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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 (16.6%)

Memory

-123.1MiB live, 1 362.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 604.0ms

ival-sin: 236.0ms (39.1% of total)

ival-cos: 194.0ms (32.1% of total)

ival-mult: 126.0ms (20.9% of total)

ival-sub: 37.0ms (6.1% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain193.0ms (2.3%)

Memory

5.0MiB live, 142.2MiB 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

50.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-cos: 12.0ms (35.4% of total)

ival-sin: 12.0ms (35.4% of total)

ival-mult: 7.0ms (20.7% of total)

ival-sub: 2.0ms (5.9% of total)

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

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

preprocess46.0ms (0.6%)

Memory

3.2MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	90	84
2	169	84
3	375	84
4	665	84
5	872	84
6	1052	84
7	1105	84
8	1113	84
9	1117	84
0	8	9
0	13	9
1	20	9
2	32	9
3	44	9
4	65	9
5	95	9
6	153	9
7	223	9
8	282	9
9	311	9
10	327	9
0	327	9

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 (neg.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

1.8MiB live, 1.8MiB 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)

simplify14.0ms (0.2%)

Memory

-18.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(-.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	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

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 (neg.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)

localize66.0ms (0.8%)

Memory

-15.1MiB live, 34.8MiB 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

60.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 8.0ms (40.9% of total)

ival-cos: 6.0ms (30.7% of total)

ival-mult: 3.0ms (15.3% of total)

ival-sub: 1.0ms (5.1% of total)

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

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

series11.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (* 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 (* -1 (* 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 (- (/ (* x (cos y)) 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 (- (/ (* x (cos y)) 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 (- (/ (* x (cos y)) 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)) (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 (* -1 (* 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 (/ (* x (cos y)) z)) (* -1 (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 (/ (* x (cos y)) z)) (* -1 (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 (/ (* x (cos y)) z)) (* -1 (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)) (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 (* -1 (* 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 (- (* -1/2 (* 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 (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (* -1 (* 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) (* -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) (* -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) (* -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>) () ())) ())
#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)) (/ (* 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)) (/ (* 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)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify162.0ms (1.9%)

Memory

35.4MiB live, 139.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	840	613
3	2068	607
4	3600	607
5	6269	607
0	8467	586

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite272.0ms (3.3%)

Memory

-8.7MiB live, 302.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

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

Counts

4 → 231

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
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eval76.0ms (0.9%)

Memory: 1.1MiB live, 128.5MiB allocated
Compiler: Compiled 12 734 to 737 computations (94.2% saved)

prune84.0ms (1%)

Memory

-20.9MiB live, 60.0MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	309	16	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	309	17	326

Accuracy

100.0%

Counts

326 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(fma.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))
	81.5%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	57.1%	(fma.f64 (.f64 (.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
	57.1%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	70.4%	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
▶	56.7%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.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 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (sin.f64 y) z (.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
▶	38.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	57.1%	(.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) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
	44.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	45.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	46.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
▶	44.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	57.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 817 to 436 computations (46.6% saved)

simplify127.0ms (1.5%)

Memory

24.1MiB live, 185.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)))
cost-diff	320	(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64))))
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	40064	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	364
0	65	349
1	114	335
2	243	335
3	810	335
4	1460	335
5	3265	335
6	6741	335
0	8267	335

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (2%)

Memory

10.3MiB live, 164.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.26894384768442015	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64))))
accuracy	2.148423050811441	(-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))
accuracy	38.7924744434289	(/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)))
accuracy	0.26953125	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.8985985490983244	(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))
accuracy	2.0468646791510294	(-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))
accuracy	26.40952675451053	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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)))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 z)
accuracy	0.09765625	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	35.40086587516024	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0	(*.f64 z y)
accuracy	0.0078125	(-.f64 x (*.f64 z y))
accuracy	34.19679131693085	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0.0546875	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy	0.1171875	(*.f64 (cos.f64 y) x)
accuracy	0.26953125	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Samples

139.0ms

256×

valid

Compiler

Compiled 367 to 38 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-add: 23.0ms (21.3% of total)

ival-sin: 21.0ms (19.5% of total)

ival-pow: 18.0ms (16.7% of total)

ival-sub: 16.0ms (14.8% of total)

ival-mult: 12.0ms (11.1% of total)

ival-div: 6.0ms (5.6% of total)

ival-cos: 5.0ms (4.6% of total)

ival-pow2: 5.0ms (4.6% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series177.0ms (2.1%)

Memory

-31.0MiB live, 186.5MiB allocated

Counts

22 → 696

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	y	@	inf	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ 1 (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1))) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1) (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (cos y) x) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (sin y) z) 3))
35.0ms	x	@	-inf	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ 1 (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1))) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1) (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (cos y) x) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (sin y) z) 3))
17.0ms	y	@	-inf	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ 1 (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1))) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1) (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (cos y) x) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (sin y) z) 3))
11.0ms	z	@	0	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ 1 (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1))) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1) (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (cos y) x) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (sin y) z) 3))
8.0ms	z	@	-inf	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ 1 (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1))) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1) (/ (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) 1)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (* (cos y) x) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (sin y) z) 3))

simplify271.0ms (3.3%)

Memory

11.7MiB live, 277.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	947	10953
1	3192	10474
0	8778	10137

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 683

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* 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))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(+ (* x (cos y)) (* z (- (* z (- (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(* (pow x 3) (pow (cos y) 3))
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3)))
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3)))
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 1 (* x (cos y))))
(+ (* z (+ (* z (+ (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(* (pow x 2) (pow (cos y) 2))
(+ (* x (* z (* (cos y) (sin y)))) (* (pow x 2) (pow (cos y) 2)))
(+ (* z (+ (* x (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2)))
(+ (* z (+ (* x (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (pow (cos y) 2))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 6)) (* (pow x 8) (pow (cos y) 8))) (* -1 (/ (pow (sin y) 4) (* (pow x 6) (pow (cos y) 6)))))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(* (pow x 3) (pow (cos y) 3))
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3)))
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3)))
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3)))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* (pow z 3) (pow (sin y) 3))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x)))))
(* (pow x 3) (pow (cos y) 3))
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)))))
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)))))
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)))))
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (+ (/ (* z (* (cos y) (sin y))) x) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* (pow x 2) (pow (cos y) 2))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2))
(* (pow x 3) (pow (cos y) 3))
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)))))
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)))))
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)))))

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

rewrite288.0ms (3.5%)

Memory

40.6MiB live, 426.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	281
0	65	214
1	275	206
2	1805	206
0	8515	206

Stop Event

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

Counts

22 → 1 969

Calls

Call 1

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

Outputs
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eval560.0ms (6.7%)

Memory: 3.2MiB live, 1 246.5MiB allocated
Compiler: Compiled 136 777 to 6 190 computations (95.5% saved)

prune135.0ms (1.6%)

Memory

4.2MiB live, 242.4MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	3 068	24	3 092
Fresh	10	1	11
Picked	3	2	5
Done	0	1	1
Total	3 081	28	3 109

Accuracy

100.0%

Counts

3 109 → 28

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 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	48.0%	(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	48.0%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	31.2%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64)))
	31.2%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
▶	23.9%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
	48.0%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	31.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	57.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	57.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
▶	32.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	56.7%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	46.6%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (neg.f64 z) y x))
	48.0%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
▶	90.4%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
▶	88.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
	57.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (cos.f64 y) x))
	44.9%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (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 (neg.f64 z)) y x))
	45.0%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
✓	46.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	14.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (sin.f64 y)))
✓	44.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	41.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	42.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
	35.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
▶	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	17.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))

Compiler

Compiled 759 to 597 computations (21.3% saved)

simplify142.0ms (1.7%)

Memory

16.9MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	342
0	80	340
1	126	332
2	218	328
3	496	302
4	1138	290
5	3346	290
6	6100	290
0	8175	290

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (2.7%)

Memory

-48.0MiB live, 237.5MiB 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	4.378641500212829	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
accuracy	26.40952675451053	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
accuracy	34.979839155345495	#s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)))
accuracy	0	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
accuracy	0.10546875	(/.f64 (cos.f64 y) z)
accuracy	0.109375	(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
accuracy	7.175194838819926	(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
accuracy	43.18241998187505	#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	27.952154419297507	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
accuracy	34.19679131693085	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
accuracy	0	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy	0.0703125	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.11328125	(/.f64 (sin.f64 y) x)
accuracy	6.083295960029645	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Samples

175.0ms

256×

valid

Compiler

Compiled 283 to 44 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 75.0ms (58.8% of total)

ival-pow: 13.0ms (10.2% of total)

ival-div: 10.0ms (7.8% of total)

ival-sin: 7.0ms (5.5% of total)

ival-pow2: 7.0ms (5.5% of total)

ival-cos: 6.0ms (4.7% of total)

ival-add: 4.0ms (3.1% of total)

ival-sub: 3.0ms (2.4% 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)

series101.0ms (1.2%)

Memory

4.7MiB live, 82.3MiB allocated

Counts

21 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* (* (pow (sin y) 2) z) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (sin y) x) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (* (pow (sin y) 2) z))
5.0ms	y	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* (* (pow (sin y) 2) z) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (sin y) x) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (* (pow (sin y) 2) z))
4.0ms	z	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* (* (pow (sin y) 2) z) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (sin y) x) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (* (pow (sin y) 2) z))
4.0ms	z	@	0	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* (* (pow (sin y) 2) z) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (sin y) x) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (* (pow (sin y) 2) z))
3.0ms	z	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* (* (pow (sin y) 2) z) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (sin y) x) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (* (pow (sin y) 2) z))

simplify260.0ms (3.1%)

Memory

15.6MiB live, 278.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	640	8147
1	2096	7961
2	7098	7920
0	8154	7699

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 636

Calls

Call 1

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

rewrite352.0ms (4.2%)

Memory

8.2MiB live, 255.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	292
0	80	290
1	296	250
2	1796	248
0	8188	248

Stop Event

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

Counts

21 → 495

Calls

Call 1

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

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eval256.0ms (3.1%)

Memory: -13.5MiB live, 333.3MiB allocated
Compiler: Compiled 26 511 to 2 900 computations (89.1% saved)

prune86.0ms (1%)

Memory

-3.7MiB live, 200.5MiB allocated

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1 134	21	1 155
Fresh	10	10	20
Picked	2	3	5
Done	1	2	3
Total	1 147	36	1 183

Accuracy

100.0%

Counts

1 183 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	31.2%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	23.7%	(/.f64 #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
	31.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	57.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	57.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
✓	32.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	46.6%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (neg.f64 z) y x))
	76.1%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
	64.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (cos.f64 y) z) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))))
	86.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
	72.1%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (fma.f64 (neg.f64 z) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (neg.f64 x) (neg.f64 x))) (cos.f64 y)) x))
▶	90.4%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
	90.4%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (fma.f64 (neg.f64 z) (.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (cos.f64 y)) x))
	88.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
✓	88.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
▶	88.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y))) z))
	88.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (fma.f64 x (.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (sin.f64 y))) z))
	74.0%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 (cos.f64 y) x))) (.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) z)) z))
	57.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (cos.f64 y) x))
	39.6%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z (neg.f64 x))) y #s(literal 1 binary64))) x))
▶	35.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
▶	32.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
	41.5%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( x (/ (cos y) z)) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal -1 binary64)) y (/.f64 x z))) z))
	41.5%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( x (/ (cos y) z)) (neg (sin y))) (fma.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) #s(literal -1 binary64)) y (/.f64 x z))) z))
	28.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( x (/ (cos y) z)) (neg (sin y))) (/.f64 x z)) z))
	44.9%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (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 (neg.f64 z)) y x)))
	45.0%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)))
	14.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (sin.f64 y)))
✓	44.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	41.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
▶	8.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
	35.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
✓	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	17.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))

Compiler

Compiled 957 to 771 computations (19.4% saved)

simplify104.0ms (1.3%)

Memory

-10.1MiB live, 88.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y)))
cost-diff	0	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y))) z))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y)))
cost-diff	704	(*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y))) z)
cost-diff	0	(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
cost-diff	0	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))
cost-diff	0	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)
cost-diff	0	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 z z))
cost-diff	192	(+.f64 #s(literal 0 binary64) z)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
cost-diff	0	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))
cost-diff	0	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
cost-diff	704	(*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	423
0	81	406
1	147	393
2	318	362
3	1005	290
4	2664	290
5	4670	290
0	8091	290

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.7%)

Memory

20.1MiB live, 252.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.109375	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y)))
accuracy	0.15234375	(/.f64 z (cos.f64 y))
accuracy	0.171875	(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y)))
accuracy	7.175194838819926	(*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y))) z)
accuracy	0.11328125	(/.f64 (sin.f64 y) x)
accuracy	4.100664354879129	(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
accuracy	6.083295960029645	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)
accuracy	35.32498409706254	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))
accuracy	0	(*.f64 z z)
accuracy	27.952154419297507	#s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))
accuracy	30.733738286848475	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
accuracy	34.19679131693085	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
accuracy	0	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
accuracy	6.083295960029645	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
accuracy	43.44519762981594	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
accuracy	0.0703125	(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))
accuracy	0.1640625	(/.f64 x (sin.f64 y))
accuracy	0.4726268009147308	(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
accuracy	6.083295960029645	(*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)

Samples

112.0ms

256×

valid

Compiler

Compiled 315 to 45 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 21.0ms (29.9% of total)

ival-div: 11.0ms (15.7% of total)

ival-pow: 9.0ms (12.8% of total)

ival-sin: 7.0ms (10% of total)

ival-cos: 6.0ms (8.5% of total)

ival-add: 5.0ms (7.1% of total)

ival-pow2: 5.0ms (7.1% of total)

ival-sub: 4.0ms (5.7% of total)

ival-neg: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (1.2%)

Memory

15.8MiB live, 131.7MiB allocated

Counts

24 → 708

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (* x (cos y)) (* z (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) z) (/ 1 (/ z (cos y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) (/ x (sin y)) (- x (* z y)) (* z z) (/ (sin y) x) (/ z (cos y)))
18.0ms	z	@	inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (* x (cos y)) (* z (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) z) (/ 1 (/ z (cos y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) (/ x (sin y)) (- x (* z y)) (* z z) (/ (sin y) x) (/ z (cos y)))
4.0ms	z	@	-inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (* x (cos y)) (* z (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) z) (/ 1 (/ z (cos y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) (/ x (sin y)) (- x (* z y)) (* z z) (/ (sin y) x) (/ z (cos y)))
4.0ms	y	@	-inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (* x (cos y)) (* z (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) z) (/ 1 (/ z (cos y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) (/ x (sin y)) (- x (* z y)) (* z z) (/ (sin y) x) (/ z (cos y)))
4.0ms	y	@	inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (* x (cos y)) (* z (sin y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) z) (/ 1 (/ z (cos y))) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* x (/ 1 (/ z (cos y)))) (neg (sin y))) (/ x (sin y)) (- x (* z y)) (* z z) (/ (sin y) x) (/ z (cos y)))

simplify227.0ms (2.7%)

Memory

-36.3MiB live, 323.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	6558
1	859	6341
2	2628	6231
0	8003	6122

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 682

Calls

Call 1

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

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

rewrite163.0ms (2%)

Memory

27.6MiB live, 303.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	379
0	81	347
1	333	261
2	2279	261
0	8340	261

Stop Event

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

Counts

24 → 733

Calls

Call 1

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

Outputs
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eval235.0ms (2.8%)

Memory: -12.7MiB live, 542.9MiB allocated
Compiler: Compiled 24 155 to 4 104 computations (83% saved)

prune98.0ms (1.2%)

Memory

12.7MiB live, 253.5MiB allocated

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1 400	15	1 415
Fresh	8	18	26
Picked	2	3	5
Done	1	4	5
Total	1 411	40	1 451

Accuracy

100.0%

Counts

1 451 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	31.2%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	23.7%	(/.f64 #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
	31.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	57.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	57.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
✓	32.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	46.6%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (neg.f64 z) y x))
	30.0%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y))) (pow.f64 z #s(literal 3 binary64))) (.f64 z z)))
	43.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y))) (.f64 (neg.f64 z) z)) (neg.f64 z)))
	76.1%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
	64.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))))
	88.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y))) z))
✓	88.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y))) z))
	88.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (cos.f64 y))) (neg.f64 (sin.f64 y))) z))
	74.0%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 (cos.f64 y) x))) (.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) z)) z))
	57.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (cos.f64 y) x))
	39.6%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z (neg.f64 x))) y #s(literal 1 binary64))) x))
	35.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (/.f64 (neg.f64 z) (/.f64 x (sin.f64 y)))) x))
	35.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 (sin.f64 y)) z)))) x))
	31.1%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
✓	35.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
	35.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (.f64 (neg.f64 z) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sin.f64 y))))) x))
	12.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 z (neg.f64 x)) y))) x))
	11.9%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (.f64 (.f64 (/.f64 z x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) x))
✓	32.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
	41.5%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( x (/ (cos y) z)) (neg (sin y))) (fma.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) #s(literal -1 binary64)) y (/.f64 x z))) z))
	28.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( x (/ (cos y) z)) (neg (sin y))) (/.f64 x z)) z))
	46.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( x (/ 1 (/ z (cos y)))) (neg (sin y))) (*.f64 (/.f64 (cos.f64 y) z) x)) z))
	44.9%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (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 (neg.f64 z)) y x)))
	45.0%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)))
	14.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (sin.f64 y)))
✓	44.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	6.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) y)))
	8.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (.f64 (neg.f64 z) z) z) y)))
	35.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
	8.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)) y)))
✓	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	17.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))

Compiler

Compiled 1 833 to 801 computations (56.3% saved)

regimes132.0ms (1.6%)

Memory

7.5MiB live, 177.6MiB allocated

Counts

77 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

4 calls:

50.0ms	x
32.0ms	y
23.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
22.0ms	z

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)

regimes81.0ms (1%)

Memory

-0.4MiB live, 82.1MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

38.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
20.0ms	z
10.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
76.4%	3	`x`
75.8%	4	`y`
76.1%	3	`z`
62.9%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes45.0ms (0.5%)

Memory

-15.6MiB live, 63.4MiB allocated

Counts

29 → 3

Calls

Call 1

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

13.0ms	z
9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
72.3%	3	`y`
67.6%	3	`z`
64.8%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes60.0ms (0.7%)

Memory

-23.0MiB live, 57.9MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	z
8.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
46.6%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
46.6%	1	`x`
46.6%	1	`z`
46.6%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 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	z
2.0ms	y

Results

Accuracy	Segments	Branch
46.6%	1	`x`
46.6%	1	`y`
46.6%	1	`z`
46.6%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.9%	3	`x`
34.1%	2	`y`
36.3%	2	`z`
32.2%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes13.0ms (0.2%)

Memory

-27.9MiB live, 11.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
32.2%	1	`y`
32.2%	1	`x`
32.2%	1	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch66.0ms (0.8%)

Memory

27.3MiB live, 66.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	0.001428594623308831	1493102344442.7588
15.0ms	-1.5273515144212732e-83	-1.6674712893984617e-85

Samples

53.0ms

272×

valid

Compiler

Compiled 199 to 269 computations (-35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sin: 33.0ms (72.1% of total)

ival-cos: 7.0ms (15.3% of total)

ival-mult: 4.0ms (8.7% of total)

ival-sub: 1.0ms (2.2% of total)

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

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

bsearch66.0ms (0.8%)

Memory

-32.9MiB live, 47.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Samples

36.0ms

320×

valid

Compiler

Compiled 432 to 414 computations (4.2% saved)

Precisions

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

ival-cos: 19.0ms (68.9% of total)

ival-mult: 4.0ms (14.5% of total)

ival-sin: 3.0ms (10.9% of total)

ival-sub: 1.0ms (3.6% of total)

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

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

bsearch40.0ms (0.5%)

Memory

-1.6MiB live, 37.9MiB 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 111 to 158 computations (-42.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 3.0ms (33% of total)

ival-sin: 3.0ms (33% of total)

ival-mult: 2.0ms (22% of total)

ival-sub: 1.0ms (11% of total)

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

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

simplify26.0ms (0.3%)

Memory

37.9MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	277
1	90	277
2	107	277
3	116	277
4	122	277
5	124	277

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(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 5188146770730811/144115188075855872 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.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 (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal 18500000000000001626874345597408626517218363924232740527786547571601213307258518043393259124608137691136 binary64)) #s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(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 5188146770730811/144115188075855872 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.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 (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal 18500000000000001626874345597408626517218363924232740527786547571601213307258518043393259124608137691136 binary64)) #s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))

soundness1.2s (14.1%)

Memory

-18.2MiB live, 416.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19
0	947	10953
1	3192	10474
0	8778	10137
0	97	624
1	292	619
2	840	613
3	2068	607
4	3600	607
5	6269	607
0	8467	586
0	640	8147
1	2096	7961
2	7098	7920
0	8154	7699

Stop Event

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

Compiler

Compiled 199 to 146 computations (26.6% saved)

preprocess73.0ms (0.9%)

Memory: -0.2MiB live, 76.4MiB allocated
Compiler: Compiled 216 to 110 computations (49.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (16.6%)

explain193.0ms (2.3%)

preprocess46.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.2%)

localize66.0ms (0.8%)

series11.0ms (0.1%)

simplify162.0ms (1.9%)

rewrite272.0ms (3.3%)

eval76.0ms (0.9%)

prune84.0ms (1%)

simplify127.0ms (1.5%)

localize169.0ms (2%)

series177.0ms (2.1%)

simplify271.0ms (3.3%)

rewrite288.0ms (3.5%)

eval560.0ms (6.7%)

prune135.0ms (1.6%)

simplify142.0ms (1.7%)

localize226.0ms (2.7%)

series101.0ms (1.2%)

simplify260.0ms (3.1%)

rewrite352.0ms (4.2%)

eval256.0ms (3.1%)

prune86.0ms (1%)

simplify104.0ms (1.3%)

localize140.0ms (1.7%)

series97.0ms (1.2%)

simplify227.0ms (2.7%)

rewrite163.0ms (2%)

eval235.0ms (2.8%)

prune98.0ms (1.2%)

regimes132.0ms (1.6%)

regimes81.0ms (1%)

regimes45.0ms (0.5%)

regimes60.0ms (0.7%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes13.0ms (0.2%)

bsearch66.0ms (0.8%)

bsearch66.0ms (0.8%)

bsearch40.0ms (0.5%)

simplify26.0ms (0.3%)

soundness1.2s (14.1%)

preprocess73.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24