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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (16.2%)

Memory

-141.8MiB live, 1 464.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 848.0ms

ival-add: 298.0ms (35.2% of total)

ival-cos: 235.0ms (27.7% of total)

ival-sin: 186.0ms (21.9% of total)

ival-mult: 119.0ms (14% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain103.0ms (1.2%)

Memory

28.1MiB live, 149.9MiB 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

52.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 12.0ms (33.4% of total)

ival-sin: 12.0ms (33.4% of total)

ival-mult: 9.0ms (25.1% of total)

ival-add: 2.0ms (5.6% of total)

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

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

preprocess58.0ms (0.7%)

Memory

-23.9MiB live, 54.5MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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

4.8MiB live, 4.8MiB 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)

localize44.0ms (0.5%)

Memory

-13.7MiB live, 61.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.09765625	(*.f64 z (sin.f64 y))
accuracy	0.1171875	(*.f64 x (cos.f64 y))

Samples

34.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (35.1% of total)

ival-sin: 6.0ms (35.1% of total)

ival-mult: 3.0ms (17.5% of total)

ival-add: 1.0ms (5.8% of total)

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

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

series11.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB 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	y	@	inf	((+ (* 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	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)))

simplify242.0ms (2.8%)

Memory

-29.4MiB live, 180.3MiB 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)

rewrite303.0ms (3.4%)

Memory

21.3MiB live, 225.7MiB 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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eval83.0ms (0.9%)

Memory: 0.3MiB live, 74.3MiB allocated
Compiler: Compiled 8 272 to 560 computations (93.2% saved)

prune19.0ms (0.2%)

Memory

17.2MiB live, 53.9MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	255	15	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	15	271

Accuracy

99.9%

Counts

271 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.5%	(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)))))
	57.1%	(fma.f64 (.f64 (.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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)))))
▶	57.1%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (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 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	56.7%	(/.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)))
▶	57.2%	(/.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)))
	33.6%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (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 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #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)))
	38.5%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))))
	57.2%	(.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 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
	45.0%	#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))
	45.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	46.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	44.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
▶	57.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 700 to 374 computations (46.6% saved)

simplify172.0ms (2%)

Memory

-6.9MiB live, 233.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
cost-diff	0	(*.f64 x x)
cost-diff	128	(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))))
cost-diff	41920	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (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)))))
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(pow.f64 (*.f64 (sin.f64 y) z) #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	27392	(/.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)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
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	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	257
0	52	213
1	90	213
2	174	212
3	530	212
4	1603	212
5	4316	212
6	6134	212
7	7909	212
0	8203	212

Stop Event

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

Calls

Call 1

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

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

localize208.0ms (2.4%)

Memory

-25.0MiB live, 255.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.258476269536884	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	13.740350277831693	(/.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)))
accuracy	18.17417647646178	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (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)))))
accuracy	0.13671875	(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
accuracy	0.258476269536884	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	1.9960854933208234	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy	27.32446819887383	(/.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)))
accuracy	0	(cos.f64 y)
accuracy	0.1171875	(*.f64 (cos.f64 y) x)
accuracy	27.443820575122484	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	0	(fma.f64 z y x)
accuracy	34.24237141384725	#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 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy	0.09765625	(*.f64 (sin.f64 y) z)

Samples

164.0ms

256×

valid

Compiler

Compiled 258 to 31 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 85.0ms (69.1% of total)

ival-sin: 9.0ms (7.3% of total)

ival-cos: 7.0ms (5.7% of total)

ival-pow2: 7.0ms (5.7% of total)

ival-add: 6.0ms (4.9% of total)

ival-div: 5.0ms (4.1% of total)

ival-sub: 2.0ms (1.6% of total)

ival-neg: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (1%)

Memory

8.3MiB live, 84.3MiB allocated

Counts

18 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))
7.0ms	y	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))
6.0ms	z	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))
5.0ms	y	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))
5.0ms	x	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))

simplify216.0ms (2.4%)

Memory

43.2MiB live, 229.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	715	7152
1	2457	6851
0	8340	6543

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 493

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))
(* 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)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin 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)))
(* (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))
(* 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 (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y)))))
(/ (cos y) x)
(+ (/ (cos y) x) (/ (* z (sin y)) (pow x 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (cos y))) (* -1 (/ (sin y) (pow x 2))))) (/ (cos y) x))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 2))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (cos y)))))) (* -1 (/ (sin y) (pow x 2))))) (/ (cos y) x))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* 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))
(* 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)))
(* 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) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* (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)))
(* (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))
(* z (sin y))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (sin y))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(* -1 (/ (pow (cos y) 2) (* z (sin y))))
(/ (+ (* -1 (/ (* x (pow (cos y) 3)) (* z (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (sin y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 2) (sin y)))) (/ (* x (pow (cos y) 3)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 5)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (sin y)))) (+ (/ (* x (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 4)) (* (pow z 2) (pow (sin y) 3))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (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))
(* 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))
(* -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)))))
(* (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)))
(* (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))
(* z (sin y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* z (sin y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (/ (pow (cos y) 2) (* z (sin y))))
(* -1 (/ (+ (/ (* x (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (pow (cos y) 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (* z (pow (sin y) 3)))) (/ (* x (pow (cos y) 3)) (pow (sin y) 2))) z)) (/ (pow (cos y) 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 5)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (pow (sin y) 3)))) z)) (/ (* x (pow (cos y) 3)) (pow (sin y) 2))) z)) (/ (pow (cos y) 2) (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* 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)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
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))))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/2 (/ 1 x))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1/2 (/ z (pow x 2))) (+ (* 1/6 (/ z (pow x 2))) (/ (* z (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/2 (/ 1 x)))) x))))) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/2 (/ 1 x))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(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)))
(* y z)
(* y (+ z (/ x y)))
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(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
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(* 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))
(* -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))
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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))
(* -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)
(* 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)))))
(*.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))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(.f64 (neg.f64 (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)))
(.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)))
(.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)))
(.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))
(* 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 (/ (- (+ (* -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 (sin.f64 y) (/.f64 z x) (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 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(.f64 (.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (cos.f64 y)) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)))) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) x) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(* -1 (/ (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))) x))
(/.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (+ (* -1 (cos y)) (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) (* -1 (* z (sin y)))) x))) x))
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(* -1 (/ (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* -1 (* z (sin y)))) x))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x) (*.f64 (sin.f64 y) z)) (neg.f64 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) (pow (cos y) 2))
(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (cos y) 2))
(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (pow (cos y) 2))
(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (.f64 z z))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (cos.f64 y)) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)))) x)) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) x)

rewrite359.0ms (4.1%)

Memory

-47.1MiB live, 366.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	189
0	52	145
1	211	145
2	1512	145
0	8633	145

Stop Event

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

Counts

18 → 1 418

Calls

Call 1

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

Outputs
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eval455.0ms (5.2%)

Memory: 94.6MiB live, 870.1MiB allocated
Compiler: Compiled 103 436 to 3 406 computations (96.7% saved)

prune112.0ms (1.3%)

Memory

-23.2MiB live, 346.5MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	2 358	30	2 388
Fresh	9	1	10
Picked	2	3	5
Done	0	0	0
Total	2 369	34	2 403

Accuracy

100.0%

Counts

2 403 → 34

Alt Table

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Status	Accuracy	Program
	81.6%	(fma.f64 (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y)))) x (/.f64 (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)))))
	70.9%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
	56.6%	(fma.f64 (.f64 x x) #s(approx (/ (pow (cos y) 2) (+ ( (neg z) (sin y)) (* (cos y) x))) (/.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)))))
	59.9%	(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	24.6%	(/.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) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) #s(literal 2 binary64))))
	57.2%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	57.2%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (cos.f64 y)) x) (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	57.2%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) (cos.f64 y)) (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
▶	24.0%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	31.6%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (-.f64 (.f64 (sin.f64 y) z) (.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)))
▶	20.0%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
	86.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
	88.8%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	44.5%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
	26.5%	#s(approx (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y z) y x))
	45.0%	#s(approx (+ (* (cos y) x) (* (sin 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))
	45.1%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
✓	46.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	27.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
	46.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	41.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	57.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	29.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	30.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	31.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	45.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
▶	41.1%	#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))))
	42.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
	35.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
▶	17.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	30.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	29.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 002 to 730 computations (27.1% saved)

simplify142.0ms (1.6%)

Memory

1.8MiB live, 231.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
cost-diff	0	#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
cost-diff	0	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
cost-diff	320	(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
cost-diff	0	(fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)
cost-diff	0	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
cost-diff	128	(+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))
cost-diff	512	(neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))))
cost-diff	0	(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
cost-diff	0	#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))))
cost-diff	1280	(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 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	56	418
0	94	420
1	154	406
2	306	402
3	895	384
4	2676	384
5	6082	372
0	8219	360

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

localize298.0ms (3.4%)

Memory

-10.3MiB live, 481.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.9256571975250452	(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
accuracy	4.366922750212829	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
accuracy	25.69674682434507	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
accuracy	32.23873813305339	#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
accuracy	7.492251962662976	(/.f64 (*.f64 (neg.f64 z) z) x)
accuracy	17.241020954815575	(/.f64 (fma.f64 z z (*.f64 x x)) x)
accuracy	31.12609222800648	(+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))
accuracy	33.41846339009355	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
accuracy	0	#s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
accuracy	2.656721898748702	(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
accuracy	3.8442360948231706	(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
accuracy	32.524886278893284	#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))))
accuracy	0	(*.f64 z y)
accuracy	28.005409381137024	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	32.524886278893284	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	0.05859375	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.1171875	(*.f64 (cos.f64 y) x)
accuracy	0.25390625	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Samples

152.0ms	126×	1	valid
75.0ms	120×	0	valid
4.0ms	7×	1	exit
2.0ms	1×	4	exit
2.0ms	2×	2	valid

Compiler

Compiled 353 to 50 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-mult: 52.0ms (25.9% of total)

ival-pow: 31.0ms (15.4% of total)

ival-sin: 30.0ms (14.9% of total)

adjust: 23.0ms (11.5% of total)

ival-add: 21.0ms (10.5% of total)

ival-div: 14.0ms (7% of total)

ival-pow2: 12.0ms (6% of total)

ival-cos: 9.0ms (4.5% of total)

ival-neg: 5.0ms (2.5% of total)

ival-sub: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series86.0ms (1%)

Memory

5.0MiB live, 122.7MiB allocated

Counts

22 → 672

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	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) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* (neg z) z) x))
11.0ms	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) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* (neg z) z) x))
7.0ms	x	@	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) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* (neg z) z) x))
6.0ms	x	@	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) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* (neg z) z) x))
5.0ms	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) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* (neg z) z) x))

simplify219.0ms (2.5%)

Memory

-55.9MiB live, 229.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	6691
1	1684	6468
2	5892	6359
0	8409	6015

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 648

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

rewrite365.0ms (4.1%)

Memory

16.3MiB live, 356.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	319
0	94	296
1	345	292
2	2588	292
0	9764	284

Stop Event

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

Counts

22 → 660

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

Outputs
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eval358.0ms (4.1%)

Memory: 24.8MiB live, 271.6MiB allocated
Compiler: Compiled 35 488 to 3 432 computations (90.3% saved)

prune113.0ms (1.3%)

Memory

1.6MiB live, 165.9MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1 359	18	1 377
Fresh	9	17	26
Picked	3	2	5
Done	0	3	3
Total	1 371	40	1 411

Accuracy

100.0%

Counts

1 411 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.6%	(fma.f64 (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y)))) x (/.f64 (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)))))
	66.7%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 z (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))))
▶	59.9%	(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	24.6%	(/.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) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) #s(literal 2 binary64))))
	57.2%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (cos.f64 y)) x) (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	57.2%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) (cos.f64 y)) (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
✓	24.0%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	13.0%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) #s(approx ( (cos y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x))))
	31.6%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 x) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	51.1%	(/.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)))
	31.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
	57.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	56.9%	(/.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))))
	31.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
▶	19.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
	45.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
▶	90.4%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
	88.7%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	86.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
	88.8%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	44.5%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
	26.5%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) y z) y x)))
	30.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x)))
	2.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) (.f64 y y))))
▶	2.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
	45.0%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (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))
✓	46.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	27.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
	46.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	41.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	57.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
▶	29.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	31.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	41.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
	42.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
	35.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	17.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	30.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	29.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 128 to 832 computations (26.2% saved)

simplify163.0ms (1.8%)

Memory

10.4MiB live, 229.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 z (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
cost-diff	7104	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
cost-diff	128	(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))))
cost-diff	1024	(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (*.f64 x x))))
cost-diff	2496	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
cost-diff	0	#s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))
cost-diff	0	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
cost-diff	0	(/.f64 (sin.f64 y) x)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
cost-diff	0	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	458
0	98	460
1	170	447
2	370	431
3	1296	364
4	3858	274
5	7870	274
0	8276	273

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
z
(cos.f64 y)
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
(fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)
(fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z)
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 x (fma.f64 z z (*.f64 x x)))
x
(fma.f64 z z (*.f64 x x))
z
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x))
#s(literal -1/2 binary64)
(/.f64 (*.f64 (neg.f64 z) z) x)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
y
(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(cos.f64 y)
y
x
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
z
(cos.f64 y)
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(.f64 #s(approx (cos y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
#s(approx (cos y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x))
(fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)
(fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (*.f64 x x))))
(fma.f64 (/.f64 z x) z x)
#s(literal 1 binary64)
(/.f64 x (fma.f64 z z (*.f64 x x)))
(/.f64 x (fma.f64 x x (*.f64 z z)))
x
(fma.f64 z z (*.f64 x x))
(fma.f64 x x (*.f64 z z))
z
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x))
#s(literal -1/2 binary64)
(/.f64 (*.f64 (neg.f64 z) z) x)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
y
(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
#s(literal 2 binary64)

localize235.0ms (2.7%)

Memory

-48.3MiB live, 334.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
accuracy	0.04296875	(*.f64 z (sin.f64 y))
accuracy	0.24447250976844204	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
accuracy	2.4474554306665124	(sqrt.f64 (*.f64 z (sin.f64 y)))
accuracy	4.054086296794837	(/.f64 (*.f64 (neg.f64 z) z) x)
accuracy	9.610074011037586	(/.f64 x (fma.f64 z z (*.f64 x x)))
accuracy	16.56591261742525	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))
accuracy	18.91513505617976	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
accuracy	0.05859375	(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy	0.07421875	(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
accuracy	13.971413174189879	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
accuracy	19.111775885854772	#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	18.91513505617976	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
accuracy	32.93684724353796	#s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))
accuracy	0	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
accuracy	0.03515625	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
accuracy	0.0625	(/.f64 (sin.f64 y) x)
accuracy	1.9964017293928107	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)

Samples

89.0ms	68×	1	valid
75.0ms	118×	0	invalid
29.0ms	67×	0	valid
2.0ms	3×	1	exit

Compiler

Compiled 371 to 57 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 66.0ms (39.4% of total)

ival-div: 25.0ms (14.9% of total)

ival-add: 22.0ms (13.1% of total)

ival-neg: 11.0ms (6.6% of total)

ival-pow2: 9.0ms (5.4% of total)

ival-sin: 9.0ms (5.4% of total)

ival-cos: 8.0ms (4.8% of total)

adjust: 7.0ms (4.2% of total)

const: 5.0ms (3% of total)

ival-sub: 3.0ms (1.8% of total)

ival-sqrt: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series58.0ms (0.7%)

Memory

31.5MiB live, 108.8MiB allocated

Counts

22 → 576

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) (patch #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x) (patch (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) (patch (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ())
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#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 z (sin.f64 y))) (patch (sqrt.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 z z (.f64 x x))) (patch (/.f64 x (fma.f64 z z (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 z) z) x) (patch (/.f64 (.f64 (neg.f64 z) z) x) #<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 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())) ())
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#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) (patch #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* (pow y 2) (+ x (* -1/2 x)))) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) (patch #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* (pow y 2) (+ x (* -1/2 x)))) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) (patch #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* (pow y 2) (+ x (* -1/2 x)))) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) (patch #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow z 2) x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow z 2) x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (+ x (* -1/2 x))) (taylor 0 z) (#s(alt (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) (patch (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (+ x (* -1/2 x))) (taylor 0 z) (#s(alt (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) (patch (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) (patch (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) #<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) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) #<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) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) #<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) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) (patch #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z (.f64 x x))) (patch (/.f64 x (fma.f64 z z (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow z 2) (pow x 2)) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z (.f64 x x))) (patch (/.f64 x (fma.f64 z z (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (pow z 4) (pow x 4))) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z (.f64 x x))) (patch (/.f64 x (fma.f64 z z (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow z 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 4) (pow x 4))))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z (.f64 x x))) (patch (/.f64 x (fma.f64 z z (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 z) z) x) (patch (/.f64 (.f64 (neg.f64 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 z) z) x) (patch (/.f64 (.f64 (neg.f64 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 z) z) x) (patch (/.f64 (.f64 (neg.f64 z) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 (neg.f64 z) z) x) (patch (/.f64 (.f64 (neg.f64 z) z) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ 1 (/ x (+ (* z z) (* x x)))) (neg (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (/ x (+ (* z z) (* x x))) (/ (* (neg z) z) x) (* z (sin y)))
5.0ms	x	@	0	((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ 1 (/ x (+ (* z z) (* x x)))) (neg (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (/ x (+ (* z z) (* x x))) (/ (* (neg z) z) x) (* z (sin y)))
4.0ms	x	@	-inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ 1 (/ x (+ (* z z) (* x x)))) (neg (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (/ x (+ (* z z) (* x x))) (/ (* (neg z) z) x) (* z (sin y)))
4.0ms	y	@	inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ 1 (/ x (+ (* z z) (* x x)))) (neg (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (/ x (+ (* z z) (* x x))) (/ (* (neg z) z) x) (* z (sin y)))
4.0ms	z	@	0	((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x))) (/ 1 (/ x (+ (* z z) (* x x)))) (neg (+ (/ 1 (/ x (+ (* z z) (* x x)))) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (/ x (+ (* z z) (* x x))) (/ (* (neg z) z) x) (* z (sin y)))

simplify227.0ms (2.6%)

Memory

14.4MiB live, 320.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	428	5629
1	1332	5427
2	4206	5353
0	8292	5021

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 565

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

rewrite210.0ms (2.4%)

Memory

-11.9MiB live, 312.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	356
0	98	344
1	415	292
2	2888	292
0	8345	287

Stop Event

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

Counts

22 → 612

Calls

Call 1

Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/.f64 (sin.f64 y) x)
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (*.f64 x x))))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(cos.f64 y)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(/.f64 x (fma.f64 z z (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 z) z) x)
(*.f64 z (sin.f64 y))

Outputs
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eval207.0ms (2.4%)

Memory: -6.0MiB live, 432.3MiB allocated
Compiler: Compiled 28 573 to 3 679 computations (87.1% saved)

prune77.0ms (0.9%)

Memory

-4.3MiB live, 232.1MiB allocated

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	1 180	12	1 192
Fresh	6	24	30
Picked	4	1	5
Done	0	5	5
Total	1 190	42	1 232

Accuracy

100.0%

Counts

1 232 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.7%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 z (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	44.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	57.2%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (cos.f64 y)) x) (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	57.2%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) (cos.f64 y)) (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
✓	24.0%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	31.6%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 x) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	51.1%	(/.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)))
	31.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
	57.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	56.9%	(/.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))))
	31.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	24.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* z z) (* x x))) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x)))) y z) y x))
	45.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
	76.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
	64.6%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
	88.7%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	90.4%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) z (cos.f64 y)) x))
	90.4%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) z (cos.f64 y)) x))
	86.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
	88.8%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	44.5%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
	39.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))) x))
	41.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
	35.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
	31.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
	26.5%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) y z) y x)))
	30.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x)))
	2.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) (.f64 y y))))
✓	2.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
	45.0%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (+ (* (/ (sin y) x) 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)))
✓	46.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	27.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
	46.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	41.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	57.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	29.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
	42.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
	35.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	17.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	30.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	29.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 880 to 770 computations (59% saved)

regimes98.0ms (1.1%)

Memory

10.5MiB live, 251.9MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x)))
#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 (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) 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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#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 (+ (* (cos y) x) (* (sin 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))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (+ (* (/ (sin y) x) 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 (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 z x)) y #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 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) (.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) y z) y x)))
#s(approx (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* z z) (* x x))) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) 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))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
(/.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))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) z (cos.f64 y)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) z (cos.f64 y)) x))
(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.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)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) #s(approx ( (cos y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x))))
(/.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 (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 x) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (-.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 (neg.f64 (sin.f64 y)) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
(fma.f64 (.f64 x x) #s(approx (/ (pow (cos y) 2) (+ ( (neg z) (sin y)) (* (cos y) x))) (/.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 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 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (-.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)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) (cos.f64 y)) (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (cos.f64 y)) x) (cos.f64 y))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
(/.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) (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) #s(literal 2 binary64))))
(/.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)))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (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)))))
(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 z (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))))
(fma.f64 (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y)))) x (/.f64 (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)))))
(fma.f64 (.f64 (.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (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 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (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 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))

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

Calls

4 calls:

26.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
23.0ms	x
23.0ms	z
21.0ms	y

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes55.0ms (0.6%)

Memory

-8.3MiB live, 123.3MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x)))
#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 (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) 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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#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 (+ (* (cos y) x) (* (sin 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))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (+ (* (/ (sin y) x) 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 (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 z x)) y #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 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) (.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) y z) y x)))
#s(approx (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* z z) (* x x))) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) 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))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
(/.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))))

Outputs

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

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

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

Calls

4 calls:

14.0ms	x
14.0ms	z
13.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	y

Results

Accuracy	Segments	Branch
81.7%	5	`x`
75.9%	4	`y`
78.8%	3	`z`
70.1%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes36.0ms (0.4%)

Memory

3.4MiB live, 42.2MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x)))
#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 (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) 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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#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 (+ (* (cos y) x) (* (sin 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))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (+ (* (/ (sin y) x) 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 (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 z x)) y #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 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) (.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) y z) y x)))
#s(approx (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* z z) (* x x))) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) 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))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) 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

2 calls:

23.0ms	z
11.0ms	x

Results

Accuracy	Segments	Branch
76.3%	3	`x`
75.8%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes91.0ms (1%)

Memory

-12.5MiB live, 65.3MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x)))
#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 (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) 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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#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 (+ (* (cos y) x) (* (sin 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))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (+ (* (/ (sin y) x) 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 (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 z x)) y #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 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) (.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) y z) y x)))
#s(approx (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* z z) (* x x))) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
#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 (+ (* 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 (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Calls

3 calls:

40.0ms	x
38.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
72.1%	3	`y`
67.4%	3	`z`
64.8%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes65.0ms (0.7%)

Memory

-5.0MiB live, 77.8MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) x)))
#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 (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) 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))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#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 (+ (* (cos y) x) (* (sin 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))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (+ (* (/ (sin y) x) 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 (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 z x)) y #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 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) (.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) x) y z) y x)))
#s(approx (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* z z) (* x x))) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z z (.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x)))) y z) y x))

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

Calls

4 calls:

23.0ms	x
20.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
10.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
46.5%	1	`x`
46.5%	1	`z`
46.5%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
46.5%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#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	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
31.9%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
36.2%	2	`z`
36.9%	3	`x`
33.9%	2	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.1%)

Memory

-22.1MiB live, 17.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))

#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:

6.0ms	y
2.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
17.5%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
17.5%	1	`y`
17.5%	1	`x`
17.5%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))

Outputs

#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.9%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
2.9%	1	`x`
2.9%	1	`y`
2.9%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch71.0ms (0.8%)

Memory

3.8MiB live, 84.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.325360003312474e-34	1.369653589993956e-31
40.0ms	-4.8379357707448345e+38	-53919922994171.086

Samples

39.0ms

304×

valid

Compiler

Compiled 316 to 356 computations (-12.7% saved)

Precisions

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

ival-cos: 8.0ms (37.4% of total)

ival-sin: 7.0ms (32.7% of total)

ival-mult: 4.0ms (18.7% of total)

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

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

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

bsearch64.0ms (0.7%)

Memory

-17.0MiB live, 61.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	1.3201616641784577e-40	1.3413696537041982e-39
23.0ms	-1.5273515144212732e-83	-1.6674712893984617e-85

Samples

27.0ms

208×

valid

Compiler

Compiled 142 to 196 computations (-38% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 13.0ms (59.8% of total)

ival-cos: 5.0ms (23% of total)

ival-mult: 3.0ms (13.8% of total)

ival-add: 1.0ms (4.6% of total)

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

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

bsearch51.0ms (0.6%)

Memory

10.7MiB live, 49.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.076091930251461e-5	65915.798209098
16.0ms	-72.00402195456304	-6.916338141483039e-9

Samples

36.0ms

320×

valid

Compiler

Compiled 412 to 394 computations (4.4% saved)

Precisions

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

ival-mult: 4.0ms (32.7% of total)

ival-cos: 3.0ms (24.5% of total)

ival-sin: 3.0ms (24.5% of total)

ival-add: 1.0ms (8.2% of total)

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

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

bsearch34.0ms (0.4%)

Memory

-15.2MiB live, 26.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.7224002866112124e+101	1.738100687977969e+107

Samples

13.0ms

144×

valid

Compiler

Compiled 102 to 149 computations (-46.1% saved)

Precisions

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

ival-cos: 4.0ms (41.7% of total)

ival-sin: 3.0ms (31.3% of total)

ival-mult: 2.0ms (20.9% of total)

ival-add: 1.0ms (10.4% of total)

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

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

simplify43.0ms (0.5%)

Memory

4.3MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	339
1	92	339

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -69000000000000000 binary64)) #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 8586322119319055/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -1941185018244923/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 3984488406251311/3064991081731777716716694054300618367237478244367204352 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 -1261007895663739/36028797018963968 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1062849512059437/9007199254740992 binary64)) #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 (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal 15599999999999999393310788732933930326079622357406320045399861807145239133788334169751127687644892364800 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -69000000000000000 binary64)) #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 8586322119319055/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))))
(if (<=.f64 z #s(literal -69000000000000000 binary64)) #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 8586322119319055/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))))
(if (<=.f64 x #s(literal -1941185018244923/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 3984488406251311/3064991081731777716716694054300618367237478244367204352 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 -1941185018244923/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 3984488406251311/3064991081731777716716694054300618367237478244367204352 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 -1261007895663739/36028797018963968 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1062849512059437/9007199254740992 binary64)) #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 (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1261007895663739/36028797018963968 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1062849512059437/9007199254740992 binary64)) #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 (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal 15599999999999999393310788732933930326079622357406320045399861807145239133788334169751127687644892364800 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* (neg z) z) x)))) y) z) y) x) #s(literal 0 binary64)))

soundness1.4s (15.9%)

Memory

39.0MiB live, 671.8MiB 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	428	5629
1	1332	5427
2	4206	5353
0	8292	5021
0	505	6691
1	1684	6468
2	5892	6359
0	8409	6015
0	715	7152
1	2457	6851
0	8340	6543
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
1×	iter limit
1×	node limit

Compiler

Compiled 377 to 190 computations (49.6% saved)

preprocess109.0ms (1.2%)

Memory: -28.1MiB live, 213.5MiB allocated
Compiler: Compiled 270 to 124 computations (54.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (16.2%)

explain103.0ms (1.2%)

preprocess58.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize44.0ms (0.5%)

series11.0ms (0.1%)

simplify242.0ms (2.8%)

rewrite303.0ms (3.4%)

eval83.0ms (0.9%)

prune19.0ms (0.2%)

simplify172.0ms (2%)

localize208.0ms (2.4%)

series84.0ms (1%)

simplify216.0ms (2.4%)

rewrite359.0ms (4.1%)

eval455.0ms (5.2%)

prune112.0ms (1.3%)

simplify142.0ms (1.6%)

localize298.0ms (3.4%)

series86.0ms (1%)

simplify219.0ms (2.5%)

rewrite365.0ms (4.1%)

eval358.0ms (4.1%)

prune113.0ms (1.3%)

simplify163.0ms (1.8%)

localize235.0ms (2.7%)

series58.0ms (0.7%)

simplify227.0ms (2.6%)

rewrite210.0ms (2.4%)

eval207.0ms (2.4%)

prune77.0ms (0.9%)

regimes98.0ms (1.1%)

regimes55.0ms (0.6%)

regimes36.0ms (0.4%)

regimes91.0ms (1%)

regimes65.0ms (0.7%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch71.0ms (0.8%)

bsearch64.0ms (0.7%)

bsearch51.0ms (0.6%)

bsearch34.0ms (0.4%)

simplify43.0ms (0.5%)

soundness1.4s (15.9%)

preprocess109.0ms (1.2%)

end0.0ms (0%)

Profiling