Metrics for Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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 11 to 10 computations (9.1% saved)

sample1.8s (20.1%)

Memory

-68.6MiB live, 2 105.1MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 675.0ms

ival-sin: 266.0ms (39.4% of total)

ival-cos: 201.0ms (29.8% of total)

ival-mult: 160.0ms (23.7% of total)

ival-add: 39.0ms (5.8% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain163.0ms (1.9%)

Memory

-20.6MiB live, 297.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
-	-	`(sin.f64 y)`
-	-	`(*.f64 z (cos.f64 y))`
-	-	`y`
-	-	`z`
-	-	`(*.f64 x (sin.f64 y))`
-	-	`(cos.f64 y)`
-	-	`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

95.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-sin: 20.0ms (48.5% of total)

ival-cos: 12.0ms (29.1% of total)

ival-mult: 7.0ms (17% of total)

ival-add: 2.0ms (4.8% of total)

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

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

preprocess45.0ms (0.5%)

Memory

19.6MiB live, 55.8MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`associate-r`
160×	`unsub-neg`
142×	`associate-l`
136×	`distribute-lft-neg-in`
110×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	81
2	139	81
3	307	81
4	458	81
5	693	81
6	871	81
7	957	81
8	1038	81
9	1104	81
10	1118	81
11	1123	81
12	1125	81
0	8	9
0	13	9
1	16	9
0	16	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	16	24
0	16	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.5%)

Memory

-10.8MiB live, 75.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.01171875	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.12109375	(*.f64 x (sin.f64 y))
accuracy	0.1484375	(*.f64 z (cos.f64 y))

Samples

39.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-cos: 17.0ms (55.8% of total)

ival-sin: 9.0ms (29.5% of total)

ival-mult: 3.0ms (9.8% of total)

ival-add: 1.0ms (3.3% of total)

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

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

series13.0ms (0.1%)

Memory

-9.3MiB live, 28.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	z	@	0	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	z	@	inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	y	@	inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	x	@	0	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify360.0ms (4.1%)

Memory

12.0MiB live, 207.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
4 718×	`lower-*.f64`
4 718×	`lower-*.f32`
2 178×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	682
1	344	678
2	981	668
3	2637	662
4	4654	662
5	6949	662
0	8182	606

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))

Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)

rewrite221.0ms (2.5%)

Memory

9.0MiB live, 242.0MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 070×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

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

eval41.0ms (0.5%)

Memory: 13.5MiB live, 50.5MiB allocated
Compiler: Compiled 8 420 to 573 computations (93.2% saved)

prune51.0ms (0.6%)

Memory

9.6MiB live, 47.6MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	266	16	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	267	16	283

Accuracy

99.9%

Counts

283 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	63.7%	(fma.f64 x (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	39.0%	(/.f64 (pow.f64 (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
	54.6%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	55.0%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
	39.0%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
	99.5%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
	71.5%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	54.8%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
▶	39.1%	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
	43.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	43.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	44.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	38.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	61.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 702 to 400 computations (43% saved)

simplify165.0ms (1.9%)

Memory

-23.2MiB live, 195.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
cost-diff	0	(+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))
cost-diff	0	(neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))))
cost-diff	448	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
cost-diff	0	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
cost-diff	128	(neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
cost-diff	128	(neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))
cost-diff	27712	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

Rules

5 654×	`lower-fma.f32`
5 648×	`lower-fma.f64`
2 812×	`lower-*.f32`
2 804×	`lower-*.f64`
2 546×	`lower--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	327
0	58	306
1	109	304
2	297	300
3	1275	300
4	3657	300
5	6463	300
0	8039	300

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
#s(literal 1 binary64)
(neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))))
(+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))
#s(literal -1 binary64)
(fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
#s(literal 2 binary64)

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

localize129.0ms (1.5%)

Memory

-0.9MiB live, 154.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.25494008791597816	(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))
accuracy	0.26217043364487924	(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))
accuracy	1.3515563074906176	(+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))
accuracy	37.91801050947507	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
accuracy	0.23894501953688402	(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy	2.0078042433208236	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
accuracy	28.718789471181275	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
accuracy	0	(sin.f64 y)
accuracy	0.12109375	(*.f64 (sin.f64 y) x)
accuracy	39.14606008868075	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy	0	(fma.f64 y x z)
accuracy	35.30080379679415	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.07421875	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy	0.1484375	(*.f64 (cos.f64 y) z)

Samples

85.0ms

256×

valid

Compiler

Compiled 324 to 35 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-pow: 17.0ms (26.3% of total)

ival-mult: 16.0ms (24.8% of total)

ival-sin: 7.0ms (10.8% of total)

ival-cos: 6.0ms (9.3% of total)

ival-add: 5.0ms (7.7% of total)

ival-pow2: 4.0ms (6.2% of total)

ival-div: 3.0ms (4.6% of total)

ival-neg: 3.0ms (4.6% of total)

ival-sub: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series106.0ms (1.2%)

Memory

4.6MiB live, 156.1MiB allocated

Counts

20 → 612

Calls

Call 1

Inputs
#s(alt (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 y) z) (patch (.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (patch #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))) (patch (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (patch (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (patch (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (patch (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (pow (* (sin y) x) 3))
14.0ms	x	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (pow (* (sin y) x) 3))
11.0ms	z	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (pow (* (sin y) x) 3))
7.0ms	y	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (pow (* (sin y) x) 3))
7.0ms	y	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2)))) (neg (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ -1 (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (pow (* (sin y) x) 3))

simplify219.0ms (2.5%)

Memory

3.5MiB live, 314.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 028×	`lower-fma.f64`
10 028×	`lower-fma.f32`
6 976×	`lower-*.f64`
6 976×	`lower-*.f32`
3 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	876	8930
1	3053	8325
0	9139	7945

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 601

Calls

Call 1

Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* (pow x 2) (pow (sin y) 2))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(* x (sin y))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(+ (* x (sin y)) (* z (- (* z (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* x (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(* -1 (* (pow x 3) (pow (sin y) 3)))
(- (* -1 (* (pow z 3) (pow (cos y) 3))) (* (pow x 3) (pow (sin y) 3)))
(- (* -1 (* (pow z 3) (pow (cos y) 3))) (* (pow x 3) (pow (sin y) 3)))
(- (* -1 (* (pow z 3) (pow (cos y) 3))) (* (pow x 3) (pow (sin y) 3)))
(* (pow x 3) (pow (sin y) 3))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(/ 1 (* x (sin y)))
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(/ -1 (* (pow x 2) (pow (sin y) 2)))
(- (* -1 (/ (* z (cos y)) (* (pow x 3) (pow (sin y) 3)))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ (cos y) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(- (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 5) (pow (sin y) 5)))) (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4))))) (* x (sin y)))))) (+ (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ (cos y) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* -1 (* z (cos y)))
(* z (- (/ (* x (sin y)) z) (cos y)))
(* z (- (/ (* x (sin y)) z) (cos y)))
(* z (- (/ (* x (sin y)) z) (cos y)))
(* (pow z 2) (pow (cos y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (cos y) (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* (pow z 3) (cos y))))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))))
(* -1 (* (pow z 3) (pow (cos y) 3)))
(* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (pow (cos y) 3)))
(* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (pow (cos y) 3)))
(* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (pow (cos y) 3)))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(/ -1 (* z (cos y)))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)
(/ -1 (* (pow z 2) (pow (cos y) 2)))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 3)))) (/ 1 (pow (cos y) 2))) (pow z 2))
(/ (- (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (pow z 2))) (+ (/ 1 (pow (cos y) 2)) (/ (* x (sin y)) (* z (pow (cos y) 3))))) (pow z 2))
(/ (- (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 5))) (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))))) (cos y))) (pow z 3))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* x (sin y)) (* z (pow (cos y) 3))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))))) (pow z 2))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* -1 (* z (cos y)))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y)))))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y)))))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y)))))
(* (pow z 2) (pow (cos y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z)))))
(* -1 (* (pow z 3) (pow (cos y) 3)))
(* -1 (* (pow z 3) (- (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow z 3) (- (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow z 3) (- (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (* -1 (pow (cos y) 3)))))
(* (pow z 3) (pow (cos y) 3))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3)))))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(* (pow z 3) (pow (cos y) 3))
(/ -1 (* z (cos y)))
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ -1 (* (pow z 2) (pow (cos y) 2)))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 3)))) (/ 1 (pow (cos y) 2))) (pow z 2))
(/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 4)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 4)))) (* -1 (/ (* x (sin y)) (pow (cos y) 3)))) z)) (/ 1 (pow (cos y) 2))) (pow z 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))))) (* z (cos y)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 5)))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 4)))) z)) (* -1 (/ (* x (sin y)) (pow (cos y) 3)))) z)) (/ 1 (pow (cos y) 2))) (pow z 2))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
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(* x (- (+ (sin y) (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))))
(* -1 (* (pow x 3) (pow (sin y) 3)))
(* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (pow (sin y) 3)))
(* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (pow (sin y) 3)))
(* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (pow (sin y) 3)))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
(/ 1 (* x (sin y)))
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)
(/ -1 (* (pow x 2) (pow (sin y) 2)))
(/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 3)))) (/ 1 (pow (sin y) 2))) (pow x 2))
(/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))) (pow x 2))) (+ (/ 1 (pow (sin y) 2)) (/ (* z (cos y)) (* x (pow (sin y) 3))))) (pow x 2))
(/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 5))) (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))))) (sin y))) (pow x 3))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* z (cos y)) (* x (pow (sin y) 3))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))))) (pow x 2))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (pow (sin y) 3))
(* (pow x 3) (pow (sin y) 3))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* x (sin y))
(* x (sin y))
(* x (sin y))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x)))))
(* -1 (* (pow x 3) (pow (sin y) 3)))
(* -1 (* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (* -1 (pow (sin y) 3)))))
(* (pow x 3) (pow (sin y) 3))
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(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
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(* (pow x 2) (pow (sin y) 2))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(/ -1 (* (pow x 2) (pow (sin y) 2)))
(/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 3)))) (/ 1 (pow (sin y) 2))) (pow x 2))
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(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))))) (* x (sin y)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 5)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4)))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 3)))) x)) (/ 1 (pow (sin y) 2))) (pow x 2))
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(* (pow x 3) (pow (sin y) 3))
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Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(* (pow x 2) (pow (sin y) 2))
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(* x (sin y))
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(* (pow x 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x))) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x))) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x))) (.f64 x x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* (pow x 2) (pow (sin y) 2)))
(.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x)))))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) x) (/.f64 z (sin.f64 y)) #s(literal 0 binary64))) (neg.f64 x)) (*.f64 (cos.f64 y) z)) x)))
(* -1 (* (pow x 3) (pow (sin y) 3)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (* -1 (pow (sin y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (* -1 (pow (sin y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (* -1 (pow (sin y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(* (pow x 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x) #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(/ -1 (* (pow x 2) (pow (sin y) 2)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 3)))) (/ 1 (pow (sin y) 2))) (pow x 2))
(/.f64 (fma.f64 (/.f64 z (neg.f64 x)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x))
(/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 4)))) (* -1 (/ (* z (cos y)) (pow (sin y) 3)))) x)) (/ 1 (pow (sin y) 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))))) (* x (sin y)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 5)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 4)))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 3)))) x)) (/ 1 (pow (sin y) 2))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) x) (/.f64 z (sin.f64 y)) #s(literal 0 binary64)))) x) #s(literal -1 binary64) (/.f64 (.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow (sin y) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite275.0ms (3.1%)

Memory

26.3MiB live, 409.6MiB allocated

Rules

6 554×	`lower-fma.f32`
6 548×	`lower-fma.f64`
4 482×	`lower-*.f32`
4 474×	`lower-*.f64`
4 328×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	232
0	58	182
1	232	181
2	1603	181
0	8207	181

Stop Event

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

Counts

20 → 1 075

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))))
(+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))

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

eval380.0ms (4.3%)

Memory: -13.7MiB live, 550.9MiB allocated
Compiler: Compiled 86 657 to 4 387 computations (94.9% saved)

prune176.0ms (2%)

Memory

-24.1MiB live, 161.8MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	2 196	18	2 214
Fresh	8	3	11
Picked	2	3	5
Done	0	0	0
Total	2 206	24	2 230

Accuracy

99.9%

Counts

2 230 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
▶	71.5%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	63.7%	(fma.f64 x (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
▶	99.5%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
	24.5%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- ( (cos y) z) (* (sin y) x))) (*.f64 (sin.f64 y) x))))
▶	20.0%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	20.5%	(.f64 #s(approx (neg (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2))) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	32.2%	(.f64 #s(approx (neg (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2))) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	43.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	43.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
	88.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
	92.7%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
	61.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
✓	44.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	44.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
✓	38.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	35.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
	44.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
▶	13.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	12.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	13.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
	23.1%	#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))
	50.9%	#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))))

Compiler

Compiled 724 to 528 computations (27.1% saved)

simplify348.0ms (4%)

Memory

17.9MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
cost-diff	128	(neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
cost-diff	320	(.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
cost-diff	448	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
cost-diff	0	(fma.f64 x y z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* y x) z) (*.f64 y x))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))

Rules

14 392×	`lower-fma.f32`
14 386×	`lower-fma.f64`
2 896×	`lower-*.f32`
2 882×	`lower-*.f64`
1 724×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	293
0	71	285
1	114	266
2	232	263
3	533	263
4	914	263
5	1690	263
6	2587	263
7	3483	263
8	4582	263
9	5402	263
10	6002	263
11	6250	263
12	6316	263
13	6525	263
14	6587	263
15	6961	263
16	7247	263
17	7863	263
0	8064	263

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (1.9%)

Memory

-14.1MiB live, 138.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.31869125976844204	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	5.939306695738124	(.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
accuracy	28.718789471181275	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
accuracy	34.68647202311681	#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
accuracy	0	(sin.f64 y)
accuracy	0.07421875	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy	0.1484375	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy	33.396010969907536	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0	(fma.f64 x y z)
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
accuracy	0.5626496264654421	(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
accuracy	35.30080379679415	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
accuracy	0	(*.f64 y x)
accuracy	30.48211179992866	#s(approx (+ (* y x) z) (*.f64 y x))
accuracy	35.30080379679415	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
accuracy	0.0703125	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.12109375	(*.f64 (sin.f64 y) x)
accuracy	0.203125	(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy	0.2890625	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))

Samples

108.0ms

256×

valid

Compiler

Compiled 243 to 37 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-sin: 26.0ms (29.7% of total)

ival-mult: 20.0ms (22.9% of total)

ival-pow: 12.0ms (13.7% of total)

ival-cos: 7.0ms (8% of total)

ival-div: 6.0ms (6.9% of total)

ival-pow2: 6.0ms (6.9% of total)

ival-add: 5.0ms (5.7% of total)

ival-neg: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (1%)

Memory

33.4MiB live, 104.6MiB allocated

Counts

22 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (* (* (neg x) x) (pow (sin y) 2)) (neg (- (* (cos y) z) (* (sin y) x))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (* (sin y) x) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (sin y) 2))
3.0ms	y	@	0	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (* (* (neg x) x) (pow (sin y) 2)) (neg (- (* (cos y) z) (* (sin y) x))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (* (sin y) x) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (sin y) 2))
3.0ms	y	@	-inf	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (* (* (neg x) x) (pow (sin y) 2)) (neg (- (* (cos y) z) (* (sin y) x))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (* (sin y) x) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (sin y) 2))
3.0ms	y	@	inf	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (* (* (neg x) x) (pow (sin y) 2)) (neg (- (* (cos y) z) (* (sin y) x))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (* (sin y) x) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (sin y) 2))
3.0ms	x	@	inf	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (* (* (neg x) x) (pow (sin y) 2)) (neg (- (* (cos y) z) (* (sin y) x))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (* (sin y) x) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (sin y) 2))

simplify245.0ms (2.8%)

Memory

-5.1MiB live, 193.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 794×	`lower-fma.f64`
7 794×	`lower-fma.f32`
6 846×	`lower-*.f64`
6 846×	`lower-*.f32`
2 472×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	6800
1	1970	6685
2	6420	6622
0	8447	6308

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 628

Calls

Call 1

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

rewrite288.0ms (3.3%)

Memory

-28.9MiB live, 339.9MiB allocated

Rules

9 404×	`lower-fma.f32`
9 398×	`lower-fma.f64`
4 044×	`lower-*.f32`
4 030×	`lower-*.f64`
3 710×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	232
0	71	218
1	251	206
2	1357	204
0	8255	204

Stop Event

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

Counts

22 → 774

Calls

Call 1

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

Outputs
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eval431.0ms (4.9%)

Memory: 27.6MiB live, 373.4MiB allocated
Compiler: Compiled 38 797 to 3 294 computations (91.5% saved)

prune254.0ms (2.9%)

Memory

11.9MiB live, 137.3MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1 490	19	1 509
Fresh	10	6	16
Picked	3	2	5
Done	0	3	3
Total	1 503	30	1 533

Accuracy

100.0%

Counts

1 533 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.7%	(fma.f64 (/.f64 (.f64 (.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) (/.f64 z (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))))
	63.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	71.5%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	63.7%	(fma.f64 x (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	48.0%	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	71.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	34.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
	34.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
▶	61.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
	35.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
▶	24.3%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
	19.5%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (cos y) z) (* (sin y) x))) (*.f64 (sin.f64 y) x))))
	32.2%	(.f64 #s(approx (neg (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2))) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
▶	43.3%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
▶	43.3%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
	92.7%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	88.0%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	61.2%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
✓	44.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	13.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
	8.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 z (.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
	12.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
✓	38.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	35.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
	44.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
✓	13.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	12.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	13.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))

Compiler

Compiled 837 to 626 computations (25.2% saved)

simplify267.0ms (3%)

Memory

-5.7MiB live, 184.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
cost-diff	0	#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
cost-diff	0	(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))

Rules

14 502×	`lower-fma.f32`
14 488×	`lower-fma.f64`
2 740×	`lower-*.f32`
2 726×	`lower-*.f64`
1 814×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	341
0	79	325
1	135	324
2	243	322
3	488	322
4	883	322
5	1732	322
6	2971	322
7	4440	322
8	6613	322
9	7919	322
0	8093	322

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
x
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
(*.f64 y x)
y
x
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
#s(literal -1 binary64)
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(neg.f64 x)
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
(*.f64 x (sin.f64 y))
#s(literal 2 binary64)

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

localize170.0ms (1.9%)

Memory

-32.8MiB live, 343.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
accuracy	0.23894501953688402	(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
accuracy	28.718789471181275	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
accuracy	34.68647202311681	#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
accuracy	0.1484375	(*.f64 (cos.f64 y) z)
accuracy	0.171875	(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
accuracy	0.2890625	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
accuracy	24.885001652028702	#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
accuracy	0.04296875	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x)
accuracy	0.16015625	(fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z))
accuracy	36.28054593824299	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
accuracy	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.0234375	(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
accuracy	36.277205504986846	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
accuracy	0.0703125	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
accuracy	0.12109375	(*.f64 x (sin.f64 y))
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
accuracy	0.2890625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))

Samples

140.0ms

256×

valid

Compiler

Compiled 295 to 47 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 24.0ms (31.7% of total)

ival-add: 9.0ms (11.9% of total)

ival-div: 8.0ms (10.6% of total)

ival-cos: 7.0ms (9.3% of total)

ival-pow2: 7.0ms (9.3% of total)

ival-sin: 6.0ms (7.9% of total)

ival-neg: 5.0ms (6.6% of total)

const: 4.0ms (5.3% of total)

ival-pow: 4.0ms (5.3% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series67.0ms (0.8%)

Memory

7.7MiB live, 161.0MiB allocated

Counts

23 → 708

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) #<representation binary64>) () ())
#s(alt (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z x) y z)) (patch #s(approx (/ 1 (pow (+ ( (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z x) y z) (patch (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z x) y z) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) y) z x) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) y) z x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) z))) (patch #s(approx (pow (+ ( (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) z)) (patch (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) z)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 y) z) (patch (.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (patch (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) (patch (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (patch #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (+ (* z (cos y)) (* x (sin y))) (cos y) (* x (sin y)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/ 1 (* (cos y) z)) (* (cos y) z) (* (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (+ (* (neg x) (sin y)) (* z (cos y))) (neg x) (/ 1 (+ (* z (cos y)) (* x (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* x (sin y)) 2))
5.0ms	z	@	-inf	((/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (+ (* z (cos y)) (* x (sin y))) (cos y) (* x (sin y)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/ 1 (* (cos y) z)) (* (cos y) z) (* (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (+ (* (neg x) (sin y)) (* z (cos y))) (neg x) (/ 1 (+ (* z (cos y)) (* x (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* x (sin y)) 2))
5.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (+ (* z (cos y)) (* x (sin y))) (cos y) (* x (sin y)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/ 1 (* (cos y) z)) (* (cos y) z) (* (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (+ (* (neg x) (sin y)) (* z (cos y))) (neg x) (/ 1 (+ (* z (cos y)) (* x (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* x (sin y)) 2))
5.0ms	y	@	inf	((/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (+ (* z (cos y)) (* x (sin y))) (cos y) (* x (sin y)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/ 1 (* (cos y) z)) (* (cos y) z) (* (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (+ (* (neg x) (sin y)) (* z (cos y))) (neg x) (/ 1 (+ (* z (cos y)) (* x (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* x (sin y)) 2))
4.0ms	z	@	0	((/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (+ (* z (cos y)) (* x (sin y))) (cos y) (* x (sin y)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/ 1 (* (cos y) z)) (* (cos y) z) (* (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (/ -1 (+ (* (neg x) (sin y)) (* z (cos y)))) (+ (* (neg x) (sin y)) (* z (cos y))) (neg x) (/ 1 (+ (* z (cos y)) (* x (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* x (sin y)) 2))

simplify212.0ms (2.4%)

Memory

11.0MiB live, 355.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 224×	`lower-fma.f64`
9 224×	`lower-fma.f32`
6 180×	`lower-*.f64`
6 180×	`lower-*.f32`
3 052×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	647	8889
1	2168	8592
2	7394	8545
0	8195	8051

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 693

Calls

Call 1

Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x y)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
x
(+ x (* -1/2 (* y z)))
(+ x (* -1/2 (* y z)))
(+ x (* -1/2 (* y z)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x y))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(/ 1 (* x (sin y)))
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(* -1 (* x (sin y)))
(+ (* -1 (* x (sin y))) (* z (cos y)))
(+ (* -1 (* x (sin y))) (* z (cos y)))
(+ (* -1 (* x (sin y))) (* z (cos y)))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ x z)))
(* z (+ (* -1/2 y) (/ x z)))
(* z (+ (* -1/2 y) (/ x z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* -1/2 z)
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ -1 (* z (cos y)))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)
(* z (cos y))
(* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))
(* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))
(* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(* (pow z 2) (pow (cos y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(/ -1 (* z (cos y)))
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))))
(* -1 (* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))))
(* -1 (* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))))
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* (pow z 2) (pow (cos y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
x
(+ x (* -1/2 (* y z)))
(+ x (* -1/2 (* y z)))
(+ x (* -1/2 (* y z)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
z
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
x
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1/6 (* x y))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* -1 (* x (sin y)))
(* -1 (* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))
(* (pow x 2) (pow (sin y) 2))

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

rewrite237.0ms (2.7%)

Memory

28.5MiB live, 488.8MiB allocated

Rules

7 390×	`lower-fma.f32`
7 376×	`lower-fma.f64`
4 264×	`lower-*.f32`
4 250×	`lower-*.f64`
3 756×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	269
0	79	253
1	318	252
2	1841	252
0	8488	252

Stop Event

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

Counts

23 → 816

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(cos.f64 y)
(*.f64 x (sin.f64 y))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))

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

eval256.0ms (2.9%)

Memory: -13.1MiB live, 634.8MiB allocated
Compiler: Compiled 37 494 to 3 704 computations (90.1% saved)

prune78.0ms (0.9%)

Memory

-6.2MiB live, 211.1MiB allocated

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	1 557	16	1 573
Fresh	2	18	20
Picked	3	2	5
Done	0	5	5
Total	1 562	41	1 603

Accuracy

100.0%

Counts

1 603 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.7%	(fma.f64 (/.f64 (.f64 (.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) (/.f64 z (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))))
	63.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	71.5%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	63.7%	(fma.f64 x (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	48.0%	(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	71.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))
✓	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	29.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
	30.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	34.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
	34.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
	61.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) z)))
	60.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y))))
✓	61.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
	32.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))))
	32.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))))
	32.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))))
	35.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
	19.5%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (cos y) z) (* (sin y) x))) (*.f64 (sin.f64 y) x))))
	35.9%	(.f64 #s(approx (/ -1 (+ ( (neg x) (sin y)) (* z (cos y)))) (fma.f64 (/.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) z (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x)))) (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
	23.9%	(.f64 #s(approx (/ -1 (+ ( (neg x) (sin y)) (* z (cos y)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x))) (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
	43.7%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z))
	33.2%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
	38.3%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
	92.7%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	88.0%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	61.2%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
	33.0%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
	16.0%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 z (.f64 y y))) (/.f64 x y)) (*.f64 y y))))
	3.1%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
✓	44.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	13.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
	8.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 z (.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
	12.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
✓	38.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	35.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
	44.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
✓	13.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	12.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	13.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))

Compiler

Compiled 1 719 to 753 computations (56.2% saved)

regimes91.0ms (1%)

Memory

18.6MiB live, 173.2MiB allocated

Counts

70 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 z (.f64 y y))) (/.f64 x y)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 z (.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(.f64 #s(approx (/ -1 (+ ( (neg x) (sin y)) (* z (cos y)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x))) (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (cos y) z) (* (sin y) x))) (*.f64 (sin.f64 y) x))))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(.f64 #s(approx (neg (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2))) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(.f64 #s(approx (neg (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2))) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- ( (cos y) z) (* (sin y) x))) (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))))
(.f64 #s(approx (/ -1 (+ ( (neg x) (sin y)) (* z (cos y)))) (fma.f64 (/.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) z (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x)))) (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (neg.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
(fma.f64 (/.f64 (.f64 (.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) (/.f64 z (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))))

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

Calls

4 calls:

24.0ms	x
22.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
21.0ms	z
21.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes75.0ms (0.9%)

Memory

11.5MiB live, 87.8MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 z (.f64 y y))) (/.f64 x y)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 z (.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))

Outputs

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

(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))

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

Calls

4 calls:

35.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
16.0ms	y
11.0ms	z
11.0ms	x

Results

Accuracy	Segments	Branch
86.5%	3	`x`
77.0%	3	`y`
86.9%	3	`z`
75.3%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes28.0ms (0.3%)

Memory

-31.3MiB live, 49.8MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 z (.f64 y y))) (/.f64 x y)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 z (.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z))

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

Calls

2 calls:

13.0ms	z
13.0ms	x

Results

Accuracy	Segments	Branch
78.7%	3	`x`
73.6%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes57.0ms (0.7%)

Memory

7.8MiB live, 84.6MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 z (.f64 y y))) (/.f64 x y)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 z (.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Outputs

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

#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))

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

Calls

4 calls:

26.0ms	z
11.0ms	y
9.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	x

Results

Accuracy	Segments	Branch
66.6%	3	`z`
61.2%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
71.6%	3	`y`
66.9%	2	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes58.0ms (0.7%)

Memory

11.0MiB live, 93.1MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 z (.f64 y y))) (/.f64 x y)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 z (.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))))
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))

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

Calls

4 calls:

27.0ms	x
12.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
44.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
44.8%	1	`z`
44.8%	1	`x`
44.8%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory

-18.9MiB live, 19.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
13.2%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
13.2%	1	`x`
13.2%	1	`y`
13.2%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch26.0ms (0.3%)

Memory

33.3MiB live, 71.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.66460829055525e+50	4.9134358454779766e+51
10.0ms	-9.107305602816005e+49	-3.4631295910243774e+49

Samples

17.0ms

176×

valid

Compiler

Compiled 155 to 190 computations (-22.6% saved)

Precisions

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

ival-sin: 5.0ms (40.2% of total)

ival-cos: 3.0ms (24.1% of total)

ival-mult: 3.0ms (24.1% of total)

ival-add: 1.0ms (8% of total)

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

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

bsearch58.0ms (0.7%)

Memory

-53.2MiB live, 87.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.00874941106363912	336953503.1894894
33.0ms	-1.5194906006195157e+73	-4.955380345371444e+70

Samples

29.0ms

288×

valid

Compiler

Compiled 192 to 266 computations (-38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 9.0ms (42.3% of total)

ival-cos: 7.0ms (32.9% of total)

ival-mult: 4.0ms (18.8% of total)

ival-add: 1.0ms (4.7% of total)

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

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

bsearch31.0ms (0.4%)

Memory

28.1MiB live, 66.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	35526178.43200749	536118012.3382449
13.0ms	-1.1788022504264302e-6	-1.5584375707874093e-9

Samples

18.0ms

224×

valid

Compiler

Compiled 264 to 266 computations (-0.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 5.0ms (39.1% of total)

ival-cos: 4.0ms (31.3% of total)

ival-mult: 3.0ms (23.5% of total)

ival-add: 1.0ms (7.8% of total)

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

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

simplify27.0ms (0.3%)

Memory

-17.9MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	208
1	68	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 z #s(literal -88000000000000002560359973332998460075172111056896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 1400000000000000023740028038729175989641568325730304 binary64)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 x #s(literal -390000000000000011429809239271624257259948721108742542845971616617201664 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 35000 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -1357680363825023/1180591620717411303424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 36000000 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -88000000000000002560359973332998460075172111056896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 1400000000000000023740028038729175989641568325730304 binary64)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -88000000000000002560359973332998460075172111056896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1400000000000000023740028038729175989641568325730304 binary64)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 x #s(literal -390000000000000011429809239271624257259948721108742542845971616617201664 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 35000 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
(if (<=.f64 x #s(literal -390000000000000011429809239271624257259948721108742542845971616617201664 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 35000 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -1357680363825023/1180591620717411303424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 36000000 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -1357680363825023/1180591620717411303424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 36000000 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness987.0ms (11.3%)

Memory

21.4MiB live, 724.5MiB allocated

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
10 028×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	6800
1	1970	6685
2	6420	6622
0	8447	6308
0	647	8889
1	2168	8592
2	7394	8545
0	8195	8051
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20
0	876	8930
1	3053	8325
0	9139	7945
0	109	682
1	344	678
2	981	668
3	2637	662
4	4654	662
5	6949	662
0	8182	606

Stop Event

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

Compiler

Compiled 215 to 128 computations (40.5% saved)

preprocess62.0ms (0.7%)

Memory: -1.4MiB live, 83.6MiB allocated
Compiler: Compiled 214 to 102 computations (52.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (20.1%)

explain163.0ms (1.9%)

preprocess45.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize44.0ms (0.5%)

series13.0ms (0.1%)

simplify360.0ms (4.1%)

rewrite221.0ms (2.5%)

eval41.0ms (0.5%)

prune51.0ms (0.6%)

simplify165.0ms (1.9%)

localize129.0ms (1.5%)

series106.0ms (1.2%)

simplify219.0ms (2.5%)

rewrite275.0ms (3.1%)

eval380.0ms (4.3%)

prune176.0ms (2%)

simplify348.0ms (4%)

localize164.0ms (1.9%)

series84.0ms (1%)

simplify245.0ms (2.8%)

rewrite288.0ms (3.3%)

eval431.0ms (4.9%)

prune254.0ms (2.9%)

simplify267.0ms (3%)

localize170.0ms (1.9%)

series67.0ms (0.8%)

simplify212.0ms (2.4%)

rewrite237.0ms (2.7%)

eval256.0ms (2.9%)

prune78.0ms (0.9%)

regimes91.0ms (1%)

regimes75.0ms (0.9%)

regimes28.0ms (0.3%)

regimes57.0ms (0.7%)

regimes58.0ms (0.7%)

regimes8.0ms (0.1%)

bsearch26.0ms (0.3%)

bsearch58.0ms (0.7%)

bsearch31.0ms (0.4%)

simplify27.0ms (0.3%)

soundness987.0ms (11.3%)

preprocess62.0ms (0.7%)

end0.0ms (0%)

Profiling