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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (15.8%)

Memory

-14.0MiB live, 1 176.8MiB allocated

Samples

877.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 565.0ms

ival-mult: 479.0ms (84.8% of total)

ival-add: 76.0ms (13.5% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain101.0ms (1.4%)

Memory

18.1MiB live, 93.1MiB 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

24.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (70.4% of total)

ival-add: 2.0ms (20.1% of total)

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

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

preprocess42.0ms (0.6%)

Memory

-12.8MiB live, 25.4MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

localize16.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB 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	0.11328125	(.f64 (.f64 y z) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (64.4% of total)

ival-add: 1.0ms (21.5% of total)

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

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

series8.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 84

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

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

simplify186.0ms (2.6%)

Memory

-34.3MiB live, 85.7MiB 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)

rewrite309.0ms (4.3%)

Memory

3.3MiB live, 165.3MiB 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>

eval33.0ms (0.5%)

Memory: -6.1MiB live, 79.0MiB allocated
Compiler: Compiled 6 489 to 492 computations (92.4% saved)

prune17.0ms (0.2%)

Memory

3.8MiB live, 40.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	246	6	252
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	6	253

Accuracy

100.0%

Counts

253 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
▶	92.4%	(fma.f64 (*.f64 z z) y x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	99.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
▶	37.4%	(.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))))
▶	50.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 132 to 92 computations (30.3% saved)

simplify166.0ms (2.3%)

Memory

34.2MiB live, 227.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	152
0	39	131
1	63	130
2	126	130
3	285	130
4	719	130
5	1362	130
6	4018	130
7	6369	130
0	8107	130

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

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

localize126.0ms (1.8%)

Memory

-4.2MiB live, 148.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (.f64 z y) z)
accuracy	0.8212649941297251	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	5.183585493320824	(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
accuracy	36.7167392552539	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0	(*.f64 z y)
accuracy	0.0546875	(fma.f64 (*.f64 z y) z x)
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
accuracy	0.8095462441297251	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
accuracy	0	(*.f64 z z)
accuracy	4.8921725073313365	(fma.f64 (*.f64 z z) y x)
accuracy	0	(*.f64 z z)
accuracy	9.088971920285623	(.f64 (.f64 z z) y)
accuracy	27.51186998749046	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0	(*.f64 z y)
accuracy	0.0546875	(fma.f64 (*.f64 z y) z x)

Samples

109.0ms

256×

valid

Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 40.0ms (70.7% of total)

ival-add: 4.0ms (7.1% of total)

ival-pow: 4.0ms (7.1% of total)

ival-div: 3.0ms (5.3% of total)

ival-pow2: 3.0ms (5.3% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (1.2%)

Memory

-6.6MiB live, 152.0MiB allocated

Counts

14 → 408

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z y) z x) (patch (fma.f64 (.f64 z y) z x) #<representation binary64>) () ())) ())
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#s(alt (* -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
36.0ms	x	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -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) (/ -1 (- x (* (* z y) z))) (* (* z y) z))
17.0ms	y	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -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) (/ -1 (- x (* (* z y) z))) (* (* z y) z))
7.0ms	z	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -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) (/ -1 (- x (* (* z y) z))) (* (* z y) z))
3.0ms	y	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -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) (/ -1 (- x (* (* z y) z))) (* (* z y) z))
3.0ms	z	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (* (+ (* -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) (/ -1 (- x (* (* z y) z))) (* (* z y) z))

simplify255.0ms (3.6%)

Memory

23.7MiB live, 303.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	3966
1	901	3894
2	2695	3774
0	8278	3630

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 388

Calls

Call 1

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

rewrite237.0ms (3.3%)

Memory

-35.3MiB live, 446.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	112
0	39	91
1	155	90
2	887	90
0	8697	90

Stop Event

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

Counts

14 → 1 641

Calls

Call 1

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

Outputs
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eval451.0ms (6.3%)

Memory: 29.1MiB live, 613.7MiB allocated
Compiler: Compiled 69 494 to 2 959 computations (95.7% saved)

prune88.0ms (1.2%)

Memory

3.0MiB live, 160.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	2 503	6	2 509
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	2 506	9	2 515

Accuracy

100.0%

Counts

2 515 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.4%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
	37.0%	(.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))))
▶	36.4%	(.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
▶	49.3%	(.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (*.f64 y z) z x)))
✓	50.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	56.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
▶	28.0%	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 z z) y)) (sqrt.f64 (.f64 (*.f64 z z) y))))

Compiler

Compiled 216 to 136 computations (37% saved)

simplify143.0ms (2%)

Memory

-7.0MiB live, 186.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 y z) z x)
cost-diff	0	(.f64 z (fma.f64 (.f64 y z) z x))
cost-diff	0	(*.f64 y z)
cost-diff	320	(.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(*.f64 y z)
cost-diff	0	(fma.f64 (*.f64 y z) z x)
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 y z) z x))
cost-diff	2304	(.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (*.f64 y z) z x)))
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 y z)
cost-diff	0	(fma.f64 (*.f64 y z) z x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	246
0	51	215
1	96	203
2	303	200
3	1074	199
4	2779	193
5	6887	193
0	8094	193

Stop Event

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

Calls

Call 1

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

localize81.0ms (1.1%)

Memory

-20.5MiB live, 162.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.4151017442685999	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	1.4592655495703597	(.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))
accuracy	3.894041045375186	(fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (*.f64 y z) z x)))
accuracy	14.680546999844934	(.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0	(*.f64 y z)
accuracy	0.02734375	(fma.f64 (*.f64 y z) z x)
accuracy	0.13509750976844204	(.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (*.f64 y z) z x)))
accuracy	6.81717254498071	(sqrt.f64 (fma.f64 (*.f64 y z) z x))
accuracy	0.11166000976844202	(.f64 (sqrt.f64 (.f64 (.f64 z z) y)) (sqrt.f64 (.f64 (*.f64 z z) y)))
accuracy	3.3778114311662533	(.f64 (.f64 z z) y)
accuracy	7.157232892988585	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 z z) y)) (sqrt.f64 (.f64 (*.f64 z z) y))))
accuracy	8.55944148696369	(sqrt.f64 (.f64 (.f64 z z) y))
accuracy	0	(*.f64 y z)
accuracy	0.046875	(.f64 (.f64 y z) z)
accuracy	7.157232892988585	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
accuracy	0	(*.f64 y z)
accuracy	0.02734375	(fma.f64 (*.f64 y z) z x)
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
accuracy	0.4072892442685999	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x))

Samples

38.0ms	150×	0	invalid
20.0ms	106×	0	valid

Compiler

Compiled 244 to 29 computations (88.1% saved)

Precisions

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

ival-mult: 24.0ms (59.3% of total)

ival-div: 7.0ms (17.3% of total)

ival-add: 3.0ms (7.4% of total)

ival-sqrt: 3.0ms (7.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.8%)

Memory

34.9MiB live, 107.1MiB allocated

Counts

17 → 552

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())
#s(alt (.f64 (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 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 y z) z x)) (patch (sqrt.f64 (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) #<representation binary64>) () ())
#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())
#s(alt (/.f64 #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y z) z x) (patch (fma.f64 (.f64 y z) z x) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) z) (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#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 (* y (pow z 2)) (taylor 0 z) (#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 (* y (pow z 2)) (taylor 0 z) (#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 (* y (pow z 2)) (taylor 0 z) (#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 x (taylor 0 z) (#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 (* y (pow z 2))) (taylor 0 z) (#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 (* y (pow z 2))) (taylor 0 z) (#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 (* y (pow z 2))) (taylor 0 z) (#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 y) z) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (.f64 z z) y)) (patch (sqrt.f64 (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) z) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (.f64 z z) y)) (patch (sqrt.f64 (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) z) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (.f64 z z) y)) (patch (sqrt.f64 (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) z) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (.f64 z z) y)) (patch (sqrt.f64 (.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 x (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 (.f64 y z) z x)) (patch (sqrt.f64 (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) (patch (.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (.f64 y z) z x)) (patch (sqrt.f64 (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#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 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (patch (sqrt.f64 (fma.f64 (.f64 y z) z x)) #<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 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (patch (sqrt.f64 (fma.f64 (.f64 y z) z x)) #<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 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (patch (sqrt.f64 (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #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 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #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 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #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 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y (pow z 3)) x))))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 (.f64 y z) z x)) (patch (.f64 z (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (patch (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (* y (pow z 2)) x)) 1)) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) (patch (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x)) #<representation binary64>) () ())) ())
#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
10.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (* (sqrt (* (* z z) y)) (sqrt (* (* z z) y))) (+ x (* (* y z) z)) (sqrt (* (* z z) y)) (* (* z z) y) (* (sqrt (+ (* (* y z) z) x)) (sqrt (+ (* (* y z) z) x))) (sqrt (+ (* (* y z) z) x)) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (* z (+ (* (* y z) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ -1 (- x (* (* z y) z))))
6.0ms	y	@	0	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (* (sqrt (* (* z z) y)) (sqrt (* (* z z) y))) (+ x (* (* y z) z)) (sqrt (* (* z z) y)) (* (* z z) y) (* (sqrt (+ (* (* y z) z) x)) (sqrt (+ (* (* y z) z) x))) (sqrt (+ (* (* y z) z) x)) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (* z (+ (* (* y z) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ -1 (- x (* (* z y) z))))
5.0ms	z	@	0	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (* (sqrt (* (* z z) y)) (sqrt (* (* z z) y))) (+ x (* (* y z) z)) (sqrt (* (* z z) y)) (* (* z z) y) (* (sqrt (+ (* (* y z) z) x)) (sqrt (+ (* (* y z) z) x))) (sqrt (+ (* (* y z) z) x)) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (* z (+ (* (* y z) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ -1 (- x (* (* z y) z))))
5.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (* (sqrt (* (* z z) y)) (sqrt (* (* z z) y))) (+ x (* (* y z) z)) (sqrt (* (* z z) y)) (* (* z z) y) (* (sqrt (+ (* (* y z) z) x)) (sqrt (+ (* (* y z) z) x))) (sqrt (+ (* (* y z) z) x)) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (* z (+ (* (* y z) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ -1 (- x (* (* z y) z))))
3.0ms	z	@	inf	((/ 1 (/ 1 (+ (* (* y z) z) x))) (/ 1 (+ (* (* y z) z) x)) (+ (* (* y z) z) x) (* y z) (+ x (* (* y z) z)) (* (* y z) z) (* (sqrt (* (* z z) y)) (sqrt (* (* z z) y))) (+ x (* (* y z) z)) (sqrt (* (* z z) y)) (* (* z z) y) (* (sqrt (+ (* (* y z) z) x)) (sqrt (+ (* (* y z) z) x))) (sqrt (+ (* (* y z) z) x)) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (* z (+ (* (* y z) z) x)) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x)) (/ -1 (- x (* (* z y) z))))

simplify189.0ms (2.7%)

Memory

7.7MiB live, 311.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	646	6952
1	2156	6383
2	7390	6310
0	8225	6056

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 528

Calls

Call 1

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

rewrite256.0ms (3.6%)

Memory

5.0MiB live, 293.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	190
0	51	159
1	180	137
2	1528	134
0	8686	134

Stop Event

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

Counts

17 → 1 926

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval825.0ms (11.6%)

Memory: 46.8MiB live, 874.8MiB allocated
Compiler: Compiled 140 576 to 8 183 computations (94.2% saved)

prune210.0ms (3%)

Memory

2.7MiB live, 236.0MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	3 988	3	3 991
Fresh	1	0	1
Picked	2	3	5
Done	0	3	3
Total	3 991	9	4 000

Accuracy

100.0%

Counts

4 000 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.4%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
✓	49.3%	(.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (*.f64 y z) z x)))
▶	37.0%	(.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
▶	30.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z)))
✓	50.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	56.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
▶	27.0%	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z)))

Compiler

Compiled 100 to 70 computations (30% saved)

simplify248.0ms (3.5%)

Memory

-63.9MiB live, 282.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))
cost-diff	0	#s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)))
cost-diff	64	(fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64))
cost-diff	320	(.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 (sqrt.f64 y) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z)))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	(sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	260
0	53	251
1	124	231
2	285	208
3	823	198
4	2302	192
5	4573	192
6	6987	192
0	8086	190

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))
(sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)))
(.f64 (.f64 (.f64 z y) z) (.f64 z y))
(.f64 (.f64 z y) z)
(*.f64 z y)
z
y
(sqrt.f64 z)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z)))
(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
y
z
(.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
#s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))
(.f64 (fma.f64 (.f64 z y) (*.f64 z y) #s(literal 0 binary64)) z)
(fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64))
(*.f64 z y)
z
y
#s(literal 0 binary64)
(*.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)

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

localize123.0ms (1.7%)

Memory

-26.3MiB live, 131.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.4190079942685999	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	0.511526735644289	(.f64 (fma.f64 (.f64 z y) (*.f64 z y) #s(literal 0 binary64)) z)
accuracy	2.8593729358302062	(fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))
accuracy	19.10554145090356	(.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0	(sqrt.f64 y)
accuracy	0.08984375	(*.f64 (sqrt.f64 y) z)
accuracy	0.146816259768442	(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
accuracy	14.69708245093635	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z)))
accuracy	0.06640625	(.f64 (.f64 z y) z)
accuracy	0.08822250976844202	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))
accuracy	10.921407153798713	(sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)))
accuracy	14.69708245093635	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z)))

Samples

30.0ms	137×	0	valid
25.0ms	119×	0	invalid

Compiler

Compiled 208 to 34 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 22.0ms (55.7% of total)

ival-add: 8.0ms (20.3% of total)

ival-sqrt: 5.0ms (12.7% of total)

ival-div: 2.0ms (5.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

28.0MiB live, 67.1MiB allocated

Counts

14 → 396

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (patch (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) (patch (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 y) z) (patch (.f64 (sqrt.f64 y) z) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 z y) (.f64 z y) #s(literal 0 binary64)) (patch (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (patch #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) (patch (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt (pow z 3))) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (patch (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt (pow z 3))) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (patch (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt (pow z 3))) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (patch (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y (sqrt (pow z 3))) (taylor 0 z) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (patch (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) (patch (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) (patch (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) (patch (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) (patch (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (+ (* -1 (/ (* y (pow z 2)) x)) (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2)))) 1)) (taylor inf x) (#s(alt #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (patch #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 (/ (* y (pow z 2)) x)) 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 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ 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 (/ (* (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) (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 x (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y))) (sqrt.f64 z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))) (patch (.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (patch #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (patch #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (patch #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1)) (taylor -inf x) (#s(alt #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (patch #s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) 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
4.0ms	z	@	-inf	((+ x (* (* y z) z)) (* (sqrt (* (* (* z y) z) (* z y))) (sqrt z)) (sqrt (* (* (* z y) z) (* z y))) (* (* z y) z) (* (* (sqrt y) z) (* (sqrt y) z)) (+ x (* (* y z) z)) (* (sqrt y) z) (sqrt y) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (+ (* (* z y) (* z y)) 0) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (+ (* (* (+ (* (* z y) (* z y)) 0) z) z) (* (neg x) x)) (* (+ (* (* z y) (* z y)) 0) z) (/ -1 (- x (* (* z y) z))))
4.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (sqrt (* (* (* z y) z) (* z y))) (sqrt z)) (sqrt (* (* (* z y) z) (* z y))) (* (* z y) z) (* (* (sqrt y) z) (* (sqrt y) z)) (+ x (* (* y z) z)) (* (sqrt y) z) (sqrt y) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (+ (* (* z y) (* z y)) 0) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (+ (* (* (+ (* (* z y) (* z y)) 0) z) z) (* (neg x) x)) (* (+ (* (* z y) (* z y)) 0) z) (/ -1 (- x (* (* z y) z))))
3.0ms	y	@	0	((+ x (* (* y z) z)) (* (sqrt (* (* (* z y) z) (* z y))) (sqrt z)) (sqrt (* (* (* z y) z) (* z y))) (* (* z y) z) (* (* (sqrt y) z) (* (sqrt y) z)) (+ x (* (* y z) z)) (* (sqrt y) z) (sqrt y) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (+ (* (* z y) (* z y)) 0) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (+ (* (* (+ (* (* z y) (* z y)) 0) z) z) (* (neg x) x)) (* (+ (* (* z y) (* z y)) 0) z) (/ -1 (- x (* (* z y) z))))
3.0ms	z	@	inf	((+ x (* (* y z) z)) (* (sqrt (* (* (* z y) z) (* z y))) (sqrt z)) (sqrt (* (* (* z y) z) (* z y))) (* (* z y) z) (* (* (sqrt y) z) (* (sqrt y) z)) (+ x (* (* y z) z)) (* (sqrt y) z) (sqrt y) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (+ (* (* z y) (* z y)) 0) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (+ (* (* (+ (* (* z y) (* z y)) 0) z) z) (* (neg x) x)) (* (+ (* (* z y) (* z y)) 0) z) (/ -1 (- x (* (* z y) z))))
3.0ms	z	@	0	((+ x (* (* y z) z)) (* (sqrt (* (* (* z y) z) (* z y))) (sqrt z)) (sqrt (* (* (* z y) z) (* z y))) (* (* z y) z) (* (* (sqrt y) z) (* (sqrt y) z)) (+ x (* (* y z) z)) (* (sqrt y) z) (sqrt y) (* (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (/ -1 (- x (* (* z y) z)))) (+ (* (* z y) (* z y)) 0) (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (+ (* (* (+ (* (* z y) (* z y)) 0) z) z) (* (neg x) x)) (* (+ (* (* z y) (* z y)) 0) z) (/ -1 (- x (* (* z y) z))))

simplify186.0ms (2.6%)

Memory

-24.6MiB live, 253.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	4361
1	1166	3838
2	4076	3574
0	8850	3469

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 384

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 (sqrt (pow z 3)))
(* y (sqrt (pow z 3)))
(* y (sqrt (pow z 3)))
(* y (sqrt (pow z 3)))
(* 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 (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)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (* x y))))
(+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (+ (* x y) (* (pow y 2) (pow z 2))))))
(+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -1 (* x y)) (+ (* x y) (* (pow y 2) (pow z 2))))))
(* -1 (pow x 2))
(+ (* -1 (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 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(/ -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))))
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(* (sqrt y) z)
(* (sqrt y) z)
(* (sqrt y) z)
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x) (pow z 2)))))
(* (pow z 2) (+ y (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x) (pow z 2))) (* -1 (/ (- (/ (pow x 2) y) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x)) y))) (pow z 4))))))
(* (pow z 2) (+ y (+ (* -1 (/ (* x (- (/ (pow x 2) y) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x)) y)))) (* y (pow z 6)))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x) (pow z 2))) (* -1 (/ (- (/ (pow x 2) y) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x)) y))) (pow z 4)))))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 4))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (/ (* x y) (pow z 2)) (pow y 2))))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (+ (/ (* x y) (pow z 2)) (pow y 2)))))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (+ (/ (* x y) (pow z 2)) (pow y 2)))))
(* (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 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(/ 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))
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(* y (* (pow z 2) (pow (sqrt -1) 2)))
(* y (* (pow z 2) (pow (sqrt -1) 2)))
(* (* y (pow (sqrt -1) 2)) (sqrt (pow z 3)))
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(* (pow z 2) (+ y (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x) (pow z 2))) (* -1 (/ (- (/ (pow x 2) y) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x)) y))) (pow z 4))))))
(* (pow z 2) (+ y (+ (* -1 (/ (* x (- (/ (pow x 2) y) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x)) y)))) (* y (pow z 6)))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x) (pow z 2))) (* -1 (/ (- (/ (pow x 2) y) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) y)) x)) y))) (pow z 4)))))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
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(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 4))
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(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (+ (/ (* x y) (pow z 2)) (pow y 2)))))
(* (pow z 4) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 4))) (+ (/ (* x y) (pow z 2)) (pow y 2)))))
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x
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x
(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
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(* (sqrt y) z)
(* (sqrt y) z)
(sqrt y)
(sqrt y)
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x
(+ x (* y (pow z 2)))
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(+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2)))))
(+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (pow z 2))) (+ (* x (pow z 2)) (* y (pow z 4))))))
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(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
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(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(/ -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)))
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(* y (+ (/ x y) (pow z 2)))
(* y (pow z 2))
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(* y (pow z 2))
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(* y (sqrt (pow z 3)))
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(* y (pow z 2))
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(* y (+ (/ x y) (pow z 2)))
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(* (sqrt y) z)
(* (sqrt y) z)
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(* (sqrt y) z)
(sqrt y)
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(* y (pow z 2))
(* y (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) x) y)) (pow z 2)))
(* y (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) x) y)) (+ (* -1 (/ (- (/ (pow x 2) (pow z 2)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) x)) (pow z 2)))) (pow y 2))) (pow z 2))))
(* y (+ (* -1 (/ (* x (- (/ (pow x 2) (pow z 2)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) x)) (pow z 2))))) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) x) y)) (+ (* -1 (/ (- (/ (pow x 2) (pow z 2)) (* -1 (/ (* x (- (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) (pow z 2))) x)) (pow z 2)))) (pow y 2))) (pow z 2)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 4))
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (/ (* x (pow z 2)) y) (pow z 4))))
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (* x (pow z 2)) y) (pow z 4)))))
(* (pow y 2) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (* x (pow z 2)) y) (pow z 4)))))
(* (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 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(/ 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)
(* y (pow z 2))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
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(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
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(* -1 (* y (* (pow z 2) (pow (sqrt -1) 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)))))
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(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
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(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* x (pow z 2))) y)) (pow z 4)))
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(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* x (pow z 2)) (/ (pow x 2) y))) y)) (pow z 4)))
(* (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 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(* (pow y 2) (pow z 3))
(/ 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))
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(+ x (* y (pow z 2)))
(+ x (* y (pow z 2)))
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(+ (* -1 (* x (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))) 1))) (* y (pow z 2)))
(+ (* x (+ (* -1 (* x (- (/ 1 (* y (pow z 2))) (* -1 (/ (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))) 1) (* y (pow z 2))))))) (* -1 (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))) 1)))) (* y (pow z 2)))
(+ (* x (+ (* -1 (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))) 1)) (* x (+ (* -1 (- (/ 1 (* y (pow z 2))) (* -1 (/ (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))) 1) (* y (pow z 2)))))) (* -1 (/ (* x (- (/ 1 (* y (pow z 2))) (* -1 (/ (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (* y (pow z 2)))) 1) (* y (pow z 2)))))) (* y (pow z 2)))))))) (* y (pow z 2)))
(* (pow y 2) (pow z 4))
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(+ (* x (+ (* -1 x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))) (* (pow y 2) (pow z 4)))
(+ (* x (+ (* -1 x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2))))) (* (pow y 2) (pow z 4)))
(* (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)))
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(+ (* 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
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(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) 1))
(* (pow x 2) (- (+ (* -1 (/ (* y (pow z 2)) x)) (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2)))) 1))
(* (pow x 2) (- (+ (* -1 (/ (* y (pow z 2)) x)) (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2)))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (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)))
x
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
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(* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (pow z 2))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2)))) x)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (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 z) y x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* 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 (sqrt (pow z 3)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) y)
(* y (sqrt (pow z 3)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) y)
(* y (sqrt (pow z 3)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) y)
(* y (sqrt (pow z 3)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
x
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
x
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
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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 (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 (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 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 z z) y) x)) x)
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(* -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))
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rewrite178.0ms (2.5%)

Memory

17.6MiB live, 290.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	216
0	53	212
1	219	157
2	1492	135
0	8212	133

Stop Event

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

Counts

14 → 1 091

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z))
(sqrt.f64 (.f64 (.f64 (.f64 z y) z) (.f64 z y)))
(.f64 (.f64 z y) z)
(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z)))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
(.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
(fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64))
#s(approx (+ (* (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))
(.f64 (fma.f64 (.f64 z y) (*.f64 z y) #s(literal 0 binary64)) z)
(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))

Outputs
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eval460.0ms (6.5%)

Memory: 37.4MiB live, 423.0MiB allocated
Compiler: Compiled 56 409 to 5 534 computations (90.2% saved)

prune122.0ms (1.7%)

Memory

-5.0MiB live, 119.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 597	1	1 598
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	1 598	9	1 607

Accuracy

100.0%

Counts

1 607 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.4%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
✓	49.3%	(.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (*.f64 y z) z x)))
	12.3%	(.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) #s(approx (/ -1 (- x (* (* z y) z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))))
✓	30.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z)))
✓	50.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	56.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
✓	27.0%	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z)))

Compiler

Compiled 348 to 135 computations (61.2% saved)

regimes72.0ms (1%)

Memory

-18.4MiB live, 57.9MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 z z) y x)
(+.f64 x (.f64 (.f64 y z) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) z x)))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 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 (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) z) (*.f64 z y))) (sqrt.f64 z)))
(.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (*.f64 y z) z x)))
(.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) #s(approx (/ -1 (- x (* (* z y) z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))))
(.f64 #s(approx (+ ( (* y z) (* z (+ (* (* y z) z) x))) (* (neg x) (+ (* (* y z) z) x))) (fma.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z y) #s(literal 0 binary64)) z) z (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
(.f64 (fma.f64 (.f64 y z) (.f64 z (fma.f64 (.f64 y z) z x)) (.f64 (neg.f64 x) (fma.f64 (.f64 y z) z x))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
(.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 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)

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

Calls

5 calls:

32.0ms	(.f64 (.f64 y z) z)
23.0ms	y
5.0ms	x
5.0ms	z
5.0ms	(+.f64 x (.f64 (.f64 y z) z))

Results

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

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes8.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Accuracy

Total -4.2b remaining (-15.2%)

Threshold costs -4.2b (-15.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
56.9%	1	`x`
56.9%	1	`y`
56.9%	1	`z`
56.9%	1	`(+.f64 x (.f64 (.f64 y z) z))`
56.9%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify53.0ms (0.7%)

Memory

1.8MiB live, 44.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	13	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness565.0ms (8%)

Memory

-49.4MiB live, 363.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	112
0	39	91
1	155	90
2	887	90
0	8697	90
0	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	14
0	28	410
1	87	410
2	237	410
3	702	410
4	2129	410
5	4262	410
6	6911	410
0	8031	383

Stop Event

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

preprocess47.0ms (0.7%)

Memory: 16.2MiB live, 55.8MiB allocated
Remove: (abs z)
Compiler: Compiled 62 to 46 computations (25.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (15.8%)

explain101.0ms (1.4%)

preprocess42.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize16.0ms (0.2%)

series8.0ms (0.1%)

simplify186.0ms (2.6%)

rewrite309.0ms (4.3%)

eval33.0ms (0.5%)

prune17.0ms (0.2%)

simplify166.0ms (2.3%)

localize126.0ms (1.8%)

series84.0ms (1.2%)

simplify255.0ms (3.6%)

rewrite237.0ms (3.3%)

eval451.0ms (6.3%)

prune88.0ms (1.2%)

simplify143.0ms (2%)

localize81.0ms (1.1%)

series57.0ms (0.8%)

simplify189.0ms (2.7%)

rewrite256.0ms (3.6%)

eval825.0ms (11.6%)

prune210.0ms (3%)

simplify248.0ms (3.5%)

localize123.0ms (1.7%)

series38.0ms (0.5%)

simplify186.0ms (2.6%)

rewrite178.0ms (2.5%)

eval460.0ms (6.5%)

prune122.0ms (1.7%)

regimes72.0ms (1%)

regimes8.0ms (0.1%)

simplify53.0ms (0.7%)

soundness565.0ms (8%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling