Metrics for Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample838.0ms (15.8%)

Memory

297.6MiB live, 297.6MiB allocated

Samples

614.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

ival-cos: 163.0ms (36.8% of total)

ival-sin: 145.0ms (32.7% of total)

ival-mult: 96.0ms (21.6% of total)

ival-add: 31.0ms (7% of total)

ival-true: 6.0ms (1.4% of total)

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

Bogosity

explain112.0ms (2.1%)

Memory

51.4MiB live, 51.4MiB allocated

FPErrors

Click to see full error table

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

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

43.0ms

512×

valid

Compiler

Compiled 133 to 52 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 10.0ms (35.2% of total)

ival-cos: 9.0ms (31.7% of total)

ival-mult: 6.0ms (21.1% of total)

ival-add: 2.0ms (7% 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	688	81
6	861	81
7	947	81
8	1025	81
9	1091	81
10	1105	81
11	1110	81
12	1112	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 (cos.f64 y)) (.f64 z (sin.f64 y)))

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (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 (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	128	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.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 (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

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

localize27.0ms (0.5%)

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 (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.109375	(*.f64 x (cos.f64 y))
accuracy	0.12890625	(*.f64 z (sin.f64 y))

Samples

22.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-cos: 5.0ms (35.1% of total)

ival-sin: 5.0ms (35.1% of total)

ival-mult: 3.0ms (21.1% of total)

ival-add: 1.0ms (7% of total)

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

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

series9.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify133.0ms (2.5%)

Memory

37.9MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	891	610
3	2076	604
4	3745	604
5	6377	604
0	8794	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite142.0ms (2.7%)

Memory

56.0MiB live, 56.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

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

Outputs
#<batchref>
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eval31.0ms (0.6%)

Memory: 23.5MiB live, 23.5MiB allocated
Compiler: Compiled 8 272 to 560 computations (93.2% saved)

prune26.0ms (0.5%)

Memory

22.4MiB live, 22.4MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	254	16	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	16	271

Accuracy

99.9%

Counts

271 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.2%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	82.3%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
	55.5%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	55.9%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
▶	35.7%	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))))
	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
	77.6%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
▶	55.8%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
	35.7%	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	50.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	50.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	52.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
▶	43.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	58.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 652 to 400 computations (38.7% saved)

simplify98.0ms (1.9%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	287
0	53	266
1	95	265
2	233	263
3	820	263
4	2235	263
5	5292	263
6	7316	263
0	8158	263

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (1.9%)

Memory

37.7MiB live, 37.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(*.f64 (sin.f64 y) z)
accuracy	0.23835761722130416	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
accuracy	3.6952918583020584	(+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)))
accuracy	40.14708447045622	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))))
accuracy	0.22722626953688402	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	2.6445209291510294	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy	28.005736521546293	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
accuracy	0	(sin.f64 y)
accuracy	0.12890625	(*.f64 (sin.f64 y) z)
accuracy	35.89220862214785	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
accuracy	0	(fma.f64 z y x)
accuracy	30.6084465684528	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0703125	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.109375	(*.f64 (cos.f64 y) x)

Samples

73.0ms

256×

valid

Compiler

Compiled 552 to 59 computations (89.3% saved)

Precisions

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

ival-mult: 12.0ms (23.7% of total)

ival-pow: 8.0ms (15.8% of total)

ival-add: 6.0ms (11.8% of total)

ival-sin: 6.0ms (11.8% of total)

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

ival-pow2: 5.0ms (9.9% of total)

ival-div: 3.0ms (5.9% of total)

ival-sub: 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)

series71.0ms (1.3%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

17 → 516

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))
7.0ms	y	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))
7.0ms	y	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))
6.0ms	y	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))
5.0ms	z	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x)))))

simplify153.0ms (2.9%)

Memory

53.2MiB live, 53.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	6658
1	2226	6271
0	8444	5967

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 504

Calls

Call 1

Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* (pow x 2) (pow (cos y) 2))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* (pow x 3) (pow (cos y) 3))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z)))))
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(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x)))))
(* (pow x 3) (pow (cos y) 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))

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

rewrite203.0ms (3.8%)

Memory

80.4MiB live, 80.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	187
0	53	140
1	214	139
2	1518	139
0	8385	139

Stop Event

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

Counts

17 → 946

Calls

Call 1

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

Outputs
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eval248.0ms (4.7%)

Memory: 166.2MiB live, 166.2MiB allocated
Compiler: Compiled 65 977 to 3 427 computations (94.8% saved)

prune92.0ms (1.7%)

Memory

93.8MiB live, 93.8MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 951	19	1 970
Fresh	8	3	11
Picked	2	3	5
Done	0	0	0
Total	1 961	25	1 986

Accuracy

100.0%

Counts

1 986 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.2%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
	49.3%	(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
	76.8%	(fma.f64 (sin.f64 y) z (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	77.6%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	82.3%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	28.2%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) (.f64 (cos.f64 y) x)))))
	30.2%	(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
▶	20.8%	(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
	50.6%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
	84.2%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
▶	88.4%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	58.3%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
▶	50.6%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
✓	52.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	21.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	52.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	22.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) z))
✓	43.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	43.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
▶	19.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	19.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
	19.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
	45.4%	#s(approx (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))

Compiler

Compiled 712 to 528 computations (25.8% saved)

simplify130.0ms (2.5%)

Memory

31.7MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
cost-diff	128	(neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
cost-diff	320	(.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
cost-diff	320	(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
cost-diff	0	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff	0	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	345
0	92	338
1	155	329
2	328	325
3	883	325
4	2060	323
5	3914	323
6	6618	323
0	8152	320

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (2.8%)

Memory

51.7MiB live, 51.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.28125	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	9.764411112761357	(.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
accuracy	28.005736521546293	(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
accuracy	33.37656858435149	#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
accuracy	0	(cos.f64 y)
accuracy	0	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
accuracy	0.2401159100033448	(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
accuracy	7.169909565892739	(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.046875	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy	0.16015625	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	31.587600886689128	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy	0	(*.f64 z y)
accuracy	28.969285714666892	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	30.6084465684528	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	0.0703125	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.109375	(*.f64 (cos.f64 y) x)
accuracy	0.18359375	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.234375	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Samples

109.0ms

256×

valid

Compiler

Compiled 554 to 88 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 24.0ms (28.7% of total)

ival-pow: 12.0ms (14.4% of total)

ival-add: 10.0ms (12% of total)

ival-div: 7.0ms (8.4% of total)

ival-sin: 7.0ms (8.4% of total)

ival-pow2: 7.0ms (8.4% of total)

ival-cos: 5.0ms (6% of total)

const: 4.0ms (4.8% of total)

ival-neg: 3.0ms (3.6% of total)

ival-sub: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series68.0ms (1.3%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

21 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))
6.0ms	y	@	-inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))
6.0ms	y	@	inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))
4.0ms	z	@	-inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))
4.0ms	z	@	inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2))

simplify157.0ms (3%)

Memory

54.5MiB live, 54.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	707	7659
1	2423	7219
0	8789	6756

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 632

Calls

Call 1

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

Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(fma.f64 (/.f64 (neg.f64 z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(* -1/2 (* x y))
(.f64 (.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y))) #s(literal 0 binary64)) z (sin.f64 y)) z (.f64 (cos.f64 y) x))
(/ (* x (cos y)) z)
(/.f64 (*.f64 (cos.f64 y) x) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
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(.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
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(.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* (pow x 2) (pow (cos y) 2))
(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x z) (.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
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(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 x))
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(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
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(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(* (pow x 2) (pow (cos y) 2))
(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
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(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
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rewrite164.0ms (3.1%)

Memory

63.8MiB live, 63.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	273
0	92	266
1	338	233
2	2299	233
0	8964	231

Stop Event

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

Counts

21 → 702

Calls

Call 1

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

Outputs
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eval200.0ms (3.8%)

Memory: 129.2MiB live, 129.2MiB allocated
Compiler: Compiled 40 888 to 3 253 computations (92% saved)

prune100.0ms (1.9%)

Memory

90.9MiB live, 90.9MiB allocated

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1 454	23	1 477
Fresh	6	11	17
Picked	4	1	5
Done	0	3	3
Total	1 464	38	1 502

Accuracy

100.0%

Counts

1 502 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.2%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
	49.3%	(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	77.6%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	46.1%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	46.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	58.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
	38.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))))
▶	43.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
	58.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	30.2%	(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
	9.4%	(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z) (.f64 (cos.f64 y) x)))))
	20.8%	(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (sin y) z) (* (cos y) x))) (*.f64 (neg.f64 z) (sin.f64 y)))))
	50.6%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
	64.8%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
▶	88.7%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z))
▶	88.7%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	84.2%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
	44.3%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z))
	88.7%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 x (.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) (sin.f64 y)) z))
	69.1%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
	58.3%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
	45.9%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
	47.3%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
	32.0%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
	51.1%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
	20.5%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (.f64 y y))) y x))
	34.1%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
▶	34.1%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
✓	52.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	21.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	52.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
✓	43.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
✓	19.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
▶	19.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
	19.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))

Compiler

Compiled 1 013 to 808 computations (20.2% saved)

simplify115.0ms (2.2%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)
cost-diff	6080	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y))
cost-diff	6848	(/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
cost-diff	0	#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
cost-diff	0	(.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)))
cost-diff	0	(fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z)
cost-diff	0	#s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x))
cost-diff	0	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
cost-diff	0	(/.f64 (cos.f64 y) z)
cost-diff	0	(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
cost-diff	0	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	404
0	90	392
1	165	392
2	346	390
3	847	383
4	1655	383
5	2768	383
6	4365	383
7	6726	383
0	8332	364

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (3%)

Memory

53.6MiB live, 53.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 x #s(literal -1 binary64))
accuracy	0.13671875	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y))
accuracy	0.236660009768442	(/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64)))
accuracy	7.169909565892739	(*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)
accuracy	0.12890625	(*.f64 (sin.f64 y) z)
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
accuracy	0.234375	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
accuracy	35.89040106944148	#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
accuracy	0.04296875	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	3.2671614714482224	(.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)))
accuracy	31.62551356727223	#s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))
accuracy	35.89220862214785	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
accuracy	0	(*.f64 y y)
accuracy	6.690116656122408	(.f64 (.f64 y y) x)
accuracy	26.827802683141183	#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x))
accuracy	31.587600886689128	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
accuracy	0	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
accuracy	0.11328125	(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
accuracy	0.1171875	(/.f64 (cos.f64 y) z)
accuracy	7.169909565892739	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)

Samples

124.0ms

256×

valid

Compiler

Compiled 556 to 93 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 33.0ms (33.3% of total)

ival-pow: 20.0ms (20.2% of total)

ival-add: 14.0ms (14.1% of total)

ival-div: 8.0ms (8.1% of total)

ival-sin: 7.0ms (7.1% of total)

const: 7.0ms (7.1% of total)

ival-cos: 6.0ms (6% of total)

ival-pow2: 3.0ms (3% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series64.0ms (1.2%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

23 → 648

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) (patch (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) (patch #s(approx (/ (+ (pow ( (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) (patch (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x))) (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x) (patch (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)) (patch #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) (patch (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) #<representation binary64>) () ())
#s(alt (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (patch (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) z) (patch (.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) (patch (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) (patch #s(approx (/ (+ (pow ( (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) (patch (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) (patch (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) (patch (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) (patch (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) (patch #s(approx (/ (+ (pow ( (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos y)) z) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) (patch (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) (patch (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) (patch (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) (patch (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) (patch #s(approx (/ (+ (pow ( (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) (patch #s(approx (/ (+ (pow ( (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) (taylor -inf x) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) (patch #s(approx (/ (+ (pow ( (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) (taylor -inf x) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) (patch #s(approx (/ (+ (pow ( (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (pow x -1))
6.0ms	y	@	inf	((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (pow x -1))
6.0ms	y	@	-inf	((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (pow x -1))
4.0ms	z	@	inf	((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (pow x -1))
4.0ms	z	@	0	((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (pow x -1))

simplify146.0ms (2.8%)

Memory

47.4MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	7562
1	1988	6992
2	7604	6982
0	8042	6485

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 637

Calls

Call 1

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

rewrite146.0ms (2.8%)

Memory

52.6MiB live, 52.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	356
0	90	344
1	377	290
2	2747	290
0	8312	278

Stop Event

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

Counts

23 → 415

Calls

Call 1

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

Outputs
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eval148.0ms (2.8%)

Memory: 93.5MiB live, 93.5MiB allocated
Compiler: Compiled 18 382 to 2 384 computations (87% saved)

prune95.0ms (1.8%)

Memory

78.5MiB live, 78.5MiB allocated

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1 068	20	1 088
Fresh	14	15	29
Picked	3	2	5
Done	0	4	4
Total	1 085	41	1 126

Accuracy

100.0%

Counts

1 126 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.2%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
	49.3%	(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	77.6%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	46.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	33.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	58.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
	43.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z)))
	43.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y))))
	43.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))))))
✓	43.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
	58.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	19.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	19.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
	19.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
	19.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
	30.2%	(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
	50.6%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
	64.8%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
	88.7%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y)) z))
	90.5%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
✓	88.7%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	88.7%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z))
	88.7%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) x (sin.f64 y)) z))
	88.7%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (+.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)) z))
	58.3%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
	45.9%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
	47.3%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
	32.0%	#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
	20.5%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (.f64 y y))) y x))
	34.1%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	2.7%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
✓	52.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	21.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
✓	43.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
✓	19.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	19.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 z (.f64 y y)) z) y)))
	19.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y)))) (*.f64 y y) z) y)))
	19.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))

Compiler

Compiled 1 721 to 774 computations (55% saved)

regimes93.0ms (1.8%)

Memory

35.3MiB live, 35.3MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 z (.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (+.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 x (.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) (sin.f64 y)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) x (sin.f64 y)) z))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y)) z))
(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (sin y) z) (* (cos y) x))) (*.f64 (neg.f64 z) (sin.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) z))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
(fma.f64 (sin.f64 y) z (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x))
(.f64 #s(approx (neg (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2))) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z) (.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
#s(approx (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) (.f64 (cos.f64 y) x)))))
(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes49.0ms (0.9%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 z (.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))

Outputs

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

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

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

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	z
12.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
89.6%	3	`x`
82.9%	4	`y`
89.1%	3	`z`
77.6%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes43.0ms (0.8%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 z (.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.6%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
81.6%	5	`y`
74.9%	3	`z`
80.6%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.6%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 z (.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Outputs

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

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

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

Calls

3 calls:

9.0ms	x
9.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
69.0%	3	`z`
74.9%	3	`y`
69.4%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes39.0ms (0.7%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y)))) (*.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 z (.f64 y y)) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y))))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (.f64 #s(approx (+ ( (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (.f64 y y))) y x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.2%	1	`z`
52.2%	1	`x`
52.2%	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 (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
19.7%	1	`y`
19.7%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
19.7%	1	`x`
19.7%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch43.0ms (0.8%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.99520320317134e+41	2.3378014705212747e+62
15.0ms	-9.423873243069685e+153	-6.526481622212868e+151

Samples

28.0ms

288×

valid

Compiler

Compiled 246 to 302 computations (-22.8% saved)

Precisions

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

ival-cos: 7.0ms (36.3% of total)

ival-sin: 6.0ms (31.1% of total)

ival-mult: 4.0ms (20.7% of total)

ival-add: 1.0ms (5.2% of total)

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

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

bsearch37.0ms (0.7%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.528695574079803e+28	4.258655926795692e+31
17.0ms	-5.772139200411518e-73	-1.9402543305835266e-76

Samples

24.0ms

256×

valid

Compiler

Compiled 172 to 238 computations (-38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 6.0ms (35.9% of total)

ival-sin: 5.0ms (29.9% of total)

ival-mult: 4.0ms (23.9% of total)

ival-add: 1.0ms (6% of total)

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

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

bsearch37.0ms (0.7%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0008105783715325085	81.16568437584831
17.0ms	-72.1402902541629	-5.309294607893827e-15

Samples

21.0ms

304×

valid

Compiler

Compiled 354 to 356 computations (-0.6% saved)

Precisions

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

ival-mult: 4.0ms (32.4% of total)

ival-cos: 3.0ms (24.3% of total)

ival-sin: 3.0ms (24.3% of total)

ival-add: 1.0ms (8.1% of total)

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

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

simplify30.0ms (0.6%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	204
1	65	204

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 x #s(literal -66000000000000004913278503893525292647078287974039582349968443312374119798109479511869634692552944302162267044557923625558857787122267095627516495265792 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 7499999999999999949157115057712209823462813314580480 binary64)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 110000000000000006409433382912 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5908722711110091/288230376151711744 binary64)) #s(approx (+ ( (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 x #s(literal -66000000000000004913278503893525292647078287974039582349968443312374119798109479511869634692552944302162267044557923625558857787122267095627516495265792 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 7499999999999999949157115057712209823462813314580480 binary64)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -66000000000000004913278503893525292647078287974039582349968443312374119798109479511869634692552944302162267044557923625558857787122267095627516495265792 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 7499999999999999949157115057712209823462813314580480 binary64)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 110000000000000006409433382912 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 110000000000000006409433382912 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5908722711110091/288230376151711744 binary64)) #s(approx (+ ( (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 5908722711110091/288230376151711744 binary64)) #s(approx (+ ( (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 (.f64 z y) #s(literal -1/6 binary64))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness667.0ms (12.6%)

Memory

8.8MiB live, 8.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	891	610
3	2076	604
4	3745	604
5	6377	604
0	8794	554
0	707	7659
1	2423	7219
0	8789	6756
0	643	6658
1	2226	6271
0	8444	5967
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Compiler

Compiled 218 to 127 computations (41.7% saved)

preprocess56.0ms (1.1%)

Memory: 34.9MiB live, 34.9MiB allocated
Compiler: Compiled 214 to 102 computations (52.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample838.0ms (15.8%)

explain112.0ms (2.1%)

preprocess39.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize27.0ms (0.5%)

series9.0ms (0.2%)

simplify133.0ms (2.5%)

rewrite142.0ms (2.7%)

eval31.0ms (0.6%)

prune26.0ms (0.5%)

simplify98.0ms (1.9%)

localize103.0ms (1.9%)

series71.0ms (1.3%)

simplify153.0ms (2.9%)

rewrite203.0ms (3.8%)

eval248.0ms (4.7%)

prune92.0ms (1.7%)

simplify130.0ms (2.5%)

localize147.0ms (2.8%)

series68.0ms (1.3%)

simplify157.0ms (3%)

rewrite164.0ms (3.1%)

eval200.0ms (3.8%)

prune100.0ms (1.9%)

simplify115.0ms (2.2%)

localize161.0ms (3%)

series64.0ms (1.2%)

simplify146.0ms (2.8%)

rewrite146.0ms (2.8%)

eval148.0ms (2.8%)

prune95.0ms (1.8%)

regimes93.0ms (1.8%)

regimes49.0ms (0.9%)

regimes43.0ms (0.8%)

regimes31.0ms (0.6%)

regimes39.0ms (0.7%)

regimes8.0ms (0.1%)

bsearch43.0ms (0.8%)

bsearch37.0ms (0.7%)

bsearch37.0ms (0.7%)

simplify30.0ms (0.6%)

soundness667.0ms (12.6%)

preprocess56.0ms (1.1%)

end0.0ms (0%)

Profiling