Metrics for Expression, p14

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze434.0ms (9.4%)

Memory

7.7MiB live, 430.2MiB allocated; 67ms 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 (40.3%)

Memory

11.4MiB live, 2 198.1MiB allocated; 470ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 808.0ms

ival-<=: 373.0ms (46.2% of total)

const: 147.0ms (18.2% of total)

ival-add: 126.0ms (15.6% of total)

ival-mult: 95.0ms (11.8% of total)

ival-and: 45.0ms (5.6% of total)

exact: 16.0ms (2% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain99.0ms (2.1%)

Memory

43.6MiB live, 134.3MiB allocated; 8ms 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

63.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 44.0ms (92.4% of total)

ival-mult: 3.0ms (6.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess234.0ms (5.1%)

Memory

-12.5MiB live, 138.5MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	115
1	149	115
2	481	112
3	1017	109
4	1703	106
5	2923	106
6	4808	106
7	5658	106
8	5850	106
9	6050	106
10	6338	106
11	6496	106
12	7752	106
13	7869	106
14	7897	106
15	7909	106
16	7909	106
17	7909	106
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
▶	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify48.0ms (1%)

Memory

-9.0MiB live, 33.0MiB allocated; 21ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	21	19
2	49	19
3	127	19
4	235	19
5	410	19
6	560	19
7	885	19
8	1273	19
9	1518	19
10	1633	19
11	1693	19
0	1693	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize58.0ms (1.3%)

Memory

-30.5MiB live, 77.5MiB allocated; 38ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 b c) d)
accuracy	0.0	(+.f64 b c)
accuracy	0.05078125	(*.f64 a (+.f64 (+.f64 b c) d))

Samples

43.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (45.5% of total)

ival-mult: 2.0ms (45.5% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

3 → 36

Calls

Call 1

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

Outputs
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b (+ c d)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ c d))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a b) (* a (+ c d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ c d)))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b (+ c d))))
#s(approx (+ b c) #s(hole binary64 c))
#s(approx (+ b c) #s(hole binary64 (+ b c)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a b)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* b (+ a (/ (* a (+ c d)) b)))))
#s(approx (+ (+ b c) d) #s(hole binary64 b))
#s(approx (+ (+ b c) d) #s(hole binary64 (* b (+ 1 (+ (/ c b) (/ d b))))))
#s(approx (+ b c) #s(hole binary64 b))
#s(approx (+ b c) #s(hole binary64 (* b (+ 1 (/ c b)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))))
#s(approx (+ b c) #s(hole binary64 (* -1 (* b (- (* -1 (/ c b)) 1)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b d))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a c) (* a (+ b d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b d)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a c)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* c (+ a (/ (* a (+ b d)) c)))))
#s(approx (+ (+ b c) d) #s(hole binary64 c))
#s(approx (+ (+ b c) d) #s(hole binary64 (* c (+ 1 (+ (/ b c) (/ d c))))))
#s(approx (+ b c) #s(hole binary64 (* c (+ 1 (/ b c)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))))
#s(approx (+ b c) #s(hole binary64 (* -1 (* c (- (* -1 (/ b c)) 1)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b c))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a d) (* a (+ b c)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b c)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a d)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* d (+ a (/ (* a (+ b c)) d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 d))
#s(approx (+ (+ b c) d) #s(hole binary64 (* d (+ 1 (+ (/ b d) (/ c d))))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))))

Calls

12 calls:

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

simplify178.0ms (3.8%)

Memory

-0.6MiB live, 142.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	392
1	329	392
2	994	392
3	3757	392
0	8741	392

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b (+ c d)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ c d))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a b) (* a (+ c d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ c d)))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b (+ c d))))
#s(approx (+ b c) #s(hole binary64 c))
#s(approx (+ b c) #s(hole binary64 (+ b c)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a b)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* b (+ a (/ (* a (+ c d)) b)))))
#s(approx (+ (+ b c) d) #s(hole binary64 b))
#s(approx (+ (+ b c) d) #s(hole binary64 (* b (+ 1 (+ (/ c b) (/ d b))))))
#s(approx (+ b c) #s(hole binary64 b))
#s(approx (+ b c) #s(hole binary64 (* b (+ 1 (/ c b)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))))
#s(approx (+ b c) #s(hole binary64 (* -1 (* b (- (* -1 (/ c b)) 1)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b d))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a c) (* a (+ b d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b d)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a c)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* c (+ a (/ (* a (+ b d)) c)))))
#s(approx (+ (+ b c) d) #s(hole binary64 c))
#s(approx (+ (+ b c) d) #s(hole binary64 (* c (+ 1 (+ (/ b c) (/ d c))))))
#s(approx (+ b c) #s(hole binary64 (* c (+ 1 (/ b c)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))))
#s(approx (+ b c) #s(hole binary64 (* -1 (* c (- (* -1 (/ b c)) 1)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b c))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a d) (* a (+ b c)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b c)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a d)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* d (+ a (/ (* a (+ b c)) d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 d))
#s(approx (+ (+ b c) d) #s(hole binary64 (* d (+ 1 (+ (/ b d) (/ c d))))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))))

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

rewrite246.0ms (5.3%)

Memory

-2.1MiB live, 227.1MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	46	15
2	385	15
3	5557	15
0	9240	15

Stop Event

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

Counts

3 → 227

Calls

Call 1

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

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)))
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(/.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)

eval48.0ms (1%)

Memory: 3.4MiB live, 46.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 230 to 799 computations (87.2% saved)

prune4.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	241	3	244
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	241	4	245

Accuracy

100.0%

Counts

245 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 d b) a (*.f64 c a))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.7%	(*.f64 a (+.f64 #s(approx (+ b c) c) d))
▶	94.0%	(*.f64 a #s(approx (+ (+ b c) d) d))

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify37.0ms (0.8%)

Memory

3.6MiB live, 46.5MiB allocated; 10ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	21	59
1	43	59
2	82	59
3	185	59
4	328	59
5	513	59
6	761	59
7	1182	59
8	1584	59
9	1754	59
10	1859	59
0	1859	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (1.6%)

Memory

-7.1MiB live, 54.5MiB allocated; 42ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 d b)
accuracy	0.0	(*.f64 c a)
accuracy	0.00390625	(fma.f64 (+.f64 d b) a (*.f64 c a))
accuracy	0.0	(+.f64 #s(approx (+ b c) c) d)
accuracy	0.05078125	(*.f64 a (+.f64 #s(approx (+ b c) c) d))
accuracy	3.7787450216747747	#s(approx (+ b c) c)
accuracy	0.05078125	(*.f64 a #s(approx (+ (+ b c) d) d))
accuracy	3.8184739963458996	#s(approx (+ (+ b c) d) d)

Samples

22.0ms

256×

valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

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

ival-add: 7.0ms (60.3% of total)

ival-mult: 4.0ms (34.4% of total)

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

adjust: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

8 → 60

Calls

Call 1

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

Outputs
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b (+ c d)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a (+ b (+ c d)))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ c d))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a b) (* a (+ c d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ c d)))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b (+ c d))))
#s(approx (+ b c) #s(hole binary64 c))
#s(approx (+ b c) #s(hole binary64 (+ b c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a c) (* a d))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a b) (+ (* a c) (* a d)))))
#s(approx (+ d b) #s(hole binary64 d))
#s(approx (+ d b) #s(hole binary64 (+ b d)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a b)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* b (+ a (/ (* a (+ c d)) b)))))
#s(approx (+ (+ b c) d) #s(hole binary64 b))
#s(approx (+ (+ b c) d) #s(hole binary64 (* b (+ 1 (+ (/ c b) (/ d b))))))
#s(approx (+ b c) #s(hole binary64 b))
#s(approx (+ b c) #s(hole binary64 (* b (+ 1 (/ c b)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a b)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))))
#s(approx (+ d b) #s(hole binary64 b))
#s(approx (+ d b) #s(hole binary64 (* b (+ 1 (/ d b)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))))
#s(approx (+ b c) #s(hole binary64 (* -1 (* b (- (* -1 (/ c b)) 1)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))))
#s(approx (+ d b) #s(hole binary64 (* -1 (* b (- (* -1 (/ d b)) 1)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b d))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a c) (* a (+ b d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b d)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a (+ b d))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a c) (* a (+ b d)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a c)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* c (+ a (/ (* a (+ b d)) c)))))
#s(approx (+ (+ b c) d) #s(hole binary64 c))
#s(approx (+ (+ b c) d) #s(hole binary64 (* c (+ 1 (+ (/ b c) (/ d c))))))
#s(approx (+ b c) #s(hole binary64 (* c (+ 1 (/ b c)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* c (+ a (/ (* a (+ b d)) c)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))))
#s(approx (+ b c) #s(hole binary64 (* -1 (* c (- (* -1 (/ b c)) 1)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b c))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a d) (* a (+ b c)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a b) (* a c))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a d)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* d (+ a (/ (* a (+ b c)) d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 d))
#s(approx (+ (+ b c) d) #s(hole binary64 (* d (+ 1 (+ (/ b d) (/ c d))))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a d)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))))
#s(approx (+ d b) #s(hole binary64 (* d (+ 1 (/ b d)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))))
#s(approx (+ d b) #s(hole binary64 (* -1 (* d (- (* -1 (/ b d)) 1)))))

Calls

12 calls:

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

simplify191.0ms (4.1%)

Memory

-25.5MiB live, 250.8MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	784
1	529	784
2	1398	784
3	5000	784
0	8084	765

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b (+ c d)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a (+ b (+ c d)))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ c d))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a b) (* a (+ c d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ c d)))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b (+ c d))))
#s(approx (+ b c) #s(hole binary64 c))
#s(approx (+ b c) #s(hole binary64 (+ b c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a c) (* a d))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a b) (+ (* a c) (* a d)))))
#s(approx (+ d b) #s(hole binary64 d))
#s(approx (+ d b) #s(hole binary64 (+ b d)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a b)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* b (+ a (/ (* a (+ c d)) b)))))
#s(approx (+ (+ b c) d) #s(hole binary64 b))
#s(approx (+ (+ b c) d) #s(hole binary64 (* b (+ 1 (+ (/ c b) (/ d b))))))
#s(approx (+ b c) #s(hole binary64 b))
#s(approx (+ b c) #s(hole binary64 (* b (+ 1 (/ c b)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a b)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))))
#s(approx (+ d b) #s(hole binary64 b))
#s(approx (+ d b) #s(hole binary64 (* b (+ 1 (/ d b)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))))
#s(approx (+ b c) #s(hole binary64 (* -1 (* b (- (* -1 (/ c b)) 1)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))))
#s(approx (+ d b) #s(hole binary64 (* -1 (* b (- (* -1 (/ d b)) 1)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b d))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a c) (* a (+ b d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b d)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a (+ b d))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a c) (* a (+ b d)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a c)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* c (+ a (/ (* a (+ b d)) c)))))
#s(approx (+ (+ b c) d) #s(hole binary64 c))
#s(approx (+ (+ b c) d) #s(hole binary64 (* c (+ 1 (+ (/ b c) (/ d c))))))
#s(approx (+ b c) #s(hole binary64 (* c (+ 1 (/ b c)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* c (+ a (/ (* a (+ b d)) c)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))))
#s(approx (+ b c) #s(hole binary64 (* -1 (* c (- (* -1 (/ b c)) 1)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a (+ b c))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (+ (* a d) (* a (+ b c)))))
#s(approx (+ (+ b c) d) #s(hole binary64 (+ b c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a b) (* a c))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* a d)))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* d (+ a (/ (* a (+ b c)) d)))))
#s(approx (+ (+ b c) d) #s(hole binary64 d))
#s(approx (+ (+ b c) d) #s(hole binary64 (* d (+ 1 (+ (/ b d) (/ c d))))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a d)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))))
#s(approx (+ d b) #s(hole binary64 (* d (+ 1 (/ b d)))))
#s(approx (* a (+ (+ b c) d)) #s(hole binary64 (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))))
#s(approx (+ (+ b c) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))))
#s(approx (+ d b) #s(hole binary64 (* -1 (* d (- (* -1 (/ b d)) 1)))))

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

rewrite207.0ms (4.5%)

Memory

34.8MiB live, 265.1MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	21	50
1	98	50
2	763	50
0	8323	50

Stop Event

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

Counts

8 → 207

Calls

Call 1

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

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

eval32.0ms (0.7%)

Memory: -19.9MiB live, 42.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 409 to 701 computations (89.1% saved)

prune7.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	243	4	247

Accuracy

100.0%

Counts

247 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 #s(approx (+ d b) d) a (*.f64 c a))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.7%	(*.f64 a (+.f64 #s(approx (+ b c) c) d))
✓	94.0%	(*.f64 a #s(approx (+ (+ b c) d) d))

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify65.0ms (1.4%)

Memory

-36.4MiB live, 10.7MiB allocated; 2ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	11	20
1	20	20
2	38	20
3	62	20
4	85	20
5	108	20
6	139	20
7	158	20
8	178	20
9	188	20
0	188	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 c a)
accuracy	0.00390625	(fma.f64 #s(approx (+ d b) d) a (*.f64 c a))
accuracy	0.14830406156523518	#s(approx (+ d b) d)

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

ival-mult: 3.0ms (54.5% of total)

ival-add: 2.0ms (36.4% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

3 → 24

Calls

Call 1

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

Outputs
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a (+ b (+ c d)))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a c) (* a d))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a b) (+ (* a c) (* a d)))))
#s(approx (+ d b) #s(hole binary64 d))
#s(approx (+ d b) #s(hole binary64 (+ b d)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a b)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))))
#s(approx (+ d b) #s(hole binary64 b))
#s(approx (+ d b) #s(hole binary64 (* b (+ 1 (/ d b)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))))
#s(approx (+ d b) #s(hole binary64 (* -1 (* b (- (* -1 (/ d b)) 1)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a (+ b d))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a c) (* a (+ b d)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* c (+ a (/ (* a (+ b d)) c)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a b) (* a c))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a d)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))))
#s(approx (+ d b) #s(hole binary64 (* d (+ 1 (/ b d)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))))
#s(approx (+ d b) #s(hole binary64 (* -1 (* d (- (* -1 (/ b d)) 1)))))

Calls

12 calls:

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

simplify137.0ms (3%)

Memory

-2.8MiB live, 88.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	286
1	294	286
2	934	286
3	3703	286
4	7470	286
0	8249	286

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a (+ b (+ c d)))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a c) (* a d))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a b) (+ (* a c) (* a d)))))
#s(approx (+ d b) #s(hole binary64 d))
#s(approx (+ d b) #s(hole binary64 (+ b d)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a b)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))))
#s(approx (+ d b) #s(hole binary64 b))
#s(approx (+ d b) #s(hole binary64 (* b (+ 1 (/ d b)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))))
#s(approx (+ d b) #s(hole binary64 (* -1 (* b (- (* -1 (/ d b)) 1)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a (+ b d))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a c) (* a (+ b d)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* c (+ a (/ (* a (+ b d)) c)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (+ (* a b) (* a c))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* a d)))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))))
#s(approx (+ d b) #s(hole binary64 (* d (+ 1 (/ b d)))))
#s(approx (+ (* (+ d b) a) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))))
#s(approx (+ d b) #s(hole binary64 (* -1 (* d (- (* -1 (/ b d)) 1)))))

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

rewrite253.0ms (5.5%)

Memory

-39.2MiB live, 197.2MiB allocated; 104ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
0	11	17
1	45	17
2	328	17
3	3463	17
0	8830	17

Stop Event

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

Counts

3 → 306

Calls

Call 1

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

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

eval50.0ms (1.1%)

Memory: -25.6MiB live, 79.1MiB allocated; 28ms collecting garbage
Compiler: Compiled 7 442 to 588 computations (92.1% saved)

prune7.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	318	4	322

Accuracy

100.0%

Counts

322 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 #s(approx (+ d b) d) a (*.f64 c a))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.7%	(*.f64 a (+.f64 #s(approx (+ b c) c) d))
✓	94.0%	(*.f64 a #s(approx (+ (+ b c) d) d))

Compiler

Compiled 78 to 51 computations (34.6% saved)

regimes57.0ms (1.2%)

Memory

-14.3MiB live, 31.2MiB allocated; 3ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

44.0ms	c
2.0ms	b
2.0ms	d
2.0ms	(+.f64 b c)
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)

regimes13.0ms (0.3%)

Memory

18.1MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 b c)`
99.9%	1	`(+.f64 (+.f64 b c) d)`
99.9%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`c`
99.9%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes15.0ms (0.3%)

Memory

-25.1MiB live, 20.9MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	a
1.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms	b
1.0ms	(+.f64 b c)
1.0ms	(+.f64 (+.f64 b c) d)

Results

Accuracy	Segments	Branch
99.7%	1	`(+.f64 b c)`
99.7%	1	`(+.f64 (+.f64 b c) d)`
99.7%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
99.7%	1	`a`
99.7%	1	`b`
99.7%	1	`c`
99.7%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes7.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
94.0%	1	`(+.f64 b c)`
94.0%	1	`(+.f64 (+.f64 b c) d)`
94.0%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
94.0%	1	`a`
94.0%	1	`b`
94.0%	1	`c`
94.0%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify38.0ms (0.8%)

Memory

-36.8MiB live, 13.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	21	33
2	28	33
3	30	33

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

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

derivations101.0ms (2.2%)

Memory

4.6MiB live, 93.9MiB allocated; 10ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 17 computations (48.5% saved)

preprocess80.0ms (1.7%)

Memory: 19.7MiB live, 65.1MiB allocated; 6ms collecting garbage
Remove: (negabs a)
Compiler: Compiled 194 to 148 computations (23.7% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	8	21
0	11	20
1	20	20
2	38	20
3	62	20
4	85	20
5	108	20
6	139	20
7	158	20
8	178	20
9	188	20
0	188	20

Iter	Nodes	Cost
0	8	21
0	11	20
1	20	20
2	38	20
3	62	20
4	85	20
5	108	20
6	139	20
7	158	20
8	178	20
9	188	20
0	188	20

start0.0ms (0%)

analyze434.0ms (9.4%)

sample1.9s (40.3%)

explain99.0ms (2.1%)

preprocess234.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify48.0ms (1%)

localize58.0ms (1.3%)

series7.0ms (0.1%)

simplify178.0ms (3.8%)

rewrite246.0ms (5.3%)

eval48.0ms (1%)

prune4.0ms (0.1%)

simplify37.0ms (0.8%)

localize76.0ms (1.6%)

series11.0ms (0.2%)

simplify191.0ms (4.1%)

rewrite207.0ms (4.5%)

eval32.0ms (0.7%)

prune7.0ms (0.1%)

simplify65.0ms (1.4%)

localize18.0ms (0.4%)

series4.0ms (0.1%)

simplify137.0ms (3%)

rewrite253.0ms (5.5%)

eval50.0ms (1.1%)

prune7.0ms (0.1%)

regimes57.0ms (1.2%)

regimes13.0ms (0.3%)

regimes15.0ms (0.3%)

regimes7.0ms (0.2%)

simplify38.0ms (0.8%)

derivations101.0ms (2.2%)

preprocess80.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	21
0	11	20
1	20	20
2	38	20
3	62	20
4	85	20
5	108	20
6	139	20
7	158	20
8	178	20
9	188	20
0	188	20