Metrics for Expression, p14

start0.0ms (0%)

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

analyze341.0ms (7.8%)

Memory

-11.2MiB live, 454.4MiB allocated; 110ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
25%	0%	0%	100%	0%	0%	0%	5
25%	0%	0%	100%	0%	0%	0%	6
25%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
56.3%	0%	0%	100%	0%	0%	0%	9
56.3%	0%	0%	100%	0%	0%	0%	10
56.3%	0%	0%	100%	0%	0%	0%	11
65.6%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 39 to 28 computations (28.2% saved)

sample1.9s (44.1%)

Memory

64.8MiB live, 3 040.0MiB allocated; 755ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 839.0ms

ival-add: 255.0ms (30.4% of total)

ival-<=: 255.0ms (30.4% of total)

const: 145.0ms (17.3% of total)

ival-mult: 115.0ms (13.7% of total)

ival-and: 46.0ms (5.5% of total)

exact: 17.0ms (2% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain154.0ms (3.5%)

Memory

-4.6MiB live, 181.8MiB allocated; 29ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 a (+.f64 (+.f64 b c) d))`
-	-	`(+.f64 b c)`
-	-	`c`
-	-	`a`
-	-	`d`
-	-	`(+.f64 (+.f64 b c) d)`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 5.0ms (54% of total)

ival-mult: 3.0ms (32.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess213.0ms (4.9%)

Memory

34.8MiB live, 130.0MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	116
1	149	108
2	487	105
3	1023	102
4	1713	99
5	2937	99
6	4821	99
7	5670	99
8	5861	99
9	6061	99
10	6349	99
11	6507	99
12	7763	99
13	7880	99
14	7908	99
15	7920	99
16	7920	99
17	7920	99
0	7	7
0	10	7
1	21	7
2	49	7
3	127	7
4	235	7
5	410	7
6	560	7
7	885	7
8	1273	7
9	1518	7
10	1633	7
11	1693	7
0	1693	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs a)

(sort b c d)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 7 to 7 computations (0% saved)

series12.0ms (0.3%)

Memory

-17.0MiB live, 28.3MiB allocated; 7ms collecting garbage

Counts

7 → 34

Calls

Call 1

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

Outputs
(* a (+ b (+ c d)))
a
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ c d)
(+ b (+ c d))
c
(+ b c)
b
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (/ c b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ b d)
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
d
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((* a (+ (+ b c) d)) a (+ (+ b c) d) (+ b c) b c d)
1.0ms	d	@	0	((* a (+ (+ b c) d)) a (+ (+ b c) d) (+ b c) b c d)
1.0ms	a	@	-inf	((* a (+ (+ b c) d)) a (+ (+ b c) d) (+ b c) b c d)
1.0ms	b	@	inf	((* a (+ (+ b c) d)) a (+ (+ b c) d) (+ b c) b c d)
1.0ms	b	@	-inf	((* a (+ (+ b c) d)) a (+ (+ b c) d) (+ b c) b c d)

simplify137.0ms (3.1%)

Memory

4.6MiB live, 151.7MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	154
1	289	154
2	956	154
3	3716	154
0	8699	154

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 30

Calls

Call 1

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

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

rewrite899.0ms (20.5%)

Memory

-144.1MiB live, 394.2MiB allocated; 1.1s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	46	19
2	385	19
3	5557	19
0	9240	19

Stop Event

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

Counts

7 → 231

Calls

Call 1

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

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

eval57.0ms (1.3%)

Memory: 7.2MiB live, 53.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 202 to 785 computations (87.3% saved)

prune38.0ms (0.9%)

Memory

-30.2MiB live, 14.9MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	239	3	242
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	239	4	243

Accuracy

100.0%

Counts

243 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 d b) a (*.f64 c a))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.8%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
▶	94.6%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 37 to 32 computations (13.5% saved)

series12.0ms (0.3%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Counts

12 → 46

Calls

Call 1

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

Outputs
(* a (+ b (+ c d)))
(* a d)
a
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ c d)
(+ b (+ c d))
(+ (* a c) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
d
(+ b d)
b
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ 1 (/ d b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (- (* -1 (/ d b)) 1)))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
c
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ d c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ b c)
(+ (* a b) (* a c))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (/ c d)))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(* d (+ 1 (/ b d)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(* -1 (* d (- (* -1 (/ b d)) 1)))

Calls

12 calls:

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

simplify118.0ms (2.7%)

Memory

-20.5MiB live, 162.0MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	260
1	438	260
2	1308	260
3	4905	260
0	8623	260

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 42

Calls

Call 1

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

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

rewrite191.0ms (4.4%)

Memory

2.6MiB live, 159.0MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	22	54
1	97	54
2	740	54
0	8417	54

Stop Event

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

Counts

12 → 191

Calls

Call 1

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

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

eval28.0ms (0.6%)

Memory: 21.4MiB live, 62.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 5 396 to 675 computations (87.5% saved)

prune10.0ms (0.2%)

Memory

-21.1MiB live, 21.2MiB allocated; 9ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	218	4	222

Accuracy

100.0%

Counts

222 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 d b) a (*.f64 c a))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.8%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
✓	94.6%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 74 to 50 computations (32.4% saved)

regimes13.0ms (0.3%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	d
2.0ms	c
2.0ms	b
2.0ms	a
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 b c)`
100.0%	1	`(+.f64 (+.f64 b c) d)`
100.0%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`c`
100.0%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes23.0ms (0.5%)

Memory

-41.0MiB live, 22.6MiB allocated; 10ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

13.0ms	b
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	a
2.0ms	d
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 b c)`
100.0%	1	`(+.f64 (+.f64 b c) d)`
100.0%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`c`
100.0%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes9.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 b c)`
99.8%	1	`(+.f64 (+.f64 b c) d)`
99.8%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`c`
99.8%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes10.0ms (0.2%)

Memory

-26.6MiB live, 20.3MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	c
1.0ms	(+.f64 (+.f64 b c) d)
1.0ms	d
1.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms	b

Results

Accuracy	Segments	Branch
94.6%	1	`(+.f64 b c)`
94.6%	1	`(+.f64 (+.f64 b c) d)`
94.6%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
94.6%	1	`a`
94.6%	1	`b`
94.6%	1	`c`
94.6%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify33.0ms (0.8%)

Memory

-9.6MiB live, 36.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	29	37
2	57	37
3	135	37
4	243	37
5	418	37
6	568	37
7	893	37
8	1283	37
9	1528	37
10	1643	37
11	1703	37

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations101.0ms (2.3%)

Memory

21.7MiB live, 123.8MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 37 to 18 computations (51.4% saved)

preprocess48.0ms (1.1%)

Memory: -3.1MiB live, 42.9MiB allocated; 6ms collecting garbage
Remove: (negabs a)
Compiler: Compiled 202 to 150 computations (25.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze341.0ms (7.8%)

sample1.9s (44.1%)

explain154.0ms (3.5%)

preprocess213.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series12.0ms (0.3%)

simplify137.0ms (3.1%)

rewrite899.0ms (20.5%)

eval57.0ms (1.3%)

prune38.0ms (0.9%)

series12.0ms (0.3%)

simplify118.0ms (2.7%)

rewrite191.0ms (4.4%)

eval28.0ms (0.6%)

prune10.0ms (0.2%)

regimes13.0ms (0.3%)

regimes23.0ms (0.5%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

simplify33.0ms (0.8%)

derivations101.0ms (2.3%)

preprocess48.0ms (1.1%)

end0.0ms (0%)

Profiling