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

0.6MiB live, 0.6MiB 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)

sample732.0ms (9.3%)

Memory

-5.7MiB live, 1 105.5MiB allocated

Samples

467.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-mult: 199.0ms (72.4% of total)

ival-add: 67.0ms (24.4% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain68.0ms (0.9%)

Memory

-11.8MiB live, 145.5MiB 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

25.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (77% of total)

ival-add: 2.0ms (17.1% of total)

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

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

preprocess30.0ms (0.4%)

Memory

12.2MiB live, 51.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.7%)

Memory

-16.3MiB live, 22.9MiB 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	0.125	(.f64 (.f64 y z) z)

Samples

49.0ms

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 (65.9% of total)

ival-add: 1.0ms (22% of total)

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

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

series8.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB 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))

simplify85.0ms (1.1%)

Memory

12.9MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

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

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

rewrite256.0ms (3.3%)

Memory

-15.7MiB live, 190.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 172

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z y) z) (fma.f64 (.f64 z y) z x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 (.f64 z y) z) x)) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (*.f64 z y) z))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 (.f64 z y) z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 z y) z)) (fma.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 z y) z) (neg.f64 (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (*.f64 z y) z) x))))
(.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 z y) z x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (.f64 z y) z)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (.f64 (*.f64 z y) z) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (*.f64 z y) z)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))))
(.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z x))
(.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))))))
(.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 3 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z))))))
(.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (fma.f64 (.f64 z y) z x) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) z x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))) #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (.f64 (*.f64 z y) z)))
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(/.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))))
(neg.f64 (neg.f64 (fma.f64 (*.f64 z y) z x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 z y) z))
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
(fma.f64 (exp.f64 (log.f64 y)) (*.f64 z z) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 z)) x)
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 z y))) x)
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 1 binary64)) z x)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (*.f64 z z) x)
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z y) z) (fma.f64 (.f64 z y) z x) (.f64 x x)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x))) (fma.f64 (.f64 z y) z x) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 z) z) y) x)
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (*.f64 z z) (exp.f64 (log.f64 y)) x)
(fma.f64 (*.f64 z z) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 z z) y x)
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (.f64 z y) z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (*.f64 z y) z x)
(fma.f64 z (pow.f64 (*.f64 z y) #s(literal 1 binary64)) x)
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (*.f64 z z) x)
(fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))))) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (-.f64 x (.f64 (.f64 z y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 z y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 (.f64 z y) z))) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))))
(-.f64 x (.f64 (.f64 (neg.f64 z) z) y))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(+.f64 (.f64 (.f64 z y) z) x)
(+.f64 x (.f64 (.f64 z y) z))
(.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 y)) (.f64 z z))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) z)
(.f64 (pow.f64 y #s(literal 1 binary64)) (.f64 z z))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 z) z) y))
(.f64 (.f64 z z) (exp.f64 (log.f64 y)))
(.f64 (.f64 z z) (pow.f64 y #s(literal 1 binary64)))
(.f64 (.f64 z z) y)
(.f64 (.f64 z y) z)
(.f64 z (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 z (.f64 z y))
(.f64 y (.f64 z z))
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 z) z) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 z) z) y))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
(*.f64 z y)
(*.f64 y z)

eval48.0ms (0.6%)

Memory: -3.0MiB live, 34.8MiB allocated
Compiler: Compiled 6 489 to 492 computations (92.4% saved)

prune85.0ms (1.1%)

Memory

-10.7MiB live, 71.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	248	4	252
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	249	4	253

Accuracy

100.0%

Counts

253 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.6%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	34.8%	(.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))))
▶	46.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 50 to 32 computations (36% saved)

simplify148.0ms (1.9%)

Memory

-9.3MiB live, 149.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

7 926×	`lower-fma.f32`
7 920×	`lower-fma.f64`
4 018×	`lower-*.f32`
4 006×	`lower-*.f64`
1 574×	`lower-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	143
0	38	163
1	63	159
2	126	156
3	308	153
4	920	153
5	1646	114
6	5549	114
7	7635	114
0	8042	114

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (0.8%)

Memory

33.9MiB live, 72.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.0546875	(.f64 (.f64 z y) z)
accuracy	0.0703125	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
accuracy	8.321997817881407	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
accuracy	0	(*.f64 z y)
accuracy	0.015625	(fma.f64 (*.f64 z y) z x)
accuracy	0.07421875	(pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))
accuracy	0.09112105927695632	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	2.492183371660412	(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
accuracy	18.763662571463062	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0	(*.f64 z z)
accuracy	5.093567396170931	(.f64 (.f64 z z) y)
accuracy	16.981070484228372	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Samples

28.0ms	123×	0	invalid
21.0ms	133×	0	valid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 23.0ms (66.8% of total)

ival-add: 4.0ms (11.6% of total)

ival-div: 2.0ms (5.8% of total)

ival-sqrt: 2.0ms (5.8% of total)

ival-pow2: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series133.0ms (1.7%)

Memory

-32.2MiB live, 48.3MiB allocated

Counts

13 → 360

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	z	@	0	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (+ (* (* z y) z) x) (* z y) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
4.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (+ (* (* z y) z) x) (* z y) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
4.0ms	x	@	-inf	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (+ (* (* z y) z) x) (* z y) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
3.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (+ (* (* z y) z) x) (* z y) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))
3.0ms	y	@	inf	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (+ (* (* z y) z) x) (* z y) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (/ -1 (- x (* (* z y) z))))

simplify309.0ms (3.9%)

Memory

28.6MiB live, 184.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 106×	`lower-fma.f64`
13 106×	`lower-fma.f32`
6 592×	`lower-*.f64`
6 592×	`lower-*.f32`
2 882×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	2993
1	643	2947
2	2040	2912
0	8204	2799

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 344

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

rewrite221.0ms (2.8%)

Memory

16.9MiB live, 398.0MiB allocated

Rules

8 460×	`lower-fma.f32`
8 454×	`lower-fma.f64`
4 348×	`lower-*.f32`
4 336×	`lower-*.f64`
3 124×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	111
0	38	131
1	150	124
2	943	78
0	8809	78

Stop Event

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

Counts

13 → 1 417

Calls

Call 1

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

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

eval344.0ms (4.4%)

Memory: 1.1MiB live, 714.3MiB allocated
Compiler: Compiled 55 956 to 2 876 computations (94.9% saved)

prune458.0ms (5.8%)

Memory

-1.3MiB live, 453.8MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 263	5	2 268
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	2 265	7	2 272

Accuracy

100.0%

Counts

2 272 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	34.9%	(.f64 (fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
▶	35.1%	(.f64 (.f64 (fma.f64 z (.f64 z y) x) (-.f64 (.f64 z (.f64 z y)) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (*.f64 z y) z))))
▶	25.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓	46.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	53.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
▶	23.5%	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 z y))))))

Compiler

Compiled 170 to 111 computations (34.7% saved)

simplify223.0ms (2.8%)

Memory

3.4MiB live, 198.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 z (.f64 z y))
cost-diff	0	(fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) z (*.f64 (neg.f64 x) x))
cost-diff	9088	(.f64 (fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(-.f64 (.f64 z (.f64 z y)) x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 z (*.f64 z y) x)
cost-diff	9088	(.f64 (.f64 (fma.f64 z (.f64 z y) x) (-.f64 (.f64 z (.f64 z y)) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (*.f64 z y) z))))
cost-diff	0	(sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 z y)))))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 z y))))))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 z (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
cost-diff	1600	(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Rules

19 246×	`lower-fma.f32`
19 242×	`lower-fma.f64`
5 064×	`lower-*.f32`
5 042×	`lower-*.f64`
1 382×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	294
0	53	299
1	107	299
2	219	296
3	715	278
4	2851	227
5	5659	227
0	8508	227

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (1.1%)

Memory

-1.2MiB live, 159.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (.f64 z (.f64 z y)) (.f64 z y))
accuracy	0.09112105927695632	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	2.511714621660412	(fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) z (*.f64 (neg.f64 x) x))
accuracy	18.763662571463062	(.f64 (fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) z (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0.0546875	(.f64 (.f64 z y) z)
accuracy	0.0546875	(.f64 z (.f64 z y))
accuracy	0.09112105927695632	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	18.763662571463062	(.f64 (.f64 (fma.f64 z (.f64 z y) x) (-.f64 (.f64 z (.f64 z y)) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (*.f64 z y) z))))
accuracy	0.08984375	(.f64 (.f64 z y) (.f64 z (.f64 z y)))
accuracy	0.09603500976844202	(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 z y)))))
accuracy	7.318577165198884	(sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))
accuracy	16.981070484228372	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 z y))))))
accuracy	0	(sqrt.f64 y)
accuracy	0.109375	(*.f64 z (sqrt.f64 y))
accuracy	0.125	(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
accuracy	16.981070484228372	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
accuracy	0	(*.f64 z y)
accuracy	0.0546875	(.f64 (.f64 z y) z)
accuracy	16.981070484228372	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Samples

38.0ms	123×	0	invalid
30.0ms	133×	0	valid

Compiler

Compiled 271 to 31 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 26.0ms (52.6% of total)

ival-sqrt: 8.0ms (16.2% of total)

ival-neg: 8.0ms (16.2% of total)

ival-add: 3.0ms (6.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory

-8.8MiB live, 104.4MiB allocated

Counts

20 → 564

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) z) (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y))) (patch (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y))) (patch (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y))) (patch (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y))) (patch (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y)))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y)))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y)))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow z 2))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y)))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) z) (taylor 0 z) (#s(alt (.f64 z (sqrt.f64 y)) (patch (.f64 z (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) z) (taylor 0 z) (#s(alt (.f64 z (sqrt.f64 y)) (patch (.f64 z (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) z) (taylor 0 z) (#s(alt (.f64 z (sqrt.f64 y)) (patch (.f64 z (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) z) (taylor 0 z) (#s(alt (.f64 z (sqrt.f64 y)) (patch (.f64 z (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y)))))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 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 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y)))))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 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 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y)))))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 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 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y)))))) (patch #s(approx (+ x ( (* y z) z)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 z y)))))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))) (patch (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))) (patch (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))) (patch (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor 0 z) (#s(alt (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))) (patch (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ())
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ())
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ())
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ())
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#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
8.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt z) (sqrt (* (* z y) (* z (* z y))))) (sqrt z) (sqrt (* (* z y) (* z (* z y)))) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (+ (* z (* z y)) x) (- (* z (* z y)) x) (* (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (* z (* z y)) (* (* z y) (* z (* z y))) (/ -1 (- x (* (* z y) z))) (* (* z (* z y)) (* z y)))
6.0ms	y	@	inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt z) (sqrt (* (* z y) (* z (* z y))))) (sqrt z) (sqrt (* (* z y) (* z (* z y)))) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (+ (* z (* z y)) x) (- (* z (* z y)) x) (* (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (* z (* z y)) (* (* z y) (* z (* z y))) (/ -1 (- x (* (* z y) z))) (* (* z (* z y)) (* z y)))
5.0ms	z	@	-inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt z) (sqrt (* (* z y) (* z (* z y))))) (sqrt z) (sqrt (* (* z y) (* z (* z y)))) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (+ (* z (* z y)) x) (- (* z (* z y)) x) (* (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (* z (* z y)) (* (* z y) (* z (* z y))) (/ -1 (- x (* (* z y) z))) (* (* z (* z y)) (* z y)))
5.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt z) (sqrt (* (* z y) (* z (* z y))))) (sqrt z) (sqrt (* (* z y) (* z (* z y)))) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (+ (* z (* z y)) x) (- (* z (* z y)) x) (* (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (* z (* z y)) (* (* z y) (* z (* z y))) (/ -1 (- x (* (* z y) z))) (* (* z (* z y)) (* z y)))
3.0ms	z	@	0	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt z) (sqrt (* (* z y) (* z (* z y))))) (sqrt z) (sqrt (* (* z y) (* z (* z y)))) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (+ (* z (* z y)) x) (- (* z (* z y)) x) (* (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (/ -1 (- x (* (* z y) z)))) (+ (* (* (* z (* z y)) (* z y)) z) (* (neg x) x)) (* z (* z y)) (* (* z y) (* z (* z y))) (/ -1 (- x (* (* z y) z))) (* (* z (* z y)) (* z y)))

simplify204.0ms (2.6%)

Memory

19.9MiB live, 168.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 366×	`lower-fma.f64`
10 366×	`lower-fma.f32`
3 904×	`lower-*.f64`
3 904×	`lower-*.f32`
2 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	313	4943
1	1007	4668
2	3456	4454
0	8742	4288

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 540

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

rewrite360.0ms (4.6%)

Memory

15.1MiB live, 570.5MiB allocated

Rules

10 238×	`lower-fma.f32`
10 234×	`lower-fma.f64`
4 874×	`lower-*.f32`
4 852×	`lower-*.f64`
3 606×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	208
0	53	198
1	188	176
2	1085	131
0	8678	131

Stop Event

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

Counts

20 → 2 398

Calls

Call 1

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

Outputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
(.f64 (neg.f64 (.f64 (neg.f64 z) z)) y)
(.f64 (neg.f64 (neg.f64 z)) (.f64 z y))
(.f64 (neg.f64 (neg.f64 y)) (.f64 z z))
(.f64 (neg.f64 (.f64 (neg.f64 z) y)) z)
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (.f64 (pow.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64))) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (.f64 (*.f64 z z) (sqrt.f64 y))) (sqrt.f64 y))
(.f64 (fabs.f64 (.f64 (*.f64 (sqrt.f64 y) z) z)) (sqrt.f64 y))
(.f64 (fabs.f64 (.f64 z z)) y)
(.f64 (sqrt.f64 (.f64 z (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 4 binary64))) y)
(.f64 (sqrt.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64))) (sqrt.f64 y))
(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 y) z))) (exp.f64 (log.f64 (*.f64 (sqrt.f64 y) z))))
(.f64 (pow.f64 (.f64 z (*.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) y)
(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(.f64 (fabs.f64 z) (.f64 z y))
(.f64 (.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (neg.f64 z) z) (neg.f64 y))
(.f64 (neg.f64 z) (.f64 (neg.f64 z) y))
(.f64 (neg.f64 y) (.f64 (neg.f64 z) z))
(.f64 (sqrt.f64 (.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (*.f64 z y)))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))
(.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y))
(.f64 (.f64 (neg.f64 z) y) (neg.f64 z))
(.f64 (.f64 z z) (neg.f64 (neg.f64 y)))
(.f64 (.f64 z z) y)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 z) z) y))
(.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (*.f64 z y)))
(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
(.f64 (sqrt.f64 y) (fabs.f64 (.f64 (*.f64 (sqrt.f64 y) z) z)))
(.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64))))
(.f64 (sqrt.f64 y) (pow.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) z) z))
(.f64 (.f64 z y) (neg.f64 (neg.f64 z)))
(.f64 (.f64 z y) (fabs.f64 z))
(.f64 (.f64 z y) z)
(.f64 z (neg.f64 (.f64 (neg.f64 z) y)))
(.f64 z (.f64 z y))
(.f64 y (neg.f64 (.f64 (neg.f64 z) z)))
(.f64 y (fabs.f64 (.f64 z z)))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 y (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(.f64 y (.f64 z z))
(pow.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 y) z))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (*.f64 z y) z) #s(literal 0 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 z y) z) #s(literal 0 binary64)))))
(neg.f64 (.f64 (.f64 (neg.f64 z) z) y))
(fma.f64 (neg.f64 (*.f64 (neg.f64 z) z)) y #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 z)) (*.f64 z y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) (*.f64 z z) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (neg.f64 z) y)) z #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (.f64 (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64))) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 z z) (sqrt.f64 y))) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 (sqrt.f64 y) z) z)) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 z z)) y #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 z (.f64 y (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 z #s(literal 4 binary64))) y #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64))) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 y) z))) (exp.f64 (log.f64 (.f64 (sqrt.f64 y) z))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 z (.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) y #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (fabs.f64 z) (*.f64 z y) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 z z) (sqrt.f64 y)) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) z) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 z) z) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (.f64 z y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) z) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 z) y) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (neg.f64 (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) y #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 z y) z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 z) z) y) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 z) (.f64 z y)) (sqrt.f64 z) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (.f64 z y)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (fabs.f64 (.f64 (.f64 (sqrt.f64 y) z) z)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (.f64 (.f64 (sqrt.f64 y) z) z) #s(literal 0 binary64))
(fma.f64 (*.f64 z y) (neg.f64 (neg.f64 z)) #s(literal 0 binary64))
(fma.f64 (*.f64 z y) (fabs.f64 z) #s(literal 0 binary64))
(fma.f64 (*.f64 z y) z #s(literal 0 binary64))
(fma.f64 z (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal 0 binary64))
(fma.f64 z (*.f64 z y) #s(literal 0 binary64))
(fma.f64 y (neg.f64 (*.f64 (neg.f64 z) z)) #s(literal 0 binary64))
(fma.f64 y (fabs.f64 (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 y (sqrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 y (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 z z) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 z) z) y))
(fabs.f64 (.f64 (.f64 (neg.f64 z) z) y))
(fabs.f64 (.f64 (.f64 z y) z))
(exp.f64 (fma.f64 (log.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 z y) z)))
(+.f64 (.f64 (.f64 z y) z) #s(literal 0 binary64))
(.f64 (sqrt.f64 (.f64 (*.f64 z y) y)) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 y (*.f64 z y))) (sqrt.f64 z))
(.f64 (pow.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 z y) y) #s(literal 1/2 binary64)) (sqrt.f64 z))
(.f64 (pow.f64 (.f64 y (*.f64 z y)) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (fabs.f64 z) y)
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 y (*.f64 z y))))
(.f64 (sqrt.f64 z) (pow.f64 (.f64 y (*.f64 z y)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z))
(*.f64 z y)
(*.f64 y (fabs.f64 z))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 z) z)) y)
(.f64 (neg.f64 (neg.f64 z)) (.f64 z y))
(.f64 (neg.f64 (neg.f64 y)) (.f64 z z))
(.f64 (neg.f64 (.f64 (neg.f64 z) y)) z)
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (.f64 (pow.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64))) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (.f64 (*.f64 z z) (sqrt.f64 y))) (sqrt.f64 y))
(.f64 (fabs.f64 (.f64 (*.f64 (sqrt.f64 y) z) z)) (sqrt.f64 y))
(.f64 (fabs.f64 (.f64 z z)) y)
(.f64 (sqrt.f64 (.f64 z (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 4 binary64))) y)
(.f64 (sqrt.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64))) (sqrt.f64 y))
(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 y) z))) (exp.f64 (log.f64 (*.f64 (sqrt.f64 y) z))))
(.f64 (pow.f64 (.f64 z (*.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) y)
(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(.f64 (fabs.f64 z) (.f64 z y))
(.f64 (.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (neg.f64 z) z) (neg.f64 y))
(.f64 (neg.f64 z) (.f64 (neg.f64 z) y))
(.f64 (neg.f64 y) (.f64 (neg.f64 z) z))
(.f64 (sqrt.f64 (.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (*.f64 z y)))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))
(.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y))
(.f64 (.f64 (neg.f64 z) y) (neg.f64 z))
(.f64 (.f64 z z) (neg.f64 (neg.f64 y)))
(.f64 (.f64 z z) y)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 z) z) y))
(.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (*.f64 z y)))
(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
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eval816.0ms (10.4%)

Memory: -21.0MiB live, 1 004.9MiB allocated
Compiler: Compiled 126 758 to 7 024 computations (94.5% saved)

prune665.0ms (8.5%)

Memory

-35.3MiB live, 621.6MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	3 991	3	3 994
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	3 994	7	4 001

Accuracy

100.0%

Counts

4 001 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.4%	(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z y) z))))
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	12.4%	(.f64 (.f64 (fma.f64 z (.f64 z y) x) (-.f64 (.f64 z (.f64 z y)) x)) #s(approx (/ -1 (- x ( (* z y) z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))))
▶	53.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)))
✓	25.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓	46.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	53.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 91 to 62 computations (31.9% saved)

simplify197.0ms (2.5%)

Memory

-4.0MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z)
cost-diff	320	(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z y) z))))
cost-diff	704	(/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1 binary64))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 z (*.f64 z y) x)
cost-diff	0	(.f64 (fma.f64 z (.f64 z y) x) (-.f64 (.f64 z (.f64 z y)) x))
cost-diff	0	(.f64 (.f64 (fma.f64 z (.f64 z y) x) (-.f64 (.f64 z (.f64 z y)) x)) #s(approx (/ -1 (- x ( (* z y) z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(.f64 (sqrt.f64 z) (.f64 z y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))

Rules

10 334×	`lower-fma.f32`
10 330×	`lower-fma.f64`
4 446×	`lower-*.f32`
4 424×	`lower-*.f64`
1 930×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	243
0	60	250
1	108	250
2	204	230
3	507	230
4	1970	229
5	4751	229
0	8268	228

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (2.4%)

Memory

4.3MiB live, 168.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	1.6697108125729576	(.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z)
accuracy	6.953812930542582	(/.f64 z (-.f64 (.f64 (.f64 z y) z) x))
accuracy	12.527283411094144	(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z y) z))))
accuracy	23.746949811029776	(/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z y) z)))
accuracy	0.3873438845925906	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
accuracy	8.3980271258236	(.f64 (.f64 z z) y)
accuracy	29.71471267246941	#s(approx (/ -1 (- x (* (* z y) z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)))
accuracy	39.79794810764824	(.f64 (.f64 (fma.f64 z (.f64 z y) x) (-.f64 (.f64 z (.f64 z y)) x)) #s(approx (/ -1 (- x ( (* z y) z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))))
accuracy	0	(sqrt.f64 z)
accuracy	0.166347509768442	(.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))
accuracy	0.1953125	(.f64 (sqrt.f64 z) (.f64 z y))
accuracy	29.507915971104165	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)))

Samples

151.0ms

256×

valid

Compiler

Compiled 223 to 35 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 56.0ms (41.3% of total)

ival-sub: 51.0ms (37.6% of total)

ival-div: 20.0ms (14.8% of total)

ival-add: 3.0ms (2.2% of total)

ival-sqrt: 2.0ms (1.5% of total)

ival-pow2: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.8%)

Memory

18.6MiB live, 56.9MiB allocated

Counts

17 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	((* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (+ (* z (* z y)) x) (* z y) (/ (* (pow (* z y) 2) z) 1) (+ (* (/ (* (pow (* z y) 2) z) 1) (/ z (- (* (* z y) z) x))) (/ (* x x) (- x (* (* z y) z)))) (* (pow (* z y) 2) z) (pow (* z y) 2) (/ -1 (- x (* (* z y) z))) (* (* z z) y) (/ 1 (* (* z z) y)) (/ (* x x) (- x (* (* z y) z))) (/ z (- (* (* z y) z) x)))
4.0ms	z	@	-inf	((* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (+ (* z (* z y)) x) (* z y) (/ (* (pow (* z y) 2) z) 1) (+ (* (/ (* (pow (* z y) 2) z) 1) (/ z (- (* (* z y) z) x))) (/ (* x x) (- x (* (* z y) z)))) (* (pow (* z y) 2) z) (pow (* z y) 2) (/ -1 (- x (* (* z y) z))) (* (* z z) y) (/ 1 (* (* z z) y)) (/ (* x x) (- x (* (* z y) z))) (/ z (- (* (* z y) z) x)))
4.0ms	y	@	-inf	((* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (+ (* z (* z y)) x) (* z y) (/ (* (pow (* z y) 2) z) 1) (+ (* (/ (* (pow (* z y) 2) z) 1) (/ z (- (* (* z y) z) x))) (/ (* x x) (- x (* (* z y) z)))) (* (pow (* z y) 2) z) (pow (* z y) 2) (/ -1 (- x (* (* z y) z))) (* (* z z) y) (/ 1 (* (* z z) y)) (/ (* x x) (- x (* (* z y) z))) (/ z (- (* (* z y) z) x)))
4.0ms	z	@	0	((* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (+ (* z (* z y)) x) (* z y) (/ (* (pow (* z y) 2) z) 1) (+ (* (/ (* (pow (* z y) 2) z) 1) (/ z (- (* (* z y) z) x))) (/ (* x x) (- x (* (* z y) z)))) (* (pow (* z y) 2) z) (pow (* z y) 2) (/ -1 (- x (* (* z y) z))) (* (* z z) y) (/ 1 (* (* z z) y)) (/ (* x x) (- x (* (* z y) z))) (/ z (- (* (* z y) z) x)))
4.0ms	z	@	inf	((* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (* (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (/ -1 (- x (* (* z y) z)))) (* (+ (* z (* z y)) x) (- (* z (* z y)) x)) (+ (* z (* z y)) x) (* z y) (/ (* (pow (* z y) 2) z) 1) (+ (* (/ (* (pow (* z y) 2) z) 1) (/ z (- (* (* z y) z) x))) (/ (* x x) (- x (* (* z y) z)))) (* (pow (* z y) 2) z) (pow (* z y) 2) (/ -1 (- x (* (* z y) z))) (* (* z z) y) (/ 1 (* (* z z) y)) (/ (* x x) (- x (* (* z y) z))) (/ z (- (* (* z y) z) x)))

simplify214.0ms (2.7%)

Memory

-25.5MiB live, 174.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 192×	`lower-fma.f64`
8 192×	`lower-fma.f32`
4 780×	`lower-*.f64`
4 780×	`lower-*.f32`
2 524×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	725	6058
1	2381	5367
0	8332	5164

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 472

Calls

Call 1

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

rewrite226.0ms (2.9%)

Memory

26.4MiB live, 256.8MiB allocated

Rules

4 842×	`lower-/.f32`
4 834×	`lower-/.f64`
4 712×	`lower-*.f32`
4 690×	`lower-*.f64`
2 796×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	189
0	60	188
1	229	171
2	1480	162
0	8184	161

Stop Event

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

Counts

17 → 867

Calls

Call 1

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

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

eval617.0ms (7.8%)

Memory: -8.6MiB live, 373.8MiB allocated
Compiler: Compiled 54 969 to 3 754 computations (93.2% saved)

prune259.0ms (3.3%)

Memory

-19.0MiB live, 272.4MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 529	4	1 533
Fresh	0	0	0
Picked	2	1	3
Done	1	3	4
Total	1 532	8	1 540

Accuracy

100.0%

Counts

1 540 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.4%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y z) z) y) z) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z y) z))))
✓	99.9%	(fma.f64 (*.f64 z y) z x)
	11.3%	(.f64 (.f64 #s(approx (+ (* z (* z y)) x) (.f64 (.f64 z z) y)) (-.f64 (.f64 z (.f64 z y)) x)) #s(approx (/ -1 (- x (* (* z y) z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))))
	87.5%	#s(approx (+ (* (/ (* (pow (* z y) 2) z) 1) (/ z (- (* (* z y) z) x))) (/ (* x x) (- x (* (* z y) z)))) (.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z x)) y #s(literal 1 binary64))) (neg.f64 x)))
	53.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
✓	53.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)))
✓	46.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	53.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 383 to 149 computations (61.1% saved)

regimes92.0ms (1.2%)

Memory

-13.0MiB live, 67.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

37.0ms	(.f64 (.f64 y z) z)
32.0ms	y
8.0ms	z
8.0ms	(+.f64 x (.f64 (.f64 y z) z))
5.0ms	x

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)

regimes35.0ms (0.5%)

Memory

-18.2MiB live, 20.8MiB allocated

Accuracy

Total -4.4b remaining (-15%)

Threshold costs -4.4b (-15%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

29.0ms	x
2.0ms	z
1.0ms	y
1.0ms	(+.f64 x (.f64 (.f64 y z) z))
1.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`y`
53.8%	1	`z`
53.8%	1	`(+.f64 x (.f64 (.f64 y z) z))`
53.8%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify65.0ms (0.8%)

Memory

4.1MiB live, 43.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	12	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness430.0ms (5.5%)

Memory

5.8MiB live, 279.8MiB allocated

Rules

13 740×	`lower-fma.f64`
13 740×	`lower-fma.f32`
8 460×	`lower-fma.f32`
8 454×	`lower-fma.f64`
4 866×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	111
0	38	131
1	150	124
2	943	78
0	8809	78
0	28	410
1	87	410
2	237	410
3	702	410
4	2129	410
5	4262	410
6	6911	410
0	8031	383
0	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	14

Stop Event

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

preprocess24.0ms (0.3%)

Memory: 12.1MiB live, 88.6MiB allocated
Remove: (abs z)
Compiler: Compiled 74 to 56 computations (24.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample732.0ms (9.3%)

explain68.0ms (0.9%)

preprocess30.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize54.0ms (0.7%)

series8.0ms (0.1%)

simplify85.0ms (1.1%)

rewrite256.0ms (3.3%)

eval48.0ms (0.6%)

prune85.0ms (1.1%)

simplify148.0ms (1.9%)

localize63.0ms (0.8%)

series133.0ms (1.7%)

simplify309.0ms (3.9%)

rewrite221.0ms (2.8%)

eval344.0ms (4.4%)

prune458.0ms (5.8%)

simplify223.0ms (2.8%)

localize90.0ms (1.1%)

series54.0ms (0.7%)

simplify204.0ms (2.6%)

rewrite360.0ms (4.6%)

eval816.0ms (10.4%)

prune665.0ms (8.5%)

simplify197.0ms (2.5%)

localize192.0ms (2.4%)

series61.0ms (0.8%)

simplify214.0ms (2.7%)

rewrite226.0ms (2.9%)

eval617.0ms (7.8%)

prune259.0ms (3.3%)

regimes92.0ms (1.2%)

regimes35.0ms (0.5%)

simplify65.0ms (0.8%)

soundness430.0ms (5.5%)

preprocess24.0ms (0.3%)

end0.0ms (0%)

Profiling