Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze55.0ms (0.9%)

Memory

4.6MiB live, 43.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample866.0ms (14.8%)

Memory

9.0MiB live, 799.5MiB allocated

Samples

560.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-sub: 139.0ms (42.2% of total)

ival-add: 121.0ms (36.7% of total)

ival-div: 60.0ms (18.2% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain66.0ms (1.1%)

Memory

3.6MiB live, 127.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y x)`
-	-	`(/.f64 (-.f64 y x) z)`
-	-	`y`
-	-	`(+.f64 x (/.f64 (-.f64 y x) z))`
-	-	`z`
-	-	`x`

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

29.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-sub: 9.0ms (57.9% of total)

ival-div: 4.0ms (25.7% of total)

ival-add: 2.0ms (12.9% of total)

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

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

preprocess121.0ms (2.1%)

Memory

-27.2MiB live, 93.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	78	63
2	229	63
3	685	63
4	1740	63
5	3200	63
6	3616	63
7	3844	63
8	3967	63
9	4015	63
10	4015	63
0	6	7
0	9	7
1	15	7
2	26	7
3	45	7
4	88	7
5	160	7
6	352	7
7	669	7
8	965	7
9	1077	7
10	1125	7
11	1164	7
0	1164	7

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify31.0ms (0.5%)

Memory

7.9MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	(+.f64 x (/.f64 (-.f64 y x) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	45	18
4	88	18
5	160	18
6	352	18
7	669	18
8	965	18
9	1077	18
10	1125	18
11	1164	18
0	1164	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

localize20.0ms (0.3%)

Memory

2.2MiB live, 40.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(+.f64 x (/.f64 (-.f64 y x) z))
accuracy	0.01953125	(/.f64 (-.f64 y x) z)

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (40.4% of total)

ival-sub: 1.0ms (20.2% of total)

ival-add: 1.0ms (20.2% of total)

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

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

series7.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

3 → 27

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)

Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
x

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	x	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	x	@	-inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	x	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	y	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))

simplify174.0ms (3%)

Memory

2.6MiB live, 122.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	173
1	198	125
2	553	125
3	1600	125
4	3692	125
5	5299	125
6	6767	125
7	7045	125
8	7147	125
9	7147	125
0	8403	124

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
x

Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
y
(+ y (* -1 x))
(-.f64 y x)
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- y x)
(-.f64 y x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
x

rewrite181.0ms (3.1%)

Memory

-14.2MiB live, 177.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	46	15
2	408	15
3	5424	15
0	8212	15

Stop Event

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

Counts

3 → 338

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (-.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 y x) z) x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 y x) z) (+.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x)))
(.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) z) x))
(.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) (/.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))))
(.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) (.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z))))
(.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 y x) z) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (-.f64 y x) z)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 y z) x) (/.f64 x z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64))) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y z) x) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 y x) z) x)))
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(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) x) (-.f64 (.f64 (+.f64 y x) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (.f64 x (/.f64 x (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval59.0ms (1%)

Memory: 10.1MiB live, 93.1MiB allocated
Compiler: Compiled 7 058 to 1 079 computations (84.7% saved)

prune33.0ms (0.6%)

Memory

-16.4MiB live, 21.6MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	340	7	347
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	340	8	348

Accuracy

100.0%

Counts

348 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
	87.0%	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
	96.1%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	83.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
▶	61.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	36.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	66.2%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 175 to 122 computations (30.3% saved)

simplify179.0ms (3.1%)

Memory

29.9MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 z x (-.f64 y x))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
cost-diff	1	(/.f64 (fma.f64 z x (-.f64 y x)) z)
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 x (/.f64 x z))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	1	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	117
0	33	117
1	49	117
2	91	115
3	177	115
4	354	115
5	745	114
6	1301	114
7	2445	114
8	4067	114
9	4630	114
10	4858	114
11	4927	114
12	4938	114
13	5785	114
14	6982	114
0	8280	114

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(-.f64 x y)
x
y
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(fma.f64 z x (-.f64 y x))
z
x
(-.f64 y x)
y

Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(-.f64 x y)
x
y
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 (-.f64 x y) z)))
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(fma.f64 z x (-.f64 y x))
(fma.f64 x z (-.f64 y x))
z
x
(-.f64 y x)
y

localize147.0ms (2.5%)

Memory

-7.3MiB live, 86.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 z x (-.f64 y x))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
accuracy	10.599911411849446	(/.f64 (fma.f64 z x (-.f64 y x)) z)
accuracy	0.0	(-.f64 y x)
accuracy	0.01953125	(/.f64 (-.f64 y x) z)
accuracy	24.67759555390461	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0.0	(/.f64 x z)
accuracy	0.0078125	(-.f64 x (/.f64 x z))
accuracy	21.61402673915687	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0.0	(/.f64 y z)
accuracy	40.62685638679452	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0	(-.f64 x y)
accuracy	0.109375	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

Samples

136.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-div: 100.0ms (81.6% of total)

ival-mult: 15.0ms (12.2% of total)

ival-sub: 4.0ms (3.3% of total)

ival-add: 3.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

-2.7MiB live, 33.7MiB allocated

Counts

14 → 59

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
(/.f64 #s(literal -1 binary64) z)
(-.f64 x y)
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
(fma.f64 z x (-.f64 y x))

Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* -1 y)
(- x y)
(* x (- 1 (/ 1 z)))
(/ x z)
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(+ y (* x (- z 1)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(/ (* x (- z 1)) z)
(* x (- z 1))
(* x (- (+ z (/ y x)) 1))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(+ x (* -1 (/ x z)))
(+ x (+ (* -1 (/ x z)) (/ y z)))
(+ x (* -1 y))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(/ (- (* x z) x) z)
(- (* x z) x)
(- (+ y (* x z)) x)
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y))))
(* y (- (/ x y) 1))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (/ (- x y) z))
(/ (+ (* -1 (- x y)) (* x z)) z)
(/ -1 z)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(+ x (* -1 (/ (- x y) z)))
(* x z)
(* z (- (+ x (/ y z)) (/ x z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))
2.0ms	z	@	-inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))
2.0ms	x	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))
2.0ms	z	@	0	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))
1.0ms	y	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))

simplify123.0ms (2.1%)

Memory

-1.4MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	364
1	374	298
2	1073	298
3	3095	298
4	5986	298
0	8041	290

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 57

Calls

Call 1

Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* -1 y)
(- x y)
(* x (- 1 (/ 1 z)))
(/ x z)
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(+ y (* x (- z 1)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(/ (* x (- z 1)) z)
(* x (- z 1))
(* x (- (+ z (/ y x)) 1))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(+ x (* -1 (/ x z)))
(+ x (+ (* -1 (/ x z)) (/ y z)))
(+ x (* -1 y))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(/ (- (* x z) x) z)
(- (* x z) x)
(- (+ y (* x z)) x)
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y))))
(* y (- (/ x y) 1))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (/ (- x y) z))
(/ (+ (* -1 (- x y)) (* x z)) z)
(/ -1 z)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(+ x (* -1 (/ (- x y) z)))
(* x z)
(* z (- (+ x (/ y z)) (/ x z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))

Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(/ x z)
(/.f64 x z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* x (- z 1)))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(/ (* x (- z 1)) z)
(-.f64 x (/.f64 x z))
(* x (- z 1))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(* x (- (+ z (/ y x)) 1))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(-.f64 x (/.f64 x z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* x (+ 1 (* -1 z))))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (+ (* -1 (/ x z)) (/ y z)))
(-.f64 x (/.f64 (-.f64 x y) z))
(+ x (* -1 y))
(-.f64 x y)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- y x)
(-.f64 y x)
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(- (* x z) x)
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(- (+ y (* x z)) x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(* -1 (/ (- x y) z))
(/.f64 (-.f64 y x) z)
(/ (+ (* -1 (- x y)) (* x z)) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(+ x (* -1 (/ (- x y) z)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* x z)
(*.f64 x z)
(* z (- (+ x (/ y z)) (/ x z)))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)

rewrite170.0ms (2.9%)

Memory

15.4MiB live, 208.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
0	33	100
1	138	100
2	1256	100
0	8251	100

Stop Event

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

Counts

14 → 565

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
(/.f64 #s(literal -1 binary64) z)
(-.f64 x y)
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
(fma.f64 z x (-.f64 y x))

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z))) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z))) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) (/.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) (.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z))) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) (.f64 (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x) (.f64 x x))) (.f64 (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64))) (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z))) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z))) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x))))
(fma.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) z) x)
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) z) x)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal -1 binary64) x)
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 z)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (+.f64 y x) (-.f64 x y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 (neg.f64 (-.f64 x y))) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (.f64 z #s(literal -1 binary64)))) x)
(fma.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (neg.f64 z))) x)
(fma.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) z)) x)
(fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 z #s(literal -1 binary64)))) x)
(fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 z))) x)
(fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) z)) x)
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z #s(literal -1 binary64)) (+.f64 y x))) x)
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 y x))) x)
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z #s(literal -1 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))) x)
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (fma.f64 y (+.f64 y x) (*.f64 x x)))) x)
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))) x)
(fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 y (+.f64 y x) (*.f64 x x)))) x)
(fma.f64 (neg.f64 (-.f64 x y)) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 x y) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (neg.f64 z)) x)
(fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 x y)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))) (/.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x))))
(+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)
(+.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 z #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64)))) (neg.f64 (.f64 z (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (.f64 x z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x z (-.f64 y x)))) (neg.f64 (neg.f64 z)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) z))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) z))
(/.f64 (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 z (fma.f64 x z (neg.f64 (-.f64 y x)))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 x z (-.f64 y x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (.f64 z (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x z (-.f64 y x))) (*.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x z (-.f64 y x))) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (.f64 x z) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (fma.f64 x z (-.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) z) (.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (.f64 x z) #s(literal 2 binary64))) z) (.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (fma.f64 x z (neg.f64 (-.f64 y x)))) (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (.f64 x z) #s(literal 2 binary64)))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (fma.f64 x z (-.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))
(/.f64 (fma.f64 x z (-.f64 y x)) (*.f64 z #s(literal 1 binary64)))
(/.f64 (fma.f64 x z (-.f64 y x)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (fma.f64 x z (-.f64 y x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x z (-.f64 y x))) z))
(neg.f64 (/.f64 (fma.f64 x z (-.f64 y x)) (neg.f64 z)))
(fma.f64 (fma.f64 x z y) (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (.f64 z (fma.f64 x z (neg.f64 (-.f64 y x))))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 z (fma.f64 x z (neg.f64 (-.f64 y x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (fma.f64 x z (-.f64 y x)) (neg.f64 z)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) z) (/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) z))
(-.f64 (/.f64 (fma.f64 x z y) z) (/.f64 x z))
(-.f64 (/.f64 y z) (/.f64 (-.f64 x (*.f64 x z)) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 x z (-.f64 y x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 x z y) z) (/.f64 (neg.f64 x) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 x z (-.f64 y x)) z))
(.f64 (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x z y) x)))
(.f64 (-.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y x) (*.f64 x z))))
(.f64 (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x x (.f64 (fma.f64 x z y) x)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x z (neg.f64 (-.f64 y x))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (.f64 x z) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (.f64 (*.f64 x z) (-.f64 y x))))))
(.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x z (-.f64 y x)))
(pow.f64 (pow.f64 (fma.f64 x z (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (/.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (fma.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x))))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 x (.f64 x z)) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (-.f64 x (.f64 x z)) (-.f64 x (.f64 x z)) (.f64 y (-.f64 x (*.f64 x z))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x (.f64 x z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) x (.f64 x z)) (fma.f64 #s(literal -1 binary64) x (.f64 x z))) (.f64 y (fma.f64 #s(literal -1 binary64) x (.f64 x z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (fma.f64 x z y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 y x) (.f64 x z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 x z y) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x z (neg.f64 (-.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) (fma.f64 x z (neg.f64 (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (fma.f64 x z y) x))
(/.f64 (-.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 x z) #s(literal 2 binary64))) (-.f64 (-.f64 y x) (.f64 x z)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x z y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 x z y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x z (neg.f64 (-.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (.f64 (.f64 x z) (-.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 x z (neg.f64 (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (.f64 (.f64 x z) (-.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x z y) x) (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y x) (.f64 x z)) (-.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 x z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 x z y) x))) (-.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (.f64 (.f64 x z) (-.f64 y x)))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x z (-.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x z (-.f64 y x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x z (-.f64 y x)) #s(literal -1 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x z (neg.f64 y))) (neg.f64 x))
(fma.f64 (+.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (*.f64 x z) y)))) (neg.f64 x))
(fma.f64 (neg.f64 (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (.f64 x z))
(fma.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (.f64 x (+.f64 y x))))) (.f64 x z))
(fma.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y (neg.f64 x))) (.f64 x z))
(fma.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 x z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y (neg.f64 x))))) (*.f64 x z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (.f64 x (+.f64 y x))) #s(literal -1 binary64)) (.f64 x z))
(fma.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x))))))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (*.f64 x z))
(fma.f64 x z (-.f64 y x))
(fma.f64 z x (-.f64 y x))
(-.f64 (/.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (+.f64 (fma.f64 x z y) x)) (/.f64 (*.f64 x x) (+.f64 (fma.f64 x z y) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 y x) (.f64 x z))) (/.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (-.f64 (-.f64 y x) (*.f64 x z))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x x (.f64 (fma.f64 x z y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x x (.f64 (fma.f64 x z y) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))))
(-.f64 (fma.f64 x z y) x)
(-.f64 y (-.f64 x (*.f64 x z)))
(+.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x))))))
(+.f64 (fma.f64 x z y) (neg.f64 x))
(+.f64 (*.f64 x z) (-.f64 y x))
(+.f64 (-.f64 y x) (*.f64 x z))
(+.f64 y (neg.f64 (-.f64 x (*.f64 x z))))
(+.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 x z)))

eval84.0ms (1.4%)

Memory: -11.7MiB live, 144.9MiB allocated
Compiler: Compiled 15 841 to 2 131 computations (86.5% saved)

prune27.0ms (0.5%)

Memory

-4.2MiB live, 34.0MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	623	3	626
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	625	9	634

Accuracy

100.0%

Counts

634 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
▶	87.0%	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	49.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
✓	61.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	28.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	36.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	57.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	66.2%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 116 to 78 computations (32.8% saved)

simplify140.0ms (2.4%)

Memory

21.9MiB live, 180.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))
cost-diff	0	(+.f64 y x)
cost-diff	7	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(fma.f64 z x #s(approx (- y x) (neg.f64 x)))
cost-diff	0	(/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
cost-diff	2	(-.f64 (/.f64 y z) (/.f64 x z))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	151
0	36	147
1	58	147
2	120	142
3	299	140
4	885	140
5	2895	140
6	6454	140
0	8028	140

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
y
z
(/.f64 x z)
x
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
(/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z)
(fma.f64 z x #s(approx (- y x) (neg.f64 x)))
z
x
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
(+.f64 y x)
y
x
(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))
(-.f64 y x)
(*.f64 (+.f64 y x) z)
z

Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
y
z
(/.f64 x z)
x
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
(/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z)
(fma.f64 z x #s(approx (- y x) (neg.f64 x)))
z
x
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 y x)
y
x
(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))
(/.f64 (/.f64 (-.f64 y x) z) (+.f64 y x))
(-.f64 y x)
(*.f64 (+.f64 y x) z)
z

localize107.0ms (1.8%)

Memory

-40.1MiB live, 133.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.01171875	(*.f64 (+.f64 y x) z)
accuracy	0.1015625	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
accuracy	19.824876239166368	(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
accuracy	10.599911411849446	(/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z)
accuracy	31.256435850163456	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	0.01953125	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	24.67759555390461	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	31.256435850163456	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 x z)
accuracy	2.3593605508114406	(-.f64 (/.f64 y z) (/.f64 x z))
accuracy	24.67759555390461	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))

Samples

92.0ms

256×

valid

Compiler

Compiled 112 to 20 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 50.0ms (64.5% of total)

ival-add: 19.0ms (24.5% of total)

ival-mult: 4.0ms (5.2% of total)

ival-sub: 3.0ms (3.9% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series18.0ms (0.3%)

Memory

33.9MiB live, 33.9MiB allocated

Counts

16 → 79

Calls

Call 1

Inputs
(-.f64 (/.f64 y z) (/.f64 x z))
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
(/.f64 y z)
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
(/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z)
(fma.f64 z x #s(approx (- y x) (neg.f64 x)))
(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
(+.f64 y x)
(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))
(-.f64 y x)
(*.f64 (+.f64 y x) z)

Outputs
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ x z)
y
(+ y (* -1 x))
(* -1 x)
(+ y (* x (- z 1)))
(+ x y)
(/ 1 z)
(+ (* -2 (/ x (* y z))) (/ 1 z))
(+ (* x (- (* 2 (/ x (* (pow y 2) z))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(+ (* x (- (* x (+ (* -2 (/ x (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(* y z)
(+ (* x z) (* y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (/ y x) 1))
(/ (* x (- z 1)) z)
(* x (- z 1))
(* x (- (+ z (/ y x)) 1))
x
(* x (+ 1 (/ y x)))
(/ -1 z)
(- (/ y (* x z)) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(- (+ (* -1 (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2))) (/ y (* x z))) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(- (+ (/ y (* x z)) (/ (* (pow y 2) (- (/ y z) (* -1 (/ y z)))) (pow x 3))) (+ (* -1 (/ y (* x z))) (+ (/ 1 z) (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2)))))
(* x z)
(* x (+ z (/ (* y z) x)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (* -1 (/ (- (* -1 (/ y z)) (/ y z)) x)) (/ 1 z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (* y (- (* -1 (/ y z)) (/ y z))) x))) (/ y z)) x)) (/ 1 z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 (/ y z)) (/ y z))) x)) (* -1 (* y (- (* -1 (/ y z)) (/ y z))))) x))) (/ y z)) x)) (/ 1 z))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(- (/ y z) (/ x z))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(/ (- (* x z) x) z)
(- (* x z) x)
(- (+ y (* x z)) x)
(- (* 2 (/ y (* x z))) (/ 1 z))
(- (* y (+ (* -2 (/ y (* (pow x 2) z))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(- (* y (+ (* y (- (* 2 (/ y (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (+ 1 (/ x y)))
(- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ x (* y z)))
(- (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))) (/ 1 z))) (/ x (* y z)))
(- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) (pow y 3)))) (+ (/ x (* y z)) (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))))
(* y (+ z (/ (* x z) y)))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (/ (* x (- (* -1 (/ x z)) (/ x z))) y)) y)) (/ 1 z))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (* -1 (/ (+ (* -1 (* x (- (* -1 (/ x z)) (/ x z)))) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) y)) y))) y)) (/ 1 z))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) (* z (+ x y)))
(* z (+ x y))
(* z (- (+ x (/ y z)) (/ x z)))
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (/ (- y x) (* (+ y x) z)) (- y x) (* (+ y x) z))
2.0ms	z	@	-inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (/ (- y x) (* (+ y x) z)) (- y x) (* (+ y x) z))
2.0ms	x	@	inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (/ (- y x) (* (+ y x) z)) (- y x) (* (+ y x) z))
2.0ms	y	@	-inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (/ (- y x) (* (+ y x) z)) (- y x) (* (+ y x) z))
2.0ms	y	@	inf	((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (/ (+ (* z x) (- y x)) z) (+ (* z x) (- y x)) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (/ (- y x) (* (+ y x) z)) (- y x) (* (+ y x) z))

simplify151.0ms (2.6%)

Memory

-7.1MiB live, 227.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	939
1	827	853
2	2452	778
3	7360	773
0	8510	732

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 77

Calls

Call 1

Inputs
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ x z)
y
(+ y (* -1 x))
(* -1 x)
(+ y (* x (- z 1)))
(+ x y)
(/ 1 z)
(+ (* -2 (/ x (* y z))) (/ 1 z))
(+ (* x (- (* 2 (/ x (* (pow y 2) z))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(+ (* x (- (* x (+ (* -2 (/ x (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(* y z)
(+ (* x z) (* y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (/ y x) 1))
(/ (* x (- z 1)) z)
(* x (- z 1))
(* x (- (+ z (/ y x)) 1))
x
(* x (+ 1 (/ y x)))
(/ -1 z)
(- (/ y (* x z)) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(- (+ (* -1 (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2))) (/ y (* x z))) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(- (+ (/ y (* x z)) (/ (* (pow y 2) (- (/ y z) (* -1 (/ y z)))) (pow x 3))) (+ (* -1 (/ y (* x z))) (+ (/ 1 z) (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2)))))
(* x z)
(* x (+ z (/ (* y z) x)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (* -1 (/ (- (* -1 (/ y z)) (/ y z)) x)) (/ 1 z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (* y (- (* -1 (/ y z)) (/ y z))) x))) (/ y z)) x)) (/ 1 z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 (/ y z)) (/ y z))) x)) (* -1 (* y (- (* -1 (/ y z)) (/ y z))))) x))) (/ y z)) x)) (/ 1 z))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(- (/ y z) (/ x z))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(/ (- (* x z) x) z)
(- (* x z) x)
(- (+ y (* x z)) x)
(- (* 2 (/ y (* x z))) (/ 1 z))
(- (* y (+ (* -2 (/ y (* (pow x 2) z))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(- (* y (+ (* y (- (* 2 (/ y (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (+ 1 (/ x y)))
(- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ x (* y z)))
(- (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))) (/ 1 z))) (/ x (* y z)))
(- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) (pow y 3)))) (+ (/ x (* y z)) (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))))
(* y (+ z (/ (* x z) y)))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (/ (* x (- (* -1 (/ x z)) (/ x z))) y)) y)) (/ 1 z))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (* -1 (/ (+ (* -1 (* x (- (* -1 (/ x z)) (/ x z)))) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) y)) y))) y)) (/ 1 z))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) (* z (+ x y)))
(* z (+ x y))
(* z (- (+ x (/ y z)) (/ x z)))
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))

Outputs
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ x z)
(/.f64 x z)
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(+ y (* x (- z 1)))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(+ x y)
(+.f64 x y)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -2 (/ x (* y z))) (/ 1 z))
(fma.f64 (/.f64 (/.f64 x z) y) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) z))
(+ (* x (- (* 2 (/ x (* (pow y 2) z))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x z)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y))
(+ (* x (- (* x (+ (* -2 (/ x (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 z y)) y)) x (/.f64 #s(literal -2 binary64) (*.f64 z y))) x (/.f64 #s(literal 1 binary64) z))
(* y z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y z) x) x (/.f64 (neg.f64 x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y z) x) x (-.f64 x (/.f64 x z)))
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(/ (* x (- z 1)) z)
(-.f64 x (/.f64 x z))
(* x (- z 1))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(* x (- (+ z (/ y x)) 1))
(fma.f64 (+.f64 (/.f64 y x) z) x (neg.f64 x))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (/ y (* x z)) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 y z) (/.f64 #s(literal -1 binary64) z))
(- (+ (* -1 (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2))) (/ y (* x z))) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) z)) y (/.f64 #s(literal 2 binary64) (*.f64 x z))) y (/.f64 #s(literal -1 binary64) z))
(- (+ (/ y (* x z)) (/ (* (pow y 2) (- (/ y z) (* -1 (/ y z)))) (pow x 3))) (+ (* -1 (/ y (* x z))) (+ (/ 1 z) (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y z) (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) z))) y (/.f64 #s(literal 2 binary64) (*.f64 x z))) y (/.f64 #s(literal -1 binary64) z))
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (fma.f64 (/.f64 y x) z z) x)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 y z) x) x (/.f64 (neg.f64 x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y z) x) x (-.f64 x (/.f64 x z)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(-.f64 x (/.f64 x z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(fma.f64 (/.f64 (/.f64 y z) x) x (-.f64 x (/.f64 x z)))
(* -1 (* x (+ 1 (* -1 z))))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 (+.f64 (/.f64 y x) z) x (neg.f64 x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(- (* -1 (/ (- (* -1 (/ y z)) (/ y z)) x)) (/ 1 z))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 y z) (/.f64 #s(literal -1 binary64) z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (* y (- (* -1 (/ y z)) (/ y z))) x))) (/ y z)) x)) (/ 1 z))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) z)) y (/.f64 #s(literal 2 binary64) (*.f64 x z))) y (/.f64 #s(literal -1 binary64) z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 (/ y z)) (/ y z))) x)) (* -1 (* y (- (* -1 (/ y z)) (/ y z))))) x))) (/ y z)) x)) (/ 1 z))
(-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 y z)) (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (fma.f64 (/.f64 y x) z z) x)
(- (/ y z) (/ x z))
(/.f64 (-.f64 y x) z)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- y x)
(-.f64 y x)
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(- (* x z) x)
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(- (+ y (* x z)) x)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y)
(- (* 2 (/ y (* x z))) (/ 1 z))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 y z) (/.f64 #s(literal -1 binary64) z))
(- (* y (+ (* -2 (/ y (* (pow x 2) z))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) z)) y (/.f64 #s(literal 2 binary64) (*.f64 x z))) y (/.f64 #s(literal -1 binary64) z))
(- (* y (+ (* y (- (* 2 (/ y (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y z) (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) z))) y (/.f64 #s(literal 2 binary64) (*.f64 x z))) y (/.f64 #s(literal -1 binary64) z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x z) y)) y)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ x (* y z)))
(fma.f64 (/.f64 (/.f64 x z) y) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) z))
(- (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))) (/ 1 z))) (/ x (* y z)))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x z)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y))
(- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) (pow y 3)))) (+ (/ x (* y z)) (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 z y)) y)) x (/.f64 #s(literal -2 binary64) (*.f64 z y))) x (/.f64 #s(literal 1 binary64) z))
(* y (+ z (/ (* x z) y)))
(*.f64 (fma.f64 (/.f64 x y) z z) y)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x z) y)) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) x) y)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (/ (* x (- (* -1 (/ x z)) (/ x z))) y)) y)) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x z)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (* -1 (/ (+ (* -1 (* x (- (* -1 (/ x z)) (/ x z)))) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) y)) y))) y)) (/ 1 z))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x z)) (fma.f64 x (/.f64 x y) (neg.f64 x))) y)) y) (/.f64 #s(literal 1 binary64) z))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (fma.f64 (/.f64 x y) z z) y)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x y) z)
(/ (- y x) (* z (+ x y)))
(/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (- (+ x (/ y z)) (/ x z)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z)

rewrite382.0ms (6.5%)

Memory

-3.5MiB live, 229.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	133
0	36	129
1	156	122
2	1612	122
0	8640	122

Stop Event

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

Counts

16 → 948

Calls

Call 1

Inputs
(-.f64 (/.f64 y z) (/.f64 x z))
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
(/.f64 y z)
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
(/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z)
(fma.f64 z x #s(approx (- y x) (neg.f64 x)))
(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
(+.f64 y x)
(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))
(-.f64 y x)
(*.f64 (+.f64 y x) z)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x y) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 x y) (/.f64 (.f64 (+.f64 x y) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 (+.f64 x y))) (/.f64 (neg.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y)) (/.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 z)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y)))
(.f64 (/.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) z) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) (/.f64 z (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 x y)))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (.f64 (+.f64 x y) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) (*.f64 (+.f64 x y) z)) (/.f64 (+.f64 x y) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 z (-.f64 y x))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 z (-.f64 y x))) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (+.f64 x y)))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 x y) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 x y) z)) (/.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) z) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (-.f64 y x))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (.f64 (+.f64 x y) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (-.f64 y x))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 x y) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 x y) z)) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (-.f64 y x))))
(.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 y x)) (.f64 (+.f64 x y) z)))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 x y)) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (/.f64 z (-.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x y)) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64)) (/.f64 z (-.f64 y x))))
(.f64 (/.f64 (+.f64 x y) (.f64 (+.f64 x y) z)) (-.f64 y x))
(.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (*.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y))
(.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(.f64 (/.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z)))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) z) (/.f64 (+.f64 x y) (/.f64 (+.f64 x y) (-.f64 y x))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) (+.f64 x y)) (/.f64 (+.f64 x y) (/.f64 z (-.f64 y x))))
(.f64 (/.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (.f64 (+.f64 x y) z)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (-.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (.f64 (+.f64 x y) z) #s(literal -1 binary64)))
(*.f64 (/.f64 z z) (/.f64 (-.f64 y x) z))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (/.f64 z (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (pow.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 z (-.f64 y x)) z) (pow.f64 z #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (-.f64 y x)) (+.f64 x y)) (pow.f64 (*.f64 (neg.f64 z) (+.f64 x y)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z))) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y))) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z)))
(.f64 (.f64 (+.f64 x y) (neg.f64 (-.f64 y x))) (pow.f64 (*.f64 (neg.f64 z) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (-.f64 y x)) z) (/.f64 (+.f64 x y) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 (+.f64 x y) z) (/.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (neg.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x z) (.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
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(-.f64 y x)
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 z (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 z (-.f64 y x)))
(.f64 (/.f64 z (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (/.f64 z (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y))
(.f64 (/.f64 z (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) (/.f64 z (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 z (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (.f64 (.f64 z y) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 x z) (*.f64 z y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z)) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (.f64 z (.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (.f64 z (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (.f64 (+.f64 x y) (-.f64 y x)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 z (.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 x z (*.f64 z y))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 x z))
(fma.f64 y z (*.f64 x z))
(+.f64 (.f64 z y) (.f64 x z))
(+.f64 (.f64 x z) (.f64 z y))

eval408.0ms (7%)

Memory: -18.6MiB live, 229.2MiB allocated
Compiler: Compiled 30 055 to 3 285 computations (89.1% saved)

prune40.0ms (0.7%)

Memory

13.0MiB live, 52.2MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 052	1	1 053
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	1 053	9	1 062

Accuracy

100.0%

Counts

1 062 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	49.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
✓	61.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	28.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	36.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	57.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	66.2%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
▶	48.6%	#s(approx (+ x (/ (- y x) z)) (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y)))

Compiler

Compiled 123 to 82 computations (33.3% saved)

simplify143.0ms (2.4%)

Memory

21.0MiB live, 141.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y)))
cost-diff	8	(.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	57
0	17	57
1	39	57
2	106	45
3	229	41
4	650	41
5	2806	41
6	6916	41
0	8012	41

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y)))
(.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y))
(/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z))
(-.f64 y x)
y
x
(*.f64 (+.f64 x y) z)
(+.f64 x y)
z

Outputs
#s(approx (+ x (/ (- y x) z)) (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z))
(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))
(-.f64 y x)
y
x
(*.f64 (+.f64 x y) z)
(*.f64 (+.f64 y x) z)
(+.f64 x y)
(+.f64 y x)
z

localize59.0ms (1%)

Memory

-12.0MiB live, 26.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (+.f64 x y) z)
accuracy	0.1953125	(.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y))
accuracy	19.824876239166368	(/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z))
accuracy	24.67759555390461	#s(approx (+ x (/ (- y x) z)) (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y)))

Samples

52.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (28.5% of total)

ival-mult: 3.0ms (28.5% of total)

ival-sub: 2.0ms (19% of total)

ival-add: 2.0ms (19% of total)

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

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

series6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

5 → 55

Calls

Call 1

Inputs
(.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y))
#s(approx (+ x (/ (- y x) z)) (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y)))
(/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z))
(-.f64 y x)
(*.f64 (+.f64 x y) z)

Outputs
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ 1 z)
(+ (* -2 (/ x (* y z))) (/ 1 z))
(+ (* x (- (* 2 (/ x (* (pow y 2) z))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(+ (* x (- (* x (+ (* -2 (/ x (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z))))) (/ 1 z))
y
(+ y (* -1 x))
(* y z)
(+ (* x z) (* y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(/ -1 z)
(- (/ y (* x z)) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(- (+ (* -1 (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2))) (/ y (* x z))) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(- (+ (/ y (* x z)) (/ (* (pow y 2) (- (/ y z) (* -1 (/ y z)))) (pow x 3))) (+ (* -1 (/ y (* x z))) (+ (/ 1 z) (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(* x z)
(* x (+ z (/ (* y z) x)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- (* -1 (/ (- (* -1 (/ y z)) (/ y z)) x)) (/ 1 z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (* y (- (* -1 (/ y z)) (/ y z))) x))) (/ y z)) x)) (/ 1 z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 (/ y z)) (/ y z))) x)) (* -1 (* y (- (* -1 (/ y z)) (/ y z))))) x))) (/ y z)) x)) (/ 1 z))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (* 2 (/ y (* x z))) (/ 1 z))
(- (* y (+ (* -2 (/ y (* (pow x 2) z))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(- (* y (+ (* y (- (* 2 (/ y (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(- y x)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ x (* y z)))
(- (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))) (/ 1 z))) (/ x (* y z)))
(- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) (pow y 3)))) (+ (/ x (* y z)) (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ z (/ (* x z) y)))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (/ (* x (- (* -1 (/ x z)) (/ x z))) y)) y)) (/ 1 z))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (* -1 (/ (+ (* -1 (* x (- (* -1 (/ x z)) (/ x z)))) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) y)) y))) y)) (/ 1 z))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) (* z (+ x y)))
(* z (+ x y))
x

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((* (/ (- y x) (* (+ x y) z)) (+ x y)) (+ x (/ (- y x) z)) (/ (- y x) (* (+ x y) z)) (- y x) (* (+ x y) z))
1.0ms	z	@	0	((* (/ (- y x) (* (+ x y) z)) (+ x y)) (+ x (/ (- y x) z)) (/ (- y x) (* (+ x y) z)) (- y x) (* (+ x y) z))
1.0ms	x	@	inf	((* (/ (- y x) (* (+ x y) z)) (+ x y)) (+ x (/ (- y x) z)) (/ (- y x) (* (+ x y) z)) (- y x) (* (+ x y) z))
1.0ms	x	@	-inf	((* (/ (- y x) (* (+ x y) z)) (+ x y)) (+ x (/ (- y x) z)) (/ (- y x) (* (+ x y) z)) (- y x) (* (+ x y) z))
1.0ms	y	@	inf	((* (/ (- y x) (* (+ x y) z)) (+ x y)) (+ x (/ (- y x) z)) (/ (- y x) (* (+ x y) z)) (- y x) (* (+ x y) z))

simplify273.0ms (4.7%)

Memory

8.9MiB live, 125.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	757
1	651	680
2	1953	605
3	7003	597
0	8543	569

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

Inputs
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ 1 z)
(+ (* -2 (/ x (* y z))) (/ 1 z))
(+ (* x (- (* 2 (/ x (* (pow y 2) z))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(+ (* x (- (* x (+ (* -2 (/ x (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z))))) (/ 1 z))
y
(+ y (* -1 x))
(* y z)
(+ (* x z) (* y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(/ -1 z)
(- (/ y (* x z)) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(- (+ (* -1 (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2))) (/ y (* x z))) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(- (+ (/ y (* x z)) (/ (* (pow y 2) (- (/ y z) (* -1 (/ y z)))) (pow x 3))) (+ (* -1 (/ y (* x z))) (+ (/ 1 z) (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(* x z)
(* x (+ z (/ (* y z) x)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- (* -1 (/ (- (* -1 (/ y z)) (/ y z)) x)) (/ 1 z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (* y (- (* -1 (/ y z)) (/ y z))) x))) (/ y z)) x)) (/ 1 z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 (/ y z)) (/ y z))) x)) (* -1 (* y (- (* -1 (/ y z)) (/ y z))))) x))) (/ y z)) x)) (/ 1 z))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (* 2 (/ y (* x z))) (/ 1 z))
(- (* y (+ (* -2 (/ y (* (pow x 2) z))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(- (* y (+ (* y (- (* 2 (/ y (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(- y x)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ x (* y z)))
(- (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))) (/ 1 z))) (/ x (* y z)))
(- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) (pow y 3)))) (+ (/ x (* y z)) (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ z (/ (* x z) y)))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (/ (* x (- (* -1 (/ x z)) (/ x z))) y)) y)) (/ 1 z))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (* -1 (/ (+ (* -1 (* x (- (* -1 (/ x z)) (/ x z)))) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) y)) y))) y)) (/ 1 z))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- y x) (* z (+ x y)))
(* z (+ x y))
x

Outputs
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -2 (/ x (* y z))) (/ 1 z))
(fma.f64 (/.f64 (/.f64 x z) y) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) z))
(+ (* x (- (* 2 (/ x (* (pow y 2) z))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x z)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y))
(+ (* x (- (* x (+ (* -2 (/ x (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z))))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 z y)) y)) x (/.f64 #s(literal -2 binary64) (*.f64 z y))) x (/.f64 #s(literal 1 binary64) z))
y
(+ y (* -1 x))
(-.f64 y x)
(* y z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y z) x) x (/.f64 (neg.f64 x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 (/.f64 y z) x) x (-.f64 x (/.f64 x z)))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (/ y (* x z)) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))
(- (+ (* -1 (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2))) (/ y (* x z))) (+ (* -1 (/ y (* x z))) (/ 1 z)))
(fma.f64 (fma.f64 (/.f64 (/.f64 (/.f64 y z) x) x) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z x))) y (/.f64 #s(literal -1 binary64) z))
(- (+ (/ y (* x z)) (/ (* (pow y 2) (- (/ y z) (* -1 (/ y z)))) (pow x 3))) (+ (* -1 (/ y (* x z))) (+ (/ 1 z) (/ (* y (- (/ y z) (* -1 (/ y z)))) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y z) (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) z))) y (/.f64 #s(literal 2 binary64) (*.f64 z x))) y (/.f64 #s(literal -1 binary64) z))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x z)
(*.f64 z x)
(* x (+ z (/ (* y z) x)))
(*.f64 (fma.f64 (/.f64 y x) z z) x)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(fma.f64 (/.f64 (/.f64 y z) x) x (/.f64 (neg.f64 x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(fma.f64 (/.f64 (/.f64 y z) x) x (-.f64 x (/.f64 x z)))
(- (* -1 (/ (- (* -1 (/ y z)) (/ y z)) x)) (/ 1 z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (* y (- (* -1 (/ y z)) (/ y z))) x))) (/ y z)) x)) (/ 1 z))
(fma.f64 (fma.f64 (/.f64 (/.f64 (/.f64 y z) x) x) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z x))) y (/.f64 #s(literal -1 binary64) z))
(- (* -1 (/ (- (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 (/ y z)) (/ y z))) x)) (* -1 (* y (- (* -1 (/ y z)) (/ y z))))) x))) (/ y z)) x)) (/ 1 z))
(-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 y z)) (fma.f64 y (/.f64 y x) (neg.f64 y))) x)) x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (fma.f64 (/.f64 y x) z z) x)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- (* 2 (/ y (* x z))) (/ 1 z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))
(- (* y (+ (* -2 (/ y (* (pow x 2) z))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(fma.f64 (fma.f64 (/.f64 (/.f64 (/.f64 y z) x) x) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z x))) y (/.f64 #s(literal -1 binary64) z))
(- (* y (+ (* y (- (* 2 (/ y (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (* 2 (/ 1 (* x z))))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y z) (/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) z))) y (/.f64 #s(literal 2 binary64) (*.f64 z x))) y (/.f64 #s(literal -1 binary64) z))
(- y x)
(-.f64 y x)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x z) y)) y)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ x (* y z)))
(fma.f64 (/.f64 (/.f64 x z) y) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) z))
(- (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))) (/ 1 z))) (/ x (* y z)))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x z)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y))
(- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) (pow y 3)))) (+ (/ x (* y z)) (/ (* x (- (* -1 (/ x z)) (/ x z))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 z y)) y)) x (/.f64 #s(literal -2 binary64) (*.f64 z y))) x (/.f64 #s(literal 1 binary64) z))
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ z (/ (* x z) y)))
(*.f64 (fma.f64 (/.f64 x y) z z) y)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x z) y)) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (/ (* x (- (* -1 (/ x z)) (/ x z))) y)) y)) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x z)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y))
(+ (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (/ x z))) (* -1 (/ (+ (* -1 (* x (- (* -1 (/ x z)) (/ x z)))) (/ (* (pow x 2) (- (* -1 (/ x z)) (/ x z))) y)) y))) y)) (/ 1 z))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x z) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 x z)) (fma.f64 x (/.f64 x y) (neg.f64 x))) y)) y) (/.f64 #s(literal 1 binary64) z))
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (fma.f64 (/.f64 x y) z z) y)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ (- y x) (* z (+ x y)))
(/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
x

rewrite266.0ms (4.6%)

Memory

-18.3MiB live, 225.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
0	17	51
1	84	35
2	827	35
0	9008	35

Stop Event

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

Counts

5 → 671

Calls

Call 1

Inputs
(.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y))
#s(approx (+ x (/ (- y x) z)) (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y)))
(/.f64 (-.f64 y x) (*.f64 (+.f64 x y) z))
(-.f64 y x)
(*.f64 (+.f64 x y) z)

Outputs
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 x y)))) (-.f64 x y))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (.f64 z (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 x y) (/.f64 z (-.f64 y x))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 x y) (/.f64 (.f64 z (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 (+.f64 x y))) (/.f64 (-.f64 x y) z))
(.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (.f64 z (+.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (/.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) z) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 z (-.f64 y x))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (.f64 z (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (-.f64 y x))) (/.f64 (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) #s(literal -1 binary64)) (+.f64 x y)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 z (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 z (+.f64 x y))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) z) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (-.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (-.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x y)) (/.f64 (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) #s(literal -1 binary64)) (/.f64 z (-.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (.f64 z (+.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (+.f64 x y) (neg.f64 z)))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (/.f64 z (-.f64 y x))))
(.f64 (/.f64 (+.f64 x y) (.f64 z (+.f64 x y))) (-.f64 y x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (.f64 y (-.f64 y x))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) z) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) z) (/.f64 (+.f64 x y) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) z) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y))))
(.f64 (.f64 (/.f64 (-.f64 y x) z) (.f64 (/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y)) (-.f64 x y))))
(.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (.f64 (/.f64 x z) (+.f64 (/.f64 x z) (/.f64 y z))))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 (-.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 y x) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 y x) z)) (-.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 y x) z)) (.f64 (/.f64 x (+.f64 x y)) (/.f64 (-.f64 y x) z)))))))
(*.f64 (/.f64 (+.f64 x y) z) (/.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 x y))))
(.f64 (.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 x x (.f64 y (-.f64 y x))))))
(.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 z) (+.f64 x y)) (-.f64 x y))))
(.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 z))))
(.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 z) (+.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 z (+.f64 x y)) (-.f64 x y))))
(.f64 (.f64 (-.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (+.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 x y) z) (+.f64 x y))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) z)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)))
(.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) z)))
(.f64 (fma.f64 y z (.f64 (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z))
(*.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (+.f64 x y) z))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 z (-.f64 y x)) (+.f64 x y)) (-.f64 x y))))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 z (-.f64 y x)))))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x y))))
(.f64 (pow.f64 (.f64 z (+.f64 x y)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y x))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) z)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 z (-.f64 y x)) (+.f64 x y)) (fma.f64 x x (.f64 y (-.f64 y x))))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (-.f64 y x)))))
(*.f64 (-.f64 x y) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 z (-.f64 y x))))
(*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y)) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y)))
(.f64 (-.f64 y x) (/.f64 (+.f64 x y) (.f64 z (+.f64 x y))))
(.f64 (-.f64 y x) (.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal -1 binary64)) (+.f64 x y)))
(*.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 y x) z)) (.f64 (/.f64 x (+.f64 x y)) (/.f64 (-.f64 y x) z))))
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(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(+.f64 (.f64 x (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 x y)))) (.f64 (neg.f64 y) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 x y)))))
(+.f64 (.f64 (.f64 y (-.f64 y x)) (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (.f64 (.f64 y (-.f64 y x)) (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 x y))) x) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 x y))) (neg.f64 y)))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (.f64 y (-.f64 y x))) (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (.f64 y (-.f64 y x))))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (/.f64 (.f64 y y) (+.f64 x y)) (neg.f64 (/.f64 (.f64 x x) (+.f64 x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 y (neg.f64 x))
(.f64 (.f64 (*.f64 (-.f64 x y) z) (+.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 z (+.f64 x y)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 x y)) (neg.f64 z))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (+.f64 x y)))
(.f64 #s(literal 1 binary64) (.f64 z (+.f64 x y)))
(*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))
(.f64 (.f64 z (+.f64 x y)) #s(literal 1 binary64))
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 x y) z)
(/.f64 (-.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (.f64 y z) (.f64 y z))) (-.f64 (.f64 x z) (.f64 y z)))
(/.f64 (-.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 z x) (.f64 z x))) (-.f64 (.f64 z y) (.f64 z x)))
(/.f64 (-.f64 (.f64 (.f64 z x) (.f64 z x)) (.f64 (.f64 z y) (.f64 z y))) (-.f64 (.f64 z x) (.f64 z y)))
(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 x z) (.f64 x z))) (-.f64 (.f64 y z) (.f64 x z)))
(/.f64 (+.f64 (pow.f64 (.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (fma.f64 (.f64 x z) (.f64 x z) (-.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 x z) (.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (fma.f64 (.f64 z y) (.f64 z y) (-.f64 (.f64 (.f64 z x) (.f64 z x)) (.f64 (.f64 z y) (.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (.f64 z x) (.f64 z x) (-.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (.f64 z x) (.f64 z y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (fma.f64 (.f64 y z) (.f64 y z) (-.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (.f64 y z) (.f64 x z)))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 (-.f64 x y) z) (+.f64 x y)) (-.f64 x y))
(/.f64 (.f64 (.f64 z (+.f64 x y)) (-.f64 x y)) (-.f64 x y))
(/.f64 (.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (.f64 (.f64 (neg.f64 z) (+.f64 x y)) (-.f64 x y)) (-.f64 y x))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 z)) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z)) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 (.f64 (-.f64 x y) z) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 (.f64 z (+.f64 x y)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64))
(/.f64 z (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 z) (+.f64 x y)))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (+.f64 x y)))
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 z y) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(+.f64 (.f64 y z) (.f64 x z))

eval160.0ms (2.7%)

Memory: -11.6MiB live, 109.0MiB allocated
Compiler: Compiled 23 555 to 2 746 computations (88.3% saved)

prune40.0ms (0.7%)

Memory

-0.9MiB live, 38.4MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	699	2	701
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	700	10	710

Accuracy

100.0%

Counts

710 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
	59.4%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z)))
✓	49.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
✓	61.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	28.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	36.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	57.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	66.2%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
	61.3%	#s(approx (+ x (/ (- y x) z)) (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z)))

Compiler

Compiled 326 to 138 computations (57.7% saved)

regimes18.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x #s(approx (- y x) (neg.f64 x))) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z)))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
#s(approx (+ x (/ (- y x) z)) (.f64 (/.f64 (-.f64 y x) (.f64 (+.f64 x y) z)) (+.f64 x y)))
(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

Calls

4 calls:

4.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes29.0ms (0.5%)

Memory

-34.0MiB live, 12.7MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))

Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Calls

4 calls:

23.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
80.0%	3	`x`
84.2%	3	`y`
84.4%	3	`z`
79.0%	5	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
80.9%	3	`y`
66.2%	1	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
44.8%	3	`z`
36.5%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
46.8%	3	`x`
52.1%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
36.5%	1	`z`
36.5%	1	`x`
36.5%	1	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch43.0ms (0.7%)

Memory

-15.5MiB live, 23.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	9.22246579161989e+146	4.258835950181784e+148
32.0ms	-4.272073410222719e+49	-6.722802684482087e+45

Samples

32.0ms

240×

valid

Compiler

Compiled 400 to 312 computations (22% saved)

Precisions

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

ival-div: 24.0ms (90.7% of total)

ival-sub: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% of total)

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

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

bsearch96.0ms (1.7%)

Memory

-7.3MiB live, 31.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
84.0ms	1.535751144492987e+39	5.382010124315372e+51
10.0ms	-5.553675167227449e+135	-1.2702057368777019e+132

Samples

12.0ms

288×

valid

Compiler

Compiled 442 to 354 computations (19.9% saved)

Precisions

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

ival-sub: 2.0ms (37.7% of total)

ival-div: 2.0ms (37.7% of total)

ival-add: 1.0ms (18.9% of total)

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

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

bsearch15.0ms (0.3%)

Memory

21.6MiB live, 21.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	498981325006601.4	2487944256816676.0
6.0ms	-6.080391102460482e-24	-2.1225481561153642e-24

Samples

7.0ms

176×

valid

Compiler

Compiled 307 to 232 computations (24.4% saved)

Precisions

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

ival-sub: 1.0ms (30.3% of total)

ival-div: 1.0ms (30.3% of total)

ival-add: 1.0ms (30.3% of total)

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

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

simplify65.0ms (1.1%)

Memory

-23.3MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	122
1	59	122
2	75	122
3	99	122
4	147	122
5	227	122
6	530	122
7	1993	122
8	3320	122
9	7022	122

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -20499999999999999986131350259736876692371668992 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -1399999999999999955639789406190203819338020309860587832713937700752379477973204767284882690383389709386030150538229463169682854903808 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 18999999999999999372737526393527479213844812791808 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -331775307747915/85070591730234615865843651857942052864 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 1760000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -20499999999999999986131350259736876692371668992 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (or (<=.f64 z #s(literal -20499999999999999986131350259736876692371668992 binary64)) (not (<=.f64 z #s(literal 6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)))) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)))
(if (<=.f64 y #s(literal -1399999999999999955639789406190203819338020309860587832713937700752379477973204767284882690383389709386030150538229463169682854903808 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 18999999999999999372737526393527479213844812791808 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (or (<=.f64 y #s(literal -1399999999999999955639789406190203819338020309860587832713937700752379477973204767284882690383389709386030150538229463169682854903808 binary64)) (not (<=.f64 y #s(literal 18999999999999999372737526393527479213844812791808 binary64)))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))
(if (<=.f64 y #s(literal -331775307747915/85070591730234615865843651857942052864 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 1760000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (or (<=.f64 y #s(literal -331775307747915/85070591730234615865843651857942052864 binary64)) (not (<=.f64 y #s(literal 1760000000000000 binary64)))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

soundness956.0ms (16.4%)

Memory

0.6MiB live, 274.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	173
1	198	125
2	553	125
3	1600	125
4	3692	125
5	5299	125
6	6767	125
7	7045	125
8	7147	125
9	7147	125
0	8403	124
0	127	364
1	374	298
2	1073	298
3	3095	298
4	5986	298
0	8041	290

Stop Event

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

Compiler

Compiled 151 to 75 computations (50.3% saved)

preprocess43.0ms (0.7%)

Memory: 28.7MiB live, 71.7MiB allocated
Compiler: Compiled 258 to 92 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze55.0ms (0.9%)

sample866.0ms (14.8%)

explain66.0ms (1.1%)

preprocess121.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.5%)

localize20.0ms (0.3%)

series7.0ms (0.1%)

simplify174.0ms (3%)

rewrite181.0ms (3.1%)

eval59.0ms (1%)

prune33.0ms (0.6%)

simplify179.0ms (3.1%)

localize147.0ms (2.5%)

series20.0ms (0.3%)

simplify123.0ms (2.1%)

rewrite170.0ms (2.9%)

eval84.0ms (1.4%)

prune27.0ms (0.5%)

simplify140.0ms (2.4%)

localize107.0ms (1.8%)

series18.0ms (0.3%)

simplify151.0ms (2.6%)

rewrite382.0ms (6.5%)

eval408.0ms (7%)

prune40.0ms (0.7%)

simplify143.0ms (2.4%)

localize59.0ms (1%)

series6.0ms (0.1%)

simplify273.0ms (4.7%)

rewrite266.0ms (4.6%)

eval160.0ms (2.7%)

prune40.0ms (0.7%)

regimes18.0ms (0.3%)

regimes29.0ms (0.5%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch43.0ms (0.7%)

bsearch96.0ms (1.7%)

bsearch15.0ms (0.3%)

simplify65.0ms (1.1%)

soundness956.0ms (16.4%)

preprocess43.0ms (0.7%)

end0.0ms (0%)

Profiling