Metrics for Complex division, real part

analyze34.0ms (0.4%)

Memory

-2.6MiB live, 36.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample887.0ms (10.3%)

Memory

30.3MiB live, 1 329.4MiB allocated

Samples

643.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-mult: 234.0ms (57.3% of total)

ival-add: 115.0ms (28.1% of total)

ival-div: 51.0ms (12.5% of total)

ival-true: 6.0ms (1.5% of total)

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

Bogosity

preprocess328.0ms (3.8%)

Memory

5.3MiB live, 48.9MiB allocated

Algorithm

2×	egg-herbie

Rules

2 276×	`times-frac`
1 320×	`div-sub`
1 052×	`distribute-rgt-in`
1 014×	`distribute-lft-in`
984×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	233
1	131	225
2	208	225
3	380	225
4	928	225
5	2424	225
6	3271	225
7	4118	225
8	4999	225
9	5393	225
10	5521	225
11	5690	225
12	5690	225
13	5690	225
14	5690	225
15	6050	225
16	7020	225
17	7172	225
18	7184	225
19	7188	225
20	7196	225
21	7204	225
22	7204	225
23	7312	225
24	7360	225
25	7360	225
0	11	15
1	15	15
0	15	13

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d)))
(/ (- (* b d) (* a c)) (+ (* c c) (* d d)))
(/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d)))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d)))
(/ (- (* b d) (* a c)) (+ (* c c) (* d d)))
(/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d))))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(neg (/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d))))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(neg (/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d))))
(/ (- (* b d) (* a c)) (+ (* c c) (* d d)))
(neg (/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d))))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(neg (/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d)))))
(/ (- (* b d) (* a c)) (+ (* c c) (* d d)))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (+ (* c b) (* a d)) (+ (* c c) (* d d)))
(/ (+ (* c a) (* b d)) (+ (* a a) (* d d)))
(/ (+ (* a c) (* b d)) (+ (* d d) (* a a)))
(/ (+ (* d c) (* b a)) (+ (* c c) (* a a)))
(/ (+ (* a b) (* c d)) (+ (* c c) (* a a)))
(/ (+ (* a b) (* c d)) (+ (* b b) (* d d)))
(/ (+ (* a b) (* c d)) (+ (* d d) (* b b)))
(/ (+ (* a c) (* d b)) (+ (* c c) (* b b)))
(/ (+ (* a c) (* b d)) (+ (* c c) (* b b)))
(/ (+ (* a d) (* b c)) (+ (* d d) (* c c)))
(/ (+ (* c b) (* a d)) (+ (* c c) (* d d)))

explain158.0ms (1.8%)

Memory

-15.6MiB live, 297.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
99	1	(1.824884058177597e-180 -4.1738909537115974e-109 5.705848256203796e+200 -1.0251778485857436e+187)	1	(-1.8411451609083088e-291 -3.371317221945916e+74 -5.291935593370985e-161 -1.3744102391414933e-190)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
1	0	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	0	-	0	-	`a`
0	0	-	0	-	`d`
0	0	-	0	-	`(*.f64 d d)`
0	0	-	0	-	`(*.f64 c c)`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`
0	0	-	0	-	`b`
0	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	50	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	61
↳	`(*.f64 a c)`	overflow	35
↳	`(*.f64 b d)`	overflow	32
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	104
↳	`(*.f64 c c)`	overflow	56
↳	`(*.f64 d d)`	overflow	65
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	33	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	104
↳	`(*.f64 c c)`	overflow	56
↳	`(*.f64 d d)`	overflow	65
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	11	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	61
↳	`(*.f64 a c)`	overflow	35
↳	`(*.f64 b d)`	overflow	32
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	4	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	9
↳	`(*.f64 c c)`	underflow	55
↳	`(*.f64 d d)`	underflow	69
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	1	0
↳	`(*.f64 a c)`	overflow	35
↳	`(*.f64 b d)`	overflow	32
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	1	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	1
↳	`(*.f64 a c)`	underflow	28
↳	`(*.f64 b d)`	underflow	30

Confusion

	Predicted +	Predicted -
+	98	1
-	1	156

Precision

0.98989898989899

Recall

0.98989898989899

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	98	0	1
-	1	0	156

Precision?

0.98989898989899

Recall?

0.98989898989899

Freqs

test

number	freq
0	157
1	98
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 17.0ms (64.3% of total)

ival-add: 5.0ms (18.9% of total)

ival-div: 3.0ms (11.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 b d)
✓	cost-diff	(*.f64 a c)
✓	cost-diff	(+.f64 (.f64 a c) (.f64 b d))
✓	cost-diff	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	15	45
0	15	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.4%)

Memory

-7.3MiB live, 69.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	99.6%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	63.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

21.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 8.0ms (69.2% of total)

ival-div: 2.0ms (17.3% of total)

ival-add: 2.0ms (17.3% of total)

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

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

series14.0ms (0.2%)

Memory

34.4MiB live, 34.4MiB allocated

Counts

5 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite398.0ms (4.6%)

Memory

-8.9MiB live, 710.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 970×	`accelerator-lowering-fma.f32`
5 970×	`accelerator-lowering-fma.f64`
5 332×	`-lowering-.f32`
5 332×	`-lowering-.f64`
2 426×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	51	35
2	428	35
3	5062	35
0	8752	31

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 346

Calls

Call 1

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

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

simplify294.0ms (3.4%)

Memory

-25.2MiB live, 440.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 644×	`accelerator-lowering-fma.f32`
7 644×	`accelerator-lowering-fma.f64`
4 318×	`-lowering-.f32`
4 318×	`-lowering-.f64`
1 834×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1428
1	618	1418
2	1888	1394
3	5755	1392
0	8296	1262

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval52.0ms (0.6%)

Memory: 14.1MiB live, 91.1MiB allocated
Compiler: Compiled 18 631 to 1 045 computations (94.4% saved)

prune78.0ms (0.9%)

Memory

-6.3MiB live, 116.5MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	502	12	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	503	12	515

Accuracy

98.1%

Counts

515 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.5%	(/.f64 (/.f64 (-.f64 (.f64 b (.f64 b (.f64 d d))) (.f64 a (.f64 a (.f64 c c)))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
	50.8%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
▶	50.0%	(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
	38.8%	(/.f64 (.f64 (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))) (.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))) (+.f64 (.f64 c c) (.f64 d d)))
	35.1%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	42.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	41.9%	(/.f64 b d)
▶	37.7%	(/.f64 a c)
▶	62.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
	60.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a c) (.f64 b d))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 d d)) (*.f64 c c))))
	50.8%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
▶	46.5%	(+.f64 (/.f64 a c) (.f64 d (/.f64 b (.f64 c c))))

Compiler

Compiled 484 to 258 computations (46.7% saved)

simplify28.0ms (0.3%)

Memory

-19.0MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(+.f64 (.f64 c c) (.f64 d d))
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
✓	cost-diff	0	(/.f64 b (*.f64 c c))
✓	cost-diff	0	(.f64 d (/.f64 b (.f64 c c)))
✓	cost-diff	0	(/.f64 a c)
✓	cost-diff	128	(+.f64 (/.f64 a c) (.f64 d (/.f64 b (.f64 c c))))
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(/.f64 (*.f64 b d) c)
✓	cost-diff	0	(+.f64 a (/.f64 (*.f64 b d) c))
✓	cost-diff	0	(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
✓	cost-diff	0	(/.f64 a c)
✓	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(+.f64 (.f64 c c) (.f64 d d))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))

Rules

290×	`-lowering-.f32`
290×	`-lowering-.f64`
160×	`times-frac`
136×	`accelerator-lowering-fma.f32`
136×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	157
1	40	157
2	64	155
3	101	155
4	151	155
5	193	155
6	295	155
7	370	155
8	395	155
9	418	155
10	455	155
11	483	155
0	483	144

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
1
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
(+ (* c c) (* d d))
(* c c)
c
(* d d)
d
(+ (* a c) (* b d))
(* a c)
a
(* b d)
b
(/ a c)
a
c
(/ (+ a (/ (* b d) c)) c)
(+ a (/ (* b d) c))
a
(/ (* b d) c)
(* b d)
b
d
c
(+ (/ a c) (* d (/ b (* c c))))
(/ a c)
a
c
(* d (/ b (* c c)))
d
(/ b (* c c))
b
(* c c)
(/ (* b d) (+ (* c c) (* d d)))
(* b d)
b
d
(+ (* c c) (* d d))
(* c c)
c
(* d d)

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

localize76.0ms (0.9%)

Memory

12.6MiB live, 128.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	71.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	96.3%	(+.f64 (/.f64 a c) (.f64 d (/.f64 b (.f64 c c))))
✓	accuracy	89.2%	(/.f64 b (*.f64 c c))
✓	accuracy	88.8%	(.f64 d (/.f64 b (.f64 c c)))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(+.f64 a (/.f64 (*.f64 b d) c))
✓	accuracy	98.8%	(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
✓	accuracy	90.5%	(/.f64 (*.f64 b d) c)
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	99.6%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
✓	accuracy	63.9%	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))

Samples

47.0ms

256×

valid

Compiler

Compiled 161 to 23 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 11.0ms (46.5% of total)

ival-mult: 8.0ms (33.8% of total)

ival-add: 4.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

series59.0ms (0.7%)

Memory

-13.5MiB live, 62.7MiB allocated

Counts

14 → 504

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))>
#<alt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))>
#<alt (+ (* c c) (* d d))>
#<alt (* c c)>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* b d)>
#<alt (+ (/ a c) (* d (/ b (* c c))))>
#<alt (* d (/ b (* c c)))>
#<alt (/ b (* c c))>
#<alt (/ (* b d) (+ (* c c) (* d d)))>
#<alt (+ (* a c) (* b d))>

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

Calls

126 calls:

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

rewrite609.0ms (7.1%)

Memory

17.6MiB live, 413.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 042×	`/-lowering-/.f32`
5 042×	`/-lowering-/.f64`
4 784×	`accelerator-lowering-fma.f32`
4 784×	`accelerator-lowering-fma.f64`
4 516×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	110
1	135	108
2	1186	108
0	8263	98

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 794

Calls

Call 1

Inputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
(+ (* c c) (* d d))
(* c c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b d)
(+ (/ a c) (* d (/ b (* c c))))
(* d (/ b (* c c)))
(/ b (* c c))
(/ (* b d) (+ (* c c) (* d d)))
(+ (* a c) (* b d))

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

simplify832.0ms (9.7%)

Memory

-5.1MiB live, 586.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 168×	`-lowering-.f32`
7 168×	`-lowering-.f64`
6 326×	`accelerator-lowering-fma.f32`
6 326×	`accelerator-lowering-fma.f64`
3 100×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	639	6017
1	2177	5889
0	8087	5568

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

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

eval716.0ms (8.3%)

Memory: 43.1MiB live, 341.0MiB allocated
Compiler: Compiled 33 057 to 2 888 computations (91.3% saved)

prune390.0ms (4.5%)

Memory

-6.7MiB live, 329.4MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 500	10	1 510
Fresh	2	5	7
Picked	2	3	5
Done	0	0	0
Total	1 504	18	1 522

Accuracy

98.8%

Counts

1 522 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.7%	(/.f64 (/.f64 (*.f64 b d) c) c)
	50.8%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
▶	52.0%	(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
	52.0%	(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c)
	38.8%	(/.f64 (.f64 (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))) (.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))) (+.f64 (.f64 c c) (.f64 d d)))
	35.1%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
✓	42.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	26.4%	(/.f64 (.f64 b d) (.f64 d d))
	23.6%	(/.f64 (.f64 b d) (.f64 c c))
▶	41.9%	(/.f64 b d)
✓	37.7%	(/.f64 a c)
	35.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 d d) (.f64 c c)) (*.f64 a c)))
▶	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
	50.8%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
▶	51.0%	(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
✓	46.5%	(+.f64 (/.f64 a c) (.f64 d (/.f64 b (.f64 c c))))
	37.7%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)

Compiler

Compiled 495 to 281 computations (43.2% saved)

simplify60.0ms (0.7%)

Memory

-22.5MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 d c)
✓	cost-diff	0	(/.f64 (/.f64 d c) (/.f64 c b))
✓	cost-diff	0	(/.f64 a c)
✓	cost-diff	128	(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(/.f64 (*.f64 b d) c)
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 b d) c) c)
✓	cost-diff	0	(/.f64 d b)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓	cost-diff	0	(/.f64 b d)
✓	cost-diff	0	(/.f64 c d)
✓	cost-diff	0	(/.f64 b (/.f64 c d))
✓	cost-diff	0	(+.f64 a (/.f64 b (/.f64 c d)))
✓	cost-diff	0	(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)

Rules

268×	`times-frac`
252×	`-lowering-.f32`
252×	`-lowering-.f64`
186×	`/-lowering-/.f32`
186×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	89
1	36	89
2	53	89
3	60	89
4	113	89
5	177	89
6	251	89
7	336	89
8	391	89
9	470	89
10	505	89
11	507	89
0	507	86

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ a (/ b (/ c d))) c)
(+ a (/ b (/ c d)))
a
(/ b (/ c d))
b
(/ c d)
c
d
(/ b d)
b
d
(/ 1 (/ d b))
1
(/ d b)
d
b
(/ (/ (* b d) c) c)
(/ (* b d) c)
(* b d)
b
d
c
(+ (/ a c) (/ (/ d c) (/ c b)))
(/ a c)
a
c
(/ (/ d c) (/ c b))
(/ d c)
d
(/ c b)
b

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

localize119.0ms (1.4%)

Memory

17.8MiB live, 93.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	96.6%	(/.f64 (/.f64 d c) (/.f64 c b))
✓	accuracy	96.3%	(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	98.0%	(/.f64 (/.f64 (*.f64 b d) c) c)
✓	accuracy	90.5%	(/.f64 (*.f64 b d) c)
✓	accuracy	100.0%	(/.f64 d b)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	100.0%	(/.f64 c d)
✓	accuracy	100.0%	(+.f64 a (/.f64 b (/.f64 c d)))
✓	accuracy	98.8%	(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
✓	accuracy	93.2%	(/.f64 b (/.f64 c d))

Samples

99.0ms

256×

valid

Compiler

Compiled 95 to 22 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 80.0ms (95.2% of total)

ival-add: 2.0ms (2.4% of total)

ival-mult: 2.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-20.6MiB live, 18.3MiB allocated

Counts

15 → 480

Calls

Call 1

Inputs
#<alt (/ (+ a (/ b (/ c d))) c)>
#<alt (+ a (/ b (/ c d)))>
#<alt (/ b (/ c d))>
#<alt (/ c d)>
#<alt (/ b d)>
#<alt (/ 1 (/ d b))>
#<alt (/ d b)>
#<alt (/ (/ (* b d) c) c)>
#<alt (/ (* b d) c)>
#<alt (* b d)>
#<alt (+ (/ a c) (/ (/ d c) (/ c b)))>
#<alt (/ a c)>
#<alt (/ (/ d c) (/ c b))>
#<alt (/ d c)>
#<alt (/ c b)>

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

Calls

120 calls:

Time	Variable		Point	Expression
0.0ms	c	@	-inf	(/ c d)
0.0ms	d	@	-inf	(/ d b)
0.0ms	d	@	0	(/ d b)
0.0ms	c	@	0	(/ c d)
0.0ms	d	@	-inf	(/ c d)

rewrite464.0ms (5.4%)

Memory

-10.9MiB live, 569.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 384×	`accelerator-lowering-fma.f32`
7 384×	`accelerator-lowering-fma.f64`
4 032×	`/-lowering-/.f32`
4 032×	`/-lowering-/.f64`
3 880×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	75
1	128	75
2	1303	75
0	8603	72

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 757

Calls

Call 1

Inputs
(/ (+ a (/ b (/ c d))) c)
(+ a (/ b (/ c d)))
(/ b (/ c d))
(/ c d)
(/ b d)
(/ 1 (/ d b))
(/ d b)
(/ (/ (* b d) c) c)
(/ (* b d) c)
(* b d)
(+ (/ a c) (/ (/ d c) (/ c b)))
(/ a c)
(/ (/ d c) (/ c b))
(/ d c)
(/ c b)

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

simplify286.0ms (3.3%)

Memory

6.7MiB live, 450.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 866×	`accelerator-lowering-fma.f32`
4 866×	`accelerator-lowering-fma.f64`
2 812×	`-lowering-.f32`
2 812×	`-lowering-.f64`
1 526×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	2646
1	259	2646
2	844	2646
3	2465	2514
4	4789	2514
5	7056	2514
6	7978	2514
0	8022	2406

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

Outputs
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
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(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ (* b d) (pow c 2))
(/.f64 (.f64 b d) (.f64 c c))
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)

eval139.0ms (1.6%)

Memory: 29.9MiB live, 375.6MiB allocated
Compiler: Compiled 16 681 to 1 544 computations (90.7% saved)

prune131.0ms (1.5%)

Memory

-12.1MiB live, 392.3MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1 232	5	1 237
Fresh	3	7	10
Picked	1	4	5
Done	1	2	3
Total	1 237	18	1 255

Accuracy

98.8%

Counts

1 255 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.7%	(/.f64 (/.f64 (*.f64 b d) c) c)
	25.5%	(/.f64 (/.f64 d c) (/.f64 c b))
▶	25.4%	(/.f64 (/.f64 b (/.f64 c d)) c)
▶	50.8%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
✓	52.0%	(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
	38.8%	(/.f64 (.f64 (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))) (.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))) (+.f64 (.f64 c c) (.f64 d d)))
	35.1%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
✓	42.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	25.4%	(/.f64 (neg.f64 (/.f64 d (*.f64 c (/.f64 #s(literal -1 binary64) b)))) c)
	23.8%	(/.f64 d (/.f64 c (/.f64 b c)))
✓	41.9%	(/.f64 b d)
✓	37.7%	(/.f64 a c)
	35.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 d d) (.f64 c c)) (*.f64 a c)))
✓	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
▶	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
▶	50.8%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
	41.8%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
▶	37.7%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)

Compiler

Compiled 452 to 259 computations (42.7% saved)

simplify21.0ms (0.2%)

Memory

-1.4MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 c a)
✓	cost-diff	0	(/.f64 (*.f64 c a) d)
✓	cost-diff	0	(+.f64 b (/.f64 (*.f64 c a) d))
✓	cost-diff	0	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
✓	cost-diff	0	(/.f64 c d)
✓	cost-diff	0	(/.f64 b (/.f64 c d))
✓	cost-diff	0	(/.f64 (/.f64 b (/.f64 c d)) c)
✓	cost-diff	0	(/.f64 c a)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) c)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓	cost-diff	0	(/.f64 (/.f64 c d) d)
✓	cost-diff	0	(*.f64 a (/.f64 (/.f64 c d) d))
✓	cost-diff	0	(/.f64 b d)
✓	cost-diff	128	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))

Rules

296×	`-lowering-.f32`
296×	`-lowering-.f64`
200×	`times-frac`
198×	`/-lowering-/.f32`
198×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	103
1	39	99
2	57	99
3	105	99
4	141	99
5	249	99
6	327	99
7	402	99
8	458	95
9	483	95
10	488	95
0	488	92

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ b d) (* a (/ (/ c d) d)))
(/ b d)
b
d
(* a (/ (/ c d) d))
a
(/ (/ c d) d)
(/ c d)
c
(* (/ 1 c) a)
(/ 1 c)
1
c
a
(/ 1 (/ c a))
1
(/ c a)
c
a
(/ (/ b (/ c d)) c)
(/ b (/ c d))
b
(/ c d)
c
d
(/ (+ b (/ (* c a) d)) d)
(+ b (/ (* c a) d))
b
(/ (* c a) d)
(* c a)
c
a
d

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

localize73.0ms (0.8%)

Memory

9.5MiB live, 203.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b (/.f64 (*.f64 c a) d))
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	98.8%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
✓	accuracy	91.1%	(/.f64 (*.f64 c a) d)
✓	accuracy	100.0%	(/.f64 c d)
✓	accuracy	98.0%	(/.f64 (/.f64 b (/.f64 c d)) c)
✓	accuracy	93.2%	(/.f64 b (/.f64 c d))
✓	accuracy	100.0%	(/.f64 c a)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) c)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	99.9%	(/.f64 (/.f64 c d) d)
✓	accuracy	95.8%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
✓	accuracy	91.6%	(*.f64 a (/.f64 (/.f64 c d) d))

Samples

50.0ms

256×

valid

Compiler

Compiled 103 to 22 computations (78.6% saved)

Precisions

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

ival-div: 20.0ms (74.2% of total)

ival-mult: 5.0ms (18.6% of total)

ival-add: 2.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

-35.0MiB live, 92.2MiB allocated

Counts

15 → 468

Calls

Call 1

Inputs
#<alt (+ (/ b d) (* a (/ (/ c d) d)))>
#<alt (/ b d)>
#<alt (* a (/ (/ c d) d))>
#<alt (/ (/ c d) d)>
#<alt (* (/ 1 c) a)>
#<alt (/ 1 c)>
#<alt (/ 1 (/ c a))>
#<alt (/ c a)>
#<alt (/ (/ b (/ c d)) c)>
#<alt (/ b (/ c d))>
#<alt (/ c d)>
#<alt (/ (+ b (/ (* c a) d)) d)>
#<alt (+ b (/ (* c a) d))>
#<alt (/ (* c a) d)>
#<alt (* c a)>

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

Calls

117 calls:

Time	Variable		Point	Expression
6.0ms	c	@	0	(/ (/ c d) d)
2.0ms	a	@	-inf	(+ (/ b d) (* a (/ (/ c d) d)))
1.0ms	a	@	inf	(/ 1 (/ c a))
1.0ms	d	@	-inf	(/ (+ b (/ (* c a) d)) d)
0.0ms	a	@	inf	(+ (/ b d) (* a (/ (/ c d) d)))

rewrite352.0ms (4.1%)

Memory

22.0MiB live, 743.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 134×	`accelerator-lowering-fma.f32`
5 134×	`accelerator-lowering-fma.f64`
4 922×	`-lowering-.f32`
4 922×	`-lowering-.f64`
3 444×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	120	79
2	970	75
0	8861	72

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 762

Calls

Call 1

Inputs
(+ (/ b d) (* a (/ (/ c d) d)))
(/ b d)
(* a (/ (/ c d) d))
(/ (/ c d) d)
(* (/ 1 c) a)
(/ 1 c)
(/ 1 (/ c a))
(/ c a)
(/ (/ b (/ c d)) c)
(/ b (/ c d))
(/ c d)
(/ (+ b (/ (* c a) d)) d)
(+ b (/ (* c a) d))
(/ (* c a) d)
(* c a)

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

simplify237.0ms (2.8%)

Memory

-13.4MiB live, 462.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 722×	`accelerator-lowering-fma.f32`
4 722×	`accelerator-lowering-fma.f64`
3 048×	`-lowering-.f32`
3 048×	`-lowering-.f64`
1 626×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	2658
1	266	2658
2	852	2658
3	2470	2526
4	4766	2526
5	7099	2526
0	8008	2418

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

Outputs
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
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(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* b (+ 1 (/ (* a c) (* b d))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* b (+ 1 (/ (* a c) (* b d))))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* c (+ (/ a d) (/ b c)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* c (+ (/ a d) (/ b c)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* c (+ (/ a d) (/ b c)))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* a (+ (/ b a) (/ c d)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* a (+ (/ b a) (/ c d)))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) d)
b
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)

eval148.0ms (1.7%)

Memory: 22.2MiB live, 256.4MiB allocated
Compiler: Compiled 18 983 to 1 498 computations (92.1% saved)

prune115.0ms (1.3%)

Memory

-5.6MiB live, 228.2MiB allocated

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	1 270	8	1 278
Fresh	1	6	7
Picked	1	4	5
Done	1	5	6
Total	1 273	23	1 296

Accuracy

99.8%

Counts

1 296 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.3%	(/.f64 (/.f64 (*.f64 a c) d) d)
	25.5%	(/.f64 (/.f64 d c) (/.f64 c b))
✓	25.4%	(/.f64 (/.f64 b (/.f64 c d)) c)
	22.7%	(/.f64 (+.f64 (/.f64 d b) (.f64 (/.f64 d (.f64 a (/.f64 c d))) #s(literal 1 binary64))) (.f64 (/.f64 d (.f64 a (/.f64 c d))) (/.f64 d b)))
	54.5%	(/.f64 (+.f64 (*.f64 a (/.f64 c d)) b) d)
✓	50.8%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
	53.4%	(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
	54.5%	(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
✓	52.0%	(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
	38.8%	(/.f64 (.f64 (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))) (.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))) (+.f64 (.f64 c c) (.f64 d d)))
	35.1%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
✓	42.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	23.8%	(/.f64 d (/.f64 c (/.f64 b c)))
✓	41.9%	(/.f64 b d)
✓	37.7%	(/.f64 a c)
	35.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 d d) (.f64 c c)) (*.f64 a c)))
✓	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
	25.4%	(+.f64 (/.f64 b d) (.f64 a (exp.f64 (.f64 (log.f64 (/.f64 d (/.f64 c d))) #s(literal -1 binary64)))))
	41.8%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
✓	37.7%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)
	33.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (.f64 b b) (/.f64 (.f64 a c) (/.f64 d (.f64 a (/.f64 c d)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (.f64 a (/.f64 c d)))))
	23.7%	(exp.f64 (.f64 (log.f64 (/.f64 d (+.f64 b (.f64 a (/.f64 c d))))) #s(literal -1 binary64)))

Compiler

Compiled 808 to 331 computations (59% saved)

regimes86.0ms (1%)

Memory

9.5MiB live, 86.4MiB allocated

Counts

36 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 (.f64 b d) (.f64 c c))
(/.f64 (.f64 b d) (.f64 d d))
(/.f64 (/.f64 b (/.f64 c d)) c)
(/.f64 (/.f64 d c) (/.f64 c b))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c)
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
(/.f64 (+.f64 (*.f64 a (/.f64 c d)) b) d)
(/.f64 (neg.f64 (/.f64 d (*.f64 c (/.f64 #s(literal -1 binary64) b)))) c)
(+.f64 (/.f64 a c) (.f64 d (/.f64 b (.f64 c c))))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 d d) (.f64 c c)) (*.f64 a c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a c) (.f64 b d))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 d d)) (*.f64 c c))))
(/.f64 (+.f64 (/.f64 d b) (.f64 (/.f64 d (.f64 a (/.f64 c d))) #s(literal 1 binary64))) (.f64 (/.f64 d (.f64 a (/.f64 c d))) (/.f64 d b)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (.f64 b b) (/.f64 (.f64 a c) (/.f64 d (.f64 a (/.f64 c d)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (.f64 a (/.f64 c d)))))
(/.f64 (/.f64 (-.f64 (.f64 b (.f64 b (.f64 d d))) (.f64 a (.f64 a (.f64 c c)))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))) (.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))) (+.f64 (.f64 c c) (.f64 d d)))
(exp.f64 (.f64 (log.f64 (/.f64 d (+.f64 b (.f64 a (/.f64 c d))))) #s(literal -1 binary64)))
(+.f64 (/.f64 b d) (.f64 a (exp.f64 (.f64 (log.f64 (/.f64 d (/.f64 c d))) #s(literal -1 binary64)))))

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

Calls

5 calls:

40.0ms	b
13.0ms	d
11.0ms	a
10.0ms	c
10.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
68.1%	3	`a`
67.0%	3	`b`
82.8%	5	`c`
88.9%	5	`d`
78.8%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes10.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
83.1%	4	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.2%)

Memory

-25.0MiB live, 13.9MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
81.2%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
81.2%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	d
5.0ms	c

Results

Accuracy	Segments	Branch
67.2%	3	`c`
74.4%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-29.0MiB live, 9.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
74.4%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	c
4.0ms	a
4.0ms	d
4.0ms	b

Results

Accuracy	Segments	Branch
52.0%	4	`b`
59.6%	4	`c`
55.4%	5	`a`
64.1%	3	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-26.7MiB live, 11.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 a c)

Outputs
(/.f64 a c)

Calls

4 calls:

3.0ms	c
1.0ms	a
1.0ms	d
1.0ms	b

Results

Accuracy	Segments	Branch
37.7%	1	`b`
37.7%	1	`a`
37.7%	1	`c`
37.7%	1	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch71.0ms (0.8%)

Memory

-9.0MiB live, 81.1MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	9.777699184453438e+56	2.753725095609712e+70
12.0ms	1.0857162494127051e-131	3.1238532244053925e-128
24.0ms	-4.5885323965189835e-98	-4.635861598109197e-101
14.0ms	-1.7432980719295583e+120	-3.4622655759452354e+113

Samples

48.0ms

560×

valid

Compiler

Compiled 1 212 to 753 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 13.0ms (59.7% of total)

ival-add: 4.0ms (18.4% of total)

ival-div: 3.0ms (13.8% of total)

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

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

bsearch38.0ms (0.4%)

Memory

13.0MiB live, 49.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.2120566597781423e+47	2.5331384786623053e+54
7.0ms	5.556312779367002e-74	1.1888637505089949e-73
12.0ms	-4.5885323965189835e-98	-4.635861598109197e-101

Samples

22.0ms

352×

valid

Compiler

Compiled 666 to 428 computations (35.7% saved)

Precisions

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

ival-mult: 8.0ms (60% of total)

ival-add: 3.0ms (22.5% of total)

ival-div: 2.0ms (15% of total)

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

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

bsearch29.0ms (0.3%)

Memory

-3.1MiB live, 35.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2120566597781423e+47	2.5331384786623053e+54
12.0ms	-4.5885323965189835e-98	-4.635861598109197e-101

Samples

17.0ms

272×

valid

Compiler

Compiled 498 to 324 computations (34.9% saved)

Precisions

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

ival-mult: 6.0ms (57.5% of total)

ival-div: 2.0ms (19.2% of total)

ival-add: 2.0ms (19.2% of total)

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

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

bsearch31.0ms (0.4%)

Memory

-5.6MiB live, 36.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2120566597781423e+47	2.5331384786623053e+54
12.0ms	-4.5885323965189835e-98	-4.635861598109197e-101

Samples

21.0ms

272×

valid

Compiler

Compiled 498 to 324 computations (34.9% saved)

Precisions

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

ival-mult: 6.0ms (43.9% of total)

ival-div: 5.0ms (36.6% of total)

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

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

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

bsearch38.0ms (0.4%)

Memory

13.0MiB live, 51.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.753725095609712e+70	5.501681681996198e+112
15.0ms	-6.039649231878631e-6	-5.232158379488202e-18

Samples

24.0ms

352×

valid

Compiler

Compiled 506 to 348 computations (31.2% saved)

Precisions

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

ival-mult: 8.0ms (59.4% of total)

ival-add: 3.0ms (22.3% of total)

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

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

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

bsearch38.0ms (0.4%)

Memory

15.8MiB live, 53.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.753725095609712e+70	5.501681681996198e+112
15.0ms	-6.039649231878631e-6	-5.232158379488202e-18

Samples

24.0ms

352×

valid

Compiler

Compiled 506 to 348 computations (31.2% saved)

Precisions

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

ival-mult: 8.0ms (53.7% of total)

ival-add: 4.0ms (26.9% of total)

ival-div: 2.0ms (13.4% of total)

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

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

bsearch31.0ms (0.4%)

Memory

-29.2MiB live, 49.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.1888637505089949e-73	3.496648980484713e-71
13.0ms	-4.5885323965189835e-98	-4.635861598109197e-101

Samples

17.0ms

256×

valid

Compiler

Compiled 278 to 210 computations (24.5% saved)

Precisions

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

ival-mult: 6.0ms (60% of total)

ival-div: 2.0ms (20% of total)

ival-add: 2.0ms (20% of total)

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

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

simplify10.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	245
1	99	245

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -359999999999999991931072776714238961408413583406448582555808465872522433558245763113188495373317561016476904718336 binary64)) (/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) (if (<=.f64 d #s(literal -3546180557675503/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1170655706368497/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (+.f64 a (.f64 (/.f64 d c) b)) c) (if (<=.f64 d #s(literal 5200000000000000227786309835635097192261327547896059295701139456 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)))))
(if (<=.f64 d #s(literal -6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) (if (<=.f64 d #s(literal 7511570162733417/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (if (<=.f64 d #s(literal 3599999999999999833326481303847583693526550970368 binary64)) (/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d))))
(if (<=.f64 d #s(literal -6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) (if (<=.f64 d #s(literal 8500000000000000129300750639327632427022389608448 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)))
(if (<=.f64 d #s(literal -6772219815005301/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d) (if (<=.f64 d #s(literal 1249999999999999991526185842952034970577135552430080 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)))
(if (<=.f64 d #s(literal -1770887431076117/295147905179352825856 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 125000000000000001061702679211212872018608740574845076986874887837849613238272 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -6813621976226733/39614081257132168796771975168 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 369999999999999994915117143859159890400235959314788902967470339832135538442240 binary64)) (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -6310477554891303/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 4165082104931963/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

Outputs
(if (<=.f64 d #s(literal -359999999999999991931072776714238961408413583406448582555808465872522433558245763113188495373317561016476904718336 binary64)) (/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) (if (<=.f64 d #s(literal -3546180557675503/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1170655706368497/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (+.f64 a (.f64 (/.f64 d c) b)) c) (if (<=.f64 d #s(literal 5200000000000000227786309835635097192261327547896059295701139456 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)))))
(if (<=.f64 d #s(literal -359999999999999991931072776714238961408413583406448582555808465872522433558245763113188495373317561016476904718336 binary64)) (/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) (if (<=.f64 d #s(literal -3546180557675503/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1170655706368497/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 d #s(literal 5200000000000000227786309835635097192261327547896059295701139456 binary64)) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)))))
(if (<=.f64 d #s(literal -6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) (if (<=.f64 d #s(literal 7511570162733417/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (if (<=.f64 d #s(literal 3599999999999999833326481303847583693526550970368 binary64)) (/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d))))
(if (<=.f64 d #s(literal -6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) (if (<=.f64 d #s(literal 7511570162733417/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (if (<=.f64 d #s(literal 3599999999999999833326481303847583693526550970368 binary64)) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d))))
(if (<=.f64 d #s(literal -6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) (if (<=.f64 d #s(literal 8500000000000000129300750639327632427022389608448 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)))
(if (<=.f64 d #s(literal -6772219815005301/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d) (if (<=.f64 d #s(literal 1249999999999999991526185842952034970577135552430080 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)))
(if (<=.f64 d #s(literal -1770887431076117/295147905179352825856 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 125000000000000001061702679211212872018608740574845076986874887837849613238272 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -6813621976226733/39614081257132168796771975168 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 369999999999999994915117143859159890400235959314788902967470339832135538442240 binary64)) (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -6813621976226733/39614081257132168796771975168 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 369999999999999994915117143859159890400235959314788902967470339832135538442240 binary64)) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -6310477554891303/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 4165082104931963/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

soundness855.0ms (10%)

Memory

2.8MiB live, 445.0MiB allocated

Rules

7 644×	`accelerator-lowering-fma.f32`
7 644×	`accelerator-lowering-fma.f64`
5 134×	`accelerator-lowering-fma.f32`
5 134×	`accelerator-lowering-fma.f64`
5 042×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	120	79
2	970	75
0	8861	72
0	186	1428
1	618	1418
2	1888	1394
3	5755	1392
0	8296	1262
0	21	110
1	135	108
2	1186	108
0	8263	98

Stop Event

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

Compiler

Compiled 651 to 320 computations (50.8% saved)

preprocess96.0ms (1.1%)

Memory: 1.5MiB live, 148.6MiB allocated
Compiler: Compiled 644 to 218 computations (66.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	157
1	40	157
2	64	155
3	101	155
4	151	155
5	193	155
6	295	155
7	370	155
8	395	155
9	418	155
10	455	155
11	483	155
0	483	144

Iter	Nodes	Cost
0	20	89
1	36	89
2	53	89
3	60	89
4	113	89
5	177	89
6	251	89
7	336	89
8	391	89
9	470	89
10	505	89
11	507	89
0	507	86

Iter	Nodes	Cost
0	20	103
1	39	99
2	57	99
3	105	99
4	141	99
5	249	99
6	327	99
7	402	99
8	458	95
9	483	95
10	488	95
0	488	92

Iter	Nodes	Cost
0	21	157
1	40	157
2	64	155
3	101	155
4	151	155
5	193	155
6	295	155
7	370	155
8	395	155
9	418	155
10	455	155
11	483	155
0	483	144

Iter	Nodes	Cost
0	20	89
1	36	89
2	53	89
3	60	89
4	113	89
5	177	89
6	251	89
7	336	89
8	391	89
9	470	89
10	505	89
11	507	89
0	507	86

Iter	Nodes	Cost
0	20	103
1	39	99
2	57	99
3	105	99
4	141	99
5	249	99
6	327	99
7	402	99
8	458	95
9	483	95
10	488	95
0	488	92

analyze34.0ms (0.4%)

sample887.0ms (10.3%)

preprocess328.0ms (3.8%)

explain158.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize33.0ms (0.4%)

series14.0ms (0.2%)

rewrite398.0ms (4.6%)

simplify294.0ms (3.4%)

eval52.0ms (0.6%)

prune78.0ms (0.9%)

simplify28.0ms (0.3%)

localize76.0ms (0.9%)

series59.0ms (0.7%)

rewrite609.0ms (7.1%)

simplify832.0ms (9.7%)

eval716.0ms (8.3%)

prune390.0ms (4.5%)

simplify60.0ms (0.7%)

localize119.0ms (1.4%)

series15.0ms (0.2%)

rewrite464.0ms (5.4%)

simplify286.0ms (3.3%)

eval139.0ms (1.6%)

prune131.0ms (1.5%)

simplify21.0ms (0.2%)

localize73.0ms (0.8%)

series33.0ms (0.4%)

rewrite352.0ms (4.1%)

simplify237.0ms (2.8%)

eval148.0ms (1.7%)

prune115.0ms (1.3%)

regimes86.0ms (1%)

regimes10.0ms (0.1%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch71.0ms (0.8%)

bsearch38.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch31.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch31.0ms (0.4%)

simplify10.0ms (0.1%)

soundness855.0ms (10%)

preprocess96.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	157
1	40	157
2	64	155
3	101	155
4	151	155
5	193	155
6	295	155
7	370	155
8	395	155
9	418	155
10	455	155
11	483	155
0	483	144

Iter	Nodes	Cost
0	20	89
1	36	89
2	53	89
3	60	89
4	113	89
5	177	89
6	251	89
7	336	89
8	391	89
9	470	89
10	505	89
11	507	89
0	507	86

Iter	Nodes	Cost
0	20	103
1	39	99
2	57	99
3	105	99
4	141	99
5	249	99
6	327	99
7	402	99
8	458	95
9	483	95
10	488	95
0	488	92