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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample960.0ms (16.6%)

Memory

16.5MiB live, 752.8MiB allocated

Samples

684.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-mult: 224.0ms (74.9% of total)

ival-add: 67.0ms (22.4% of total)

ival-true: 5.0ms (1.7% of total)

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

Bogosity

explain112.0ms (1.9%)

Memory

-17.3MiB live, 112.8MiB 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

41.0ms

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 (71.6% of total)

ival-add: 2.0ms (20.4% of total)

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

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

preprocess31.0ms (0.5%)

Memory

9.4MiB live, 44.8MiB 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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 (0.1%)

Memory

13.0MiB live, 13.0MiB 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

localize28.0ms (0.5%)

Memory

-22.6MiB live, 50.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0	(*.f64 y z)
accuracy	0.12109375	(.f64 (.f64 y z) z)

Samples

22.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 5.0ms (78% of total)

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

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

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

series8.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB 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
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))
1.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))

simplify89.0ms (1.5%)

Memory

7.4MiB live, 170.8MiB 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)

rewrite234.0ms (4.1%)

Memory

-24.4MiB live, 346.6MiB 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 → 172

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

eval33.0ms (0.6%)

Memory: 3.3MiB live, 83.8MiB allocated
Compiler: Compiled 6 489 to 492 computations (92.4% saved)

prune9.0ms (0.2%)

Memory

-3.9MiB live, 35.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	247	5	252
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	5	253

Accuracy

100.0%

Counts

253 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.4%	(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)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
▶	40.5%	(.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))))
▶	43.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 120 to 82 computations (31.7% saved)

simplify110.0ms (1.9%)

Memory

17.0MiB live, 175.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	2240	(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)
cost-diff	5824	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
cost-diff	0	(pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	192	(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
cost-diff	8768	(.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))))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
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

8 420×	`lower-fma.f32`
8 414×	`lower-fma.f64`
3 176×	`lower-*.f32`
3 164×	`lower-*.f64`
1 512×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	175
0	43	143
1	70	142
2	133	142
3	316	142
4	960	142
5	1736	142
6	5011	142
7	7270	142
0	8166	142

Stop Event

1×	iter limit
1×	node limit
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
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
z
y
x
#s(literal -1 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))))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
#s(literal -1 binary64)
(*.f64 x x)
x
(pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))
(.f64 (.f64 z y) z)
(*.f64 z y)
z
y
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
(-.f64 x (.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)
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
(.f64 (.f64 z y) z)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
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
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
(fma.f64 (*.f64 y z) z x)
#s(literal 1 binary64)
(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 y z) z x)
(*.f64 z y)
(*.f64 y z)
z
y
x
#s(literal -1 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))))
(fma.f64 (*.f64 y z) z x)
(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))
#s(literal -1 binary64)
(*.f64 x x)
x
(pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))
(.f64 (.f64 z y) z)
(.f64 (.f64 z z) y)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z z) y)))
(-.f64 x (.f64 (.f64 z y) z))
(-.f64 x (.f64 (.f64 z z) y))
(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 (*.f64 y z) z x)
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 z z) y))
(.f64 (.f64 z y) z)
(.f64 (.f64 z z) y)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/2 binary64)
x

localize119.0ms (2.1%)

Memory

-16.6MiB live, 140.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.06478500976844201	(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)
accuracy	0.0703125	(.f64 (.f64 z y) z)
accuracy	11.686751117051363	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
accuracy	0.0703125	(.f64 (.f64 z y) z)
accuracy	0.18667280154956667	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	2.7890625000000004	(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
accuracy	17.95069477250141	(.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))))
accuracy	0	(*.f64 z y)
accuracy	0.03515625	(fma.f64 (*.f64 z y) z x)
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
accuracy	0.18276655154956667	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
accuracy	0	(*.f64 z z)
accuracy	3.1038781832214433	(.f64 (.f64 z z) y)
accuracy	16.583523241872477	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0	(*.f64 z y)
accuracy	0.03515625	(fma.f64 (*.f64 z y) z x)

Samples

73.0ms	127×	0	valid
28.0ms	129×	0	invalid

Compiler

Compiled 178 to 29 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 22.0ms (55.1% of total)

ival-add: 4.0ms (10% of total)

ival-pow: 4.0ms (10% of total)

ival-div: 3.0ms (7.5% of total)

ival-sqrt: 2.0ms (5% of total)

ival-pow2: 2.0ms (5% of total)

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series82.0ms (1.4%)

Memory

-26.7MiB live, 146.1MiB allocated

Counts

15 → 432

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	z	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
5.0ms	x	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
4.0ms	y	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
3.0ms	z	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
3.0ms	y	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))

simplify164.0ms (2.8%)

Memory

34.0MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 274×	`lower-fma.f64`
12 274×	`lower-fma.f32`
4 942×	`lower-*.f64`
4 942×	`lower-*.f32`
2 354×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	4066
1	941	3994
2	2849	3874
0	8265	3732

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 412

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

rewrite345.0ms (6%)

Memory

-2.7MiB live, 432.2MiB allocated

Rules

13 578×	`lower-fma.f32`
13 572×	`lower-fma.f64`
5 488×	`lower-*.f32`
5 476×	`lower-*.f64`
2 456×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	129
0	43	97
1	172	96
2	1044	92
0	9539	92

Stop Event

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

Counts

15 → 1 965

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

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

eval777.0ms (13.5%)

Memory: -8.7MiB live, 882.3MiB allocated
Compiler: Compiled 80 626 to 4 095 computations (94.9% saved)

prune92.0ms (1.6%)

Memory

21.6MiB live, 255.3MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	3 305	5	3 310
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	3 308	7	3 315

Accuracy

100.0%

Counts

3 315 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	47.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)))
▶	85.5%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (.f64 x y) z) (/.f64 z x) x))
▶	47.9%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (.f64 (.f64 z y) z))
▶	23.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓	43.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	23.8%	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 (.f64 z y)) z)))

Compiler

Compiled 110 to 87 computations (20.9% saved)

simplify129.0ms (2.2%)

Memory

-73.7MiB live, 134.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) z)
cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)
cost-diff	0	#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 (.f64 z y)) z)))
cost-diff	1920	(.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 (.f64 z y)) z))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 z (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
cost-diff	1600	(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (.f64 (.f64 z y) z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (.f64 x y) z) (/.f64 z x) x))
cost-diff	1024	(fma.f64 (.f64 (.f64 x y) z) (/.f64 z x) x)

Rules

8 930×	`lower-*.f32`
8 914×	`lower-*.f64`
2 954×	`unswap-sqr`
2 256×	`associate-/r/`
2 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	206
0	51	194
1	85	178
2	125	178
3	253	178
4	493	172
5	1024	172
6	1772	172
7	2841	172
8	2895	172
9	2960	172
10	3728	172
11	3768	172
12	4525	172
13	5322	172
14	5805	172
15	5977	172
0	8137	164

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (1.2%)

Memory

34.8MiB live, 111.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)
accuracy	0.078125	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z)))
accuracy	0.12109375	(/.f64 (/.f64 #s(literal 1 binary64) y) z)
accuracy	16.66335378035511	#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z))
accuracy	0.06640625	(.f64 (sqrt.f64 (.f64 z y)) z)
accuracy	0.0859375	(.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 (.f64 z y)) z))
accuracy	7.523668613726864	(sqrt.f64 (*.f64 z y))
accuracy	16.583523241872477	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 (.f64 z y)) z)))
accuracy	0	(sqrt.f64 y)
accuracy	0.1015625	(*.f64 z (sqrt.f64 y))
accuracy	0.12566376953688405	(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
accuracy	16.583523241872477	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
accuracy	0	(*.f64 z y)
accuracy	0.0703125	(.f64 (.f64 z y) z)
accuracy	16.583523241872477	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (.f64 (.f64 z y) z))
accuracy	0	(*.f64 x y)
accuracy	0	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (.f64 x y) z) (/.f64 z x) x))
accuracy	1.6944154820578134	(.f64 (.f64 x y) z)
accuracy	2.83846564747498	(fma.f64 (.f64 (.f64 x y) z) (/.f64 z x) x)

Samples

26.0ms	127×	0	valid
25.0ms	129×	0	invalid

Compiler

Compiled 154 to 29 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 15.0ms (42.3% of total)

ival-div: 9.0ms (25.4% of total)

ival-sqrt: 4.0ms (11.3% of total)

ival-pow: 4.0ms (11.3% of total)

ival-add: 3.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.7%)

Memory

-15.0MiB live, 68.0MiB allocated

Counts

19 → 540

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((+ (* (* (* x y) z) (/ z x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* x y) z) (* x y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (* (sqrt (* z y)) (* (sqrt (* z y)) z)) (+ x (* (* y z) z)) (sqrt (* z y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (/ (/ 1 y) z) z) (/ (/ 1 y) z) (* (sqrt (* z y)) z))
4.0ms	z	@	-inf	((+ (* (* (* x y) z) (/ z x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* x y) z) (* x y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (* (sqrt (* z y)) (* (sqrt (* z y)) z)) (+ x (* (* y z) z)) (sqrt (* z y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (/ (/ 1 y) z) z) (/ (/ 1 y) z) (* (sqrt (* z y)) z))
3.0ms	y	@	inf	((+ (* (* (* x y) z) (/ z x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* x y) z) (* x y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (* (sqrt (* z y)) (* (sqrt (* z y)) z)) (+ x (* (* y z) z)) (sqrt (* z y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (/ (/ 1 y) z) z) (/ (/ 1 y) z) (* (sqrt (* z y)) z))
3.0ms	x	@	-inf	((+ (* (* (* x y) z) (/ z x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* x y) z) (* x y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (* (sqrt (* z y)) (* (sqrt (* z y)) z)) (+ x (* (* y z) z)) (sqrt (* z y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (/ (/ 1 y) z) z) (/ (/ 1 y) z) (* (sqrt (* z y)) z))
3.0ms	y	@	0	((+ (* (* (* x y) z) (/ z x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* x y) z) (* x y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (* (sqrt (* z y)) (* (sqrt (* z y)) z)) (+ x (* (* y z) z)) (sqrt (* z y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (/ (/ 1 y) z) z) (/ (/ 1 y) z) (* (sqrt (* z y)) z))

simplify160.0ms (2.8%)

Memory

12.5MiB live, 204.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 016×	`lower-fma.f64`
11 016×	`lower-fma.f32`
5 718×	`lower-*.f64`
5 718×	`lower-*.f32`
3 520×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	3792
1	622	3764
2	1904	3696
3	7121	3694
0	8369	3558

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 516

Calls

Call 1

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

rewrite237.0ms (4.1%)

Memory

-33.3MiB live, 255.4MiB allocated

Rules

9 630×	`lower-fma.f32`
9 628×	`lower-fma.f64`
6 492×	`lower-*.f32`
6 476×	`lower-*.f64`
3 082×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	51	165
1	176	157
2	905	151
0	8202	145

Stop Event

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

Counts

19 → 608

Calls

Call 1

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

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

eval278.0ms (4.8%)

Memory: 16.5MiB live, 240.9MiB allocated
Compiler: Compiled 17 813 to 2 248 computations (87.4% saved)

prune135.0ms (2.3%)

Memory

-8.5MiB live, 114.7MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 369	3	1 372
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	1 372	7	1 379

Accuracy

100.0%

Counts

1 379 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	84.3%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (/.f64 z x) z) (.f64 y x) x))
✓	85.5%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (.f64 x y) z) (/.f64 z x) x))
▶	43.4%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y)))
▶	47.8%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (/.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) z)))
✓	47.9%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (.f64 (.f64 z y) z))
✓	43.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 58 to 51 computations (12.1% saved)

simplify79.0ms (1.4%)

Memory

33.4MiB live, 71.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z x)
cost-diff	0	(*.f64 (/.f64 z x) z)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (/.f64 z x) z) (.f64 y x) x))
cost-diff	1024	(fma.f64 (.f64 (/.f64 z x) z) (.f64 y x) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y)))
cost-diff	1216	(/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (/.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) z)))
cost-diff	1216	(/.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) z))

Rules

2 378×	`lower-*.f32`
2 370×	`lower-*.f64`
2 072×	`lower-fma.f32`
2 070×	`lower-fma.f64`
1 956×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
0	36	126
1	67	114
2	150	110
3	342	102
4	514	96
5	1634	96
6	3757	96
7	6541	96
8	7654	96
0	8014	91

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.7%)

Memory

-14.1MiB live, 105.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (/.f64 z x) z) (.f64 y x) x))
accuracy	0.1484375	(*.f64 (/.f64 z x) z)
accuracy	9.888808535264902	(fma.f64 (.f64 (/.f64 z x) z) (.f64 y x) x)
accuracy	0	(*.f64 (neg.f64 z) z)
accuracy	0	(neg.f64 z)
accuracy	6.4037098662156815	(/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y))
accuracy	33.30024686642066	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	0.15625	(/.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) z))
accuracy	33.30024686642066	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (/.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) z)))

Samples

87.0ms

256×

valid

Compiler

Compiled 100 to 24 computations (76% saved)

Precisions

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

ival-mult: 11.0ms (25.7% of total)

ival-pow: 11.0ms (25.7% of total)

ival-add: 10.0ms (23.4% of total)

ival-div: 9.0ms (21% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.7%)

Memory

19.9MiB live, 57.3MiB allocated

Counts

12 → 312

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	((/ (* (neg z) y) (/ -1 z)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) y) (neg z) (/ (* (neg z) z) (/ -1 y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) z) (+ (* (* (/ z x) z) (* y x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (/ z x) z) (/ z x) (* y x))
2.0ms	z	@	inf	((/ (* (neg z) y) (/ -1 z)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) y) (neg z) (/ (* (neg z) z) (/ -1 y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) z) (+ (* (* (/ z x) z) (* y x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (/ z x) z) (/ z x) (* y x))
2.0ms	z	@	-inf	((/ (* (neg z) y) (/ -1 z)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) y) (neg z) (/ (* (neg z) z) (/ -1 y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) z) (+ (* (* (/ z x) z) (* y x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (/ z x) z) (/ z x) (* y x))
1.0ms	z	@	0	((/ (* (neg z) y) (/ -1 z)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) y) (neg z) (/ (* (neg z) z) (/ -1 y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) z) (+ (* (* (/ z x) z) (* y x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (/ z x) z) (/ z x) (* y x))
1.0ms	x	@	-inf	((/ (* (neg z) y) (/ -1 z)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) y) (neg z) (/ (* (neg z) z) (/ -1 y)) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (neg z) z) (+ (* (* (/ z x) z) (* y x)) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (* (/ z x) z) (/ z x) (* y x))

simplify152.0ms (2.6%)

Memory

-31.0MiB live, 64.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 204×	`lower-fma.f64`
4 204×	`lower-fma.f32`
3 132×	`lower-*.f64`
3 132×	`lower-*.f32`
1 434×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	1544
1	97	1544
2	244	1544
3	675	1544
4	2019	1544
5	4173	1544
6	6844	1544
0	8054	1436

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 296

Calls

Call 1

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

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

rewrite207.0ms (3.6%)

Memory

23.7MiB live, 96.7MiB allocated

Rules

7 764×	`lower-fma.f32`
7 762×	`lower-fma.f64`
5 434×	`lower-*.f32`
5 426×	`lower-*.f64`
3 080×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	109
0	36	103
1	138	85
2	774	85
0	8688	82

Stop Event

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

Counts

12 → 366

Calls

Call 1

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

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

eval139.0ms (2.4%)

Memory: -0.6MiB live, 82.0MiB allocated
Compiler: Compiled 9 459 to 1 198 computations (87.3% saved)

prune80.0ms (1.4%)

Memory

-7.4MiB live, 65.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	701	0	701
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	701	7	708

Accuracy

100.0%

Counts

708 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	84.3%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (/.f64 z x) z) (.f64 y x) x))
✓	85.5%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (fma.f64 (.f64 (.f64 x y) z) (/.f64 z x) x))
✓	43.4%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y)))
✓	47.8%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (/.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) z)))
✓	47.9%	#s(approx (/ 1 (pow (+ (* (* z y) z) x) -1)) (.f64 (.f64 z y) z))
✓	43.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 203 to 109 computations (46.3% saved)

regimes43.0ms (0.8%)

Memory

-24.3MiB live, 26.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	z
5.0ms	y
5.0ms	x
4.0ms	(+.f64 x (.f64 (.f64 y z) z))
4.0ms	(.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)

regimes8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
2.0ms	z
2.0ms	y
1.0ms	(+.f64 x (.f64 (.f64 y z) z))
1.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
47.9%	1	`x`
47.9%	1	`y`
47.9%	1	`z`
47.9%	1	`(+.f64 x (.f64 (.f64 y z) z))`
47.9%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
43.4%	1	`z`
43.4%	1	`x`
43.4%	1	`y`
43.4%	1	`(+.f64 x (.f64 (.f64 y z) z))`
43.4%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify36.0ms (0.6%)

Memory

3.2MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	26	36

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness591.0ms (10.2%)

Memory

-19.1MiB live, 257.9MiB allocated

Rules

13 740×	`lower-fma.f64`
13 740×	`lower-fma.f32`
12 274×	`lower-fma.f64`
12 274×	`lower-fma.f32`
4 942×	`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
0	28	410
1	87	410
2	237	410
3	702	410
4	2129	410
5	4262	410
6	6911	410
0	8031	383
0	306	4066
1	941	3994
2	2849	3874
0	8265	3732

Stop Event

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

Compiler

Compiled 85 to 46 computations (45.9% saved)

preprocess50.0ms (0.9%)

Memory: -7.6MiB live, 31.1MiB allocated
Remove: (abs z)
Compiler: Compiled 86 to 62 computations (27.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample960.0ms (16.6%)

explain112.0ms (1.9%)

preprocess31.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize28.0ms (0.5%)

series8.0ms (0.1%)

simplify89.0ms (1.5%)

rewrite234.0ms (4.1%)

eval33.0ms (0.6%)

prune9.0ms (0.2%)

simplify110.0ms (1.9%)

localize119.0ms (2.1%)

series82.0ms (1.4%)

simplify164.0ms (2.8%)

rewrite345.0ms (6%)

eval777.0ms (13.5%)

prune92.0ms (1.6%)

simplify129.0ms (2.2%)

localize67.0ms (1.2%)

series41.0ms (0.7%)

simplify160.0ms (2.8%)

rewrite237.0ms (4.1%)

eval278.0ms (4.8%)

prune135.0ms (2.3%)

simplify79.0ms (1.4%)

localize100.0ms (1.7%)

series39.0ms (0.7%)

simplify152.0ms (2.6%)

rewrite207.0ms (3.6%)

eval139.0ms (2.4%)

prune80.0ms (1.4%)

regimes43.0ms (0.8%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify36.0ms (0.6%)

soundness591.0ms (10.2%)

preprocess50.0ms (0.9%)

end0.0ms (0%)

Profiling