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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (18.2%)

Memory

2.0MiB live, 1 014.2MiB allocated

Samples

797.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 194.0ms (76.1% of total)

ival-add: 52.0ms (20.4% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain67.0ms (1.2%)

Memory

0.7MiB live, 106.9MiB 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

28.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 12.0ms (82.8% of total)

ival-add: 2.0ms (13.8% of total)

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

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

preprocess39.0ms (0.7%)

Memory

5.5MiB live, 47.9MiB 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: 0.6MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.7MiB 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

9.0MiB live, 9.0MiB 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

localize23.0ms (0.4%)

Memory

5.8MiB live, 37.8MiB 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	0.12890625	(.f64 (.f64 y z) z)

Samples

18.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (64.7% of total)

ival-add: 1.0ms (21.6% of total)

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

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

series9.0ms (0.2%)

Memory

-21.1MiB live, 17.3MiB 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
2.0ms	y	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	x	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	z	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z))

simplify96.0ms (1.7%)

Memory

5.9MiB live, 165.5MiB 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)

rewrite232.0ms (4.1%)

Memory

-7.7MiB live, 262.1MiB 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
#<batchref>
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#<batchref>
#<batchref>
#<batchref>

eval31.0ms (0.6%)

Memory: -25.7MiB live, 49.3MiB allocated
Compiler: Compiled 6 489 to 492 computations (92.4% saved)

prune8.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB 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
▶	91.3%	(fma.f64 (*.f64 z z) y x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	33.1%	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
▶	40.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 94 to 76 computations (19.1% saved)

simplify80.0ms (1.4%)

Memory

-11.3MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1 104×	`lower-fma.f32`
1 098×	`lower-fma.f64`
812×	`times-frac`
760×	`lower-*.f32`
748×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	142
0	41	137
1	62	137
2	74	137
3	105	137
4	190	137
5	323	137
6	759	137
7	1928	137
8	2334	137
9	2497	137
10	2570	137
11	2576	137
12	2578	137
13	2581	137
14	2582	137
0	2582	137

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1.3%)

Memory

15.0MiB live, 139.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (.f64 z y) z)
accuracy	2.2456072928788866	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	7.2131020324357396	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
accuracy	37.455317296033584	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
accuracy	0	(*.f64 z y)
accuracy	0.0625	(fma.f64 (*.f64 z y) z x)
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
accuracy	0.2924819472168929	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
accuracy	0	(*.f64 z z)
accuracy	5.539988251388721	(fma.f64 (*.f64 z z) y x)
accuracy	0	(*.f64 z z)
accuracy	10.211028035245214	(.f64 (.f64 z z) y)
accuracy	33.30902537731701	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0	(*.f64 z y)
accuracy	0.0625	(fma.f64 (*.f64 z y) z x)

Samples

53.0ms

256×

valid

Compiler

Compiled 145 to 27 computations (81.4% saved)

Precisions

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

ival-mult: 13.0ms (36.6% of total)

ival-add: 8.0ms (22.5% of total)

ival-pow: 8.0ms (22.5% of total)

ival-div: 3.0ms (8.4% of total)

ival-sub: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.9%)

Memory

-26.1MiB live, 55.1MiB allocated

Counts

13 → 372

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))
3.0ms	y	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))
3.0ms	z	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))
2.0ms	y	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))
2.0ms	y	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))

simplify178.0ms (3.2%)

Memory

24.7MiB live, 178.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 442×	`lower-fma.f64`
11 442×	`lower-fma.f32`
5 774×	`lower-*.f64`
5 774×	`lower-*.f32`
3 582×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	3139
1	598	3090
2	1789	3022
3	7061	3020
0	8317	2899

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 352

Calls

Call 1

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

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

rewrite297.0ms (5.3%)

Memory

-24.2MiB live, 216.3MiB allocated

Rules

14 278×	`lower-fma.f32`
14 272×	`lower-fma.f64`
5 790×	`lower-*.f32`
5 778×	`lower-*.f64`
3 050×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
0	41	79
1	150	79
2	847	79
0	8548	79

Stop Event

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

Counts

13 → 1 547

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>
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eval648.0ms (11.5%)

Memory: 42.2MiB live, 487.3MiB allocated
Compiler: Compiled 75 667 to 2 482 computations (96.7% saved)

prune86.0ms (1.5%)

Memory

-12.4MiB live, 193.5MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	2 295	5	2 300
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	2 297	8	2 305

Accuracy

100.0%

Counts

2 305 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	48.2%	(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
▶	33.1%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
▶	9.2%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
✓	40.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	47.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 148 to 112 computations (24.3% saved)

simplify165.0ms (2.9%)

Memory

4.7MiB live, 237.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y z)
cost-diff	0	(fma.f64 (*.f64 y z) z x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1/2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
cost-diff	0	(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
cost-diff	0	#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
cost-diff	0	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
cost-diff	8448	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
cost-diff	0	(*.f64 y z)
cost-diff	0	(fma.f64 (*.f64 y z) z x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))

Rules

7 044×	`lower-fma.f32`
7 040×	`lower-fma.f64`
3 396×	`lower-*.f32`
3 380×	`lower-*.f64`
2 154×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	249
0	61	235
1	93	223
2	144	213
3	223	213
4	427	213
5	1177	213
6	3015	213
7	6075	213
0	8054	213

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (2.1%)

Memory

14.2MiB live, 210.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.0390625	(fma.f64 (*.f64 y z) z x)
accuracy	0.17320253907376804	(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
accuracy	4.492443229747326	(pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1/2 binary64))
accuracy	1.0585377328085588	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	2.197232723610633	(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
accuracy	11.367004441278262	#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
accuracy	19.21919611067878	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
accuracy	0.0703125	(.f64 (.f64 z z) (*.f64 z z))
accuracy	1.0585377328085588	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
accuracy	3.647497849515515	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
accuracy	19.21919611067878	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
accuracy	0	(*.f64 y z)
accuracy	0.046875	(.f64 (.f64 y z) z)
accuracy	14.226766387984165	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
accuracy	0	(*.f64 y z)
accuracy	0.0390625	(fma.f64 (*.f64 y z) z x)
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
accuracy	0.2651381972168929	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x))

Samples

45.0ms	132×	0	invalid
29.0ms	124×	0	valid

Compiler

Compiled 237 to 33 computations (86.1% saved)

Precisions

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

ival-mult: 16.0ms (39.5% of total)

ival-pow: 11.0ms (27.1% of total)

ival-div: 6.0ms (14.8% of total)

ival-add: 4.0ms (9.9% of total)

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

exact: 1.0ms (2.5% of total)

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

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

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

series46.0ms (0.8%)

Memory

-12.4MiB live, 87.1MiB allocated

Counts

17 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 z z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 z z) (.f64 z z)) y) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (patch #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (patch (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 z #s(literal 4 binary64)) y) (patch (.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z z) (.f64 z z)) (patch (.f64 (.f64 z z) (.f64 z z)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (* (* z z) (* z z)))
4.0ms	x	@	0	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (* (* z z) (* z z)))
3.0ms	z	@	inf	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (* (* z z) (* z z)))
3.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (* (* z z) (* z z)))
2.0ms	z	@	0	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (pow z 4) y) y) (* (pow z 4) y) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (* (* z z) (* z z)))

simplify175.0ms (3.1%)

Memory

-3.4MiB live, 310.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
6 630×	`lower-*.f64`
6 630×	`lower-*.f32`
3 850×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	402	5293
1	1236	5142
2	4400	5060
0	8193	4870

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 480

Calls

Call 1

Inputs
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)))
(* 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 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))
(+ (sqrt (/ 1 x)) (* (pow z 2) (+ (* -1/2 (* (sqrt x) (* (pow z 2) (+ (* -1 (/ (pow y 2) (pow x 3))) (* 1/4 (/ (pow y 2) (pow x 3))))))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (sqrt (/ 1 x)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (pow z 2) (+ (* -1/2 (* (sqrt x) (* (pow z 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ (pow y 2) (pow x 3))) (* 1/4 (/ (pow y 2) (pow x 3))))) x)) (/ (pow y 3) (pow x 4)))))) (* -1/2 (* (sqrt x) (+ (* -1 (/ (pow y 2) (pow x 3))) (* 1/4 (/ (pow y 2) (pow x 3)))))))))))
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(/ 1 (* 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))))
(* 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 (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (sqrt (/ 1 y)) (/ 1 z))
(/ (+ (sqrt (/ 1 y)) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))) z)
(/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3))))))) z)
(/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (+ (* -1/2 (* (sqrt y) (/ (+ (* 1/2 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3))))) y)) (/ (pow x 3) (pow y 4))) (pow z 6)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))))) z)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(/ 1 (* 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))))
(* 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 (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 2))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* -1 (* (sqrt (/ 1 y)) (/ 1 z)))
(* -1 (/ (+ (sqrt (/ 1 y)) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))) z))
(* -1 (/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3))))))) z))
(* -1 (/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (+ (* -1/2 (* (sqrt y) (/ (+ (* 1/2 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3))))) y)) (/ (pow x 3) (pow y 4))) (pow z 6)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))))) z))
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(/ 1 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)))
(* 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 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))
(+ (sqrt (/ 1 x)) (* y (+ (* -1/2 (* (sqrt x) (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* 1/4 (/ (pow z 4) (pow x 3))))))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow z 2))))))
(+ (sqrt (/ 1 x)) (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow z 2))) (* y (+ (* -1/2 (* (sqrt x) (* y (+ (* 1/2 (/ (* (pow z 2) (+ (* -1 (/ (pow z 4) (pow x 3))) (* 1/4 (/ (pow z 4) (pow x 3))))) x)) (/ (pow z 6) (pow x 4)))))) (* -1/2 (* (sqrt x) (+ (* -1 (/ (pow z 4) (pow x 3))) (* 1/4 (/ (pow z 4) (pow x 3)))))))))))
(* 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)))
(* 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)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* (pow y 2) (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 4))
(* y (pow z 2))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (/ x y) (pow z 2)))
(* (sqrt (/ 1 y)) (/ 1 z))
(+ (* -1/2 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(+ (* -1/2 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (/ (pow x 2) (pow z 5)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (/ 1 z))))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (* z (+ (* 1/4 (/ (* (pow x 2) y) (pow z 6))) (/ (pow x 3) (pow z 8)))))) (+ (* -1/2 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (/ (pow x 2) (pow z 5)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (/ 1 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)))))
(/ 1 (* y (pow z 2)))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* 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)))))
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Outputs
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(+ (* -1/2 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 3/8 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(fma.f64 (fma.f64 (.f64 x #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 5 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* x (+ (* -5/16 (* (/ x (pow z 7)) (sqrt (/ 1 (pow y 7))))) (* 3/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow z 5)))))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 z #s(literal 7 binary64))) #s(literal -5/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 5 binary64))) #s(literal 3/8 binary64))) x (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z))
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 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 (.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 (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))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(.f64 (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))
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)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 z z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 z z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (* (pow y 2) (pow z 4)))) (* (pow y 3) (pow z 6))))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/4 binary64) x) (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 z z) y))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) 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 #s(literal -1 binary64) (/.f64 (.f64 y (fma.f64 (neg.f64 z) z (.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) x)))) x)) (neg.f64 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)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) 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))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) 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))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 z z) y) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 z z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 z z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/4 (/ (* x (* (pow y 2) (pow z 4))) (pow (sqrt -1) 2))) (* (pow y 3) (pow z 6)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 z z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 x) y) y)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))

rewrite253.0ms (4.5%)

Memory

-22.6MiB live, 397.5MiB allocated

Rules

11 742×	`lower-fma.f32`
11 738×	`lower-fma.f64`
5 022×	`lower-*.f32`
5 006×	`lower-*.f64`
3 000×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	180
0	61	140
1	200	140
2	1038	140
0	8643	140

Stop Event

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

Counts

17 → 1 779

Calls

Call 1

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

Outputs
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eval428.0ms (7.6%)

Memory: 50.7MiB live, 655.0MiB allocated
Compiler: Compiled 87 971 to 3 803 computations (95.7% saved)

prune78.0ms (1.4%)

Memory

14.4MiB live, 210.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	2 691	2	2 693
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	2 693	8	2 701

Accuracy

100.0%

Counts

2 701 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	26.0%	(pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64))
✓	9.2%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
▶	11.1%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
✓	40.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	47.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 79 to 63 computations (20.3% saved)

simplify327.0ms (5.8%)

Memory

21.5MiB live, 238.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
cost-diff	0	#s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z))
cost-diff	0	(pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	(.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)
cost-diff	0	#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y))
cost-diff	0	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x))

Rules

27 588×	`lower-fma.f64`
27 588×	`lower-fma.f32`
4 796×	`lower-*.f32`
4 786×	`lower-*.f64`
2 388×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	148
0	41	148
1	69	138
2	114	138
3	164	130
4	261	130
5	432	130
6	796	130
7	1254	130
8	1823	130
9	2398	130
10	2910	130
11	4092	130
12	4607	130
13	5205	130
14	5333	130
15	5505	130
16	5657	130
17	7020	130
18	7279	130
0	8351	128

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (2.5%)

Memory

-48.9MiB live, 227.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
accuracy	0.08984375	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
accuracy	0.11556625976844201	(pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64))
accuracy	6.914897719065849	#s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z))
accuracy	0.046875	(.f64 (.f64 z y) z)
accuracy	1.9579004008281822	(.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)
accuracy	5.904020597036375	#s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y))
accuracy	15.185305039607853	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x))

Samples

72.0ms	162×	0	invalid
53.0ms	94×	0	valid

Compiler

Compiled 112 to 30 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 46.0ms (41.2% of total)

ival-add: 41.0ms (36.8% of total)

ival-pow: 13.0ms (11.7% of total)

ival-div: 5.0ms (4.5% of total)

ival-sqrt: 3.0ms (2.7% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series28.0ms (0.5%)

Memory

7.8MiB live, 47.0MiB allocated

Counts

8 → 228

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) (patch (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4))) (taylor 0 z) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (/ 1 z))) (taylor 0 x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 3/8 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))) (* (sqrt (/ 1 y)) (/ 1 z))) (taylor 0 x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* x (+ (* -5/16 (* (/ x (pow z 7)) (sqrt (/ 1 (pow y 7))))) (* 3/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow z 5)))))))) (* (sqrt (/ 1 y)) (/ 1 z))) (taylor 0 x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow z 2)) x))) (taylor inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))) (taylor inf x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))))) (taylor inf x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (* (pow y 2) (pow z 4)))) (* (pow y 3) (pow z 6))))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4))))))) (taylor inf x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (.f64 z y) z) x)) (patch (/.f64 #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (patch #s(approx (+ ( (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z z)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/4 (/ (* x (* (pow y 2) (pow z 4))) (pow (sqrt -1) 2))) (* (pow y 3) (pow z 6)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) (patch #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (/ (sqrt (/ 1 y)) z) (sqrt (/ 1 y)))
2.0ms	y	@	-inf	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (/ (sqrt (/ 1 y)) z) (sqrt (/ 1 y)))
2.0ms	z	@	0	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (/ (sqrt (/ 1 y)) z) (sqrt (/ 1 y)))
2.0ms	z	@	-inf	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (/ (sqrt (/ 1 y)) z) (sqrt (/ 1 y)))
2.0ms	z	@	inf	((/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (* (* (* z y) z) (* z z)) y) (* (* z y) z) (pow (pow (+ (* (* y z) z) x) -1/2) -2) (pow (+ (* (* y z) z) x) -1/2) (/ (sqrt (/ 1 y)) z) (sqrt (/ 1 y)))

simplify160.0ms (2.8%)

Memory

-9.1MiB live, 215.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 912×	`lower-fma.f64`
9 912×	`lower-fma.f32`
7 132×	`lower-*.f64`
7 132×	`lower-*.f32`
3 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	2803
1	806	2640
2	3095	2607
0	8185	2508

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 220

Calls

Call 1

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

rewrite148.0ms (2.6%)

Memory

43.7MiB live, 236.0MiB allocated

Rules

11 674×	`lower-fma.f64`
11 674×	`lower-fma.f32`
5 932×	`lower-*.f32`
5 922×	`lower-*.f64`
3 462×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	116
0	41	116
1	154	98
2	767	98
0	8492	96

Stop Event

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

Counts

8 → 222

Calls

Call 1

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

Outputs
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eval88.0ms (1.6%)

Memory: -40.9MiB live, 132.7MiB allocated
Compiler: Compiled 9 980 to 1 099 computations (89% saved)

prune16.0ms (0.3%)

Memory

-6.6MiB live, 40.9MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	485	2	487
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	486	9	495

Accuracy

100.0%

Counts

495 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
	26.0%	(pow.f64 (pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) #s(literal 2 binary64))
	26.0%	(pow.f64 #s(approx (pow (+ (* (* y z) z) x) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) z))) #s(literal -2 binary64))
✓	9.2%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 (.f64 z y) z) x))
✓	11.1%	(/.f64 #s(approx (+ (* (* (pow z 4) y) y) (* (neg x) x)) (.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z z)) y)) (-.f64 (.f64 (*.f64 z y) z) x))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
✓	40.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	47.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 256 to 134 computations (47.7% saved)

regimes25.0ms (0.4%)

Memory

0.9MiB live, 39.5MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(+.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

18.1MiB live, 18.1MiB allocated

Accuracy

Total -4.6b remaining (-13.7%)

Threshold costs -4.6b (-13.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	z
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)

simplify21.0ms (0.4%)

Memory

1.4MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	13	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness445.0ms (7.9%)

Memory

13.7MiB live, 289.5MiB allocated

Rules

14 278×	`lower-fma.f32`
14 272×	`lower-fma.f64`
13 740×	`lower-fma.f64`
13 740×	`lower-fma.f32`
5 790×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
0	41	79
1	150	79
2	847	79
0	8548	79
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	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	14

Stop Event

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

preprocess27.0ms (0.5%)

Memory: -22.4MiB live, 54.3MiB allocated
Remove: (abs z)
Compiler: Compiled 62 to 46 computations (25.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (18.2%)

explain67.0ms (1.2%)

preprocess39.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.4%)

series9.0ms (0.2%)

simplify96.0ms (1.7%)

rewrite232.0ms (4.1%)

eval31.0ms (0.6%)

prune8.0ms (0.1%)

simplify80.0ms (1.4%)

localize74.0ms (1.3%)

series51.0ms (0.9%)

simplify178.0ms (3.2%)

rewrite297.0ms (5.3%)

eval648.0ms (11.5%)

prune86.0ms (1.5%)

simplify165.0ms (2.9%)

localize116.0ms (2.1%)

series46.0ms (0.8%)

simplify175.0ms (3.1%)

rewrite253.0ms (4.5%)

eval428.0ms (7.6%)

prune78.0ms (1.4%)

simplify327.0ms (5.8%)

localize141.0ms (2.5%)

series28.0ms (0.5%)

simplify160.0ms (2.8%)

rewrite148.0ms (2.6%)

eval88.0ms (1.6%)

prune16.0ms (0.3%)

regimes25.0ms (0.4%)

regimes8.0ms (0.1%)

simplify21.0ms (0.4%)

soundness445.0ms (7.9%)

preprocess27.0ms (0.5%)

end0.0ms (0%)

Profiling