Metrics for Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample763.0ms (10.4%)

Memory

38.3MiB live, 1 024.0MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-mult: 211.0ms (68.1% of total)

ival-add: 91.0ms (29.4% of total)

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

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

Bogosity

explain177.0ms (2.4%)

Memory

-7.7MiB live, 104.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

83.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.9% of total)

ival-add: 2.0ms (20.5% of total)

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

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

preprocess78.0ms (1.1%)

Memory

-12.3MiB live, 33.8MiB allocated

Algorithm

1×	egg-herbie

Rules

230×	`unsub-neg`
186×	`associate-r`
144×	`distribute-lft-in`
128×	`distribute-rgt-in`
114×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	79	64
2	181	64
3	440	64
4	824	64
5	1076	64
6	1104	64
0	6	7
0	9	7
1	14	7
2	15	7
0	15	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

14×	`lower-*.f32`
10×	`lower-*.f64`
8×	`lower-fma.f64`
8×	`lower-fma.f32`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	15	18
0	15	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.015625	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0.1328125	(.f64 (.f64 y z) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (66.2% of total)

ival-add: 1.0ms (22.1% of total)

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

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

series56.0ms (0.8%)

Memory

-24.6MiB live, 12.7MiB allocated

Counts

3 → 84

Calls

Call 1

Inputs
#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())

Inputs

#s(alt (+.f64 x (*.f64 (*.f64 y z) z)) (patch (+.f64 x (*.f64 (*.f64 y z) z)) #<representation:binary64>) () ())

#s(alt (*.f64 (*.f64 y z) z) (patch (*.f64 (*.f64 y z) z) #<representation:binary64>) () ())

#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation:binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ x (pow z 2)))) (taylor inf z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ x (pow z 2)))) (taylor inf z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ x (pow z 2)))) (taylor inf z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ x (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ x (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ y (/ x (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow z 2))) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow z 2))) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow z 2))) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) (taylor -inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) (taylor -inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2))))) (taylor -inf y) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) z)) (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	y	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	x	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	z	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z))

simplify192.0ms (2.6%)

Memory

25.7MiB live, 146.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 268×	`lower-fma.f64`
4 268×	`lower-fma.f32`
3 274×	`lower-*.f64`
3 274×	`lower-*.f32`
1 350×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	410
1	87	410
2	237	410
3	702	410
4	2129	410
5	4262	410
6	6911	410
0	8031	383

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

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

Outputs
x
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z y) z x)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z y) z x)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z y) z x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z y) z x)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z y) z x)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z y) z x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (+ (/ x y) (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(* y (+ (/ x y) (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(* y (+ (/ x y) (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(fma.f64 (*.f64 z y) z x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(fma.f64 (*.f64 z y) z x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(fma.f64 (*.f64 z y) z x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (*.f64 z y) z x)
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (*.f64 z y) z x)
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (*.f64 z y) z x)
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (*.f64 z y) z x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (*.f64 z y) z x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (*.f64 z y) z x)

rewrite280.0ms (3.8%)

Memory

-23.7MiB live, 316.0MiB allocated

Rules

13 740×	`lower-fma.f64`
13 740×	`lower-fma.f32`
4 866×	`lower-*.f32`
4 862×	`lower-*.f64`
3 952×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	14

Stop Event

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

Counts

3 → 174

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (.f64 (*.f64 z y) z) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (*.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z y) z) (fma.f64 (.f64 z y) z x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 (.f64 z y) z) x)) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (*.f64 z y) z))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 (.f64 z y) z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 z y) z)) (fma.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 z y) z) (neg.f64 (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (hypot.f64 (.f64 (*.f64 z y) z) x) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (*.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x))) (pow.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (*.f64 z y) z) x))))
(.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 z y) z x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (-.f64 x (.f64 (.f64 z y) z)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (hypot.f64 (.f64 (.f64 z y) z) x))))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (.f64 (*.f64 z y) z) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 z y) z)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (*.f64 z y) z) x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 3 binary64))))))
(.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x)))
(.f64 (pow.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z x))
(.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)))))
(.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x))))
(.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal -1 binary64)))
(.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (/.f64 (fma.f64 (.f64 z y) z x) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x))))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) z x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (*.f64 z y) z) x))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (hypot.f64 (.f64 (.f64 z y) z) x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (*.f64 z y) z) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (.f64 (*.f64 z y) z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (*.f64 z y) z) x))))
(/.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (*.f64 z y) z) x)))
(neg.f64 (neg.f64 (fma.f64 (*.f64 z y) z x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 z y) z))
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
(fma.f64 (exp.f64 (log.f64 y)) (*.f64 z z) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 z)) x)
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 z y))) x)
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 1 binary64)) z x)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (*.f64 z z) x)
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z y) z) (fma.f64 (.f64 z y) z x) (.f64 x x)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x))) (fma.f64 (.f64 z y) z x) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 z) z) y) x)
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (*.f64 z z) (exp.f64 (log.f64 y)) x)
(fma.f64 (*.f64 z z) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 z z) y x)
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (.f64 z y) z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (*.f64 z y) z x)
(fma.f64 z (pow.f64 (*.f64 z y) #s(literal 1 binary64)) x)
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (*.f64 z z) x)
(fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (hypot.f64 (.f64 (.f64 z y) z) x))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (hypot.f64 (.f64 (.f64 z y) z) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x)))) (neg.f64 (fma.f64 (.f64 z y) z x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x)) (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x)) (-.f64 x (.f64 (.f64 z y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (hypot.f64 (.f64 (.f64 z y) z) x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 z y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 (.f64 z y) z) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 (.f64 z y) z))) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))))
(-.f64 x (.f64 (.f64 (neg.f64 z) z) y))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(+.f64 (.f64 (.f64 z y) z) x)
(+.f64 x (.f64 (.f64 z y) z))
(.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 y)) (.f64 z z))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) z)
(.f64 (pow.f64 y #s(literal 1 binary64)) (.f64 z z))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 z) z) y))
(.f64 (.f64 z z) (exp.f64 (log.f64 y)))
(.f64 (.f64 z z) (pow.f64 y #s(literal 1 binary64)))
(.f64 (.f64 z z) y)
(.f64 (.f64 z y) z)
(.f64 z (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 z (.f64 z y))
(.f64 y (.f64 z z))
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 z) z) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 z) z) y))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
(*.f64 z y)
(*.f64 y z)

eval63.0ms (0.9%)

Memory: -21.1MiB live, 54.2MiB allocated
Compiler: Compiled 6 386 to 488 computations (92.4% saved)

prune8.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	249	5	254
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	250	5	255

Accuracy

100.0%

Counts

255 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(fma.f64 (*.f64 z z) y x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	34.5%	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
▶	34.2%	(/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)))
▶	44.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 120 to 90 computations (25% saved)

simplify128.0ms (1.7%)

Memory

-21.1MiB live, 59.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (.f64 (.f64 z y) z))
cost-diff	0	(pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64))
cost-diff	5760	(pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)))
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
cost-diff	0	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 (*.f64 z z) y x)
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)

Rules

1 568×	`lower-fma.f32`
1 560×	`lower-fma.f64`
1 250×	`times-frac`
1 096×	`lower-*.f32`
1 082×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	199
0	51	194
1	85	194
2	142	194
3	244	194
4	484	194
5	1336	194
6	3156	194
7	3920	194
8	4065	194
9	4073	194
10	4073	194
11	4201	194
12	4253	194
13	4253	194
14	4253	194
0	4253	194

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (1.2%)

Memory

8.2MiB live, 165.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.3699394791447264	(pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64))
accuracy	2.6329317088432695	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	10.678249945217788	(fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x))
accuracy	35.467561461800585	(/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)))
accuracy	0.1328125	(.f64 (.f64 z y) z)
accuracy	2.6329317088432695	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	9.815003786104286	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
accuracy	36.43311960746892	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
accuracy	0	(*.f64 z z)
accuracy	4.291969799897571	(fma.f64 (*.f64 z z) y x)
accuracy	0	(*.f64 z z)
accuracy	8.22987768178199	(.f64 (.f64 z z) y)
accuracy	32.18664083498455	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0	(*.f64 z y)
accuracy	0.05078125	(fma.f64 (*.f64 z y) z x)

Samples

61.0ms

256×

valid

Compiler

Compiled 202 to 32 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 16.0ms (37% of total)

ival-pow: 13.0ms (30% of total)

ival-add: 6.0ms (13.9% of total)

ival-div: 3.0ms (6.9% of total)

ival-sub: 2.0ms (4.6% of total)

ival-neg: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.9%)

Memory

11.7MiB live, 88.3MiB allocated

Counts

16 → 480

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation:binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation:binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())
#s(alt (pow.f64 z #s(literal 4 binary64)) (patch (pow.f64 z #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation:binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())) ())
#s(alt (pow z 4) (taylor 0 z) (#s(alt (pow.f64 z #s(literal 4 binary64)) (patch (pow.f64 z #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow z 4) (taylor 0 z) (#s(alt (pow.f64 z #s(literal 4 binary64)) (patch (pow.f64 z #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow z 4) (taylor 0 z) (#s(alt (pow.f64 z #s(literal 4 binary64)) (patch (pow.f64 z #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow z 4) (taylor 0 z) (#s(alt (pow.f64 z #s(literal 4 binary64)) (patch (pow.f64 z #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow y 4) (pow z 8)) (pow x 4))) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow y 6) (pow z 12)) (pow x 6))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (* -1 (/ (* (pow y 4) (pow z 8)) (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (* y (pow z 2)) x)) x) (taylor inf x) (#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (* -1 (/ (* y (pow z 2)) x))) x) (taylor inf x) (#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ (* -1 (/ (* y (pow z 2)) x)) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) x) (taylor inf x) (#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z z) y x) (patch (fma.f64 (.f64 z z) y x) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow y 4) (pow z 8)) (pow x 4))) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (* (pow y 6) (pow z 12)) (pow x 6))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (* -1 (/ (* (pow y 4) (pow z 8)) (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (* y (pow z 2)) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* -1 (* y (pow z 2)))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 6)) x)) (* (pow y 2) (pow z 4))) x)) (* -1 (* y (pow z 2)))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y (pow z 2)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) z)) (patch (-.f64 x (.f64 (.f64 z y) z)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (patch (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (/ (pow (- x (* (* z y) z)) -1) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1)) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1) (pow (- x (* (* z y) z)) -1) (- x (* (* z y) z)) (* (* z y) z) (+ (* (neg y) (* (pow z 4) y)) (* x x)))
7.0ms	z	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (/ (pow (- x (* (* z y) z)) -1) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1)) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1) (pow (- x (* (* z y) z)) -1) (- x (* (* z y) z)) (* (* z y) z) (+ (* (neg y) (* (pow z 4) y)) (* x x)))
5.0ms	x	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (/ (pow (- x (* (* z y) z)) -1) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1)) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1) (pow (- x (* (* z y) z)) -1) (- x (* (* z y) z)) (* (* z y) z) (+ (* (neg y) (* (pow z 4) y)) (* x x)))
3.0ms	z	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (/ (pow (- x (* (* z y) z)) -1) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1)) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1) (pow (- x (* (* z y) z)) -1) (- x (* (* z y) z)) (* (* z y) z) (+ (* (neg y) (* (pow z 4) y)) (* x x)))
3.0ms	y	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (/ (pow (- x (* (* z y) z)) -1) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1)) (pow (+ (* (neg y) (* (pow z 4) y)) (* x x)) -1) (pow (- x (* (* z y) z)) -1) (- x (* (* z y) z)) (* (* z y) z) (+ (* (neg y) (* (pow z 4) y)) (* x x)))

simplify216.0ms (2.9%)

Memory

6.9MiB live, 360.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 740×	`lower-fma.f64`
7 740×	`lower-fma.f32`
4 616×	`lower-*.f64`
4 616×	`lower-*.f32`
3 152×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	4814
1	1001	4724
2	3077	4669
0	8222	4495

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 456

Calls

Call 1

Inputs
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(/ 1 (pow x 2))
(+ (/ 1 (pow x 2)) (/ (* (pow y 2) (pow z 4)) (pow x 4)))
(+ (* (pow z 4) (- (/ (* (pow y 4) (pow z 4)) (pow x 6)) (* -1 (/ (pow y 2) (pow x 4))))) (/ 1 (pow x 2)))
(+ (* (pow z 4) (- (* (pow z 4) (- (/ (* (pow y 6) (pow z 4)) (pow x 8)) (* -1 (/ (pow y 4) (pow x 6))))) (* -1 (/ (pow y 2) (pow x 4))))) (/ 1 (pow x 2)))
(/ 1 x)
(+ (/ 1 x) (/ (* y (pow z 2)) (pow x 2)))
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow y 3) (pow z 2)) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))
x
(+ x (* -1 (* y (pow z 2))))
(+ x (* -1 (* y (pow z 2))))
(+ x (* -1 (* y (pow z 2))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(pow x 2)
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(/ -1 (* (pow y 2) (pow z 4)))
(/ (- (* -1 (/ (pow x 2) (* (pow y 4) (pow z 4)))) (/ 1 (pow y 2))) (pow z 4))
(/ (- (* -1 (/ (pow x 4) (* (pow y 6) (pow z 8)))) (+ (/ 1 (pow y 2)) (/ (pow x 2) (* (pow y 4) (pow z 4))))) (pow z 4))
(/ (- (* -1 (/ (pow x 6) (* (pow y 8) (pow z 12)))) (+ (/ 1 (pow y 2)) (+ (/ (pow x 2) (* (pow y 4) (pow z 4))) (/ (pow x 4) (* (pow y 6) (pow z 8)))))) (pow z 4))
(/ -1 (* y (pow z 2)))
(/ (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2))
(* -1 (* y (pow z 2)))
(* (pow z 2) (- (/ x (pow z 2)) y))
(* (pow z 2) (- (/ x (pow z 2)) y))
(* (pow z 2) (- (/ x (pow z 2)) y))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* -1 (* (pow y 2) (pow z 4)))
(* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow x 2) (pow z 4))))
(* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow x 2) (pow z 4))))
(* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow x 2) (pow z 4))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(/ -1 (* (pow y 2) (pow z 4)))
(/ (- (* -1 (/ (pow x 2) (* (pow y 4) (pow z 4)))) (/ 1 (pow y 2))) (pow z 4))
(/ (- (* -1 (/ (pow x 4) (* (pow y 6) (pow z 8)))) (+ (/ 1 (pow y 2)) (/ (pow x 2) (* (pow y 4) (pow z 4))))) (pow z 4))
(/ (- (* -1 (/ (pow x 6) (* (pow y 8) (pow z 12)))) (+ (/ 1 (pow y 2)) (+ (/ (pow x 2) (* (pow y 4) (pow z 4))) (/ (pow x 4) (* (pow y 6) (pow z 8)))))) (pow z 4))
(/ -1 (* y (pow z 2)))
(/ (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2))
(* -1 (* y (pow z 2)))
(* (pow z 2) (- (/ x (pow z 2)) y))
(* (pow z 2) (- (/ x (pow z 2)) y))
(* (pow z 2) (- (/ x (pow z 2)) y))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* -1 (* (pow y 2) (pow z 4)))
(* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow x 2) (pow z 4))))
(* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow x 2) (pow z 4))))
(* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow x 2) (pow z 4))))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(/ 1 (pow x 2))
(+ (/ 1 (pow x 2)) (/ (* (pow y 2) (pow z 4)) (pow x 4)))
(+ (* (pow y 2) (- (/ (* (pow y 2) (pow z 8)) (pow x 6)) (* -1 (/ (pow z 4) (pow x 4))))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (- (/ (* (pow y 2) (pow z 12)) (pow x 8)) (* -1 (/ (pow z 8) (pow x 6))))) (* -1 (/ (pow z 4) (pow x 4))))) (/ 1 (pow x 2)))
(/ 1 x)
(+ (/ 1 x) (/ (* y (pow z 2)) (pow x 2)))
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (* -1 (/ (pow z 2) (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (/ (* y (pow z 6)) (pow x 4)) (* -1 (/ (pow z 4) (pow x 3))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ 1 x))
x
(+ x (* -1 (* y (pow z 2))))
(+ x (* -1 (* y (pow z 2))))
(+ x (* -1 (* y (pow z 2))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(pow x 2)
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(/ -1 (* (pow y 2) (pow z 4)))
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 8)))) (/ 1 (pow z 4))) (pow y 2))
(/ (- (* -1 (/ (pow x 4) (* (pow y 4) (pow z 12)))) (+ (/ 1 (pow z 4)) (/ (pow x 2) (* (pow y 2) (pow z 8))))) (pow y 2))
(/ (- (* -1 (/ (pow x 6) (* (pow y 6) (pow z 16)))) (+ (/ 1 (pow z 4)) (+ (/ (pow x 2) (* (pow y 2) (pow z 8))) (/ (pow x 4) (* (pow y 4) (pow z 12)))))) (pow y 2))
(/ -1 (* y (pow z 2)))
(/ (- (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (+ (/ 1 (pow z 2)) (/ x (* y (pow z 4))))) y)
(/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (+ (/ 1 (pow z 2)) (+ (/ x (* y (pow z 4))) (/ (pow x 2) (* (pow y 2) (pow z 6)))))) y)
(* -1 (* y (pow z 2)))
(* y (- (/ x y) (pow z 2)))
(* y (- (/ x y) (pow z 2)))
(* y (- (/ x y) (pow z 2)))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* -1 (* (pow y 2) (pow z 4)))
(* (pow y 2) (+ (* -1 (pow z 4)) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow z 4)) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow z 4)) (/ (pow x 2) (pow y 2))))
(* y (pow z 2))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (pow z 2))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* y (pow z 2))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* (pow y 2) (pow z 4))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 2))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(/ -1 (* (pow y 2) (pow z 4)))
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 8)))) (/ 1 (pow z 4))) (pow y 2))
(/ (- (* -1 (/ (pow x 4) (* (pow y 4) (pow z 12)))) (+ (/ 1 (pow z 4)) (/ (pow x 2) (* (pow y 2) (pow z 8))))) (pow y 2))
(/ (- (* -1 (/ (pow x 6) (* (pow y 6) (pow z 16)))) (+ (/ 1 (pow z 4)) (+ (/ (pow x 2) (* (pow y 2) (pow z 8))) (/ (pow x 4) (* (pow y 4) (pow z 12)))))) (pow y 2))
(/ -1 (* y (pow z 2)))
(* -1 (/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 4)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 6)))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (* -1 (/ (pow x 2) (pow z 6)))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (* y (pow z 2)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow z 2)))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* -1 (* (pow y 2) (pow z 4)))
(* (pow y 2) (+ (* -1 (pow z 4)) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow z 4)) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow z 4)) (/ (pow x 2) (pow y 2))))
(* y (pow z 2))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* y (pow z 2))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* y (pow z 2))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* y (pow z 2))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* y (pow z 2))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(/ -1 (* (pow y 2) (pow z 4)))
(- (* -1 (/ (pow x 2) (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 2) (pow z 4))))
(- (* (pow x 2) (- (* -1 (/ (pow x 2) (* (pow y 6) (pow z 12)))) (/ 1 (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (* (pow y 8) (pow z 16)))) (/ 1 (* (pow y 6) (pow z 12))))) (/ 1 (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))
(/ -1 (* y (pow z 2)))
(- (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(* -1 (* y (pow z 2)))
(- x (* y (pow z 2)))
(- x (* y (pow z 2)))
(- x (* y (pow z 2)))
(* -1 (* (pow y 2) (pow z 4)))
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 4))) (pow x 2))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(/ 1 (pow x 2))
(/ (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ (* (pow y 4) (pow z 8)) (pow x 4))) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (* (pow y 6) (pow z 12)) (pow x 6))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (* -1 (/ (* (pow y 4) (pow z 8)) (pow x 4))))) (pow x 2))
(/ 1 x)
(/ (+ 1 (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ (* -1 (/ (* y (pow z 2)) x)) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
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(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
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(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(/ 1 (pow x 2))
(/ (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ (* (pow y 4) (pow z 8)) (pow x 4))) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (* (pow y 6) (pow z 12)) (pow x 6))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (* -1 (/ (* (pow y 4) (pow z 8)) (pow x 4))))) (pow x 2))
(/ 1 x)
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* -1 (* y (pow z 2)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 6)) x)) (* (pow y 2) (pow z 4))) x)) (* -1 (* y (pow z 2)))) x)) 1) x))
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(* -1 (* x (- (/ (* y (pow z 2)) x) 1)))
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(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))

Outputs
x
(+ x (* y (pow z 2)))
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(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow y 3) (pow z 2)) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))
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x
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(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) #s(literal 1 binary64))) (.f64 x x))
(/ (- (+ 1 (/ (* (pow y 6) (pow z 12)) (pow x 6))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (* -1 (/ (* (pow y 4) (pow z 8)) (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) (fma.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) #s(literal 1 binary64)))) (.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (* y (pow z 2)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (*.f64 z z) x) y #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* -1 (* y (pow z 2)))) x)) 1) x))
(/.f64 (+.f64 (/.f64 (.f64 y (fma.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (.f64 z z))) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 6)) x)) (* (pow y 2) (pow z 4))) x)) (* -1 (* y (pow z 2)))) x)) 1) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 z y) z (/.f64 (.f64 (*.f64 y y) (fma.f64 y (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 z #s(literal 4 binary64)))) x)) x) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (/ (* y (pow z 2)) x) 1)))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) (neg.f64 y) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ (* y (pow z 2)) x) 1)))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) (neg.f64 y) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ (* y (pow z 2)) x) 1)))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) (neg.f64 y) #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(.f64 (fma.f64 (neg.f64 y) (/.f64 (.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(.f64 (fma.f64 (neg.f64 y) (/.f64 (.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(.f64 (fma.f64 (neg.f64 y) (/.f64 (.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) x) #s(literal 1 binary64)) (*.f64 x x))

rewrite593.0ms (8.1%)

Memory

-59.6MiB live, 531.8MiB allocated

Rules

15 882×	`lower-fma.f32`
15 874×	`lower-fma.f64`
4 674×	`lower-*.f32`
4 660×	`lower-*.f64`
1 574×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	142
0	51	111
1	195	111
2	1252	111
0	9028	99

Stop Event

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

Counts

16 → 1 894

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (/.f64 (hypot.f64 (.f64 (.f64 z z) y) x) (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (*.f64 z z) y) x)))
(.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 1/2 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (.f64 (*.f64 z z) y) x) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 (.f64 z z) y) x) (fma.f64 (.f64 y z) z x))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (.f64 (*.f64 z z) y) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (.f64 z z) y)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (hypot.f64 (.f64 (.f64 z z) y) x) (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (*.f64 z z) y) x)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (.f64 z z) y) x)) (hypot.f64 (.f64 (.f64 z z) y) x)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 (.f64 (*.f64 z z) y) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) y (neg.f64 x))) #s(literal -1 binary64)))
(.f64 (.f64 (hypot.f64 (.f64 (.f64 z z) y) x) (fma.f64 (.f64 y z) z x)) (pow.f64 (hypot.f64 (.f64 (*.f64 z z) y) x) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 z z) y (neg.f64 x))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (.f64 z z) y)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x))))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 1/2 binary64))) (neg.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (.f64 (*.f64 z z) y) x) #s(literal 1/2 binary64)))))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (.f64 (*.f64 z z) y) x) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64))) (hypot.f64 (.f64 (.f64 z z) y) x)))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x))))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)))
(.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 2 binary64)) (.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z z) y (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 (.f64 (.f64 z z) y) x) (fma.f64 (*.f64 z z) y (neg.f64 x)))))
(.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (hypot.f64 (.f64 (*.f64 z z) y) x))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (.f64 z z) y)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z z) y (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (.f64 z z) y)))) (fma.f64 (*.f64 z z) y (neg.f64 x)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (*.f64 z z) y)))))))
(.f64 (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (.f64 z z) y) x)) (.f64 (fma.f64 (.f64 y z) z x) (pow.f64 (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (*.f64 z z) y) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (*.f64 z z) y) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (*.f64 z z) y) x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))
(.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal -1 binary64)) (.f64 (hypot.f64 (.f64 (.f64 z z) y) x) (fma.f64 (*.f64 y z) z x)))
(.f64 (hypot.f64 (.f64 (.f64 z z) y) x) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 y z) z x))
(.f64 (fma.f64 (.f64 y z) z x) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (pow.f64 (fma.f64 (*.f64 z z) y (neg.f64 x)) #s(literal -1 binary64))))
(pow.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x)))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))))) (+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (*.f64 z z) y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))))) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (*.f64 z z) y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (.f64 z z) y) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (*.f64 z z) y (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (*.f64 z z) y (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 z z) y) x (hypot.f64 (.f64 (*.f64 z z) y) x)))
(/.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal 1/2 binary64)))) (pow.f64 (hypot.f64 (.f64 (.f64 z z) y) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 z z) y (neg.f64 x)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (*.f64 z z) y))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 z z) y (neg.f64 x)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (*.f64 z z) y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal 2 binary64)))
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(fma.f64 z (fma.f64 (.f64 y z) x (.f64 z (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (.f64 (neg.f64 x) (fma.f64 (*.f64 y z) z x)))
(fma.f64 z (fma.f64 y (.f64 y (pow.f64 z #s(literal 3 binary64))) (.f64 (.f64 y z) x)) (.f64 (neg.f64 x) (fma.f64 (*.f64 y z) z x)))
(fma.f64 z (neg.f64 (.f64 z (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (*.f64 x x))
(fma.f64 z (neg.f64 (.f64 z (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(fma.f64 z (.f64 z (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 z (.f64 z (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(-.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 x x))
(-.f64 (fma.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 x x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (.f64 z z) y))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 (.f64 z z) y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 x (.f64 (.f64 z z) y))) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (hypot.f64 x (.f64 (.f64 z z) y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (hypot.f64 (.f64 (.f64 z z) y) x)))) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (hypot.f64 (.f64 (.f64 z z) y) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 (.f64 (.f64 z z) y) x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 x x) (hypot.f64 (.f64 (.f64 z z) y) x)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)))
(-.f64 #s(literal 0 binary64) (hypot.f64 (.f64 (.f64 z z) y) x))
(-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (*.f64 x x))
(-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 x x))
(-.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
(hypot.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) x)
(hypot.f64 (.f64 (.f64 (neg.f64 z) z) y) (exp.f64 (log.f64 x)))
(hypot.f64 (.f64 (.f64 (neg.f64 z) z) y) (neg.f64 x))
(hypot.f64 (.f64 (.f64 (neg.f64 z) z) y) x)
(hypot.f64 (.f64 (.f64 z z) y) (exp.f64 (log.f64 x)))
(hypot.f64 (.f64 (.f64 z z) y) (neg.f64 x))
(hypot.f64 (.f64 (.f64 z z) y) x)
(exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 (.f64 (*.f64 z z) y) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (hypot.f64 (.f64 (.f64 z z) y) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)))
(+.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 x x))
(+.f64 (.f64 (fma.f64 (.f64 y z) z x) (.f64 (.f64 z z) y)) (.f64 (fma.f64 (.f64 y z) z x) (neg.f64 x)))
(+.f64 (.f64 (fma.f64 (.f64 y z) z x) (neg.f64 x)) (.f64 (fma.f64 (.f64 y z) z x) (.f64 (.f64 z z) y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64)))) (.f64 x x))
(+.f64 (.f64 (fma.f64 (.f64 y z) z x) (.f64 (.f64 (neg.f64 z) z) y)) (.f64 (fma.f64 (.f64 y z) z x) x))
(+.f64 (.f64 (fma.f64 (.f64 y z) z x) x) (.f64 (fma.f64 (.f64 y z) z x) (.f64 (.f64 (neg.f64 z) z) y)))
(+.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 y z) z x)))
(+.f64 (.f64 (.f64 (.f64 (neg.f64 z) z) y) (fma.f64 (.f64 y z) z x)) (.f64 x (fma.f64 (.f64 y z) z x)))
(+.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 0 binary64)) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 (.f64 (.f64 z z) y) x)))
(+.f64 #s(literal 0 binary64) (hypot.f64 (.f64 (.f64 z z) y) x))
(+.f64 (.f64 x (fma.f64 (.f64 y z) z x)) (.f64 (.f64 (.f64 (neg.f64 z) z) y) (fma.f64 (.f64 y z) z x)))
(+.f64 (.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)))
(+.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (*.f64 x x))
(+.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 x x))
(+.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 x x) (.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (.f64 (neg.f64 z) z) y)) (.f64 (.f64 (neg.f64 z) z) y)))
(+.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) y) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))

eval379.0ms (5.2%)

Memory: 18.1MiB live, 545.9MiB allocated
Compiler: Compiled 64 232 to 3 379 computations (94.7% saved)

prune68.0ms (0.9%)

Memory

-7.6MiB live, 234.4MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	2 503	4	2 507
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	2 505	7	2 512

Accuracy

100.0%

Counts

2 512 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	34.5%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
▶	40.0%	(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (*.f64 z y) z) x))
▶	8.6%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
✓	44.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	49.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 92 to 60 computations (34.8% saved)

simplify288.0ms (3.9%)

Memory

-21.5MiB live, 364.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
cost-diff	8448	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
cost-diff	0	(fma.f64 (*.f64 y z) z x)
cost-diff	0	(.f64 z (fma.f64 (.f64 y z) z x))
cost-diff	0	(*.f64 y z)
cost-diff	8448	(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (*.f64 z y) z) x))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
cost-diff	0	(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
cost-diff	0	#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
cost-diff	0	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Rules

23 734×	`lower-fma.f32`
23 728×	`lower-fma.f64`
3 616×	`lower-*.f32`
3 596×	`lower-*.f64`
2 054×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	282
0	59	308
1	108	271
2	244	256
3	562	223
4	1324	217
5	3035	217
6	6757	217
0	8145	217

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
(.f64 (.f64 y z) z)
(*.f64 y z)
y
z
(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)
x
(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (*.f64 z y) z) x))
(fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (*.f64 y z) z x)))
(*.f64 y z)
y
z
(.f64 z (fma.f64 (.f64 y z) z x))
(fma.f64 (*.f64 y z) z x)
x
(.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))
(neg.f64 x)
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
(.f64 (.f64 z z) (*.f64 z z))
(*.f64 z z)
z
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)

Outputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
(.f64 (.f64 y z) z)
(.f64 (.f64 z y) z)
(*.f64 y z)
(*.f64 z y)
y
z
(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)
x
(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (*.f64 z y) z) x))
(fma.f64 (*.f64 z y) z x)
(fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (*.f64 y z) z x)))
(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
(*.f64 y z)
(*.f64 z y)
y
z
(.f64 z (fma.f64 (.f64 y z) z x))
(.f64 (fma.f64 (.f64 z y) z x) z)
(fma.f64 (*.f64 y z) z x)
(fma.f64 (*.f64 z y) z x)
x
(.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))
(.f64 (neg.f64 x) (fma.f64 (.f64 z y) z x))
(neg.f64 x)
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
(fma.f64 (*.f64 z y) z x)
(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(.f64 (.f64 z z) (*.f64 z z))
(pow.f64 z #s(literal 4 binary64))
(*.f64 z z)
z
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)

localize107.0ms (1.5%)

Memory

15.8MiB live, 133.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 (.f64 z y) z)
accuracy	2.6329317088432695	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
accuracy	9.815003786104286	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
accuracy	36.43311960746892	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
accuracy	0.1328125	(.f64 (.f64 z y) z)
accuracy	1.9350848500177833	(.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))
accuracy	7.0166283803032385	(fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (*.f64 y z) z x)))
accuracy	36.43311960746892	(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (*.f64 z y) z) x))
accuracy	2.6329317088432695	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	4.428188619216217	(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
accuracy	27.983194408814438	#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
accuracy	36.43311960746892	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
accuracy	0	(*.f64 y z)
accuracy	0.1328125	(.f64 (.f64 y z) z)
accuracy	32.18664083498455	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Samples

82.0ms

256×

valid

Compiler

Compiled 273 to 31 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 49.0ms (76% of total)

ival-add: 5.0ms (7.8% of total)

ival-div: 4.0ms (6.2% of total)

ival-pow: 3.0ms (4.7% of total)

ival-sub: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory

-6.8MiB live, 68.5MiB allocated

Counts

17 → 516

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (patch (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #<representation:binary64>) () ())
#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())
#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (.f64 z z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 z z) (.f64 z z)) y) #<representation:binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())
#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation:binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (patch (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (patch (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (patch (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (patch (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* (pow z 2) (- (* -1 (/ (pow y 2) x)) (* -1 (/ (* y (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y))) x))))) (* -1 y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* (pow z 2) (- (+ (* -1 (/ (pow y 2) x)) (/ (* y (* (pow z 2) (- (* -1 (/ (pow y 2) x)) (* -1 (/ (* y (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y))) x))))) x)) (* -1 (/ (* y (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y))) x))))) (* -1 y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ x (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ x (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ x (* y (pow z 2)))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 z z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 z z) (.f64 z z)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 z z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 z z) (.f64 z z)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 z z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 z z) (.f64 z z)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 z z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 z z) (.f64 z z)) y) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (* x y)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (+ (* x y) (* (pow y 2) (pow z 2)))))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (+ (* x y) (* (pow y 2) (pow z 2)))))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* x (* y (pow z 2)))) (* -1 (pow x 2))) (taylor 0 z) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (* z (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (* (* z y) z))
3.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (* z (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (* (* z y) z))
3.0ms	y	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (* z (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (* (* z y) z))
3.0ms	z	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (* z (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (* (* z y) z))
3.0ms	y	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (* z (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (* (* z y) z))

simplify188.0ms (2.6%)

Memory

-7.3MiB live, 265.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 180×	`lower-fma.f64`
13 180×	`lower-fma.f32`
3 338×	`lower-*.f64`
3 338×	`lower-*.f32`
2 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	4597
1	965	4317
2	3450	4207
0	8586	4047

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 496

Calls

Call 1

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

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

rewrite378.0ms (5.1%)

Memory

38.5MiB live, 583.3MiB allocated

Rules

15 250×	`lower-fma.f32`
15 244×	`lower-fma.f64`
4 708×	`lower-*.f32`
4 688×	`lower-*.f64`
4 562×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	209
0	59	217
1	205	148
2	1322	148
0	8833	148

Stop Event

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

Counts

17 → 1 585

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
(.f64 (.f64 y z) z)
(*.f64 y z)
(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (-.f64 (.f64 (*.f64 z y) z) x))
(.f64 z (fma.f64 (.f64 y z) z x))
(fma.f64 (*.f64 y z) z x)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
(*.f64 z z)
(fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (*.f64 y z) z x)))
(.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))
(.f64 (.f64 z y) z)

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

eval468.0ms (6.4%)

Memory: 7.1MiB live, 550.0MiB allocated
Compiler: Compiled 113 952 to 4 231 computations (96.3% saved)

prune175.0ms (2.4%)

Memory

20.9MiB live, 178.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	2 523	3	2 526
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	2 525	8	2 533

Accuracy

100.0%

Counts

2 533 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.3%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
✓	93.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	39.4%	(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x))
✓	8.6%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
▶	10.8%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x))
✓	44.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	49.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 118 to 73 computations (38.1% saved)

simplify343.0ms (4.7%)

Memory

-46.1MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	128	(neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x)))
cost-diff	320	(fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
cost-diff	704	(/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64))
cost-diff	0	(.f64 z (fma.f64 (.f64 y z) z x))
cost-diff	0	(*.f64 y z)
cost-diff	0	(fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x)))
cost-diff	0	(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x))
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	(.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)
cost-diff	0	#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y))
cost-diff	0	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x))

Rules

7 216×	`lower-fma.f32`
7 210×	`lower-fma.f64`
3 480×	`lower-*.f32`
3 460×	`lower-*.f64`
1 624×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	319
0	63	315
1	140	299
2	314	297
3	753	288
4	1802	288
5	3052	288
6	3848	288
7	4342	288
8	4825	288
9	5237	288
10	5268	288
11	5269	288
12	5452	288
13	5492	288
14	5492	288
15	7140	288
0	8007	287

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (2%)

Memory

-13.1MiB live, 107.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 (.f64 z y) z)
accuracy	7.88780348602406	(/.f64 z (-.f64 (.f64 (.f64 z y) z) x))
accuracy	10.701879407037811	(fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
accuracy	25.46084850324596	(/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))
accuracy	0.1328125	(.f64 (.f64 z y) z)
accuracy	7.0166283803032385	(fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x)))
accuracy	26.440364725530728	#s(approx (* (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x))
accuracy	36.43311960746892	(/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x))
accuracy	0.1328125	(.f64 (.f64 z y) z)
accuracy	4.428188619216217	(.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)
accuracy	27.983194408814438	#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y))
accuracy	36.43311960746892	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x))

Samples

100.0ms

256×

valid

Compiler

Compiled 292 to 36 computations (87.7% saved)

Precisions

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

ival-mult: 41.0ms (68.7% of total)

ival-div: 7.0ms (11.7% of total)

ival-add: 4.0ms (6.7% of total)

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

ival-neg: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series85.0ms (1.2%)

Memory

18.8MiB live, 57.1MiB allocated

Counts

14 → 456

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x))) #<representation:binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())
#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (patch (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) (patch (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) #<representation:binary64>) () ())
#s(alt (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) (patch (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) #<representation:binary64>) () ())
#s(alt #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x)) (patch #s(approx ( (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x)) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())
#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 4)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation:binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor inf x) (#s(alt #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x)) (patch #s(approx ( (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x)))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))) x) (taylor inf x) (#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) (pow z 5)) (pow x 2)))) (/ (* y (pow z 3)) x)) x) (taylor inf x) (#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) (pow z 7)) (pow x 3)))) (+ (/ (* y (pow z 3)) x) (/ (* (pow y 2) (pow z 5)) (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx ( (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) #s(approx (* (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x))) #<representation:binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) (patch (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) (patch (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) (patch (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) (patch (fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)))) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) (patch (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) (patch (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x)) x)) 1))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) (patch (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* -1 (/ (* (pow y 3) (pow z 6)) x))) x)) (* y (pow z 2))) x)) 1))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) (patch (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x)) (patch #s(approx ( (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x)) (patch #s(approx ( (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x)) (patch #s(approx ( (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt #s(approx (* (neg x) (+ (* (* y z) z) x)) (.f64 (neg.f64 x) x)) (patch #s(approx ( (neg x) (+ (* (* y z) z) x)) (*.f64 (neg.f64 x) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (* y (pow z 2)) x)))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ z (/ (* y (pow z 3)) x)) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 5)) x)) (* y (pow z 3))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 7)) x) (* -1 (* (pow y 2) (pow z 5)))) x)) (* y (pow z 3))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* y z) (* z (+ (* (* y z) z) x)) (/ (* (* (* z y) z) (* z y)) 1) (+ (* (/ (* (* (* z y) z) (* z y)) 1) (/ z (- (* (* z y) z) x))) (neg (/ (* x x) (- (* (* z y) z) x)))) (neg (/ (* x x) (- (* (* z y) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ (* x x) (- (* (* z y) z) x)) (/ z (- (* (* z y) z) x)))
8.0ms	z	@	-inf	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* y z) (* z (+ (* (* y z) z) x)) (/ (* (* (* z y) z) (* z y)) 1) (+ (* (/ (* (* (* z y) z) (* z y)) 1) (/ z (- (* (* z y) z) x))) (neg (/ (* x x) (- (* (* z y) z) x)))) (neg (/ (* x x) (- (* (* z y) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ (* x x) (- (* (* z y) z) x)) (/ z (- (* (* z y) z) x)))
5.0ms	x	@	0	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* y z) (* z (+ (* (* y z) z) x)) (/ (* (* (* z y) z) (* z y)) 1) (+ (* (/ (* (* (* z y) z) (* z y)) 1) (/ z (- (* (* z y) z) x))) (neg (/ (* x x) (- (* (* z y) z) x)))) (neg (/ (* x x) (- (* (* z y) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ (* x x) (- (* (* z y) z) x)) (/ z (- (* (* z y) z) x)))
4.0ms	y	@	inf	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* y z) (* z (+ (* (* y z) z) x)) (/ (* (* (* z y) z) (* z y)) 1) (+ (* (/ (* (* (* z y) z) (* z y)) 1) (/ z (- (* (* z y) z) x))) (neg (/ (* x x) (- (* (* z y) z) x)))) (neg (/ (* x x) (- (* (* z y) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ (* x x) (- (* (* z y) z) x)) (/ z (- (* (* z y) z) x)))
4.0ms	z	@	inf	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (/ (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (- (* (* z y) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* y z) (* z (+ (* (* y z) z) x)) (/ (* (* (* z y) z) (* z y)) 1) (+ (* (/ (* (* (* z y) z) (* z y)) 1) (/ z (- (* (* z y) z) x))) (neg (/ (* x x) (- (* (* z y) z) x)))) (neg (/ (* x x) (- (* (* z y) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ (* x x) (- (* (* z y) z) x)) (/ z (- (* (* z y) z) x)))

simplify212.0ms (2.9%)

Memory

17.1MiB live, 209.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 288×	`lower-fma.f64`
9 288×	`lower-fma.f32`
4 860×	`lower-*.f64`
4 860×	`lower-*.f32`
2 690×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	707	6077
1	2393	5505
0	8283	5277

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 440

Calls

Call 1

Inputs
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
x
(+ x (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y))))
(+ x (* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* (pow z 2) (- (* -1 (/ (pow y 2) x)) (* -1 (/ (* y (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y))) x))))) (* -1 y))))
(+ x (* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* (pow z 2) (- (+ (* -1 (/ (pow y 2) x)) (/ (* y (* (pow z 2) (- (* -1 (/ (pow y 2) x)) (* -1 (/ (* y (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y))) x))))) x)) (* -1 (/ (* y (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) x)) (* -1 y))) x))))) (* -1 y))))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (* x y))))
(+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (+ (* x y) (* (pow y 2) (pow z 2))))))
(+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (+ (* x y) (* (pow y 2) (pow z 2))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x z)
(* z (+ x (* y (pow z 2))))
(* z (+ x (* y (pow z 2))))
(* z (+ x (* y (pow z 2))))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
x
(- (* y (pow z 2)) (* -1 x))
(- (* (pow z 2) (+ y (* (pow z 2) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))))) (* -1 x))
(- (* (pow z 2) (+ y (* (pow z 2) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))))) (* -1 x))
x
(- (* y (pow z 2)) (* -1 x))
(- (* (pow z 2) (+ y (/ (* (pow y 2) (pow z 2)) x))) (* -1 x))
(- (* (pow z 2) (+ y (* (pow z 2) (+ (/ (* (pow y 3) (pow z 2)) (pow x 2)) (/ (pow y 2) x))))) (* -1 x))
(* -1 (pow x 2))
(+ (* -1 (* x (* y (pow z 2)))) (* -1 (pow x 2)))
(+ (* -1 (* x (* y (pow z 2)))) (* -1 (pow x 2)))
(+ (* -1 (* x (* y (pow z 2)))) (* -1 (pow x 2)))
(* -1 x)
(+ (* -1 x) (* -1 (* y (pow z 2))))
(+ (* -1 x) (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) x)) y)))
(+ (* -1 x) (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (/ (pow y 2) x))) y)))
(* -1 (/ z x))
(* z (- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)))
(* z (- (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 3))) (/ y (pow x 2)))) (/ 1 x)))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (/ (pow y 2) (pow x 3)))) (/ y (pow x 2)))) (/ 1 x)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (/ (* x y) (pow z 2)) (pow y 2))))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (+ (/ (* x y) (pow z 2)) (pow y 2)))))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (+ (/ (* x y) (pow z 2)) (pow y 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (pow z 3))
(* (pow z 3) (+ y (/ x (pow z 2))))
(* (pow z 3) (+ y (/ x (pow z 2))))
(* (pow z 3) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 4)))) (* -1 (/ x (pow z 2)))))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 4)))) (* -1 (/ x (pow z 2)))))
(* -1 (/ (pow x 2) (* y (pow z 2))))
(/ (- (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (/ (pow x 2) y)) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4))))) (/ (pow x 2) y)) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 6)))))) (/ (pow x 2) y)) (pow z 2))
(* -1 (* x (* y (pow z 2))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (pow x 2) (pow z 2)))))
(/ (pow x 2) (* y (pow z 2)))
(/ (+ (/ (pow x 2) y) (/ (pow x 3) (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 5) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))))) (pow z 2))
(/ 1 (* y z))
(/ (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2)))) z)
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (* -1 (/ x (* (pow y 2) (pow z 2))))) z)
(/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))))) z)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (/ (* x y) (pow z 2)) (pow y 2))))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (+ (/ (* x y) (pow z 2)) (pow y 2)))))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (+ (/ (* x y) (pow z 2)) (pow y 2)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (pow z 3))
(* -1 (* (pow z 3) (+ (* -1 y) (* -1 (/ x (pow z 2))))))
(* -1 (* (pow z 3) (+ (* -1 y) (* -1 (/ x (pow z 2))))))
(* -1 (* (pow z 3) (+ (* -1 y) (* -1 (/ x (pow z 2))))))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 4)))) (* -1 (/ x (pow z 2)))))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 4)))) (* -1 (/ x (pow z 2)))))
(* -1 (/ (pow x 2) (* y (pow z 2))))
(/ (- (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (/ (pow x 2) y)) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4))))) (/ (pow x 2) y)) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 6)))))) (/ (pow x 2) y)) (pow z 2))
(* -1 (* x (* y (pow z 2))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (pow x 2) (pow z 2)))))
(/ (pow x 2) (* y (pow z 2)))
(/ (+ (/ (pow x 2) y) (/ (pow x 3) (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 5) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))))) (pow z 2))
(/ 1 (* y z))
(* -1 (/ (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2))))) z))
(* -1 (/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 3) (pow z 4)))))) z))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
x
(+ x (* y (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) x)) (* -1 (pow z 2)))))
(+ x (* y (- (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) x)) (* y (- (* -1 (/ (pow z 4) x)) (* -1 (/ (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) x)) (* -1 (pow z 2)))) x))))) (* -1 (pow z 2)))))
(+ x (* y (- (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) x)) (* y (- (+ (* -1 (/ (pow z 4) x)) (/ (* y (* (pow z 2) (- (* -1 (/ (pow z 4) x)) (* -1 (/ (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) x)) (* -1 (pow z 2)))) x))))) x)) (* -1 (/ (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) x)) (* -1 (pow z 2)))) x))))) (* -1 (pow z 2)))))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2)))))
(+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (pow z 2))) (+ (* x (pow z 2)) (* y (pow z 4))))))
(+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (pow z 2))) (+ (* x (pow z 2)) (* y (pow z 4))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x z)
(+ (* x z) (* y (pow z 3)))
(+ (* x z) (* y (pow z 3)))
(+ (* x z) (* y (pow z 3)))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
x
(- (* y (pow z 2)) (* -1 x))
(- (* y (+ (* y (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x))) (pow z 2))) (* -1 x))
(- (* y (+ (* y (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x))) (pow z 2))) (* -1 x))
x
(- (* y (pow z 2)) (* -1 x))
(- (* y (+ (/ (* y (pow z 4)) x) (pow z 2))) (* -1 x))
(- (* y (+ (* y (+ (/ (* y (pow z 6)) (pow x 2)) (/ (pow z 4) x))) (pow z 2))) (* -1 x))
(* -1 (pow x 2))
(+ (* -1 (* x (* y (pow z 2)))) (* -1 (pow x 2)))
(+ (* -1 (* x (* y (pow z 2)))) (* -1 (pow x 2)))
(+ (* -1 (* x (* y (pow z 2)))) (* -1 (pow x 2)))
(* -1 x)
(+ (* -1 x) (* -1 (* y (pow z 2))))
(+ (* -1 x) (* y (- (* -1 (/ (* y (pow z 4)) x)) (pow z 2))))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 2))) (/ (pow z 4) x))) (pow z 2))))
(* -1 (/ z x))
(+ (* -1 (/ z x)) (* -1 (/ (* y (pow z 3)) (pow x 2))))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y (pow z 5)) (pow x 3))) (/ (pow z 3) (pow x 2)))))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y (pow z 7)) (pow x 4))) (/ (pow z 5) (pow x 3)))) (/ (pow z 3) (pow x 2)))))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (/ (* x (pow z 2)) y) (pow z 4))))
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (* x (pow z 2)) y) (pow z 4)))))
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (* x (pow z 2)) y) (pow z 4)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (pow z 3))
(* y (+ (/ (* x z) y) (pow z 3)))
(* y (+ (/ (* x z) y) (pow z 3)))
(* y (+ (/ (* x z) y) (pow z 3)))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))) (pow y 2))) (pow z 2)) (* -1 (/ x y))))
(* y (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))) (pow y 2))) (pow z 2)) (* -1 (/ x y))))
(* -1 (/ (pow x 2) (* y (pow z 2))))
(/ (- (* -1 (/ (pow x 3) (* y (pow z 4)))) (/ (pow x 2) (pow z 2))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6))))) (/ (pow x 2) (pow z 2))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (+ (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6)))) (* -1 (/ (pow x 5) (* (pow y 3) (pow z 8)))))) (/ (pow x 2) (pow z 2))) y)
(* -1 (* x (* y (pow z 2))))
(* y (+ (* -1 (* x (pow z 2))) (* -1 (/ (pow x 2) y))))
(* y (+ (* -1 (* x (pow z 2))) (* -1 (/ (pow x 2) y))))
(* y (+ (* -1 (* x (pow z 2))) (* -1 (/ (pow x 2) y))))
(/ (pow x 2) (* y (pow z 2)))
(/ (+ (/ (pow x 2) (pow z 2)) (/ (pow x 3) (* y (pow z 4)))) y)
(/ (- (+ (/ (pow x 2) (pow z 2)) (/ (pow x 4) (* (pow y 2) (pow z 6)))) (* -1 (/ (pow x 3) (* y (pow z 4))))) y)
(/ (- (+ (/ (pow x 2) (pow z 2)) (/ (pow x 5) (* (pow y 3) (pow z 8)))) (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6)))))) y)
(/ 1 (* y z))
(/ (+ (/ 1 z) (/ x (* y (pow z 3)))) y)
(/ (- (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 5)))) (* -1 (/ x (* y (pow z 3))))) y)
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Outputs
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(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x) x)
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)) 1))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) #s(literal 0 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) #s(literal 0 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y z) x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y z) x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y z) x)
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x)) x)) 1)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) y (*.f64 z z)) y)) x)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* -1 (/ (* (pow y 3) (pow z 6)) x))) x)) (* y (pow z 2))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (.f64 z y) z (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) x)) (neg.f64 x)) (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ (* y (pow z 2)) x))))
(.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) y (*.f64 z z)) y)) x)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (.f64 z y) z (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) x)) x) x x))
(* -1 (/ z x))
(/.f64 z (neg.f64 x))
(* -1 (/ (+ z (/ (* y (pow z 3)) x)) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y z)) x)
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 5)) x)) (* y (pow z 3))) x))) x))
(/.f64 (-.f64 z (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (.f64 y y) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) (neg.f64 x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 7)) x) (* -1 (* (pow y 2) (pow z 5)))) x)) (* y (pow z 3))) x))) x))
(/.f64 (-.f64 z (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) y (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) x) (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) y) y)) (neg.f64 x))) x)) (neg.f64 x))

rewrite526.0ms (7.2%)

Memory

-16.7MiB live, 430.4MiB allocated

Rules

6 548×	`lower-fma.f32`
6 542×	`lower-fma.f64`
6 492×	`lower-*.f32`
6 472×	`lower-*.f64`
5 928×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	233
0	63	229
1	241	188
2	1715	188
0	9887	188

Stop Event

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

Counts

14 → 1 233

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (-.f64 (hypot.f64 (.f64 (.f64 y z) z) x) (.f64 (.f64 (*.f64 y z) z) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (fma.f64 (neg.f64 x) x (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)))) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (fma.f64 (neg.f64 x) x (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z z) y x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (fma.f64 (neg.f64 x) x (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) (fma.f64 (*.f64 z z) y x))
(.f64 (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 (.f64 z z) y x) x (.f64 (*.f64 y (pow.f64 z #s(literal 4 binary64))) y)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (.f64 z z) y x) x (.f64 (*.f64 y (pow.f64 z #s(literal 4 binary64))) y)))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)) #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)))
(.f64 (neg.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) (pow.f64 (neg.f64 (-.f64 (.f64 (.f64 y z) z) x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (-.f64 (.f64 (.f64 y z) z) x)))
(.f64 (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (-.f64 (.f64 (.f64 y z) z) x)) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y z) z) x)))))
(/.f64 (.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y z) z) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))))
(/.f64 (neg.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))))
(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (-.f64 (.f64 (.f64 y z) z) x))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))) (-.f64 (.f64 (.f64 y z) z) x)))
(neg.f64 (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))) (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)))) #s(literal -1 binary64)))
#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) z))) (/.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (.f64 y z) z) y) (*.f64 z z))
(.f64 (.f64 y (.f64 (.f64 y z) z)) (*.f64 z z))
(.f64 (.f64 y (*.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (*.f64 z z))
(.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)))
(.f64 (.f64 y (pow.f64 z #s(literal 3 binary64))) (*.f64 y z))
(.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) z) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) z) (/.f64 z #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) z) (.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) z) z)
(.f64 (.f64 z z) (.f64 (.f64 (*.f64 y z) z) y))
(.f64 (.f64 z z) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 y z) z) (.f64 (*.f64 y z) z))
(.f64 (.f64 y z) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))
(.f64 (.f64 y z) (*.f64 y (pow.f64 z #s(literal 3 binary64))))
(.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)
(.f64 y (.f64 y (pow.f64 z #s(literal 4 binary64))))
(.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y y))
(.f64 z (.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) z))
(pow.f64 (.f64 (.f64 y z) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))) y) z)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) z)) (neg.f64 (pow.f64 (.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))) y) z) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) z) (pow.f64 (.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) z) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y z) z)) #s(literal 2 binary64)))
(.f64 (.f64 z z) y)
(.f64 (.f64 y z) z)
(.f64 y (.f64 z z))
(.f64 z (.f64 y z))
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(.f64 (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)) x) #s(literal 1 binary64))
(.f64 (.f64 x x) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y z) z) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y z) z) x))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y z) z) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (*.f64 y z) z) x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
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(neg.f64 (.f64 (neg.f64 x) (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))) (.f64 (neg.f64 x) (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (.f64 (.f64 y z) z) x) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 z (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (-.f64 (hypot.f64 (.f64 (.f64 y z) z) x) (.f64 (.f64 (.f64 y z) z) x)) #s(literal -1 binary64)))
(.f64 (/.f64 z (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)) (fma.f64 (neg.f64 x) x (.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) y)))) (pow.f64 (-.f64 (.f64 (*.f64 y z) z) x) #s(literal -1 binary64)))
(.f64 (/.f64 z #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 (*.f64 y z) z) x) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) z) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y z) z) x)))))
(/.f64 (neg.f64 (.f64 z #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 y z) z) x)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))))
(/.f64 (.f64 z #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 y z) z) x))
(/.f64 (neg.f64 z) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) z) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 y z) z) x) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 y z) z) x) z))
(/.f64 z (-.f64 (.f64 (.f64 y z) z) x))
(neg.f64 (/.f64 (neg.f64 z) (-.f64 (.f64 (.f64 y z) z) x)))
(neg.f64 (/.f64 z (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))) (/.f64 z (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))))
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eval469.0ms (6.4%)

Memory: 23.5MiB live, 397.2MiB allocated
Compiler: Compiled 76 952 to 4 379 computations (94.3% saved)

prune90.0ms (1.2%)

Memory

-9.5MiB live, 120.4MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 845	3	1 848
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	1 847	9	1 856

Accuracy

100.0%

Counts

1 856 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 #s(approx (/ (* x x) (- (* (* z y) z) x)) (neg.f64 x))))
	43.3%	(fma.f64 (.f64 (.f64 (.f64 (.f64 y z) z) y) z) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
✓	93.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	8.6%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
✓	10.8%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x))
	92.6%	#s(approx (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x)))
✓	44.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	49.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 417 to 153 computations (63.3% saved)

regimes58.0ms (0.8%)

Memory

12.4MiB live, 50.7MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	(+.f64 x (.f64 (.f64 y z) z))
5.0ms	x
5.0ms	y
5.0ms	z
5.0ms	(.f64 (.f64 y z) z)

Results

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

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes19.0ms (0.3%)

Memory

-19.7MiB live, 21.0MiB allocated

Accuracy

Total -3.6b remaining (-11.2%)

Threshold costs -3.6b (-11.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(.f64 (.f64 y z) z)
1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (.f64 (.f64 y z) z))

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`y`
49.6%	1	`z`
49.6%	1	`(+.f64 x (.f64 (.f64 y z) z))`
49.6%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify35.0ms (0.5%)

Memory

19.7MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	13	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness477.0ms (6.5%)

Memory

-23.5MiB live, 371.2MiB allocated

Rules

15 882×	`lower-fma.f32`
15 874×	`lower-fma.f64`
13 740×	`lower-fma.f64`
13 740×	`lower-fma.f32`
4 866×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	142
0	51	111
1	195	111
2	1252	111
0	9028	99
0	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	14
0	28	410
1	87	410
2	237	410
3	702	410
4	2129	410
5	4262	410
6	6911	410
0	8031	383

Stop Event

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

preprocess59.0ms (0.8%)

Memory: 13.5MiB live, 111.2MiB allocated
Remove: (abs z)
Compiler: Compiled 62 to 46 computations (25.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample763.0ms (10.4%)

explain177.0ms (2.4%)

preprocess78.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize15.0ms (0.2%)

series56.0ms (0.8%)

simplify192.0ms (2.6%)

rewrite280.0ms (3.8%)

eval63.0ms (0.9%)

prune8.0ms (0.1%)

simplify128.0ms (1.7%)

localize86.0ms (1.2%)

series65.0ms (0.9%)

simplify216.0ms (2.9%)

rewrite593.0ms (8.1%)

eval379.0ms (5.2%)

prune68.0ms (0.9%)

simplify288.0ms (3.9%)

localize107.0ms (1.5%)

series52.0ms (0.7%)

simplify188.0ms (2.6%)

rewrite378.0ms (5.1%)

eval468.0ms (6.4%)

prune175.0ms (2.4%)

simplify343.0ms (4.7%)

localize150.0ms (2%)

series85.0ms (1.2%)

simplify212.0ms (2.9%)

rewrite526.0ms (7.2%)

eval469.0ms (6.4%)

prune90.0ms (1.2%)

regimes58.0ms (0.8%)

regimes19.0ms (0.3%)

simplify35.0ms (0.5%)

soundness477.0ms (6.5%)

preprocess59.0ms (0.8%)

end0.0ms (0%)

Profiling