Metrics for Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze84.0ms (0.8%)

Memory

-26.3MiB live, 66.6MiB 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 11 to 9 computations (18.2% saved)

sample970.0ms (9.7%)

Memory

16.3MiB live, 1 158.3MiB allocated

Samples

522.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-sub: 126.0ms (40.3% of total)

ival-div: 63.0ms (20.1% of total)

ival-add: 58.0ms (18.5% of total)

ival-mult: 58.0ms (18.5% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain116.0ms (1.2%)

Memory

14.3MiB live, 107.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
0	-	-	`(+.f64 x (*.f64 y (-.f64 z x)))`
0	-	-	`y`
0	-	-	`(*.f64 y (-.f64 z x))`
0	-	-	`(-.f64 z x)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`	o/n	33	0
↳	`(+.f64 x (*.f64 y (-.f64 z x)))`	overflow	53
↳	`(*.f64 y (-.f64 z x))`	overflow	53

Confusion

	Predicted +	Predicted -
+	33	0
-	0	223

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	0
-	0	0	223

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	223
1	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms

512×

valid

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 44.0ms (83.2% of total)

ival-sub: 3.0ms (5.7% of total)

ival-mult: 3.0ms (5.7% of total)

ival-add: 2.0ms (3.8% of total)

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

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

preprocess41.0ms (0.4%)

Memory

-17.8MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	92
1	91	92
2	232	88
3	470	88
4	839	88
5	950	88
6	950	88
0	7	9
0	11	9
1	19	9
2	34	9
3	60	9
4	95	9
5	120	9
6	134	9
7	142	9
8	154	9
9	165	9
10	178	9
0	178	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.8%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z x)
cost-diff	0	(*.f64 y (-.f64 z x))
cost-diff	0	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
cost-diff	1	(+.f64 x (*.f64 y (-.f64 z x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	11	27
1	19	27
2	34	27
3	60	27
4	95	27
5	120	27
6	134	27
7	142	27
8	154	27
9	165	27
10	178	27
0	178	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.2%)

Memory

20.2MiB live, 57.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.0	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	0.0234375	(*.f64 y (-.f64 z x))
accuracy	7.819490367027626	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Samples

15.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-div: 2.0ms (31.3% of total)

ival-mult: 2.0ms (31.3% of total)

ival-sub: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

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

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

series12.0ms (0.1%)

Memory

-20.6MiB live, 21.6MiB allocated

Counts

4 → 43

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms	y	@	inf	((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms	z	@	-inf	((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms	x	@	inf	((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))
1.0ms	y	@	-inf	((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x))

simplify3.8s (37.9%)

Memory

-325.1MiB live, 212.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	326
1	371	245
2	1249	245
3	4274	245
4	7887	245
0	8017	230

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 40

Calls

Call 1

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

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

rewrite662.0ms (6.6%)

Memory

-40.1MiB live, 309.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	45	24
2	325	24
3	3755	24
0	8301	22

Stop Event

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

Counts

4 → 321

Calls

Call 1

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

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

eval87.0ms (0.9%)

Memory: 26.3MiB live, 119.2MiB allocated
Compiler: Compiled 8 731 to 1 195 computations (86.3% saved)

prune152.0ms (1.5%)

Memory

-27.7MiB live, 26.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	326	7	333
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	7	334

Accuracy

100.0%

Counts

334 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
	54.4%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
▶	34.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
▶	99.9%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
▶	32.8%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	74.1%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
▶	52.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))

Compiler

Compiled 202 to 140 computations (30.7% saved)

simplify19.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	154
0	34	154
1	59	154
2	84	154
3	134	154
4	214	154
5	277	154
6	296	154
7	303	154
8	308	154
9	312	154
0	312	148

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize217.0ms (2.2%)

Memory

-19.5MiB live, 119.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.015625	(/.f64 (-.f64 z x) z)
accuracy	1.5103542683975961	(*.f64 (/.f64 (-.f64 z x) z) y)
accuracy	17.236283071338512	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
accuracy	0.0	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	3.7005598135162407	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
accuracy	28.60402700993366	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
accuracy	0.0	(*.f64 z y)
accuracy	7.819490367027626	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
accuracy	34.27305231757358	#s(approx (+ x (* y (- z x))) (*.f64 z y))
accuracy	0.0	(/.f64 x z)
accuracy	43.01865735553366	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
accuracy	0.03515625	(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)

Samples

195.0ms

256×

valid

Compiler

Compiled 120 to 19 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-sub: 136.0ms (81% of total)

ival-mult: 14.0ms (8.3% of total)

ival-div: 13.0ms (7.7% of total)

ival-add: 4.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.4%)

Memory

30.3MiB live, 78.1MiB allocated

Counts

15 → 73

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x))
6.0ms	y	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x))
5.0ms	x	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x))
4.0ms	z	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x))
4.0ms	z	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x))

simplify220.0ms (2.2%)

Memory

0.3MiB live, 234.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	584
1	494	518
2	1554	513
3	5095	513
0	8231	494

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 70

Calls

Call 1

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

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

rewrite212.0ms (2.1%)

Memory

32.5MiB live, 257.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	133
0	34	133
1	116	133
2	734	133
3	7967	133
0	8154	127

Stop Event

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

Counts

15 → 317

Calls

Call 1

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

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

eval55.0ms (0.5%)

Memory: -41.2MiB live, 102.8MiB allocated
Compiler: Compiled 13 334 to 1 577 computations (88.2% saved)

prune13.0ms (0.1%)

Memory

40.1MiB live, 40.1MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	395	8	403
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	397	13	410

Accuracy

100.0%

Counts

410 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.8%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
▶	60.8%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
✓	34.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
	74.1%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
✓	32.8%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	74.1%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
	49.8%	#s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 z y z)) x))
✓	52.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
	30.2%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
▶	26.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
▶	55.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))
▶	46.0%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))
	32.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- 1 y) z) (/.f64 #s(literal 1 binary64) z)) x))

Compiler

Compiled 386 to 259 computations (32.9% saved)

simplify13.0ms (0.1%)

Memory

-26.8MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	179
0	41	174
1	62	174
2	83	174
3	111	174
4	149	174
5	176	174
6	195	174
7	220	174
8	266	174
9	323	174
10	385	174
0	385	174

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.6%)

Memory

-8.1MiB live, 85.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.0234375	(*.f64 (-.f64 z x) y)
accuracy	7.819490367027626	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)
accuracy	17.870191994110844	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	1.8020231829787994	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
accuracy	28.60402700993366	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))
accuracy	0.0	(neg.f64 y)
accuracy	3.7005598135162407	(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
accuracy	26.949343662509143	#s(approx (- 1 y) (neg.f64 y))
accuracy	28.60402700993366	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
accuracy	1.5103542683975961	(*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)
accuracy	17.236283071338512	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))
accuracy	28.59346111408034	#s(approx (/ (- z x) z) #s(literal 1 binary64))
accuracy	0.0	(-.f64 z x)
accuracy	0.0078125	(fma.f64 (-.f64 z x) y x)
accuracy	7.819490367027626	(/.f64 (fma.f64 (-.f64 z x) y x) z)

Samples

40.0ms

256×

valid

Compiler

Compiled 129 to 21 computations (83.7% saved)

Precisions

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

ival-mult: 10.0ms (38.8% of total)

ival-div: 9.0ms (34.9% of total)

ival-sub: 3.0ms (11.6% of total)

ival-add: 2.0ms (7.8% of total)

ival-neg: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

18 → 68

Calls

Call 1

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

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

Calls

9 calls:

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

simplify205.0ms (2%)

Memory

-6.8MiB live, 228.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	498
1	460	453
2	1473	448
3	5193	448
0	8288	435

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 65

Calls

Call 1

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

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

rewrite250.0ms (2.5%)

Memory

-1.3MiB live, 228.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	161
0	41	156
1	126	156
2	688	156
3	7069	156
0	8440	156

Stop Event

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

Counts

18 → 357

Calls

Call 1

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

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

eval60.0ms (0.6%)

Memory: 25.2MiB live, 68.6MiB allocated
Compiler: Compiled 13 624 to 1 560 computations (88.5% saved)

prune28.0ms (0.3%)

Memory

-25.5MiB live, 34.6MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	434	2	436
Fresh	0	4	4
Picked	1	4	5
Done	0	4	4
Total	435	14	449

Accuracy

100.0%

Counts

449 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.8%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
	65.8%	(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) (-.f64 z x) (.f64 (neg.f64 x) z)) (neg.f64 z)) z)
▶	28.3%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
✓	34.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
▶	74.1%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
✓	32.8%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	74.1%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
▶	49.8%	#s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 z y z)) x))
✓	52.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
▶	30.2%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
✓	26.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
✓	55.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))
✓	46.0%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))
▶	32.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- 1 y) z) (/.f64 #s(literal 1 binary64) z)) x))

Compiler

Compiled 362 to 239 computations (34% saved)

simplify152.0ms (1.5%)

Memory

22.0MiB live, 151.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	255
0	50	255
1	81	255
2	145	255
3	296	255
4	665	255
5	1605	255
6	4142	255
7	6817	255
0	8025	249

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (0.9%)

Memory

20.1MiB live, 167.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	3.7005598135162407	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 z y z)) x)
accuracy	13.479022313236865	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 z y z))
accuracy	28.60402700993366	#s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 z y z)) x))
accuracy	0.0234375	(*.f64 #s(approx (- z x) (neg.f64 x)) y)
accuracy	7.819490367027626	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
accuracy	17.870191994110844	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
accuracy	35.484198511119764	#s(approx (- z x) (neg.f64 x))
accuracy	0.015625	(/.f64 #s(approx (- z x) (neg.f64 x)) z)
accuracy	1.5103542683975961	(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)
accuracy	17.236283071338512	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
accuracy	35.484198511119764	#s(approx (- z x) (neg.f64 x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) z)
accuracy	3.7005598135162407	(*.f64 #s(approx (/ (- 1 y) z) (/.f64 #s(literal 1 binary64) z)) x)
accuracy	28.60402700993366	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- 1 y) z) (/.f64 #s(literal 1 binary64) z)) x))
accuracy	36.39480071503568	#s(approx (/ (- 1 y) z) (/.f64 #s(literal 1 binary64) z))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
accuracy	0.03515625	(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)
accuracy	26.949343662509143	#s(approx (- 1 y) (neg.f64 y))

Samples

72.0ms

256×

valid

Compiler

Compiled 166 to 28 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 16.0ms (38.7% of total)

ival-div: 15.0ms (36.3% of total)

ival-sub: 4.0ms (9.7% of total)

ival-add: 3.0ms (7.3% of total)

ival-neg: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.5%)

Memory

4.8MiB live, 49.9MiB allocated

Counts

21 → 88

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ 1 z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 (* y y)) (+ (* z y) z)) x) (/ (- 1 (* y y)) (+ (* z y) z)) (- 1 (* y y)) (neg y) (* y y))
3.0ms	z	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ 1 z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 (* y y)) (+ (* z y) z)) x) (/ (- 1 (* y y)) (+ (* z y) z)) (- 1 (* y y)) (neg y) (* y y))
3.0ms	z	@	0	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ 1 z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 (* y y)) (+ (* z y) z)) x) (/ (- 1 (* y y)) (+ (* z y) z)) (- 1 (* y y)) (neg y) (* y y))
3.0ms	y	@	-inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ 1 z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 (* y y)) (+ (* z y) z)) x) (/ (- 1 (* y y)) (+ (* z y) z)) (- 1 (* y y)) (neg y) (* y y))
2.0ms	y	@	inf	((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ 1 z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 (* y y)) (+ (* z y) z)) x) (/ (- 1 (* y y)) (+ (* z y) z)) (- 1 (* y y)) (neg y) (* y y))

simplify299.0ms (3%)

Memory

-40.5MiB live, 248.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	706
1	597	642
2	1905	635
3	5410	635
0	8089	611

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 85

Calls

Call 1

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

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

rewrite285.0ms (2.8%)

Memory

11.6MiB live, 289.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	225
0	50	225
1	164	210
2	1067	210
0	8576	203

Stop Event

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

Counts

21 → 325

Calls

Call 1

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

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

eval50.0ms (0.5%)

Memory: -8.2MiB live, 145.1MiB allocated
Compiler: Compiled 12 541 to 1 576 computations (87.4% saved)

prune15.0ms (0.1%)

Memory

11.4MiB live, 58.1MiB allocated

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	380	1	381
Fresh	0	1	1
Picked	1	4	5
Done	0	8	8
Total	381	14	395

Accuracy

100.0%

Counts

395 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.8%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
	65.8%	(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 z) y) (-.f64 z x) (.f64 (neg.f64 x) z)) (neg.f64 z)) z)
✓	28.3%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)
✓	34.9%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
✓	74.1%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))
✓	32.8%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	74.1%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
✓	52.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
✓	30.2%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
	22.6%	#s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 #s(approx (- 1 ( y y)) (*.f64 (neg.f64 y) y)) (fma.f64 z y z)) x))
✓	26.6%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
✓	55.3%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)))
✓	46.0%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))
✓	32.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- 1 y) z) (/.f64 #s(literal 1 binary64) z)) x))

Compiler

Compiled 575 to 246 computations (57.2% saved)

regimes73.0ms (0.7%)

Memory

-1.3MiB live, 108.1MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	y
5.0ms	z
5.0ms	x
5.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
99.9%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes18.0ms (0.2%)

Memory

-8.5MiB live, 37.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
74.1%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
82.4%	3	`x`
86.6%	3	`y`
83.8%	3	`z`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
74.1%	3	`x`
79.4%	3	`z`
62.1%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes28.0ms (0.3%)

Memory

-32.3MiB live, 14.9MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	z
3.0ms	x
2.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
60.4%	3	`x`
52.9%	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
64.5%	4	`z`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
60.9%	3	`y`
62.2%	4	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.0%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
46.0%	1	`x`
46.0%	1	`z`
46.0%	1	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch38.0ms (0.4%)

Memory

8.4MiB live, 58.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.7468750995932803e-69	8.104337289284824e-69
28.0ms	-7.595959348155398e-23	-4.9755147674877696e-27

Samples

11.0ms

224×

valid

Compiler

Compiled 544 to 405 computations (25.6% saved)

Precisions

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

ival-div: 2.0ms (35.1% of total)

ival-mult: 2.0ms (35.1% of total)

ival-sub: 1.0ms (17.5% of total)

ival-add: 1.0ms (17.5% of total)

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

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

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7468750995932803e-69	8.104337289284824e-69
1.0ms	-7.595959348155398e-23	-4.9755147674877696e-27

Compiler

Compiled 488 to 363 computations (25.6% saved)

bsearch83.0ms (0.8%)

Memory

6.9MiB live, 95.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.5144123253031813e+32	4.2190493706009104e+36
41.0ms	-6.129832941177889e+81	-9.82590023940523e+72

Samples

42.0ms

272×

valid

Compiler

Compiled 624 to 455 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 30.0ms (84.2% of total)

ival-sub: 2.0ms (5.6% of total)

ival-div: 2.0ms (5.6% of total)

ival-mult: 2.0ms (5.6% of total)

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

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

bsearch117.0ms (1.2%)

Memory

-27.6MiB live, 72.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	3.9828505493748165e-67	3.5983871862981676e-66
42.0ms	2.1225197469501463e-263	6.553658099753268e-256
63.0ms	-13349750.533464292	-0.03207490413318296

Samples

69.0ms

384×

valid

Compiler

Compiled 852 to 592 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 53.0ms (87.9% of total)

ival-mult: 3.0ms (5% of total)

ival-sub: 2.0ms (3.3% of total)

ival-add: 2.0ms (3.3% of total)

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

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

bsearch32.0ms (0.3%)

Memory

-11.7MiB live, 31.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7468750995932803e-69	8.104337289284824e-69
30.0ms	-7.595959348155398e-23	-4.9755147674877696e-27

Samples

26.0ms

112×

valid

Compiler

Compiled 460 to 335 computations (27.2% saved)

Precisions

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

ival-sub: 1.0ms (34.9% of total)

ival-div: 1.0ms (34.9% of total)

ival-add: 1.0ms (34.9% of total)

ival-mult: 1.0ms (34.9% of total)

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

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

simplify20.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	296
1	89	296
2	106	296
3	130	296
4	164	296
5	187	296
6	201	296
7	208	296
8	219	296
9	230	296
10	242	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 y #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (<=.f64 y #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 z #s(literal -9500000000000000607765082137000988651177830571589559478285073436432620584960 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 219999999999999985720707807935725568 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))))
(if (<=.f64 z #s(literal -8000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 8655577598126739/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (if (<=.f64 z #s(literal 735140816149873/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -5444517870735015/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))

Outputs
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
(if (<=.f64 y #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))))
(if (or (<=.f64 y #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) (not (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (or (<=.f64 y #s(literal -1742245718635205/348449143727040986586495598010130648530944 binary64)) (not (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(if (<=.f64 z #s(literal -9500000000000000607765082137000988651177830571589559478285073436432620584960 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 219999999999999985720707807935725568 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))))
(if (or (<=.f64 z #s(literal -9500000000000000607765082137000988651177830571589559478285073436432620584960 binary64)) (not (<=.f64 z #s(literal 219999999999999985720707807935725568 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) #s(approx (/ (+ x ( y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))
(if (<=.f64 z #s(literal -8000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal 8655577598126739/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (if (<=.f64 z #s(literal 735140816149873/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -5444517870735015/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))))
(if (or (<=.f64 y #s(literal -5444517870735015/1361129467683753853853498429727072845824 binary64)) (not (<=.f64 y #s(literal 3593937450617599/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) #s(approx (/ (+ x ( y (- z x))) z) (/.f64 x z)))
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))

soundness1.2s (12.2%)

Memory

-33.0MiB live, 648.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	133
0	34	133
1	116	133
2	734	133
3	7967	133
0	8154	127
0	153	584
1	494	518
2	1554	513
3	5095	513
0	8231	494
0	106	326
1	371	245
2	1249	245
3	4274	245
4	7887	245
0	8017	230

Stop Event

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

Compiler

Compiled 484 to 223 computations (53.9% saved)

preprocess73.0ms (0.7%)

Memory: -3.9MiB live, 101.6MiB allocated
Compiler: Compiled 632 to 154 computations (75.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	33	92
1	91	92
2	232	88
3	470	88
4	839	88
5	950	88
6	950	88
0	7	9
0	11	9
1	19	9
2	34	9
3	60	9
4	95	9
5	120	9
6	134	9
7	142	9
8	154	9
9	165	9
10	178	9
0	178	8

Iter	Nodes	Cost
0	7	27
0	11	27
1	19	27
2	34	27
3	60	27
4	95	27
5	120	27
6	134	27
7	142	27
8	154	27
9	165	27
10	178	27
0	178	25

Iter	Nodes	Cost
0	23	154
0	34	154
1	59	154
2	84	154
3	134	154
4	214	154
5	277	154
6	296	154
7	303	154
8	308	154
9	312	154
0	312	148

Iter	Nodes	Cost
0	28	179
0	41	174
1	62	174
2	83	174
3	111	174
4	149	174
5	176	174
6	195	174
7	220	174
8	266	174
9	323	174
10	385	174
0	385	174

Iter	Nodes	Cost
0	60	296
1	89	296
2	106	296
3	130	296
4	164	296
5	187	296
6	201	296
7	208	296
8	219	296
9	230	296
10	242	296

Iter	Nodes	Cost
0	33	92
1	91	92
2	232	88
3	470	88
4	839	88
5	950	88
6	950	88
0	7	9
0	11	9
1	19	9
2	34	9
3	60	9
4	95	9
5	120	9
6	134	9
7	142	9
8	154	9
9	165	9
10	178	9
0	178	8

Iter	Nodes	Cost
0	7	27
0	11	27
1	19	27
2	34	27
3	60	27
4	95	27
5	120	27
6	134	27
7	142	27
8	154	27
9	165	27
10	178	27
0	178	25

Iter	Nodes	Cost
0	23	154
0	34	154
1	59	154
2	84	154
3	134	154
4	214	154
5	277	154
6	296	154
7	303	154
8	308	154
9	312	154
0	312	148

Iter	Nodes	Cost
0	28	179
0	41	174
1	62	174
2	83	174
3	111	174
4	149	174
5	176	174
6	195	174
7	220	174
8	266	174
9	323	174
10	385	174
0	385	174

Iter	Nodes	Cost
0	60	296
1	89	296
2	106	296
3	130	296
4	164	296
5	187	296
6	201	296
7	208	296
8	219	296
9	230	296
10	242	296

start0.0ms (0%)

analyze84.0ms (0.8%)

sample970.0ms (9.7%)

explain116.0ms (1.2%)

preprocess41.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize24.0ms (0.2%)

series12.0ms (0.1%)

simplify3.8s (37.9%)

rewrite662.0ms (6.6%)

eval87.0ms (0.9%)

prune152.0ms (1.5%)

simplify19.0ms (0.2%)

localize217.0ms (2.2%)

series41.0ms (0.4%)

simplify220.0ms (2.2%)

rewrite212.0ms (2.1%)

eval55.0ms (0.5%)

prune13.0ms (0.1%)

simplify13.0ms (0.1%)

localize57.0ms (0.6%)

series12.0ms (0.1%)

simplify205.0ms (2%)

rewrite250.0ms (2.5%)

eval60.0ms (0.6%)

prune28.0ms (0.3%)

simplify152.0ms (1.5%)

localize95.0ms (0.9%)

series49.0ms (0.5%)

simplify299.0ms (3%)

rewrite285.0ms (2.8%)

eval50.0ms (0.5%)

prune15.0ms (0.1%)

regimes73.0ms (0.7%)

regimes18.0ms (0.2%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

regimes28.0ms (0.3%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch38.0ms (0.4%)

bsearch2.0ms (0%)

bsearch83.0ms (0.8%)

bsearch117.0ms (1.2%)

bsearch32.0ms (0.3%)

simplify20.0ms (0.2%)

soundness1.2s (12.2%)

preprocess73.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	33	92
1	91	92
2	232	88
3	470	88
4	839	88
5	950	88
6	950	88
0	7	9
0	11	9
1	19	9
2	34	9
3	60	9
4	95	9
5	120	9
6	134	9
7	142	9
8	154	9
9	165	9
10	178	9
0	178	8

Iter	Nodes	Cost
0	7	27
0	11	27
1	19	27
2	34	27
3	60	27
4	95	27
5	120	27
6	134	27
7	142	27
8	154	27
9	165	27
10	178	27
0	178	25

Iter	Nodes	Cost
0	23	154
0	34	154
1	59	154
2	84	154
3	134	154
4	214	154
5	277	154
6	296	154
7	303	154
8	308	154
9	312	154
0	312	148

Iter	Nodes	Cost
0	28	179
0	41	174
1	62	174
2	83	174
3	111	174
4	149	174
5	176	174
6	195	174
7	220	174
8	266	174
9	323	174
10	385	174
0	385	174

Iter	Nodes	Cost
0	60	296
1	89	296
2	106	296
3	130	296
4	164	296
5	187	296
6	201	296
7	208	296
8	219	296
9	230	296
10	242	296