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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.8%)

Memory

-10.3MiB live, 79.1MiB 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)

sample1.2s (20%)

Memory

22.3MiB live, 1 125.5MiB allocated

Samples

685.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 467.0ms

ival-sub: 286.0ms (61.3% of total)

ival-div: 78.0ms (16.7% of total)

ival-mult: 54.0ms (11.6% of total)

ival-add: 41.0ms (8.8% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain94.0ms (1.6%)

Memory

-29.7MiB live, 134.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
41	-	-	`(/.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	41	0
↳	`(+.f64 x (*.f64 y (-.f64 z x)))`	overflow	61
↳	`(*.f64 y (-.f64 z x))`	overflow	61

Confusion

	Predicted +	Predicted -
+	41	0
-	0	215

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	0
-	0	0	215

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

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

ival-add: 6.0ms (37.3% of total)

ival-sub: 3.0ms (18.7% of total)

ival-div: 3.0ms (18.7% of total)

ival-mult: 3.0ms (18.7% of total)

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

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

preprocess26.0ms (0.4%)

Memory

19.8MiB live, 19.8MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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

localize29.0ms (0.5%)

Memory

-2.3MiB live, 31.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.0078125	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	0.01171875	(*.f64 y (-.f64 z x))
accuracy	9.645902750672882	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Samples

24.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (38.7% of total)

ival-mult: 2.0ms (25.8% of total)

ival-sub: 1.0ms (12.9% of total)

ival-add: 1.0ms (12.9% of total)

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

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

series8.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB 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
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	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))

simplify126.0ms (2.2%)

Memory

-5.3MiB live, 113.5MiB 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)

rewrite263.0ms (4.5%)

Memory

-13.4MiB live, 181.4MiB 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 (exp.f64 (log.f64 (.f64 (.f64 y (+.f64 z x)) (-.f64 z x)))) (exp.f64 (log.f64 (+.f64 z x))))
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(/.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))))
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(/.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)))
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(/.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)))
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(/.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)))
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(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)))

eval38.0ms (0.7%)

Memory: 30.3MiB live, 65.9MiB allocated
Compiler: Compiled 8 731 to 1 195 computations (86.3% saved)

prune12.0ms (0.2%)

Memory

-12.0MiB live, 24.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	325	8	333
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	326	8	334

Accuracy

100.0%

Counts

334 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.9%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
▶	50.9%	(/.f64 (fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 y (+.f64 z x)) x) z)
▶	55.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
	33.0%	(/.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))
▶	39.8%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
	67.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
▶	57.2%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))

Compiler

Compiled 234 to 158 computations (32.5% saved)

simplify135.0ms (2.3%)

Memory

16.3MiB live, 170.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) (-.f64 z x))
cost-diff	0	(/.f64 (fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 y (+.f64 z x)) x) z)
cost-diff	8	(fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 y (+.f64 z x)) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff	0	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
cost-diff	0	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
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 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	25	181
0	40	181
1	72	181
2	146	181
3	479	171
4	1833	167
5	7336	167
0	8674	160

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

localize136.0ms (2.3%)

Memory

-36.7MiB live, 106.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (+.f64 z x) (-.f64 z x))
accuracy	0.01171875	(/.f64 y (+.f64 z x))
accuracy	9.645902750672882	(/.f64 (fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 y (+.f64 z x)) x) z)
accuracy	22.293042373319523	(fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 y (+.f64 z x)) x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	9.645902750672882	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
accuracy	26.828707316056885	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	1.8377497659495516	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
accuracy	27.116691972520854	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))
accuracy	0.0	(/.f64 x z)
accuracy	38.537930153115425	#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	0.04296875	(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)

Samples

85.0ms

256×

valid

Compiler

Compiled 153 to 23 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 38.0ms (65.6% of total)

ival-div: 12.0ms (20.7% of total)

ival-add: 4.0ms (6.9% of total)

ival-sub: 3.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

16 → 100

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

Outputs
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(/ x z)
(/ (* x (- 1 y)) z)
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(pow z 2)
(+ (* x (+ z (* -1 z))) (pow z 2))
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))
z
(+ x z)
(/ y z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ y z))
(+ (* x (- (/ (* x y) (pow z 3)) (/ y (pow z 2)))) (/ y z))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (* -1 (/ y (pow z 3))))) (/ y (pow z 2)))) (/ 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)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1))
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))
x
(* x (+ 1 (/ z x)))
(/ y x)
(/ (+ y (* -1 (/ (* y z) x))) x)
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (/ (* y z) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y z) x))) 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 (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (* y z) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow z 2)) x) (* y z)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow z 3)) x) (* y (pow z 2))) x)) (* y z)) x))) x))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
(/ y (+ x 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))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (/ y z))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -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)))))
(* -1 (* y (+ 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)
(+ x (+ (* -1 (* x y)) (* y z)))
(+ (* -1 (pow x 2)) (* z (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))
(+ (* -1 (/ (* y z) (pow x 2))) (/ y x))
(+ (* z (- (/ (* y z) (pow x 3)) (/ y (pow x 2)))) (/ y x))
(+ (* z (- (* z (- (* -1 (/ (* y z) (pow x 4))) (* -1 (/ y (pow x 3))))) (/ y (pow x 2)))) (/ y x))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (/ (* x (- 1 y)) z))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))
(* z (+ 1 (/ x z)))
(/ (+ y (* -1 (/ (* x y) z))) z)
(/ (- (+ y (/ (* (pow x 2) y) (pow z 2))) (/ (* x y) z)) z)
(/ (- (+ y (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (/ (* x y) z))) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (/ (+ (* -1 y) (/ (* x y) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* (pow x 2) y) z) (* x y)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* (pow x 2) y)) z)) (* x y)) z))) z))

Calls

9 calls:

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

simplify547.0ms (9.4%)

Memory

6.2MiB live, 120.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	1054
1	1014	922
2	3407	880
0	8253	845

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 97

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 z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(pow z 2)
(+ (* x (+ z (* -1 z))) (pow z 2))
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))
z
(+ x z)
(/ y z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ y z))
(+ (* x (- (/ (* x y) (pow z 3)) (/ y (pow z 2)))) (/ y z))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (* -1 (/ y (pow z 3))))) (/ y (pow z 2)))) (/ 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)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1))
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))
x
(* x (+ 1 (/ z x)))
(/ y x)
(/ (+ y (* -1 (/ (* y z) x))) x)
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (/ (* y z) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y z) x))) 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 (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (* y z) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow z 2)) x) (* y z)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow z 3)) x) (* y (pow z 2))) x)) (* y z)) x))) x))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
1
(+ 1 (* -1 y))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
(/ y (+ x 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))
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(* -1 (/ y z))
(* y (- (/ 1 (* y z)) (/ 1 z)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -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)))))
(* -1 (* y (+ 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)
(+ x (+ (* -1 (* x y)) (* y z)))
(+ (* -1 (pow x 2)) (* z (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))
(+ (* -1 (/ (* y z) (pow x 2))) (/ y x))
(+ (* z (- (/ (* y z) (pow x 3)) (/ y (pow x 2)))) (/ y x))
(+ (* z (- (* z (- (* -1 (/ (* y z) (pow x 4))) (* -1 (/ y (pow x 3))))) (/ y (pow x 2)))) (/ y x))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (/ (* x (- 1 y)) z))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))
(* z (+ 1 (/ x z)))
(/ (+ y (* -1 (/ (* x y) z))) z)
(/ (- (+ y (/ (* (pow x 2) y) (pow z 2))) (/ (* x y) z)) z)
(/ (- (+ y (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (/ (* x y) z))) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (/ (+ (* -1 y) (/ (* x y) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* (pow x 2) y) z) (* x y)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* (pow x 2) y)) z)) (* x y)) z))) z))

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

rewrite196.0ms (3.4%)

Memory

-23.4MiB live, 367.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	152
0	40	152
1	144	138
2	1118	138
0	8377	131

Stop Event

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

Counts

16 → 572

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

eval118.0ms (2%)

Memory: 13.5MiB live, 225.6MiB allocated
Compiler: Compiled 25 463 to 2 847 computations (88.8% saved)

prune24.0ms (0.4%)

Memory

-26.1MiB live, 48.5MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	772	6	778
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	774	12	786

Accuracy

100.0%

Counts

786 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
	38.5%	(/.f64 (fma.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (neg.f64 x) x)) (/.f64 y (+.f64 z x)) x) z)
✓	55.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
	20.2%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
	33.0%	(/.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))
▶	81.8%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
✓	39.8%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
▶	67.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
▶	22.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
▶	39.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
	25.7%	#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)))

Compiler

Compiled 366 to 252 computations (31.1% saved)

simplify11.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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	#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 (- 1 y) #s(literal 1 binary64))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
cost-diff	0	#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
cost-diff	0	(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
cost-diff	0	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
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	27	189
0	41	185
1	66	185
2	94	185
3	145	185
4	221	185
5	286	185
6	316	185
7	338	185
8	350	185
0	350	185

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

localize66.0ms (1.1%)

Memory

19.7MiB live, 55.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.0234375	(/.f64 (-.f64 z x) z)
accuracy	2.8876490751547013	(*.f64 (/.f64 (-.f64 z x) z) y)
accuracy	22.730415384303285	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
accuracy	0.00390625	(/.f64 #s(approx (- 1 y) (neg.f64 y)) z)
accuracy	1.8377497659495516	(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)
accuracy	27.116691972520854	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
accuracy	32.05725930513653	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
accuracy	0.04296875	(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)
accuracy	31.161867614029422	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	1.8377497659495516	(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)
accuracy	27.116691972520854	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
accuracy	31.161867614029422	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.0	(-.f64 z x)
accuracy	0.0078125	(fma.f64 (-.f64 z x) y x)
accuracy	9.645902750672882	(/.f64 (fma.f64 (-.f64 z x) y x) z)

Samples

53.0ms

256×

valid

Compiler

Compiled 135 to 22 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 22.0ms (58.9% of total)

ival-div: 8.0ms (21.4% of total)

ival-sub: 3.0ms (8% of total)

ival-add: 3.0ms (8% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

-21.5MiB live, 22.9MiB allocated

Counts

17 → 73

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z))
2.0ms	z	@	-inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z))
1.0ms	x	@	inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z))
1.0ms	x	@	-inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z))
1.0ms	y	@	-inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z))

simplify140.0ms (2.4%)

Memory

30.3MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	584
1	494	518
2	1550	513
3	5117	513
0	8274	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 z)
(+ (* x (+ 1 (* -1 y))) (* y z))
z
(+ z (* -1 x))
(/ (* x (- 1 y)) z)
(+ y (* x (- (/ 1 z) (/ y z))))
(/ x z)
(+ y (* -1 (/ (* x y) z)))
1
(+ 1 (* -1 (/ x 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))
(* 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 (- 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)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(* -1 (* x (- (/ 1 z) (/ 1 x))))
(+ (* y (- 1 (/ x z))) (/ x z))
x
(+ x (* y (- z x)))
(+ (* -1 (/ (* x y) z)) (/ x z))
(/ 1 z)
(+ (* -1 (/ y z)) (/ 1 z))
(+ 1 (* -1 y))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* 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)
(* y (- (/ 1 y) 1))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -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))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(/ (+ 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 y) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* -1 (* x y)) (* y z)) z)
(/ (+ z (* -1 x)) z)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(+ y (/ (* x (- 1 y)) 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 z)
(*.f64 y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
z
(+ z (* -1 x))
(-.f64 z x)
(/ (* x (- 1 y)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(+ y (* x (- (/ 1 z) (/ y z))))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ x z)
(/.f64 x z)
(+ y (* -1 (/ (* x y) z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x z)))
(/.f64 (-.f64 z x) z)
(/ (* 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 (* -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)
(* 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 (/.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 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)))
(*.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)))))
(*.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)) 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))
(+ (* 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)
(+ (* -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)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (* y (- z x)) z)
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y 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) z) y) (/.f64 #s(literal 1 binary64) z)) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)
(* y (+ 1 (* -1 (/ x z))))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) 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 (+ (* -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))
(* -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)
(/ (+ 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 (* 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 y) z)
(/.f64 (-.f64 #s(literal 1 binary64) y) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(/ (+ (* -1 (* x y)) (* y z)) z)
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(/ (+ z (* -1 x)) z)
(/.f64 (-.f64 z x) 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)
(+ y (/ (* x (- 1 y)) z))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(* -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)))

rewrite184.0ms (3.2%)

Memory

-18.8MiB live, 266.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	163
0	41	159
1	140	159
2	796	159
0	8447	159

Stop Event

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

Counts

17 → 388

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

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

eval53.0ms (0.9%)

Memory: 6.9MiB live, 88.5MiB allocated
Compiler: Compiled 16 894 to 1 654 computations (90.2% saved)

prune13.0ms (0.2%)

Memory

-8.5MiB live, 29.6MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	468	4	472
Fresh	3	1	4
Picked	0	5	5
Done	0	3	3
Total	471	13	484

Accuracy

100.0%

Counts

484 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
▶	81.8%	(/.f64 (fma.f64 #s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) y x) z)
▶	33.0%	(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 y z)) z)
✓	55.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
▶	20.2%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
✓	99.9%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
✓	81.8%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
✓	39.8%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	67.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
▶	25.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
✓	22.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
✓	39.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
▶	44.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))

Compiler

Compiled 304 to 207 computations (31.9% saved)

simplify19.0ms (0.3%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	234
0	51	234
1	75	234
2	106	234
3	150	234
4	229	234
5	295	234
6	341	234
7	382	234
8	410	234
9	442	234
10	474	234
11	478	234
12	482	234
13	487	234
14	492	234
0	492	228

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.1%)

Memory

2.8MiB live, 78.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy	9.645902750672882	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
accuracy	26.828707316056885	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy	32.05725930513653	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0234375	(/.f64 #s(approx (- z x) (neg.f64 x)) z)
accuracy	2.8876490751547013	(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)
accuracy	22.730415384303285	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
accuracy	33.11280901742241	#s(approx (- z x) (neg.f64 x))
accuracy	0.0	(*.f64 y z)
accuracy	9.645902750672882	(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 y z)) z)
accuracy	34.12594922295365	#s(approx (+ (* (- z x) y) x) (*.f64 y z))
accuracy	2.8876490751547013	(*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)
accuracy	22.730415384303285	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))
accuracy	30.043492684070458	#s(approx (/ (- z x) z) #s(literal 1 binary64))
accuracy	0.0	#s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64))))
accuracy	0.0078125	(fma.f64 #s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) y x)
accuracy	7.494000071905096	(*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))
accuracy	9.645902750672882	(/.f64 (fma.f64 #s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) y x) z)

Samples

48.0ms

256×

valid

Compiler

Compiled 145 to 24 computations (83.4% saved)

Precisions

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

ival-mult: 9.0ms (34% of total)

ival-div: 7.0ms (26.5% of total)

ival-sub: 4.0ms (15.1% of total)

ival-add: 4.0ms (15.1% of total)

ival-neg: 3.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

-17.6MiB live, 24.1MiB allocated

Counts

18 → 56

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) y x) z)
(fma.f64 #s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) y x)
#s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))
#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))
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 y z)) z)
#s(approx (+ (* (- z x) y) x) (*.f64 y z))
(*.f64 y 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 (- 1 y) (neg.f64 y)) x)) z)
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 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))
(/ (* 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 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))))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
x
(+ x (* y (- z x)))
(/ (* y (- z x)) z)
(+ x (* -1 (* x y)))
(+ 1 (* -1 y))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(+ x (+ (* -1 (* x y)) (* y z)))
(- z x)
(/ (+ (* -1 (* x y)) (* y z)) z)
(/ (+ z (* -1 x)) z)
(+ y (+ (* -1 (/ (* x y) z)) (/ x 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
8.0ms	y	@	inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (* (neg z) (- (/ x z) 1)) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* y z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))
1.0ms	y	@	-inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (* (neg z) (- (/ x z) 1)) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* y z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))
1.0ms	z	@	-inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (* (neg z) (- (/ x z) 1)) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* y z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))
1.0ms	x	@	inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (* (neg z) (- (/ x z) 1)) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* y z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))
1.0ms	x	@	-inf	((/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (* (neg z) (- (/ x z) 1)) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* y z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y))

simplify271.0ms (4.7%)

Memory

0.8MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	404
1	408	365
2	1267	362
3	4336	362
0	8224	349

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 53

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

rewrite205.0ms (3.5%)

Memory

12.6MiB live, 219.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	206
0	51	206
1	159	206
2	936	206
0	8634	200

Stop Event

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

Counts

18 → 146

Calls

Call 1

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

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

eval23.0ms (0.4%)

Memory: 7.3MiB live, 42.9MiB allocated
Compiler: Compiled 6 509 to 589 computations (91% saved)

prune38.0ms (0.7%)

Memory

-25.0MiB live, 20.0MiB allocated

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	5	5
Done	0	8	8
Total	176	13	189

Accuracy

100.0%

Counts

189 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
✓	81.8%	(/.f64 (fma.f64 #s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) y x) z)
✓	33.0%	(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 y z)) z)
✓	55.0%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)
✓	20.2%	(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
✓	99.9%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y))
✓	81.8%	#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
✓	39.8%	#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))
✓	67.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))
✓	25.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y))
✓	22.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))
✓	39.7%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
✓	44.4%	#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y))

Compiler

Compiled 534 to 233 computations (56.4% saved)

regimes32.0ms (0.6%)

Memory

10.5MiB live, 47.0MiB 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 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 y z)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) 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 #s(approx (- z x) (neg.f64 x)) z) y))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#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))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) 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)
(/.f64 (fma.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (neg.f64 x) x)) (/.f64 y (+.f64 z x)) x) z)
(/.f64 (fma.f64 #s(approx (- z x) (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) y x) z)
(/.f64 (fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 y (+.f64 z x)) x) z)

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

Calls

4 calls:

15.0ms	x
6.0ms	z
5.0ms	y
5.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

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

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes19.0ms (0.3%)

Memory

8.5MiB live, 45.7MiB 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 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 y z)) z)
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) 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 #s(approx (- z x) (neg.f64 x)) z) y))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z)
#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))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z)

Outputs

#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) #s(literal 1 binary64)) y))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.5%	3	`x`
98.5%	3	`y`
88.0%	3	`z`
91.1%	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes10.0ms (0.2%)

Memory

-14.1MiB live, 23.4MiB allocated

Counts

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

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

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
92.5%	3	`x`
81.8%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.2%)

Memory

29.7MiB live, 29.7MiB allocated

Counts

10 → 2

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.8%	1	`z`
81.8%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
84.3%	2	`x`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes64.0ms (1.1%)

Memory

-37.4MiB live, 12.0MiB allocated

Counts

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

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

Calls

3 calls:

59.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
81.8%	1	`y`
81.8%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
81.8%	1	`x`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes9.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB 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 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x))
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 y z)) 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 x z))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.0%	3	`z`
66.3%	3	`x`
66.3%	3	`y`
50.2%	2	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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	x
1.0ms	z
1.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
44.4%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
44.4%	1	`z`
44.4%	1	`x`
44.4%	1	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch53.0ms (0.9%)

Memory

-11.1MiB live, 27.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.4242341760251037e-20	1.5880347817605071e-12
8.0ms	-1797.1296320953825	-148.33517779733742

Samples

42.0ms

240×

valid

Compiler

Compiled 567 to 418 computations (26.3% saved)

Precisions

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

ival-div: 2.0ms (34.5% of total)

ival-mult: 2.0ms (34.5% of total)

ival-sub: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

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

bsearch69.0ms (1.2%)

Memory

-9.0MiB live, 27.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2000945759177669e+38	1.3483915230392313e+53
4.0ms	-8.201708426323324e+132	-5.6144968680860566e+132

Samples

10.0ms

208×

valid

Compiler

Compiled 493 to 377 computations (23.5% saved)

Precisions

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

ival-sub: 1.0ms (19.9% of total)

ival-div: 1.0ms (19.9% of total)

ival-add: 1.0ms (19.9% of total)

ival-mult: 1.0ms (19.9% of total)

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

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

bsearch8.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.3803446131235745e+223	4.278480986963289e+223

Samples

4.0ms

80×

valid

Compiler

Compiled 232 to 173 computations (25.4% saved)

Precisions

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

ival-div: 1.0ms (51.8% of total)

ival-mult: 1.0ms (51.8% of total)

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

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

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

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

bsearch23.0ms (0.4%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.4242341760251037e-20	1.5880347817605071e-12
9.0ms	-6.894655085114258e-19	-4.196222470165929e-21

Samples

11.0ms

240×

valid

Compiler

Compiled 524 to 381 computations (27.3% saved)

Precisions

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

ival-div: 2.0ms (34% of total)

ival-mult: 2.0ms (34% of total)

ival-sub: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

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

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

simplify41.0ms (0.7%)

Memory

-0.3MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	238
1	91	238
2	120	238
3	154	238
4	189	238
5	212	238
6	226	238
7	239	238
8	267	238
9	304	238
10	350	238
11	362	238
12	380	238
13	394	238

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 -150 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 3837614121784679/2475880078570760549798248448 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y))))
(if (<=.f64 x #s(literal -7999999999999999926636539218890212509492870799859879295872737812141353213324797089608343471892332562956818025406639861799915697995776 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 129999999999999999118723327667011636940022097452728320 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(if (<=.f64 x #s(literal 35999999999999999109239325115628360880068497908114742035403439641419719044486134583090265424339550470868484740664241684476143658170477963603712742099674683818269178602859687721182481244036149618979231208321716947613120462848 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(if (<=.f64 y #s(literal -2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 2636713248474717/40564819207303340847894502572032 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 -150 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 3837614121784679/2475880078570760549798248448 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #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 -150 binary64)) (not (<=.f64 y #s(literal 3837614121784679/2475880078570760549798248448 binary64)))) #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) #s(literal 1 binary64)) y)))
(if (<=.f64 x #s(literal -7999999999999999926636539218890212509492870799859879295872737812141353213324797089608343471892332562956818025406639861799915697995776 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 129999999999999999118723327667011636940022097452728320 binary64)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))))
(if (or (<=.f64 x #s(literal -7999999999999999926636539218890212509492870799859879295872737812141353213324797089608343471892332562956818025406639861799915697995776 binary64)) (not (<=.f64 x #s(literal 129999999999999999118723327667011636940022097452728320 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #s(approx (/ (+ x ( y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)))
(if (<=.f64 x #s(literal 35999999999999999109239325115628360880068497908114742035403439641419719044486134583090265424339550470868484740664241684476143658170477963603712742099674683818269178602859687721182481244036149618979231208321716947613120462848 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))))
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y))
(if (<=.f64 y #s(literal -2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal 2636713248474717/40564819207303340847894502572032 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 -2076918743413931/5192296858534827628530496329220096 binary64)) (not (<=.f64 y #s(literal 2636713248474717/40564819207303340847894502572032 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 (20.7%)

Memory

-32.9MiB live, 433.8MiB allocated

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
0	153	584
1	494	518
2	1550	513
3	5117	513
0	8274	494
0	311	1054
1	1014	922
2	3407	880
0	8253	845

Stop Event

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

Compiler

Compiled 406 to 198 computations (51.2% saved)

preprocess162.0ms (2.8%)

Memory: 8.6MiB live, 47.0MiB allocated
Compiler: Compiled 516 to 150 computations (70.9% 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	27	189
0	41	185
1	66	185
2	94	185
3	145	185
4	221	185
5	286	185
6	316	185
7	338	185
8	350	185
0	350	185

Iter	Nodes	Cost
0	35	234
0	51	234
1	75	234
2	106	234
3	150	234
4	229	234
5	295	234
6	341	234
7	382	234
8	410	234
9	442	234
10	474	234
11	478	234
12	482	234
13	487	234
14	492	234
0	492	228

Iter	Nodes	Cost
0	56	238
1	91	238
2	120	238
3	154	238
4	189	238
5	212	238
6	226	238
7	239	238
8	267	238
9	304	238
10	350	238
11	362	238
12	380	238
13	394	238

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	27	189
0	41	185
1	66	185
2	94	185
3	145	185
4	221	185
5	286	185
6	316	185
7	338	185
8	350	185
0	350	185

Iter	Nodes	Cost
0	35	234
0	51	234
1	75	234
2	106	234
3	150	234
4	229	234
5	295	234
6	341	234
7	382	234
8	410	234
9	442	234
10	474	234
11	478	234
12	482	234
13	487	234
14	492	234
0	492	228

Iter	Nodes	Cost
0	56	238
1	91	238
2	120	238
3	154	238
4	189	238
5	212	238
6	226	238
7	239	238
8	267	238
9	304	238
10	350	238
11	362	238
12	380	238
13	394	238

start0.0ms (0%)

analyze44.0ms (0.8%)

sample1.2s (20%)

explain94.0ms (1.6%)

preprocess26.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize29.0ms (0.5%)

series8.0ms (0.1%)

simplify126.0ms (2.2%)

rewrite263.0ms (4.5%)

eval38.0ms (0.7%)

prune12.0ms (0.2%)

simplify135.0ms (2.3%)

localize136.0ms (2.3%)

series22.0ms (0.4%)

simplify547.0ms (9.4%)

rewrite196.0ms (3.4%)

eval118.0ms (2%)

prune24.0ms (0.4%)

simplify11.0ms (0.2%)

localize66.0ms (1.1%)

series20.0ms (0.3%)

simplify140.0ms (2.4%)

rewrite184.0ms (3.2%)

eval53.0ms (0.9%)

prune13.0ms (0.2%)

simplify19.0ms (0.3%)

localize63.0ms (1.1%)

series19.0ms (0.3%)

simplify271.0ms (4.7%)

rewrite205.0ms (3.5%)

eval23.0ms (0.4%)

prune38.0ms (0.7%)

regimes32.0ms (0.6%)

regimes19.0ms (0.3%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes64.0ms (1.1%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch53.0ms (0.9%)

bsearch69.0ms (1.2%)

bsearch8.0ms (0.1%)

bsearch23.0ms (0.4%)

simplify41.0ms (0.7%)

soundness1.2s (20.7%)

preprocess162.0ms (2.8%)

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	27	189
0	41	185
1	66	185
2	94	185
3	145	185
4	221	185
5	286	185
6	316	185
7	338	185
8	350	185
0	350	185

Iter	Nodes	Cost
0	35	234
0	51	234
1	75	234
2	106	234
3	150	234
4	229	234
5	295	234
6	341	234
7	382	234
8	410	234
9	442	234
10	474	234
11	478	234
12	482	234
13	487	234
14	492	234
0	492	228

Iter	Nodes	Cost
0	56	238
1	91	238
2	120	238
3	154	238
4	189	238
5	212	238
6	226	238
7	239	238
8	267	238
9	304	238
10	350	238
11	362	238
12	380	238
13	394	238