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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample843.0ms (14%)

Memory

263.2MiB live, 263.2MiB allocated

Samples

618.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-sin: 169.0ms (37.8% of total)

ival-cos: 140.0ms (31.3% of total)

ival-mult: 98.0ms (21.9% of total)

ival-add: 32.0ms (7.2% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain113.0ms (1.9%)

Memory

51.6MiB live, 51.6MiB 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

44.0ms

512×

valid

Compiler

Compiled 133 to 52 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 10.0ms (34.7% of total)

ival-sin: 10.0ms (34.7% of total)

ival-mult: 6.0ms (20.8% of total)

ival-add: 2.0ms (6.9% of total)

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

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

preprocess39.0ms (0.7%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

simplify2.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)))

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)

localize27.0ms (0.4%)

Memory

9.9MiB live, 9.9MiB 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	0.1171875	(*.f64 z (cos.f64 y))
accuracy	0.12109375	(*.f64 x (sin.f64 y))

Samples

21.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-sin: 5.0ms (35.5% of total)

ival-cos: 4.0ms (28.4% of total)

ival-mult: 3.0ms (21.3% of total)

ival-add: 1.0ms (7.1% of total)

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

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

series9.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB 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
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))
1.0ms	z	@	-inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify124.0ms (2.1%)

Memory

35.2MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite139.0ms (2.3%)

Memory

56.2MiB live, 56.2MiB allocated

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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval27.0ms (0.4%)

Memory: 24.3MiB live, 24.3MiB allocated
Compiler: Compiled 8 420 to 573 computations (93.2% saved)

prune20.0ms (0.3%)

Memory

22.7MiB live, 22.7MiB 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

100.0%

Counts

283 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.5%	(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)))))
	46.0%	(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)))))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	64.5%	(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)))))
	53.8%	(/.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)))
	34.5%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #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))))
	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
	76.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	34.5%	(.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))) (.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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal 2 binary64))))
▶	54.0%	(.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)))))
	51.1%	#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))
	50.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	40.7%	#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 634 to 380 computations (40.1% saved)

simplify95.0ms (1.6%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
cost-diff	128	(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))))
cost-diff	41920	(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)))))
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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	298
0	59	251
1	107	248
2	245	246
3	918	246
4	3709	246
5	5181	246
6	7436	246
0	8039	246

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))
(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)))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
x
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
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 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)

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)))
(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 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
x
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(neg.f64 z)
z
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(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 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))))
(/.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 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))
(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))

localize106.0ms (1.8%)

Memory

40.2MiB live, 40.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.28125	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	1.3343135620442195	(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)))))
accuracy	2.840427821137423	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
accuracy	22.540123179397227	(/.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)))
accuracy	0.19140625	(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
accuracy	0.2421875	(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy	3.144516800811441	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
accuracy	29.1633808939717	(.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	37.883829144087535	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy	0	(fma.f64 y x z)
accuracy	31.151003901151828	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0625	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy	0.1171875	(*.f64 (cos.f64 y) z)

Samples

75.0ms

256×

valid

Compiler

Compiled 579 to 64 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 14.0ms (26.9% of total)

ival-pow2: 8.0ms (15.4% of total)

ival-sin: 7.0ms (13.4% of total)

ival-add: 6.0ms (11.5% of total)

ival-div: 5.0ms (9.6% of total)

ival-cos: 5.0ms (9.6% of total)

ival-neg: 5.0ms (9.6% of total)

ival-sub: 2.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (1.1%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

19 → 564

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

Calls

9 calls:

Time	Variable		Point	Expression
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)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
6.0ms	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)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
6.0ms	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)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
5.0ms	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)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
5.0ms	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)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))

simplify164.0ms (2.7%)

Memory

58.8MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	756	7735
1	2628	7510
0	8483	7173

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 552

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 (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin 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))))
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin 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))
(* 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 (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (cos y))
(* z (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y))))
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y))))
(/ -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 (* z (cos y)))
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z)))
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (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 (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 (/ (* x (sin y)) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* z (cos y))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y))))
(/ -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 (* z (cos y)))
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z))))
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z)))))
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z)))))
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)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
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 (* x y))
(+ z (* 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 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 (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(* -1 z)
(- (* x y) z)
(- (* y (+ x (* 1/2 (* y z)))) z)
(- (* y (+ x (* y (- (* -1/6 (* x y)) (* -1/2 z))))) z)
(pow z 2)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
z
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))
z
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(/ -1 z)
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(* -1 z)
(+ (* -1 z) (* -1 (* x y)))
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos 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 y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z 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))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y))))
(- (* (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)) (* (pow z 2) (pow (cos y) 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)))
(- (* (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)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(* x (pow (sin y) 2))
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(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 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) (sin.f64 y))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(/.f64 (fma.f64 z (.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x)))) x)) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) (neg.f64 x))

rewrite187.0ms (3.1%)

Memory

83.4MiB live, 83.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	212
0	59	164
1	228	161
2	1644	161
0	8409	161

Stop Event

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

Counts

19 → 1 334

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)))
(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)))))
(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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #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))))
(/.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)))

Outputs
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eval312.0ms (5.2%)

Memory: 207.7MiB live, 207.7MiB allocated
Compiler: Compiled 97 547 to 3 921 computations (96% saved)

prune107.0ms (1.8%)

Memory

111.6MiB live, 111.6MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	2 279	25	2 304
Fresh	8	3	11
Picked	2	3	5
Done	0	0	0
Total	2 289	31	2 320

Accuracy

100.0%

Counts

2 320 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(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 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
▶	52.1%	(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
	76.8%	(fma.f64 (sin.f64 y) x (.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	77.0%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	64.5%	(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)))))
	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
	32.3%	(.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)))) #s(approx (/ 1 (neg (- ( (cos y) z) (* (sin y) x)))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))))
	46.4%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
	31.9%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	51.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (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))))
	84.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
	90.9%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
▶	61.2%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
	51.1%	#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))
	50.7%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
✓	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	20.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
✓	40.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	20.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (exp.f64 (log.f64 (sin.f64 y))) x))
	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
▶	49.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
	35.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
	42.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
	49.7%	#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)))))
▶	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	16.6%	#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)))
	20.9%	#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))

Compiler

Compiled 834 to 642 computations (23% saved)

simplify90.0ms (1.5%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 z (cos.f64 y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
cost-diff	7104	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
cost-diff	0	(/.f64 (*.f64 y x) z)
cost-diff	0	#s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
cost-diff	1024	(fma.f64 (/.f64 (*.f64 y x) z) z 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	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	195
0	58	186
1	99	184
2	175	181
3	484	175
4	1369	175
5	3755	175
6	5797	175
7	7007	175
0	8030	167

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (1.5%)

Memory

32.7MiB live, 32.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
accuracy	0.046875	(sqrt.f64 (*.f64 z (cos.f64 y)))
accuracy	0.05859375	(*.f64 z (cos.f64 y))
accuracy	0.27962875976844204	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
accuracy	0	(cos.f64 y)
accuracy	0.05859375	(*.f64 (cos.f64 y) z)
accuracy	13.013417291115788	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
accuracy	0	#s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))
accuracy	2.3994488001881966	(fma.f64 (/.f64 (*.f64 y x) z) z z)
accuracy	2.4325135662292707	(/.f64 (*.f64 y x) z)
accuracy	15.28820236667481	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
accuracy	0	(*.f64 y x)
accuracy	15.28820236667481	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
accuracy	16.875799215258464	#s(approx (+ (* y x) z) (*.f64 y x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.02734375	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.05859375	(*.f64 (sin.f64 y) x)

Samples

36.0ms	134×	0	valid
34.0ms	122×	0	invalid

Compiler

Compiled 276 to 54 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 14.0ms (27.3% of total)

ival-add: 8.0ms (15.6% of total)

ival-pow2: 7.0ms (13.6% of total)

ival-sin: 6.0ms (11.7% of total)

ival-cos: 6.0ms (11.7% of total)

ival-div: 5.0ms (9.7% of total)

ival-sqrt: 2.0ms (3.9% of total)

ival-neg: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.7%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

17 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (/ (* y x) z) z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (/ (* y x) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))
4.0ms	z	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (/ (* y x) z) z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (/ (* y x) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))
3.0ms	y	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (/ (* y x) z) z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (/ (* y x) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))
3.0ms	y	@	inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (/ (* y x) z) z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (/ (* y x) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))
2.0ms	x	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (/ (* y x) z) z) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (/ (* y x) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))

simplify154.0ms (2.6%)

Memory

51.0MiB live, 51.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	3641
1	908	3596
2	2890	3537
0	8216	3286

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 471

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 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)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* 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 (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(* z (cos 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))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* 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) (/ (* 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
(* 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
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* z (cos y))
(* z (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (cos y))
(* z (cos y))
(* z (cos 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)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* 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)))))
(* 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
(* -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
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* z (cos y))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* 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)))))))
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)))))))
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 (* 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 (* x y))
(+ z (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x 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 (* x y))
(+ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
z
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))
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))))))
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))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(sqrt z)
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z)))))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
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))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(cos y)
(cos y)
(cos y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin 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 y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z 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 y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
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Outputs
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(*.f64 (sin.f64 y) x)
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(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))
(+ (* 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)
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(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 y)) x (.f64 (cos.f64 y) z))) (.f64 z z) (/.f64 (.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))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 y)) x (.f64 (cos.f64 y) z))) (.f64 z z) (/.f64 (.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))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 y)) x (.f64 (cos.f64 y) z))) (.f64 z z) (/.f64 (.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))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 y)) x (.f64 (cos.f64 y) z))) (.f64 z z) (/.f64 (.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))))
(* z (cos y))
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(* z (cos y))
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(+ (* 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)))
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(* z (cos y))
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(+ (* 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))
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(+ (* 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
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
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(* x y)
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(* x y)
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z
(+ z (* x y))
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(+ z (* x y))
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(+ z (* x y))
(fma.f64 y x z)
(* 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))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(- (* x (sin y)) (* -1 (* z (cos y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* 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) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
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(* 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)
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(*.f64 (+.f64 (/.f64 z x) y) x)
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(*.f64 (+.f64 (/.f64 z x) y) x)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
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(* 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 y)
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(*.f64 (+.f64 (/.f64 z x) y) x)
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(*.f64 (+.f64 (/.f64 z x) y) x)
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(*.f64 (+.f64 (/.f64 z x) y) x)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* 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) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
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(*.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)
(* 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)
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(*.f64 (sin.f64 y) x)
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(*.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)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
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(*.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)
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(*.f64 y x)
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(*.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 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) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* 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 (/ (- (+ (* -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 (/.f64 (cos.f64 y) x) z (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 (/.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)

rewrite171.0ms (2.8%)

Memory

70.7MiB live, 70.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	172
0	58	163
1	231	134
2	1509	131
0	8578	124

Stop Event

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

Counts

17 → 989

Calls

Call 1

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

Outputs
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eval198.0ms (3.3%)

Memory: 130.8MiB live, 130.8MiB allocated
Compiler: Compiled 53 350 to 2 164 computations (95.9% saved)

prune91.0ms (1.5%)

Memory

86.9MiB live, 86.9MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 531	13	1 544
Fresh	7	16	23
Picked	2	3	5
Done	0	3	3
Total	1 540	35	1 575

Accuracy

100.0%

Counts

1 575 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(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 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
▶	77.0%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	64.5%	(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)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
	32.3%	(.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)))) #s(approx (/ 1 (neg (- ( (cos y) z) (* (sin y) x)))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))))
	46.4%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
	31.9%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	31.8%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
	51.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (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))))
	90.9%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	84.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
▶	23.9%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)))))
	49.6%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
✓	61.2%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
	37.0%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
▶	39.1%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	36.8%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
	50.7%	#s(approx (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
✓	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	20.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
✓	40.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	20.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (exp.f64 (log.f64 (sin.f64 y))) x))
	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
	49.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z z)))
	47.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 x z) y) z z)))
▶	45.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z y) (/.f64 x z) z)))
	28.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 (.f64 x y) #s(literal 1 binary64)))))
	35.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
	42.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
✓	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	16.6%	#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)))
	20.9%	#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))

Compiler

Compiled 890 to 695 computations (21.9% saved)

simplify293.0ms (4.9%)

Memory

37.0MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z (cos.f64 y))
cost-diff	0	(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64))))
cost-diff	0	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)))))
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	(*.f64 z y)
cost-diff	0	#s(approx (+ (* y x) z) (fma.f64 (*.f64 z y) (/.f64 x z) z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z y) (/.f64 x z) z)))
cost-diff	1024	(fma.f64 (*.f64 z y) (/.f64 x z) z)
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	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	277
0	70	270
1	113	266
2	185	266
3	448	266
4	1095	257
5	2807	257
6	4401	257
7	5339	257
8	5829	257
9	5971	257
10	6013	257
11	6076	257
12	6281	257
13	6826	257
14	6989	257
15	7027	257
16	7087	257
17	7123	257
18	7151	257
19	7161	257
20	7191	257
0	8119	250

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

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

localize115.0ms (1.9%)

Memory

38.5MiB live, 38.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0625	(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64))
accuracy	0.14453125	(.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64))))
accuracy	9.882153154396148	(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)))
accuracy	13.013417291115788	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)))))
accuracy	0	(sin.f64 y)
accuracy	0.0234375	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy	0.05859375	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy	14.35697890034162	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0	(*.f64 z y)
accuracy	0	#s(approx (+ (* y x) z) (fma.f64 (*.f64 z y) (/.f64 x z) z))
accuracy	6.509842739361996	(fma.f64 (*.f64 z y) (/.f64 x z) z)
accuracy	15.28820236667481	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z y) (/.f64 x z) z)))
accuracy	0.05859375	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy	13.013417291115788	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy	14.35697890034162	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.02734375	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.05859375	(*.f64 (sin.f64 y) x)
accuracy	0.0859375	(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))

Samples

47.0ms	134×	0	valid
39.0ms	122×	0	invalid

Compiler

Compiled 398 to 69 computations (82.7% saved)

Precisions

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

ival-mult: 18.0ms (27.8% of total)

ival-pow: 10.0ms (15.4% of total)

ival-add: 8.0ms (12.3% of total)

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

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

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

ival-pow2: 5.0ms (7.7% of total)

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

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

exact: 1.0ms (1.5% of total)

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

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

series260.0ms (4.3%)

Memory

82.7MiB live, 82.7MiB allocated

Counts

20 → 552

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

Calls

9 calls:

Time	Variable		Point	Expression
70.0ms	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) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (+ (* (* z y) (/ x z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z y) (+ (* (sin y) x) (* (cos y) z)) (sin y) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (pow (* z (cos y)) 1/4) (* z (cos y)) (* (sin y) x) (sqrt (pow (* z (cos y)) 3/2)) (pow (* z (cos y)) 3/2))
55.0ms	z	@	-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) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (+ (* (* z y) (/ x z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z y) (+ (* (sin y) x) (* (cos y) z)) (sin y) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (pow (* z (cos y)) 1/4) (* z (cos y)) (* (sin y) x) (sqrt (pow (* z (cos y)) 3/2)) (pow (* z (cos y)) 3/2))
48.0ms	z	@	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) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (+ (* (* z y) (/ x z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z y) (+ (* (sin y) x) (* (cos y) z)) (sin y) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (pow (* z (cos y)) 1/4) (* z (cos y)) (* (sin y) x) (sqrt (pow (* z (cos y)) 3/2)) (pow (* z (cos y)) 3/2))
36.0ms	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) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (+ (* (* z y) (/ x z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z y) (+ (* (sin y) x) (* (cos y) z)) (sin y) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (pow (* z (cos y)) 1/4) (* z (cos y)) (* (sin y) x) (sqrt (pow (* z (cos y)) 3/2)) (pow (* z (cos y)) 3/2))
21.0ms	z	@	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) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (+ (* (* z y) (/ x z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z y) (+ (* (sin y) x) (* (cos y) z)) (sin y) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (pow (* z (cos y)) 1/4) (* z (cos y)) (* (sin y) x) (sqrt (pow (* z (cos y)) 3/2)) (pow (* z (cos y)) 3/2))

simplify146.0ms (2.4%)

Memory

45.7MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	512	5639
1	1651	5518
2	6171	5433
0	8482	5138

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 534

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 (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (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)))))
(* z (cos y))
(* z (cos y))
(* z (cos 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 y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* y z)
(* y z)
(* y z)
(* y z)
(* 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 (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (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)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(exp (* 1/4 (+ (log z) (log (cos y)))))
(exp (* 1/4 (+ (log z) (log (cos y)))))
(exp (* 1/4 (+ (log z) (log (cos y)))))
(exp (* 1/4 (+ (log z) (log (cos y)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(exp (* 1/4 (+ (log (pow (cos y) 3)) (* 3 (log z)))))
(exp (* 1/4 (+ (log (pow (cos y) 3)) (* 3 (log z)))))
(exp (* 1/4 (+ (log (pow (cos y) 3)) (* 3 (log z)))))
(exp (* 1/4 (+ (log (pow (cos y) 3)) (* 3 (log z)))))
(sqrt (* (pow z 3) (pow (cos y) 3)))
(sqrt (* (pow z 3) (pow (cos y) 3)))
(sqrt (* (pow z 3) (pow (cos y) 3)))
(sqrt (* (pow z 3) (pow (cos y) 3)))
(* 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 (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
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
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* y z)
(* y z)
(* y z)
(* 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 (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(exp (* 1/4 (+ (log (cos y)) (* -1 (log (/ 1 z))))))
(exp (* 1/4 (+ (log (cos y)) (* -1 (log (/ 1 z))))))
(exp (* 1/4 (+ (log (cos y)) (* -1 (log (/ 1 z))))))
(exp (* 1/4 (+ (log (cos y)) (* -1 (log (/ 1 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(exp (* 1/4 (+ (log (pow (cos y) 3)) (* -3 (log (/ 1 z))))))
(exp (* 1/4 (+ (log (pow (cos y) 3)) (* -3 (log (/ 1 z))))))
(exp (* 1/4 (+ (log (pow (cos y) 3)) (* -3 (log (/ 1 z))))))
(exp (* 1/4 (+ (log (pow (cos y) 3)) (* -3 (log (/ 1 z))))))
(sqrt (* (pow z 3) (pow (cos y) 3)))
(sqrt (* (pow z 3) (pow (cos y) 3)))
(sqrt (* (pow z 3) (pow (cos y) 3)))
(sqrt (* (pow z 3) (pow (cos y) 3)))
(* 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))
(* 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 (/ (* x (sin y)) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
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
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* y z)
(* y z)
(* y z)
(* 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 (/ (* x (sin y)) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* (pow -1 1/4) (* (* z (cos y)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* z (cos y)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* z (cos y)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* z (cos y)) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log (* -1 (cos y))) (* -1 (log (/ -1 z))))))
(exp (* 1/4 (+ (log (* -1 (cos y))) (* -1 (log (/ -1 z))))))
(exp (* 1/4 (+ (log (* -1 (cos y))) (* -1 (log (/ -1 z))))))
(exp (* 1/4 (+ (log (* -1 (cos y))) (* -1 (log (/ -1 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* (exp (* 1/4 (+ (log (pow (cos y) 3)) (* -3 (log (/ -1 z)))))) (sqrt (sqrt -1)))
(* (exp (* 1/4 (+ (log (pow (cos y) 3)) (* -3 (log (/ -1 z)))))) (sqrt (sqrt -1)))
(* (exp (* 1/4 (+ (log (pow (cos y) 3)) (* -3 (log (/ -1 z)))))) (sqrt (sqrt -1)))
(* (exp (* 1/4 (+ (log (pow (cos y) 3)) (* -3 (log (/ -1 z)))))) (sqrt (sqrt -1)))
(* (sqrt (* (pow z 3) (pow (cos y) 3))) (pow (sqrt -1) 2))
(* (sqrt (* (pow z 3) (pow (cos y) 3))) (pow (sqrt -1) 2))
(* (sqrt (* (pow z 3) (pow (cos y) 3))) (pow (sqrt -1) 2))
(* (sqrt (* (pow z 3) (pow (cos y) 3))) (pow (sqrt -1) 2))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
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)))
z
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))
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)))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x 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 (* x y))
(+ z (* x y))
(* y z)
(* y z)
(* y z)
(* y z)
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
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))
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))))))
(pow (* 1 z) 1/4)
(+ (* -1/8 (* (pow (* 1 z) 1/4) (pow y 2))) (pow (* 1 z) 1/4))
(+ (* (pow y 2) (+ (* -1/8 (pow (* 1 z) 1/4)) (* -5/384 (* (pow (* 1 z) 1/4) (pow y 2))))) (pow (* 1 z) 1/4))
(+ (* (pow y 2) (+ (* -1/8 (pow (* 1 z) 1/4)) (* (pow y 2) (+ (* -5/384 (pow (* 1 z) 1/4)) (* -151/46080 (* (pow (* 1 z) 1/4) (pow y 2))))))) (pow (* 1 z) 1/4))
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))))))
(* 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)))))))
(pow (* 1 (pow z 3)) 1/4)
(+ (* -3/8 (* (pow (* 1 (pow z 3)) 1/4) (pow y 2))) (pow (* 1 (pow z 3)) 1/4))
(+ (* (pow y 2) (+ (* -3/8 (pow (* 1 (pow z 3)) 1/4)) (* 1/128 (* (pow (* 1 (pow z 3)) 1/4) (pow y 2))))) (pow (* 1 (pow z 3)) 1/4))
(+ (* (pow y 2) (+ (* -3/8 (pow (* 1 (pow z 3)) 1/4)) (* (pow y 2) (+ (* -31/15360 (* (pow (* 1 (pow z 3)) 1/4) (pow y 2))) (* 1/128 (pow (* 1 (pow z 3)) 1/4)))))) (pow (* 1 (pow z 3)) 1/4))
(sqrt (pow z 3))
(+ (sqrt (pow z 3)) (* -3/4 (* (pow y 2) (sqrt (pow z 3)))))
(+ (sqrt (pow z 3)) (* (pow y 2) (+ (* -3/4 (sqrt (pow z 3))) (* 1/2 (* (* (pow y 2) (- (* 7/8 (pow z 3)) (* 9/16 (pow z 3)))) (sqrt (/ 1 (pow z 3))))))))
(+ (sqrt (pow z 3)) (* (pow y 2) (+ (* -3/4 (sqrt (pow z 3))) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 (pow z 3))) (- (* 7/8 (pow z 3)) (* 9/16 (pow z 3))))) (* 1/2 (* (* (pow y 2) (- (* -61/240 (pow z 3)) (* -3/4 (- (* 7/8 (pow z 3)) (* 9/16 (pow z 3)))))) (sqrt (/ 1 (pow z 3))))))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos 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)) (* z (cos y))))
(+ (* x (sin y)) (* z (cos y)))
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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))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
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(+ z (* x y))
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(* z (cos y))
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(+ (* 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))
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(- (* x (sin y)) (* -1 (* z (cos y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
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(*.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 (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)
(/ (- (+ (/ 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)
(/.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 (/ (* (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)
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.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)
(* x (sin y))
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(* 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) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) 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 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)
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(*.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) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
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(* x (sin y))
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(*.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)))))
(*.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))
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(* 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))
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(* -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 (/ (- (+ (* -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 (/.f64 (cos.f64 y) x) z (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 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x y)
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(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
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(*.f64 (+.f64 (/.f64 z x) y) x)
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(* -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)
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(* -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 (/ (- (+ (* -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 (/.f64 (cos.f64 y) x) z (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 (/.f64 (cos.f64 y) x) z (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)

rewrite160.0ms (2.7%)

Memory

67.7MiB live, 67.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	242
0	70	223
1	268	156
2	1706	156
0	8250	154

Stop Event

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

Counts

20 → 1 084

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

Outputs
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eval234.0ms (3.9%)

Memory: 151.3MiB live, 151.3MiB allocated
Compiler: Compiled 61 286 to 3 752 computations (93.9% saved)

prune99.0ms (1.6%)

Memory

93.6MiB live, 93.6MiB allocated

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	1 741	12	1 753
Fresh	7	17	24
Picked	2	3	5
Done	0	6	6
Total	1 750	38	1 788

Accuracy

100.0%

Counts

1 788 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(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 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	77.0%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	35.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (/.f64 y (*.f64 z z)) (neg.f64 x) (/.f64 #s(literal 1 binary64) z))))
	60.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))
	37.6%	(/.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)))
	40.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
	61.2%	(/.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))))
	32.3%	(.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)))) #s(approx (/ 1 (neg (- ( (cos y) z) (* (sin y) x)))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))))
	46.4%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
	31.9%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	50.7%	#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))
	90.9%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	84.3%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	31.8%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
	31.9%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1/4 binary64))))
	49.6%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
✓	61.2%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
	37.0%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
✓	39.1%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	37.0%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) y) y (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
	36.8%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
✓	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	20.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
✓	40.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	20.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (exp.f64 (log.f64 (sin.f64 y))) x))
	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
	49.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z z)))
	47.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 x z) y) z z)))
✓	45.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z y) (/.f64 x z) z)))
	28.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 (.f64 x y) #s(literal 1 binary64)))))
	35.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
	42.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
✓	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	16.6%	#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)))
	20.9%	#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))

Compiler

Compiled 1 465 to 670 computations (54.3% saved)

regimes80.0ms (1.3%)

Memory

30.6MiB live, 30.6MiB allocated

Counts

67 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
19.0ms	x
19.0ms	z
19.0ms	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)

regimes46.0ms (0.8%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes45.0ms (0.7%)

Memory

18.6MiB live, 18.6MiB 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 (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) (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 (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (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 x) y) x)))
#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 (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z y) (/.f64 x z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 (/.f64 x z) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z 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 (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y 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))))
#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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 (.f64 x y) #s(literal 1 binary64)))))
#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (* (pow (* z (cos y)) 1/4) (sqrt (pow (* z (cos y)) 3/2))) (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) y) y (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (/.f64 y (*.f64 z z)) (neg.f64 x) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#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 (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.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) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))

Outputs

(/.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))))

(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:

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

Results

Accuracy	Segments	Branch
88.8%	3	`x`
82.5%	4	`y`
89.2%	3	`z`
77.0%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

32 → 3

Calls

Call 1

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

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

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
89.2%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes40.0ms (0.7%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

30 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
10.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
64.7%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
81.5%	5	`y`
76.3%	3	`x`
79.4%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes29.0ms (0.5%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

28 → 3

Calls

Call 1

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

Calls

3 calls:

9.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
68.6%	3	`x`
75.1%	3	`y`
68.8%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes36.0ms (0.6%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

27 → 1

Calls

Call 1

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

9.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	y
8.0ms	x
8.0ms	z

Results

Accuracy	Segments	Branch
51.3%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
51.3%	1	`x`
51.3%	1	`z`
51.3%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.1%	3	`z`
39.1%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
39.1%	1	`x`
39.1%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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:

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

Results

Accuracy	Segments	Branch
16.6%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
16.6%	1	`x`
16.6%	1	`y`
16.6%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch40.0ms (0.7%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.50943169191139e+61	9.52225800968238e+63
22.0ms	-1.9696230247021868e+130	-3.153280691849443e+117

Samples

26.0ms

272×

valid

Compiler

Compiled 273 to 316 computations (-15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 7.0ms (39% of total)

ival-cos: 6.0ms (33.5% of total)

ival-mult: 4.0ms (22.3% of total)

ival-add: 1.0ms (5.6% of total)

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

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

bsearch3.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.50943169191139e+61	9.52225800968238e+63
1.0ms	-1.9696230247021868e+130	-3.153280691849443e+117

Compiler

Compiled 233 to 286 computations (-22.7% saved)

bsearch32.0ms (0.5%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.3162563180954617e-51	3.1305872593041005e-51
19.0ms	-1.1490936282046243e-54	-4.134502294711426e-62

Samples

21.0ms

224×

valid

Compiler

Compiled 152 to 210 computations (-38.2% saved)

Precisions

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

ival-cos: 5.0ms (34.6% of total)

ival-sin: 5.0ms (34.6% of total)

ival-mult: 3.0ms (20.8% of total)

ival-add: 1.0ms (6.9% of total)

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

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

bsearch43.0ms (0.7%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	12019.238041228728	70176425193.24568
17.0ms	-72.1402902541629	-5.309294607893827e-15

Samples

27.0ms

304×

valid

Compiler

Compiled 392 to 375 computations (4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 7.0ms (37.1% of total)

ival-cos: 6.0ms (31.8% of total)

ival-mult: 4.0ms (21.2% of total)

ival-add: 1.0ms (5.3% of total)

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

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

bsearch24.0ms (0.4%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.867163204857085e-110	1.388388785535827e-109
13.0ms	-1.1490936282046243e-54	-4.134502294711426e-62

Samples

15.0ms

160×

valid

Compiler

Compiled 142 to 209 computations (-47.2% saved)

Precisions

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

ival-sin: 4.0ms (38.3% of total)

ival-cos: 3.0ms (28.7% of total)

ival-mult: 2.0ms (19.1% of total)

ival-add: 1.0ms (9.6% of total)

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

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

simplify30.0ms (0.5%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	374
1	88	374

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 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)))) (if (<=.f64 z #s(literal 519999999999999967972319583654650286587951527928992692472643584 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 -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 519999999999999967972319583654650286587951527928992692472643584 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 -7526485800425553/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 336999333339383/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #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))))
(if (<=.f64 y #s(literal -5584463537939415/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 12200 binary64)) #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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 z #s(literal -6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) #s(approx (+ ( (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) 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)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 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)))) (if (<=.f64 z #s(literal 519999999999999967972319583654650286587951527928992692472643584 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 -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))))) (if (<=.f64 z #s(literal 519999999999999967972319583654650286587951527928992692472643584 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 z #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 519999999999999967972319583654650286587951527928992692472643584 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 -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 519999999999999967972319583654650286587951527928992692472643584 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 z #s(literal -7526485800425553/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 336999333339383/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #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))))
(if (<=.f64 z #s(literal -7526485800425553/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 336999333339383/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -5584463537939415/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 12200 binary64)) #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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -5584463537939415/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 12200 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) 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))
(if (<=.f64 z #s(literal -6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) #s(approx (+ ( (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))))
(if (<=.f64 z #s(literal -6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (+ ( (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) 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)))

soundness944.0ms (15.7%)

Memory

14.1MiB live, 14.1MiB allocated

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
0	272	3641
1	908	3596
2	2890	3537
0	8216	3286
0	756	7735
1	2628	7510
0	8483	7173
0	512	5639
1	1651	5518
2	6171	5433
0	8482	5138
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 368 to 206 computations (44% saved)

preprocess71.0ms (1.2%)

Memory: 42.5MiB live, 42.5MiB allocated
Compiler: Compiled 340 to 128 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample843.0ms (14%)

explain113.0ms (1.9%)

preprocess39.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize27.0ms (0.4%)

series9.0ms (0.2%)

simplify124.0ms (2.1%)

rewrite139.0ms (2.3%)

eval27.0ms (0.4%)

prune20.0ms (0.3%)

simplify95.0ms (1.6%)

localize106.0ms (1.8%)

series69.0ms (1.1%)

simplify164.0ms (2.7%)

rewrite187.0ms (3.1%)

eval312.0ms (5.2%)

prune107.0ms (1.8%)

simplify90.0ms (1.5%)

localize93.0ms (1.5%)

series41.0ms (0.7%)

simplify154.0ms (2.6%)

rewrite171.0ms (2.8%)

eval198.0ms (3.3%)

prune91.0ms (1.5%)

simplify293.0ms (4.9%)

localize115.0ms (1.9%)

series260.0ms (4.3%)

simplify146.0ms (2.4%)

rewrite160.0ms (2.7%)

eval234.0ms (3.9%)

prune99.0ms (1.6%)

regimes80.0ms (1.3%)

regimes46.0ms (0.8%)

regimes45.0ms (0.7%)

regimes12.0ms (0.2%)

regimes40.0ms (0.7%)

regimes29.0ms (0.5%)

regimes36.0ms (0.6%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch40.0ms (0.7%)

bsearch3.0ms (0%)

bsearch32.0ms (0.5%)

bsearch43.0ms (0.7%)

bsearch24.0ms (0.4%)

simplify30.0ms (0.5%)

soundness944.0ms (15.7%)

preprocess71.0ms (1.2%)

end0.0ms (0%)

Profiling