Metrics for Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample932.0ms (18.9%)

Memory

-12.8MiB live, 1 011.7MiB allocated

Samples

715.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 408.0ms

ival-add: 188.0ms (46.1% of total)

ival-sub: 157.0ms (38.5% of total)

ival-mult: 53.0ms (13% of total)

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

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

Bogosity

explain82.0ms (1.7%)

Memory

-11.1MiB live, 156.9MiB allocated

FPErrors

Click to see full error table

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

23.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-sub: 3.0ms (32.7% of total)

ival-mult: 3.0ms (32.7% of total)

ival-add: 2.0ms (21.8% of total)

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

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

preprocess78.0ms (1.6%)

Memory

14.1MiB live, 91.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	68	63
2	207	63
3	671	63
4	1268	63
5	2143	63
6	2436	63
7	2470	63
8	2470	63
0	6	7
0	9	7
1	13	7
2	24	7
3	48	7
4	84	7
5	130	7
6	220	7
7	370	7
8	584	7
9	669	7
10	691	7
0	691	6

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))
(fma.f64 z (-.f64 y x) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify22.0ms (0.4%)

Memory

-4.6MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) z)
cost-diff	128	(+.f64 x (*.f64 (-.f64 y x) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	584	18
9	669	18
10	691	18
0	691	17

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))
(fma.f64 z (-.f64 y x) x)
x
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(-.f64 y x)
y
z

localize24.0ms (0.5%)

Memory

0.0MiB live, 43.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.01171875	(*.f64 (-.f64 y x) z)
accuracy	0.015625	(+.f64 x (*.f64 (-.f64 y x) z))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 2.0ms (43.4% of total)

ival-sub: 1.0ms (21.7% of total)

ival-add: 1.0ms (21.7% of total)

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

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

series5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

3 → 29

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

Calls

9 calls:

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

simplify121.0ms (2.5%)

Memory

8.8MiB live, 121.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	185
1	243	137
2	730	137
3	2076	137
4	4192	137
5	5967	137
6	7106	137
0	8056	128

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 27

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

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

rewrite234.0ms (4.7%)

Memory

2.2MiB live, 234.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	36	15
2	286	15
3	3823	15
0	10866	14

Stop Event

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

Counts

3 → 258

Calls

Call 1

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

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

eval56.0ms (1.1%)

Memory: 11.9MiB live, 85.4MiB allocated
Compiler: Compiled 6 918 to 970 computations (86% saved)

prune4.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	262	3	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	263	3	266

Accuracy

100.0%

Counts

266 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 y x) z x)
▶	64.4%	#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
▶	40.8%	#s(approx (+ x (* (- y x) z)) (*.f64 z y))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify75.0ms (1.5%)

Memory

-55.1MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
0	20	50
1	29	50
2	46	50
3	76	50
4	140	50
5	202	50
6	330	50
7	516	50
8	683	50
9	704	50
10	704	50
0	704	50

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

5.9MiB live, 42.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (-.f64 y x) z x)
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy	22.807699948537564	#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy	0.0	(*.f64 z y)
accuracy	37.90037804481902	#s(approx (+ x (* (- y x) z)) (*.f64 z y))

Samples

23.0ms

256×

valid

Compiler

Compiled 97 to 27 computations (72.2% saved)

Precisions

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

ival-add: 6.0ms (43.4% of total)

ival-mult: 5.0ms (36.2% of total)

ival-sub: 3.0ms (21.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

7 → 32

Calls

Call 1

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

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

Calls

9 calls:

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

simplify119.0ms (2.4%)

Memory

-2.6MiB live, 115.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	157
1	247	139
2	696	139
3	1903	139
4	4510	139
5	6845	139
0	8181	130

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

rewrite140.0ms (2.8%)

Memory

21.9MiB live, 218.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
0	20	42
1	72	42
2	505	42
3	6193	42
0	8454	42

Stop Event

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

Counts

7 → 298

Calls

Call 1

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

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

eval38.0ms (0.8%)

Memory: -14.3MiB live, 67.5MiB allocated
Compiler: Compiled 7 667 to 1 008 computations (86.9% saved)

prune7.0ms (0.1%)

Memory

-17.3MiB live, 21.6MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	303	4	307
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	304	6	310

Accuracy

100.0%

Counts

310 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y x) z x)
▶	64.4%	(fma.f64 #s(approx (- y x) (neg.f64 x)) z x)
▶	30.1%	#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
▶	36.5%	#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
▶	64.5%	#s(approx (+ x (* (- y x) z)) (*.f64 z (-.f64 y x)))
✓	40.8%	#s(approx (+ x (* (- y x) z)) (*.f64 z y))

Compiler

Compiled 70 to 53 computations (24.3% saved)

simplify44.0ms (0.9%)

Memory

9.6MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	106
0	29	106
1	44	106
2	59	106
3	97	106
4	147	106
5	203	106
6	356	106
7	563	106
8	698	106
9	818	106
10	933	106
11	996	106
12	1004	106
13	1008	106
14	1014	106
15	1018	106
0	1018	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.7%)

Memory

18.3MiB live, 56.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(approx (- y x) (neg.f64 x)) z x)
accuracy	0.0	(neg.f64 x)
accuracy	31.678526925956774	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(neg.f64 z)
accuracy	0.01171875	(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy	22.807699948537564	#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy	30.410753581749546	#s(approx (- 1 z) (neg.f64 z))
accuracy	0.01171875	(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy	22.807699948537564	#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy	33.19017899602017	#s(approx (- 1 z) #s(literal 1 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.01171875	(*.f64 z (-.f64 y x))
accuracy	22.697207368299928	#s(approx (+ x (* (- y x) z)) (*.f64 z (-.f64 y x)))

Samples

23.0ms

256×

valid

Compiler

Compiled 176 to 37 computations (79% saved)

Precisions

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

ival-mult: 5.0ms (41.9% of total)

ival-sub: 3.0ms (25.1% of total)

ival-add: 2.0ms (16.8% of total)

ival-neg: 2.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

13 → 37

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ x (* (- y x) z)) (* z (- y x)) (- y x) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- y x) z) x) (- y x) (neg x))
1.0ms	z	@	inf	((+ x (* (- y x) z)) (* z (- y x)) (- y x) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- y x) z) x) (- y x) (neg x))
1.0ms	z	@	-inf	((+ x (* (- y x) z)) (* z (- y x)) (- y x) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- y x) z) x) (- y x) (neg x))
1.0ms	x	@	inf	((+ x (* (- y x) z)) (* z (- y x)) (- y x) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- y x) z) x) (- y x) (neg x))
0.0ms	x	@	0	((+ x (* (- y x) z)) (* z (- y x)) (- y x) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- y x) z) x) (- y x) (neg x))

simplify121.0ms (2.5%)

Memory

-21.3MiB live, 102.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	200
1	283	164
2	825	164
3	2165	164
4	4723	164
5	7065	164
0	8119	155

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 35

Calls

Call 1

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

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

rewrite165.0ms (3.3%)

Memory

-7.4MiB live, 183.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	29	97
1	89	97
2	565	97
3	6715	97
0	8236	94

Stop Event

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

Counts

13 → 265

Calls

Call 1

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

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

eval44.0ms (0.9%)

Memory: 33.0MiB live, 76.7MiB allocated
Compiler: Compiled 7 636 to 964 computations (87.4% saved)

prune23.0ms (0.5%)

Memory

-15.9MiB live, 20.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	275	6	281

Accuracy

100.0%

Counts

281 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y x) z x)
✓	64.4%	(fma.f64 #s(approx (- y x) (neg.f64 x)) z x)
✓	30.1%	#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	36.5%	#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
✓	64.5%	#s(approx (+ x (* (- y x) z)) (*.f64 z (-.f64 y x)))
✓	40.8%	#s(approx (+ x (* (- y x) z)) (*.f64 z y))

Compiler

Compiled 160 to 83 computations (48.1% saved)

regimes12.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 y x) z x)

Calls

4 calls:

3.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(+.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)

regimes35.0ms (0.7%)

Memory

-20.0MiB live, 18.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
80.2%	3	`x`
81.1%	3	`y`
88.4%	3	`z`
76.6%	3	`(+.f64 x (*.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.1%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

3 → 5

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
54.8%	4	`(+.f64 x (*.f64 (-.f64 y x) z))`
57.7%	4	`x`
60.6%	5	`y`
67.7%	5	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes19.0ms (0.4%)

Memory

-36.2MiB live, 3.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
64.4%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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 z y))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.8%	1	`(+.f64 x (*.f64 (-.f64 y x) z))`
40.8%	1	`x`
40.8%	1	`y`
40.8%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch20.0ms (0.4%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	533841.3931223862	3632809.366028058
11.0ms	-1.8410195071631718e-33	-2.440767015797684e-40

Samples

9.0ms

240×

valid

Compiler

Compiled 400 to 327 computations (18.3% saved)

Precisions

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

ival-mult: 2.0ms (47.2% of total)

ival-sub: 1.0ms (23.6% of total)

ival-add: 1.0ms (23.6% of total)

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

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

bsearch24.0ms (0.5%)

Memory

-31.3MiB live, 13.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.1078403083965458e-27	1.1174589742217104e-24
1.0ms	-1.8410195071631718e-33	-2.440767015797684e-40

Samples

5.0ms

128×

valid

Compiler

Compiled 486 to 403 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (42.4% of total)

ival-add: 1.0ms (42.4% of total)

ival-mult: 1.0ms (42.4% of total)

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

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

bsearch65.0ms (1.3%)

Memory

2.9MiB live, 41.2MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
6.0ms	2.440410260218867e+288	8.553021874109001e+288
32.0ms	0.8816759086053992	533841.3931223862
11.0ms	-2.167444692316213e-17	-2.7964598430314986e-22
12.0ms	-1.4981886175050036e+104	-1.3933331378973399e+89

Samples

42.0ms

528×

valid

Compiler

Compiled 928 to 774 computations (16.6% saved)

Precisions

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

ival-sub: 3.0ms (32.5% of total)

ival-mult: 3.0ms (32.5% of total)

ival-add: 2.0ms (21.6% of total)

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

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

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.1078403083965458e-27	1.1174589742217104e-24
1.0ms	-2.167444692316213e-17	-2.7964598430314986e-22

Compiler

Compiled 452 to 386 computations (14.6% saved)

simplify66.0ms (1.3%)

Memory

3.6MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	243
1	61	243
2	67	243
3	70	243
4	71	243

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) z x)
(if (<=.f64 z #s(literal -2572242881702389/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (+ x (* (- y x) z)) (.f64 z (-.f64 y x))) (if (<=.f64 z #s(literal 550000 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (+ x ( (- y x) z)) (*.f64 z (-.f64 y x)))))
(if (<=.f64 z #s(literal -2572242881702389/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (+ x (* (- y x) z)) (.f64 z (-.f64 y x))) (if (<=.f64 z #s(literal 2504478220538107/10889035741470030830827987437816582766592 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ x ( (- y x) z)) (*.f64 z (-.f64 y x)))))
(if (<=.f64 z #s(literal -30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872 binary64)) #s(approx (+ x (* (- y x) z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal -2855763272194155/1298074214633706907132624082305024 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 z y)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5999999999999999504809241354529001698292730258557259429380858125651378404787203684352713076728779017280630704371410921227546690173557742823454450632819249481972483812869510124467341518058895315586684596557695613424787578660209800492794512610043499201898475609998515221705326112414019616768 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #s(approx (+ x ( (- y x) z)) (*.f64 z y))))))
(if (<=.f64 z #s(literal -2855763272194155/1298074214633706907132624082305024 binary64)) #s(approx (+ x (* (- y x) z)) (.f64 z y)) (if (<=.f64 z #s(literal 2504478220538107/10889035741470030830827987437816582766592 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ x ( (- y x) z)) (*.f64 z y))))
#s(approx (+ x (* (- y x) z)) (*.f64 z y))

Outputs
(fma.f64 (-.f64 y x) z x)
(if (<=.f64 z #s(literal -2572242881702389/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (+ x (* (- y x) z)) (.f64 z (-.f64 y x))) (if (<=.f64 z #s(literal 550000 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (+ x ( (- y x) z)) (*.f64 z (-.f64 y x)))))
(if (<=.f64 z #s(literal -2572242881702389/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (+ x (* (- y x) z)) (.f64 z (-.f64 y x))) (if (<=.f64 z #s(literal 2504478220538107/10889035741470030830827987437816582766592 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ x ( (- y x) z)) (*.f64 z (-.f64 y x)))))
(if (<=.f64 z #s(literal -30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872 binary64)) #s(approx (+ x (* (- y x) z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal -2855763272194155/1298074214633706907132624082305024 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 z y)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5999999999999999504809241354529001698292730258557259429380858125651378404787203684352713076728779017280630704371410921227546690173557742823454450632819249481972483812869510124467341518058895315586684596557695613424787578660209800492794512610043499201898475609998515221705326112414019616768 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #s(approx (+ x ( (- y x) z)) (*.f64 z y))))))
(if (<=.f64 z #s(literal -2855763272194155/1298074214633706907132624082305024 binary64)) #s(approx (+ x (* (- y x) z)) (.f64 z y)) (if (<=.f64 z #s(literal 2504478220538107/10889035741470030830827987437816582766592 binary64)) #s(approx (+ x ( (- y x) z)) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ x ( (- y x) z)) (*.f64 z y))))
#s(approx (+ x (* (- y x) z)) (*.f64 z y))

soundness2.1s (42.5%)

Memory

24.5MiB live, 386.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	36	15
2	286	15
3	3823	15
0	10866	14
0	73	185
1	243	137
2	730	137
3	2076	137
4	4192	137
5	5967	137
6	7106	137
0	8056	128
0	78	157
1	247	139
2	696	139
3	1903	139
4	4510	139
5	6845	139
0	8181	130

Stop Event

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

Compiler

Compiled 339 to 145 computations (57.2% saved)

preprocess167.0ms (3.4%)

Memory: -15.2MiB live, 143.2MiB allocated
Compiler: Compiled 500 to 108 computations (78.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	584	18
9	669	18
10	691	18
0	691	17

Iter	Nodes	Cost
0	14	52
0	20	50
1	29	50
2	46	50
3	76	50
4	140	50
5	202	50
6	330	50
7	516	50
8	683	50
9	704	50
10	704	50
0	704	50

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	584	18
9	669	18
10	691	18
0	691	17

Iter	Nodes	Cost
0	14	52
0	20	50
1	29	50
2	46	50
3	76	50
4	140	50
5	202	50
6	330	50
7	516	50
8	683	50
9	704	50
10	704	50
0	704	50

start0.0ms (0%)

analyze0.0ms (0%)

sample932.0ms (18.9%)

explain82.0ms (1.7%)

preprocess78.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.4%)

localize24.0ms (0.5%)

series5.0ms (0.1%)

simplify121.0ms (2.5%)

rewrite234.0ms (4.7%)

eval56.0ms (1.1%)

prune4.0ms (0.1%)

simplify75.0ms (1.5%)

localize30.0ms (0.6%)

series6.0ms (0.1%)

simplify119.0ms (2.4%)

rewrite140.0ms (2.8%)

eval38.0ms (0.8%)

prune7.0ms (0.1%)

simplify44.0ms (0.9%)

localize35.0ms (0.7%)

series5.0ms (0.1%)

simplify121.0ms (2.5%)

rewrite165.0ms (3.3%)

eval44.0ms (0.9%)

prune23.0ms (0.5%)

regimes12.0ms (0.2%)

regimes35.0ms (0.7%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes19.0ms (0.4%)

regimes5.0ms (0.1%)

bsearch20.0ms (0.4%)

bsearch24.0ms (0.5%)

bsearch65.0ms (1.3%)

bsearch2.0ms (0%)

simplify66.0ms (1.3%)

soundness2.1s (42.5%)

preprocess167.0ms (3.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	584	18
9	669	18
10	691	18
0	691	17

Iter	Nodes	Cost
0	14	52
0	20	50
1	29	50
2	46	50
3	76	50
4	140	50
5	202	50
6	330	50
7	516	50
8	683	50
9	704	50
10	704	50
0	704	50