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

0.4MiB live, 0.4MiB 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 (14.5%)

Memory

3.1MiB live, 913.5MiB allocated

Samples

766.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 140.0ms (73.2% of total)

ival-add: 41.0ms (21.5% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 4.0ms (2.1% of total)

Bogosity

explain106.0ms (1.5%)

Memory

2.6MiB live, 156.0MiB 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

62.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 40.0ms (83.2% of total)

ival-mult: 7.0ms (14.6% of total)

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

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

preprocess31.0ms (0.4%)

Memory

-1.7MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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

localize18.0ms (0.2%)

Memory

4.5MiB live, 43.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.00390625	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0.12890625	(.f64 (.f64 y z) z)

Samples

13.0ms

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 (60.4% of total)

ival-add: 1.0ms (20.1% of total)

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

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

series10.0ms (0.1%)

Memory

-11.4MiB live, 26.9MiB 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	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	y	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	x	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	z	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z))

simplify90.0ms (1.3%)

Memory

22.4MiB live, 138.6MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite300.0ms (4.2%)

Memory

-13.4MiB live, 377.4MiB allocated

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>

eval30.0ms (0.4%)

Memory: 4.0MiB live, 83.7MiB allocated
Compiler: Compiled 6 489 to 492 computations (92.4% saved)

prune10.0ms (0.1%)

Memory

0.4MiB live, 38.1MiB 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
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	57.5%	(fma.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 z)) x)
▶	44.3%	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
▶	48.9%	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
▶	45.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 130 to 86 computations (33.8% saved)

simplify118.0ms (1.7%)

Memory

7.3MiB live, 160.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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	0	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff	26880	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	(log.f64 (*.f64 z y))
cost-diff	0	(fma.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 z)) x)
cost-diff	12800	(exp.f64 (log.f64 z))
cost-diff	12800	(exp.f64 (log.f64 (*.f64 z y)))
cost-diff	0	(pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	192	(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
cost-diff	8768	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(*.f64 z 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)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	191
0	50	151
1	77	150
2	147	150
3	309	150
4	767	150
5	1534	150
6	4237	150
7	7055	150
0	8194	150

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (2.1%)

Memory

-0.5MiB live, 219.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (*.f64 z y) z x)
accuracy	0.06707246498170585	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
accuracy	0.1171875	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
accuracy	5.796252188128017	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
accuracy	0.0390625	(fma.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 z)) x)
accuracy	1.5802711901688853	(exp.f64 (log.f64 (*.f64 z y)))
accuracy	2.0910289121342602	(exp.f64 (log.f64 z))
accuracy	6.2164697790840195	(log.f64 (*.f64 z y))
accuracy	0.06316621498170585	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	0.06640625	(.f64 (.f64 z y) z)
accuracy	2.2421854358302062	(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
accuracy	14.05350031876262	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0	(*.f64 z z)
accuracy	3.210814469044775	(.f64 (.f64 z z) y)
accuracy	8.689289115768696	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0	(*.f64 z y)
accuracy	0.0390625	(fma.f64 (*.f64 z y) z x)

Samples

66.0ms	101×	0	valid
40.0ms	155×	0	invalid

Compiler

Compiled 196 to 32 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 17.0ms (33.8% of total)

ival-log: 10.0ms (19.9% of total)

ival-pow: 7.0ms (13.9% of total)

ival-add: 5.0ms (9.9% of total)

ival-exp: 5.0ms (9.9% of total)

ival-pow2: 3.0ms (6% of total)

ival-div: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series187.0ms (2.6%)

Memory

-9.3MiB live, 218.2MiB allocated

Counts

18 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	y	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (exp (log (* z y))) (exp (log z)) (+ (* (exp (log (* z y))) (exp (log z))) x) (log (* z y)) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
39.0ms	z	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (exp (log (* z y))) (exp (log z)) (+ (* (exp (log (* z y))) (exp (log z))) x) (log (* z y)) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
28.0ms	z	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (exp (log (* z y))) (exp (log z)) (+ (* (exp (log (* z y))) (exp (log z))) x) (log (* z y)) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
21.0ms	y	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (exp (log (* z y))) (exp (log z)) (+ (* (exp (log (* z y))) (exp (log z))) x) (log (* z y)) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
10.0ms	z	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (exp (log (* z y))) (exp (log z)) (+ (* (exp (log (* z y))) (exp (log z))) x) (log (* z y)) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (* (* z y) z) (/ -1 (- x (* (* z y) z))))

simplify199.0ms (2.8%)

Memory

14.8MiB live, 304.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	5227
1	1525	5105
2	4948	5056
0	8333	4859

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 472

Calls

Call 1

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

rewrite256.0ms (3.6%)

Memory

-4.8MiB live, 256.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	149
0	50	107
1	176	105
2	967	105
0	8550	105

Stop Event

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

Counts

18 → 1 482

Calls

Call 1

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

Outputs
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eval427.0ms (6%)

Memory: 43.9MiB live, 756.7MiB allocated
Compiler: Compiled 98 987 to 3 977 computations (96% saved)

prune98.0ms (1.4%)

Memory

-22.3MiB live, 247.1MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	2 951	7	2 958
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	2 954	9	2 963

Accuracy

100.0%

Counts

2 963 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.5%	(fma.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/2 binary64))) z x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
	42.1%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) z) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
▶	40.5%	(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
▶	42.5%	(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 y z)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
▶	87.6%	#s(approx (+ (* (* z y) z) x) (fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x))
✓	45.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	49.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
▶	24.5%	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 z z) y)) (sqrt.f64 (.f64 (*.f64 z z) y))))

Compiler

Compiled 248 to 165 computations (33.5% saved)

simplify119.0ms (1.7%)

Memory

28.4MiB live, 184.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (*.f64 (neg.f64 x) x))
cost-diff	8768	(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	320	(fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 y z)) z (*.f64 (neg.f64 x) x))
cost-diff	8768	(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 y z)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(sqrt.f64 (.f64 (.f64 z z) y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 z z) y)) (sqrt.f64 (.f64 (*.f64 z z) y))))
cost-diff	2240	(.f64 (sqrt.f64 (.f64 (.f64 z z) y)) (sqrt.f64 (.f64 (*.f64 z z) y)))
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 (.f64 z z) y)
cost-diff	0	(/.f64 (.f64 (.f64 z z) y) x)
cost-diff	0	#s(approx (+ (* (* z y) z) x) (fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x))
cost-diff	1024	(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	304
0	56	258
1	110	258
2	251	246
3	533	232
4	1260	232
5	3139	232
6	6976	232
0	8586	225

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.9%)

Memory

-27.7MiB live, 131.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (.f64 z y) z)
accuracy	3.211861757260779	(fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (*.f64 (neg.f64 x) x))
accuracy	4.972032516131119	(.f64 (.f64 z z) y)
accuracy	18.96851389970313	(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0.08203125	(.f64 (.f64 z y) z)
accuracy	2.0156250000000004	(fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 y z)) z (*.f64 (neg.f64 x) x))
accuracy	4.972032516131119	(.f64 (.f64 z z) y)
accuracy	18.96851389970313	(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 y z)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0.10613251953688405	(.f64 (sqrt.f64 (.f64 (.f64 z z) y)) (sqrt.f64 (.f64 (*.f64 z z) y)))
accuracy	4.972032516131119	(.f64 (.f64 z z) y)
accuracy	10.982662201289104	(sqrt.f64 (.f64 (.f64 z z) y))
accuracy	17.62959286292416	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 z z) y)) (sqrt.f64 (.f64 (*.f64 z z) y))))
accuracy	0	(*.f64 y z)
accuracy	0.08203125	(.f64 (.f64 y z) z)
accuracy	17.62959286292416	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
accuracy	0	#s(approx (+ (* (* z y) z) x) (fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x))
accuracy	2.594535716221203	(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
accuracy	4.299770395282899	(/.f64 (.f64 (.f64 z z) y) x)
accuracy	4.972032516131119	(.f64 (.f64 z z) y)

Samples

31.0ms	138×	0	valid
26.0ms	118×	0	invalid

Compiler

Compiled 280 to 31 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 22.0ms (57.7% of total)

ival-add: 8.0ms (21% of total)

ival-div: 4.0ms (10.5% of total)

ival-sqrt: 2.0ms (5.2% of total)

ival-sub: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory

13.4MiB live, 51.6MiB allocated

Counts

16 → 480

Calls

Call 1

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

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

Calls

9 calls:

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

simplify215.0ms (3%)

Memory

8.5MiB live, 162.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	3058
1	164	3016
2	487	3016
3	1483	3016
4	3753	2968
5	6841	2968
0	8023	2806

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 456

Calls

Call 1

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

rewrite237.0ms (3.3%)

Memory

-21.6MiB live, 291.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	189
0	56	143
1	211	134
2	1168	119
0	8935	112

Stop Event

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

Counts

16 → 1 678

Calls

Call 1

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

Outputs
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eval800.0ms (11.2%)

Memory: 13.8MiB live, 545.5MiB allocated
Compiler: Compiled 67 129 to 3 967 computations (94.1% saved)

prune157.0ms (2.2%)

Memory

-5.4MiB live, 159.6MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	2 925	8	2 933
Fresh	2	0	2
Picked	4	1	5
Done	0	2	2
Total	2 931	11	2 942

Accuracy

100.0%

Counts

2 942 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	78.4%	(.f64 (fma.f64 (/.f64 y x) (.f64 z z) #s(literal 1 binary64)) x)
▶	44.0%	(.f64 (fma.f64 (.f64 (.f64 (.f64 y z) z) (.f64 y z)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
▶	91.0%	#s(approx (+ (* (* z y) z) x) (fma.f64 (.f64 z (/.f64 (.f64 y z) x)) x x))
	86.1%	#s(approx (+ (* (* z y) z) x) (fma.f64 (.f64 y (/.f64 (.f64 z z) x)) x x))
	44.1%	#s(approx (+ x (* (* y z) z)) (/.f64 (.f64 (.f64 x (*.f64 y z)) (neg.f64 z)) (neg.f64 x)))
▶	38.7%	#s(approx (+ x (* (* y z) z)) (.f64 (/.f64 (.f64 y (*.f64 z z)) x) x))
▶	44.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 x (.f64 y z)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x)))
	26.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z))) z))
✓	45.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	49.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 226 to 169 computations (25.2% saved)

simplify153.0ms (2.2%)

Memory

1.4MiB live, 80.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) z)
cost-diff	320	(fma.f64 (.f64 (.f64 (.f64 y z) z) (.f64 y z)) z (*.f64 (neg.f64 x) x))
cost-diff	8768	(.f64 (fma.f64 (.f64 (.f64 (.f64 y z) z) (.f64 y z)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(.f64 x (.f64 y z))
cost-diff	0	(.f64 (.f64 x (*.f64 y z)) (neg.f64 z))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 x (.f64 y z)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x)))
cost-diff	1472	(.f64 (.f64 (.f64 x (.f64 y z)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) (*.f64 z z) #s(literal 1 binary64))
cost-diff	1024	(.f64 (fma.f64 (/.f64 y x) (.f64 z z) #s(literal 1 binary64)) x)
cost-diff	0	(.f64 y (.f64 z z))
cost-diff	0	(/.f64 (.f64 y (.f64 z z)) x)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (/.f64 (.f64 y (*.f64 z z)) x) x))
cost-diff	1024	(.f64 (/.f64 (.f64 y (*.f64 z z)) x) x)
cost-diff	0	(/.f64 (*.f64 y z) x)
cost-diff	0	(.f64 z (/.f64 (.f64 y z) x))
cost-diff	0	#s(approx (+ (* (* z y) z) x) (fma.f64 (.f64 z (/.f64 (.f64 y z) x)) x x))
cost-diff	1024	(fma.f64 (.f64 z (/.f64 (.f64 y z) x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	266
0	69	257
1	142	257
2	330	239
3	902	213
4	2069	211
5	3991	211
6	6698	211
0	8086	204

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.2%)

Memory

0.6MiB live, 111.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (.f64 (.f64 y z) z) (.f64 y z))
accuracy	0.17246829486118156	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	3.7184226015061363	(fma.f64 (.f64 (.f64 (.f64 y z) z) (.f64 y z)) z (*.f64 (neg.f64 x) x))
accuracy	33.33574306675866	(.f64 (fma.f64 (.f64 (.f64 (.f64 y z) z) (.f64 y z)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	1.262311238973	(.f64 (.f64 x (*.f64 y z)) (neg.f64 z))
accuracy	5.056068567387098	(.f64 x (.f64 y z))
accuracy	7.349676110658444	(.f64 (.f64 (.f64 x (.f64 y z)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
accuracy	32.13228410674452	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 x (.f64 y z)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x)))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 z z)
accuracy	4.991332018990749	(.f64 (fma.f64 (/.f64 y x) (.f64 z z) #s(literal 1 binary64)) x)
accuracy	9.359711229793414	(fma.f64 (/.f64 y x) (*.f64 z z) #s(literal 1 binary64))
accuracy	5.601425855113516	(/.f64 (.f64 y (.f64 z z)) x)
accuracy	8.009080136776516	(.f64 y (.f64 z z))
accuracy	9.111581785433579	(.f64 (/.f64 (.f64 y (*.f64 z z)) x) x)
accuracy	32.13228410674452	#s(approx (+ x (* (* y z) z)) (.f64 (/.f64 (.f64 y (*.f64 z z)) x) x))
accuracy	0	#s(approx (+ (* (* z y) z) x) (fma.f64 (.f64 z (/.f64 (.f64 y z) x)) x x))
accuracy	1.0324939923204135	(.f64 z (/.f64 (.f64 y z) x))
accuracy	4.983519518990749	(fma.f64 (.f64 z (/.f64 (.f64 y z) x)) x x)
accuracy	5.758815047636118	(/.f64 (*.f64 y z) x)

Samples

101.0ms

256×

valid

Compiler

Compiled 239 to 38 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 46.0ms (56.8% of total)

ival-neg: 18.0ms (22.2% of total)

ival-div: 9.0ms (11.1% of total)

ival-add: 6.0ms (7.4% of total)

ival-sub: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series115.0ms (1.6%)

Memory

33.1MiB live, 107.3MiB allocated

Counts

22 → 708

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	y	@	-inf	((+ (* (* z (/ (* y z) x)) x) x) (+ (* (* z y) z) x) (* z (/ (* y z) x)) (/ (* y z) x) (* (/ (* y (* z z)) x) x) (+ x (* (* y z) z)) (/ (* y (* z z)) x) (* y (* z z)) (* (+ (* (/ y x) (* z z)) 1) x) (+ (* (/ y x) (* z z)) 1) (/ y x) (* z z) (* (* (* x (* y z)) (neg z)) (/ -1 x)) (+ x (* (* y z) z)) (* (* x (* y z)) (neg z)) (* x (* y z)) (* (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (* (* y z) z) (* y z) (/ -1 (- x (* (* z y) z))) (* (* (* y z) z) (* y z)))
4.0ms	y	@	inf	((+ (* (* z (/ (* y z) x)) x) x) (+ (* (* z y) z) x) (* z (/ (* y z) x)) (/ (* y z) x) (* (/ (* y (* z z)) x) x) (+ x (* (* y z) z)) (/ (* y (* z z)) x) (* y (* z z)) (* (+ (* (/ y x) (* z z)) 1) x) (+ (* (/ y x) (* z z)) 1) (/ y x) (* z z) (* (* (* x (* y z)) (neg z)) (/ -1 x)) (+ x (* (* y z) z)) (* (* x (* y z)) (neg z)) (* x (* y z)) (* (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (* (* y z) z) (* y z) (/ -1 (- x (* (* z y) z))) (* (* (* y z) z) (* y z)))
4.0ms	z	@	-inf	((+ (* (* z (/ (* y z) x)) x) x) (+ (* (* z y) z) x) (* z (/ (* y z) x)) (/ (* y z) x) (* (/ (* y (* z z)) x) x) (+ x (* (* y z) z)) (/ (* y (* z z)) x) (* y (* z z)) (* (+ (* (/ y x) (* z z)) 1) x) (+ (* (/ y x) (* z z)) 1) (/ y x) (* z z) (* (* (* x (* y z)) (neg z)) (/ -1 x)) (+ x (* (* y z) z)) (* (* x (* y z)) (neg z)) (* x (* y z)) (* (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (* (* y z) z) (* y z) (/ -1 (- x (* (* z y) z))) (* (* (* y z) z) (* y z)))
4.0ms	z	@	inf	((+ (* (* z (/ (* y z) x)) x) x) (+ (* (* z y) z) x) (* z (/ (* y z) x)) (/ (* y z) x) (* (/ (* y (* z z)) x) x) (+ x (* (* y z) z)) (/ (* y (* z z)) x) (* y (* z z)) (* (+ (* (/ y x) (* z z)) 1) x) (+ (* (/ y x) (* z z)) 1) (/ y x) (* z z) (* (* (* x (* y z)) (neg z)) (/ -1 x)) (+ x (* (* y z) z)) (* (* x (* y z)) (neg z)) (* x (* y z)) (* (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (* (* y z) z) (* y z) (/ -1 (- x (* (* z y) z))) (* (* (* y z) z) (* y z)))
4.0ms	y	@	0	((+ (* (* z (/ (* y z) x)) x) x) (+ (* (* z y) z) x) (* z (/ (* y z) x)) (/ (* y z) x) (* (/ (* y (* z z)) x) x) (+ x (* (* y z) z)) (/ (* y (* z z)) x) (* y (* z z)) (* (+ (* (/ y x) (* z z)) 1) x) (+ (* (/ y x) (* z z)) 1) (/ y x) (* z z) (* (* (* x (* y z)) (neg z)) (/ -1 x)) (+ x (* (* y z) z)) (* (* x (* y z)) (neg z)) (* x (* y z)) (* (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* (* y z) z) (* y z)) z) (* (neg x) x)) (* (* y z) z) (* y z) (/ -1 (- x (* (* z y) z))) (* (* (* y z) z) (* y z)))

simplify211.0ms (3%)

Memory

-42.5MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	5038
1	657	4989
2	2035	4952
3	7354	4950
0	8128	4733

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 684

Calls

Call 1

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

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

rewrite280.0ms (3.9%)

Memory

-7.5MiB live, 232.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	213
0	69	207
1	248	198
2	1448	185
0	8455	179

Stop Event

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

Counts

22 → 1 077

Calls

Call 1

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

Outputs
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eval378.0ms (5.3%)

Memory: 42.3MiB live, 421.0MiB allocated
Compiler: Compiled 30 723 to 2 509 computations (91.8% saved)

prune110.0ms (1.5%)

Memory

11.0MiB live, 168.0MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 852	5	1 857
Fresh	2	1	3
Picked	4	1	5
Done	0	3	3
Total	1 858	10	1 868

Accuracy

100.0%

Counts

1 868 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	44.0%	(.f64 (fma.f64 (.f64 (.f64 (.f64 y z) z) (.f64 y z)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
	52.8%	(.f64 #s(approx (+ ( (/ y x) (* z z)) 1) #s(literal 1 binary64)) x)
	44.1%	#s(approx (+ x (* (* y z) z)) (/.f64 (.f64 (.f64 x (*.f64 y z)) (neg.f64 z)) (neg.f64 x)))
	40.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (/.f64 (*.f64 y z) x) z) x))
	32.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (/.f64 y x) (*.f64 z z)) x))
	43.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (.f64 x z) y) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x)))
	38.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 z (/.f64 z x)) y) x))
✓	45.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	49.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 443 to 184 computations (58.5% saved)

regimes85.0ms (1.2%)

Memory

-7.9MiB live, 115.3MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	(+.f64 x (.f64 (.f64 y z) z))
18.0ms	y
7.0ms	z
7.0ms	x
7.0ms	(.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)

regimes10.0ms (0.1%)

Memory

-10.6MiB live, 28.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.2%	3	`x`
66.3%	3	`y`
81.8%	2	`z`
75.2%	3	`(+.f64 x (.f64 (.f64 y z) z))`
91.8%	3	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes9.0ms (0.1%)

Memory

-10.3MiB live, 27.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
1.0ms	(+.f64 x (.f64 (.f64 y z) z))
1.0ms	y
1.0ms	z
1.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
52.8%	1	`y`
52.8%	1	`x`
52.8%	1	`(+.f64 x (.f64 (.f64 y z) z))`
52.8%	1	`z`
52.8%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	18373893689.37	472334889117.74506
0.0ms	-1.6512433282617817e-24	-3.32594702624208e-42

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify24.0ms (0.3%)

Memory

19.9MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	74
1	30	74

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal -5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 y z) z)) (if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal 20000000000 binary64)) (*.f64 #s(approx (+ (* (/ y x) (* z z)) 1) #s(literal 1 binary64)) x) #s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 y z) z))))

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

Outputs
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 y z) z x)
(if (<=.f64 (.f64 (.f64 y z) z) #s(literal -5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (if (<=.f64 (.f64 (.f64 y z) z) #s(literal 20000000000 binary64)) (.f64 #s(approx (+ ( (/ y x) (* z z)) 1) #s(literal 1 binary64)) x) #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))))
(.f64 #s(approx (+ ( (/ y x) (* z z)) 1) #s(literal 1 binary64)) x)

soundness786.0ms (11%)

Memory

-46.0MiB live, 577.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	14
0	29	149
0	50	107
1	176	105
2	967	105
0	8550	105
0	216	5038
1	657	4989
2	2035	4952
3	7354	4950
0	8128	4733
0	33	189
0	56	143
1	211	134
2	1168	119
0	8935	112
0	28	410
1	87	410
2	237	410
3	702	410
4	2129	410
5	4262	410
6	6911	410
0	8031	383

Stop Event

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

Compiler

Compiled 186 to 100 computations (46.2% saved)

preprocess47.0ms (0.7%)

Memory: 21.1MiB live, 99.8MiB allocated
Remove: (abs z)
Compiler: Compiled 122 to 64 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (14.5%)

explain106.0ms (1.5%)

preprocess31.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize18.0ms (0.2%)

series10.0ms (0.1%)

simplify90.0ms (1.3%)

rewrite300.0ms (4.2%)

eval30.0ms (0.4%)

prune10.0ms (0.1%)

simplify118.0ms (1.7%)

localize147.0ms (2.1%)

series187.0ms (2.6%)

simplify199.0ms (2.8%)

rewrite256.0ms (3.6%)

eval427.0ms (6%)

prune98.0ms (1.4%)

simplify119.0ms (1.7%)

localize136.0ms (1.9%)

series35.0ms (0.5%)

simplify215.0ms (3%)

rewrite237.0ms (3.3%)

eval800.0ms (11.2%)

prune157.0ms (2.2%)

simplify153.0ms (2.2%)

localize154.0ms (2.2%)

series115.0ms (1.6%)

simplify211.0ms (3%)

rewrite280.0ms (3.9%)

eval378.0ms (5.3%)

prune110.0ms (1.5%)

regimes85.0ms (1.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

simplify24.0ms (0.3%)

soundness786.0ms (11%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling