adjust: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-20.2MiB live, 26.3MiB allocated; 4ms collecting garbage

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
3.0ms	c	@	-inf	((+ (* 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))

simplify196.0ms (3.6%)

Memory

2.6MiB live, 152.9MiB allocated; 23ms collecting garbage

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)

rewrite113.0ms (2.1%)

Memory

16.7MiB live, 109.8MiB allocated; 5ms collecting garbage

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)))
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(*.f64 c a)
(*.f64 a c)

eval44.0ms (0.8%)

Memory: 6.0MiB live, 52.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 12 618 to 1 021 computations (91.9% saved)

prune40.0ms (0.8%)

Memory

-16.3MiB live, 36.0MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	336	13	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	337	13	350

Accuracy

100.0%

Counts

350 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.5%	(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
▶	63.2%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
	35.2%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	38.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	55.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 (fma.f64 (/.f64 b c) d a) c)) (+.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 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	53.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
	44.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (.f64 b c) c (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d))
	45.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	42.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	40.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
	39.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))

Compiler

Compiled 610 to 382 computations (37.4% saved)

simplify13.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	224
0	47	209
1	90	209
2	180	209
3	330	209
4	503	209
5	584	209
6	609	209
0	609	209

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.8%)

Memory

-16.7MiB live, 77.3MiB allocated; 4ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.7363260424062386	(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
accuracy	7.525855093090272	(/.f64 a (fma.f64 d d (*.f64 c c)))
accuracy	9.82981458422411	(.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))
accuracy	19.2203810027585	(/.f64 d (fma.f64 d d (*.f64 c c)))
accuracy	0.0	(*.f64 a c)
accuracy	0.19921875000000003	(+.f64 (.f64 a c) (.f64 b d))
accuracy	23.29669124265217	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy	27.052905629254646	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0.0	(*.f64 c c)
accuracy	6.73086264039259	(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy	11.596612945815272	(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
accuracy	24.78269971186349	#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	36.94610741100202	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy	0.0	(fma.f64 d b (*.f64 c a))
accuracy	0.0	(*.f64 c c)
accuracy	0.0	(*.f64 c a)
accuracy	23.29669124265217	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))

Samples

80.0ms

256×

valid

Compiler

Compiled 217 to 26 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 42.0ms (66.9% of total)

ival-add: 11.0ms (17.5% of total)

ival-div: 9.0ms (14.3% of total)

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

adjust: 0.0ms (0% of total)

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

series63.0ms (1.2%)

Memory

-1.9MiB live, 44.4MiB allocated; 3ms collecting garbage

Counts

19 → 124

Calls

Call 1

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

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

Calls

12 calls:

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

simplify162.0ms (3%)

Memory

24.9MiB live, 192.1MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	2500
1	1660	2363
2	5676	2303
0	8536	2214

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 124

Calls

Call 1

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

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

rewrite240.0ms (4.5%)

Memory

14.4MiB live, 260.9MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	186
0	47	171
1	172	171
2	1250	171
0	8839	171

Stop Event

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

Counts

19 → 935

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c))) (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))))
(.f64 (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c))) (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))
(.f64 (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c))) (/.f64 (fma.f64 a c (.f64 b d)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c))) (/.f64 (fma.f64 a c (.f64 b d)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a c (.f64 (neg.f64 d) b))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (*.f64 c c))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 b d (.f64 (neg.f64 a) c))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (*.f64 c c))))
(.f64 (/.f64 (fma.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 a) c)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (fma.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 a) c)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (*.f64 c c))))
(.f64 (/.f64 (fma.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b)) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (fma.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 a) c)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (*.f64 c c))))
(.f64 (/.f64 (fma.f64 (.f64 b d) (fma.f64 b d (.f64 (neg.f64 a) c)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (fma.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b)) (pow.f64 (.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (*.f64 c c))))
(.f64 (/.f64 (fma.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b)) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (fma.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b)) (pow.f64 (.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (*.f64 c c))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 c)) (/.f64 a (fma.f64 d d (.f64 c c)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 c)) (/.f64 a (fma.f64 d d (.f64 c c)))) (.f64 (neg.f64 (neg.f64 c)) (/.f64 a (fma.f64 d d (.f64 c c))))) (.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (.f64 (neg.f64 (neg.f64 c)) (/.f64 a (fma.f64 d d (.f64 c c))))))))
(/.f64 (fma.f64 b (neg.f64 d) (.f64 (neg.f64 c) (neg.f64 a))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 d) b (.f64 (neg.f64 c) (neg.f64 a))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 b) d (.f64 (neg.f64 c) (neg.f64 a))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 b (neg.f64 d) (.f64 c (neg.f64 a))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 d) b (.f64 c (neg.f64 a))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 b) d (.f64 c (neg.f64 a))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 b (neg.f64 d) (.f64 (neg.f64 a) c)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 d) b (.f64 (neg.f64 a) c)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 b) d (.f64 (neg.f64 a) c)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 b (neg.f64 d) (.f64 (neg.f64 c) a)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 d) b (.f64 (neg.f64 c) a)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 c (neg.f64 a) (.f64 b (neg.f64 d))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 a) c (.f64 b (neg.f64 d))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 c) a (.f64 b (neg.f64 d))) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 c (neg.f64 a) (.f64 (neg.f64 d) b)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 a) c (.f64 (neg.f64 d) b)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 c) a (.f64 (neg.f64 d) b)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 c (neg.f64 a) (.f64 (neg.f64 b) d)) (fma.f64 d d (.f64 c c)))
(/.f64 (fma.f64 (neg.f64 a) c (.f64 (neg.f64 b) d)) (fma.f64 d d (.f64 c c)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b d) (fma.f64 d d (.f64 c c))) (.f64 (fma.f64 d d (.f64 c c)) (.f64 a c)))) (neg.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64)))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 b d) #s(literal 2 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))))) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 b d) #s(literal 3 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (fma.f64 a c (.f64 (neg.f64 d) b))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b d) (fma.f64 d d (.f64 c c)) (.f64 (fma.f64 d d (.f64 c c)) (.f64 a c)))) (neg.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 a c) (fma.f64 d d (.f64 c c)) (.f64 (fma.f64 d d (.f64 c c)) (.f64 b d)))) (neg.f64 (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) #s(literal 3 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 b d) a) c)) (pow.f64 (fma.f64 d d (.f64 c c)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a c (.f64 b d))))) (fma.f64 d d (.f64 c c)))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.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 c d) #s(literal 2 binary64))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.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 d d (.f64 c c))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.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 c d) #s(literal 2 binary64))))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.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 d d (.f64 c c))))
(/.f64 (.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (fma.f64 d d (*.f64 c c)))
(/.f64 (.f64 a (-.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 c d) #s(literal 2 binary64))))))
(/.f64 (.f64 a (-.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 d d (*.f64 c c))))
(/.f64 (.f64 a (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (+.f64 (pow.f64 d #s(literal 4 binary64)) (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))))
(/.f64 (.f64 a (-.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 d d (*.f64 c c))))
(/.f64 (.f64 a (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 c d) #s(literal 2 binary64))))))
(/.f64 (.f64 a (+.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #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 c d) #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 c d) #s(literal 2 binary64))))))))
(/.f64 (.f64 a (-.f64 (pow.f64 d #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 c d) #s(literal 2 binary64))))))
(/.f64 (.f64 a (+.f64 (pow.f64 d #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #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 c d) #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 c d) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c)))
(/.f64 a (fma.f64 d d (*.f64 c c)))
(neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c))))

eval170.0ms (3.2%)

Memory: 20.8MiB live, 334.4MiB allocated; 68ms collecting garbage
Compiler: Compiled 47 426 to 3 773 computations (92% saved)

prune35.0ms (0.6%)

Memory

-14.2MiB live, 85.3MiB allocated; 15ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1 267	9	1 276
Fresh	5	3	8
Picked	2	3	5
Done	0	0	0
Total	1 274	15	1 289

Accuracy

100.0%

Counts

1 289 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.2%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
▶	35.2%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
	38.3%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	55.1%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
	53.8%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
	46.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b d) (.f64 a c)) d) b) d))
▶	45.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
	54.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	53.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
✓	42.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	40.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
	31.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b #s(approx (+ ( d d) (* c c)) (*.f64 d d))) d))
▶	39.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
▶	19.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 b (*.f64 c c))) d))
	19.2%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* d d) (* c c))) d) (.f64 (/.f64 d (.f64 c c)) b)))

Compiler

Compiled 676 to 412 computations (39.1% saved)

simplify22.0ms (0.4%)

Memory

-12.3MiB live, 34.6MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	237
0	54	233
1	99	233
2	195	233
3	387	233
4	719	233
5	1072	233
6	1114	233
7	1119	233
0	1119	233

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.3%)

Memory

10.2MiB live, 102.7MiB allocated; 13ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 d d)
accuracy	0.0	(*.f64 c a)
accuracy	23.29669124265217	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
accuracy	27.3239327886708	#s(approx (+ (* d d) (* c c)) (*.f64 d d))
accuracy	0.0	(*.f64 c c)
accuracy	7.525855093090272	(/.f64 a (fma.f64 d d (*.f64 c c)))
accuracy	9.82981458422411	(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
accuracy	28.292929156492004	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
accuracy	7.437531984388058	(/.f64 b (*.f64 c c))
accuracy	11.596612945815272	(.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 b (*.f64 c c))) d)
accuracy	24.78269971186349	#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	24.92041180657356	#s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c)))
accuracy	0.0	(/.f64 b d)
accuracy	34.975989266654885	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
accuracy	0.0	(/.f64 d c)
accuracy	0.5220556416471678	(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy	3.383853785661411	(fma.f64 (/.f64 d c) b a)
accuracy	28.439756032601046	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))

Samples

48.0ms

256×

valid

Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions

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

ival-mult: 14.0ms (44.6% of total)

ival-div: 12.0ms (38.2% of total)

ival-add: 5.0ms (15.9% of total)

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

adjust: 0.0ms (0% of total)

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

series32.0ms (0.6%)

Memory

-7.6MiB live, 36.9MiB allocated; 9ms collecting garbage

Counts

20 → 123

Calls

Call 1

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

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

Calls

12 calls:

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

simplify194.0ms (3.6%)

Memory

46.2MiB live, 334.2MiB allocated; 70ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	2285
1	1582	2152
2	5571	2088
0	8375	2007

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 122

Calls

Call 1

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

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

rewrite136.0ms (2.5%)

Memory

-9.8MiB live, 183.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	218
0	54	214
1	185	214
2	1255	214
0	8584	214

Stop Event

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

Counts

20 → 486

Calls

Call 1

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

eval82.0ms (1.5%)

Memory: -13.3MiB live, 128.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 26 870 to 2 770 computations (89.7% saved)

prune20.0ms (0.4%)

Memory

-5.2MiB live, 41.1MiB allocated; 3ms collecting garbage

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	599	9	608
Fresh	4	3	7
Picked	0	5	5
Done	0	3	3
Total	603	20	623

Accuracy

100.0%

Counts

623 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.2%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
✓	35.2%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
▶	38.3%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
▶	29.4%	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 b d)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
	54.3%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
	52.8%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 b (/.f64 (/.f64 d c) c) (/.f64 a c)))
✓	55.1%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
	53.8%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
▶	54.7%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	46.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b d) (.f64 a c)) d) b) d))
	21.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
✓	45.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
	19.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (.f64 (/.f64 d (.f64 c c)) b)))
✓	42.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	40.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
✓	39.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
▶	21.0%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) c))
▶	20.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
✓	19.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 b (*.f64 c c))) d))
	42.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c (fma.f64 c c (.f64 d d)))))

Compiler

Compiled 834 to 510 computations (38.8% saved)

simplify31.0ms (0.6%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	293
0	51	290
1	98	290
2	193	290
3	389	290
4	740	290
5	1116	290
6	1177	290
7	1191	290
8	1193	290
9	1196	290
10	1200	290
11	1204	290
0	1204	276

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.5%)

Memory

3.7MiB live, 145.9MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 b d)
accuracy	0.24999724760556022	(fma.f64 a c (*.f64 b d))
accuracy	23.29669124265217	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
accuracy	27.052905629254646	#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy	0.1171875	(/.f64 (/.f64 b c) c)
accuracy	11.596612945815272	(.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 (/.f64 b c) c)) d)
accuracy	24.78269971186349	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
accuracy	24.92041180657356	#s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c))
accuracy	0.0	(*.f64 b d)
accuracy	23.29669124265217	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 b d)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
accuracy	27.3239327886708	#s(approx (+ (* d d) (* c c)) (*.f64 d d))
accuracy	28.06700280470143	#s(approx (+ (* d b) (* c a)) (*.f64 b d))
accuracy	7.525855093090272	(/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
accuracy	9.82981458422411	(.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) c)
accuracy	27.3239327886708	#s(approx (+ (* d d) (* c c)) (*.f64 d d))
accuracy	28.292929156492004	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 d d))) c))
accuracy	0.0	(/.f64 b c)
accuracy	0.5220556416471678	(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy	2.8658380089591122	(fma.f64 (/.f64 b c) d a)
accuracy	28.439756032601046	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))

Samples

58.0ms

256×

valid

Compiler

Compiled 210 to 27 computations (87.1% saved)

Precisions

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

ival-mult: 24.0ms (59.6% of total)

ival-div: 11.0ms (27.3% of total)

ival-add: 5.0ms (12.4% of total)

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

adjust: 0.0ms (0% of total)

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

series113.0ms (2.1%)

Memory

-10.1MiB live, 91.4MiB allocated; 123ms collecting garbage

Counts

18 → 123

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
88.0ms	c	@	inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b 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))) (+ (* a c) (* b d)) (+ (* c c) (* d d)))
6.0ms	a	@	0	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b 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))) (+ (* a c) (* b d)) (+ (* c c) (* d d)))
3.0ms	b	@	-inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b 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))) (+ (* a c) (* b d)) (+ (* c c) (* d d)))
2.0ms	b	@	inf	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b 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))) (+ (* a c) (* b d)) (+ (* c c) (* d d)))
2.0ms	b	@	0	((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b 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))) (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify181.0ms (3.4%)

Memory

-14.3MiB live, 177.2MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	2285
1	1582	2152
2	5558	2088
0	8354	2007

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 122

Calls

Call 1

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

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

rewrite138.0ms (2.6%)

Memory

25.3MiB live, 157.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	251
0	51	248
1	186	248
2	1247	248
0	8546	235

Stop Event

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

Counts

18 → 267

Calls

Call 1

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

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

eval85.0ms (1.6%)

Memory: -36.3MiB live, 68.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 17 082 to 1 569 computations (90.8% saved)

prune18.0ms (0.3%)

Memory

34.1MiB live, 34.1MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	381	4	385
Fresh	1	6	7
Picked	1	4	5
Done	1	7	8
Total	384	21	405

Accuracy

100.0%

Counts

405 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.2%	(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
✓	35.2%	(/.f64 (fma.f64 d b (.f64 c a)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
✓	38.3%	(/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	29.4%	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 b d)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
	19.8%	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 b d)) #s(approx (+ ( d d) (* c c)) (*.f64 c c)))
	19.0%	(/.f64 #s(approx (+ (* d b) (* c a)) (.f64 a c)) #s(approx (+ ( d d) (* c c)) (*.f64 d d)))
	54.3%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
	52.8%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 b (/.f64 (/.f64 d c) c) (/.f64 a c)))
✓	55.1%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
	53.8%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
✓	54.7%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
	46.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 c) c) (/.f64 b d) (.f64 a c)) d) b) d))
	21.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
✓	45.4%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
	19.2%	#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (.f64 (/.f64 d (.f64 c c)) b)))
✓	42.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	40.7%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d))
✓	39.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c))
	29.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 a #s(approx (+ ( d d) (* c c)) (*.f64 c c))) c))
✓	20.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ b (+ ( d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
	19.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 a (/.f64 c #s(approx (+ ( c c) (* d d)) (*.f64 d d)))))

Compiler

Compiled 1 440 to 468 computations (67.5% saved)

regimes49.0ms (0.9%)

Memory

3.5MiB live, 49.5MiB allocated; 3ms collecting garbage

Counts

36 → 5

Calls

Call 1

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

Calls

5 calls:

11.0ms	d
9.0ms	c
9.0ms	a
9.0ms	b
8.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
77.0%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
69.8%	4	`a`
67.9%	3	`b`
83.3%	5	`c`
90.2%	5	`d`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes28.0ms (0.5%)

Memory

-33.3MiB live, 13.6MiB allocated; 1ms collecting garbage

Counts

33 → 4

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
87.5%	4	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
85.2%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.8%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

23 → 3

Calls

Call 1

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

Outputs

#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 a d) c b) d))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.8%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes21.0ms (0.4%)

Memory

-36.0MiB live, 15.4MiB allocated; 5ms collecting garbage

Counts

21 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.6%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
71.6%	3	`c`
76.2%	4	`d`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes12.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

20 → 5

Calls

Call 1

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

Calls

2 calls:

6.0ms	c
5.0ms	d

Results

Accuracy	Segments	Branch
67.4%	4	`c`
73.9%	5	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes6.0ms (0.1%)

Memory

9.4MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

18 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
72.2%	4	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.3%	3	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

-34.3MiB live, 12.1MiB allocated; 2ms collecting garbage

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:

2.0ms	a
1.0ms	d
1.0ms	b
1.0ms	c
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
42.3%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
42.3%	1	`c`
42.3%	1	`b`
42.3%	1	`a`
42.3%	1	`d`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch60.0ms (1.1%)

Memory

18.6MiB live, 65.5MiB allocated; 2ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	1.1497193411369526e+76	1.964993275119251e+78
13.0ms	8.098964297193924e-129	5.033910490528947e-126
18.0ms	-1.3426192470188732e-50	-9.340015500968784e-62
12.0ms	-7.612730568912874e+166	-2.5755128033519865e+165

Samples

35.0ms

512×

valid

Compiler

Compiled 1 321 to 867 computations (34.4% saved)

Precisions

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

ival-mult: 14.0ms (65.6% of total)

ival-add: 4.0ms (18.8% of total)

ival-div: 3.0ms (14.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch11.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.1497193411369526e+76	1.964993275119251e+78
1.0ms	8.098964297193924e-129	5.033910490528947e-126
8.0ms	-1.7021078049537295e+69	-7.436702828578952e+68

Samples

5.0ms

80×

valid

Compiler

Compiled 813 to 568 computations (30.1% saved)

Precisions

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

ival-mult: 2.0ms (63.9% of total)

ival-add: 1.0ms (32% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch19.0ms (0.4%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.35038658630718e-11	14102480.949340533
1.0ms	-1.7021078049537295e+69	-7.436702828578952e+68

Samples

10.0ms

160×

valid

Compiler

Compiled 738 to 498 computations (32.5% saved)

Precisions

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

ival-mult: 4.0ms (64.9% of total)

ival-div: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.35038658630718e-11	14102480.949340533
1.0ms	-1.7021078049537295e+69	-7.436702828578952e+68

Compiler

Compiled 738 to 498 computations (32.5% saved)

bsearch2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.35038658630718e-11	14102480.949340533
1.0ms	-1.7021078049537295e+69	-7.436702828578952e+68

Compiler

Compiled 738 to 498 computations (32.5% saved)

bsearch90.0ms (1.7%)

Memory

-15.1MiB live, 31.5MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	9.35038658630718e-11	14102480.949340533
10.0ms	2.9982493503993143e-204	4.33716270707183e-203
60.0ms	-1.3426192470188732e-50	-9.340015500968784e-62

Samples

70.0ms

384×

valid

Compiler

Compiled 1 090 to 770 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (59.4% of total)

ival-add: 3.0ms (19.8% of total)

ival-div: 2.0ms (13.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch53.0ms (1%)

Memory

-13.9MiB live, 41.3MiB allocated; 9ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	9.35038658630718e-11	14102480.949340533
1.0ms	2.9982493503993143e-204	4.33716270707183e-203
18.0ms	-9.340015500968784e-62	-8.444537422700785e-65
16.0ms	-4.142974274947567e+81	-1.7021078049537295e+69

Samples

32.0ms

416×

valid

Compiler

Compiled 1 420 to 1 008 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (60.6% of total)

ival-add: 3.0ms (18.2% of total)

ival-div: 2.0ms (12.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	9.35038658630718e-11	14102480.949340533
1.0ms	-9.340015500968784e-62	-8.444537422700785e-65
1.0ms	-4.142974274947567e+81	-1.7021078049537295e+69

Compiler

Compiled 1 208 to 856 computations (29.1% saved)

bsearch16.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.35038658630718e-11	14102480.949340533
13.0ms	-1.3426192470188732e-50	-9.340015500968784e-62

Samples

9.0ms

128×

valid

Compiler

Compiled 778 to 578 computations (25.7% saved)

Precisions

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

ival-mult: 3.0ms (57.9% of total)

ival-div: 1.0ms (19.3% of total)

ival-add: 1.0ms (19.3% of total)

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

adjust: 0.0ms (0% of total)

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

simplify26.0ms (0.5%)

Memory

-7.8MiB live, 39.1MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	764
1	141	764
2	207	764
3	309	764
4	429	764
5	536	764
6	536	764

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -2600000000000000106930166363083021187290832732430309717248303660869141745395394045617399778427471538698989708126250345091947877783074563247836849823485182549075951616 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal -4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))) (if (<=.f64 d #s(literal 8840889449137087/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (/ (+ ( d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 550000000000000035524702238301949927287550631479640307168546987116160736034816 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))))
(if (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal 8840889449137087/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 550000000000000035524702238301949927287550631479640307168546987116160736034816 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)))))
(if (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal 3000 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))
(if (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal 3000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))
(if (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 3000 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 d #s(literal -970558080017423/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 1323756543144477/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 7350268983256945/77371252455336267181195264 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 c 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 -1549999999999999993830434673694868617709860488079210521090102187994771809808416768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -4353782555323089/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 1323756543144477/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -1549999999999999993830434673694868617709860488079210521090102187994771809808416768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -4353782555323089/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 3246626956972881/295147905179352825856 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -5265614583427859/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3246626956972881/295147905179352825856 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
(if (<=.f64 d #s(literal -2600000000000000106930166363083021187290832732430309717248303660869141745395394045617399778427471538698989708126250345091947877783074563247836849823485182549075951616 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal -4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))) (if (<=.f64 d #s(literal 8840889449137087/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (/ (+ ( d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 550000000000000035524702238301949927287550631479640307168546987116160736034816 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))))
(if (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal 8840889449137087/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 550000000000000035524702238301949927287550631479640307168546987116160736034816 binary64)) (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)))))
(if (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal 3000 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))
(if (or (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) (not (<=.f64 d #s(literal 3000 binary64)))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)))
(if (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal 3000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))
(if (or (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) (not (<=.f64 d #s(literal 3000 binary64)))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))
(if (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 3000 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 (or (<=.f64 d #s(literal -749999999999999958617605982028872697222091610340567490467462480134144 binary64)) (not (<=.f64 d #s(literal 3000 binary64)))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))
(if (<=.f64 d #s(literal -970558080017423/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 1323756543144477/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 7350268983256945/77371252455336267181195264 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 c 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 -970558080017423/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 1323756543144477/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 a c)) (if (<=.f64 d #s(literal 7350268983256945/77371252455336267181195264 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (/ (+ ( d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -1549999999999999993830434673694868617709860488079210521090102187994771809808416768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -4353782555323089/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 1323756543144477/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -1549999999999999993830434673694868617709860488079210521090102187994771809808416768 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d)) (if (<=.f64 d #s(literal -4353782555323089/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 1323756543144477/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 a c)) (if (<=.f64 d #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 (fma.f64 a c (.f64 b d)) #s(approx (+ ( c c) (* d d)) (.f64 c c))) #s(approx (/ (+ ( d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -1549999999999999993830434673694868617709860488079210521090102187994771809808416768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -4353782555323089/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 3246626956972881/295147905179352825856 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -1549999999999999993830434673694868617709860488079210521090102187994771809808416768 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d)) (if (<=.f64 d #s(literal -4353782555323089/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)) (if (<=.f64 d #s(literal 3246626956972881/295147905179352825856 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 a c)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -5265614583427859/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3246626956972881/295147905179352825856 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 -5265614583427859/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (not (<=.f64 d #s(literal 3246626956972881/295147905179352825856 binary64)))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 a c))

derivations845.0ms (15.7%)

Memory

-7.9MiB live, 418.2MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	2500
1	1660	2363
2	5676	2303
0	8536	2214
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	30	186
0	47	171
1	172	171
2	1250	171
0	8839	171

Stop Event

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

Compiler

Compiled 764 to 97 computations (87.3% saved)

preprocess112.0ms (2.1%)

Memory: 2.0MiB live, 47.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 630 to 256 computations (84.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	30	224
0	47	209
1	90	209
2	180	209
3	330	209
4	503	209
5	584	209
6	609	209
0	609	209

Iter	Nodes	Cost
0	30	224
0	47	209
1	90	209
2	180	209
3	330	209
4	503	209
5	584	209
6	609	209
0	609	209

start0.0ms (0%)

analyze82.0ms (1.5%)

sample1.3s (23.4%)

explain145.0ms (2.7%)

preprocess68.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.2%)

localize30.0ms (0.6%)

series16.0ms (0.3%)

simplify196.0ms (3.6%)

rewrite113.0ms (2.1%)

eval44.0ms (0.8%)

prune40.0ms (0.8%)

simplify13.0ms (0.2%)

localize97.0ms (1.8%)

series63.0ms (1.2%)

simplify162.0ms (3%)

rewrite240.0ms (4.5%)

eval170.0ms (3.2%)

prune35.0ms (0.6%)

simplify22.0ms (0.4%)

localize72.0ms (1.3%)

series32.0ms (0.6%)

simplify194.0ms (3.6%)

rewrite136.0ms (2.5%)

eval82.0ms (1.5%)

prune20.0ms (0.4%)

simplify31.0ms (0.6%)

localize79.0ms (1.5%)

series113.0ms (2.1%)

simplify181.0ms (3.4%)

rewrite138.0ms (2.6%)

eval85.0ms (1.6%)

prune18.0ms (0.3%)

regimes49.0ms (0.9%)

regimes28.0ms (0.5%)

regimes8.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch60.0ms (1.1%)

bsearch11.0ms (0.2%)

bsearch19.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch90.0ms (1.7%)

bsearch53.0ms (1%)

bsearch3.0ms (0.1%)

bsearch16.0ms (0.3%)

simplify26.0ms (0.5%)

derivations845.0ms (15.7%)

preprocess112.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	224
0	47	209
1	90	209
2	180	209
3	330	209
4	503	209
5	584	209
6	609	209
0	609	209