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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (13.8%)

Memory

12.6MiB live, 2 008.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 874.0ms

ival-sin: 314.0ms (35.9% of total)

ival-cos: 271.0ms (31% of total)

ival-mult: 220.0ms (25.2% of total)

ival-sub: 60.0ms (6.9% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain227.0ms (2%)

Memory

-31.9MiB live, 254.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

109.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-cos: 45.0ms (48.5% of total)

ival-sin: 38.0ms (40.9% of total)

ival-mult: 7.0ms (7.5% of total)

ival-sub: 2.0ms (2.2% of total)

ival-true: 1.0ms (1.1% of total)

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

preprocess48.0ms (0.4%)

Memory

23.8MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
178×	`distribute-lft-neg-in`
166×	`associate-r`
148×	`unsub-neg`

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify23.0ms (0.2%)

Memory

-24.6MiB live, 13.7MiB 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)))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

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)

localize48.0ms (0.4%)

Memory

11.1MiB live, 52.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 y)
accuracy	0.01171875	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.08984375	(*.f64 x (cos.f64 y))
accuracy	0.1328125	(*.f64 z (sin.f64 y))

Samples

42.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 8.0ms (45.5% of total)

ival-sin: 5.0ms (28.4% of total)

ival-mult: 3.0ms (17.1% of total)

ival-sub: 1.0ms (5.7% of total)

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

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

series11.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify328.0ms (2.9%)

Memory

-8.3MiB live, 148.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
4 682×	`lower-*.f64`
4 682×	`lower-*.f32`
1 796×	`lower-+.f64`

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)

rewrite212.0ms (1.9%)

Memory

0.7MiB live, 230.4MiB allocated

Rules

10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
4 356×	`lower-*.f32`
4 352×	`lower-*.f64`
3 866×	`lower-/.f64`

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
#<batchref>
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eval42.0ms (0.4%)

Memory: 4.3MiB live, 86.8MiB allocated
Compiler: Compiled 12 734 to 737 computations (94.2% saved)

prune21.0ms (0.2%)

Memory

14.9MiB live, 53.4MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	308	17	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	308	18	326

Accuracy

99.9%

Counts

326 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #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)))) (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))))))
	54.5%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x 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)))))
	84.6%	(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)))))
▶	54.4%	(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)))))
	71.5%	(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))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	84.6%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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)))))
	20.6%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (+.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #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)))
▶	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	20.7%	(.f64 (/.f64 (-.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 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) (-.f64 (.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))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))
	54.4%	(.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))))
	55.7%	#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))
	55.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	56.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
▶	38.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	63.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 911 to 486 computations (46.7% saved)

simplify107.0ms (1%)

Memory

-2.2MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(.f64 (.f64 (cos.f64 y) x) x)
cost-diff	41920	(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)))))
cost-diff	0	(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff	128	(-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
cost-diff	26560	(/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))))
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	(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))

Rules

9 010×	`lower-fma.f32`
9 004×	`lower-fma.f64`
2 716×	`lower-*.f32`
2 706×	`lower-*.f64`
1 832×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	296
0	55	254
1	103	252
2	216	252
3	694	251
4	2162	240
5	5912	240
0	8103	240

Stop Event

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

Calls

Call 1

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

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

localize92.0ms (0.8%)

Memory

1.0MiB live, 200.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.23046875	(/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy	0.26953125	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	12.870131199388835	(/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
accuracy	21.914013337853074	(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)))))
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
accuracy	0.26953125	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	2.148431307490618	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy	28.96855509257587	(/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 z)
accuracy	0.1328125	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	39.079425439190295	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (*.f64 z y))
accuracy	27.98550076422026	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(cos.f64 y)
accuracy	0.05859375	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.1328125	(*.f64 (neg.f64 z) (sin.f64 y))

Samples

67.0ms

256×

valid

Compiler

Compiled 294 to 32 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 12.0ms (26.4% of total)

ival-cos: 8.0ms (17.6% of total)

ival-div: 6.0ms (13.2% of total)

ival-sin: 5.0ms (11% of total)

ival-sub: 4.0ms (8.8% of total)

ival-pow2: 4.0ms (8.8% of total)

ival-add: 3.0ms (6.6% of total)

ival-neg: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series113.0ms (1%)

Memory

-23.6MiB live, 177.8MiB allocated

Counts

19 → 552

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))
13.0ms	x	@	-inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))
9.0ms	z	@	0	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))
7.0ms	y	@	0	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))
6.0ms	y	@	-inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (* (cos y) x) x) (/ (cos y) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (* (cos y) x) x) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ (cos y) (+ (* (sin y) z) (* (cos y) x))))

simplify180.0ms (1.6%)

Memory

28.2MiB live, 264.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 268×	`lower-fma.f64`
9 268×	`lower-fma.f32`
7 488×	`lower-*.f64`
7 488×	`lower-*.f32`
2 918×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	783	7492
1	2642	7186
0	8320	6975

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 541

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 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin 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 (* 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))) (* -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))
(+ (* -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))) (* 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)))
(+ (* 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 (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(/ 1 x)
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (cos y)))) (/ 1 x))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 2))) (/ (sin y) (* (pow x 2) (cos y))))) (/ 1 x))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 2)))))) (/ (sin y) (* (pow x 2) (cos y))))) (/ 1 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)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -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 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z)
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (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 (sin y)))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))))
(/ (cos y) (* z (sin y)))
(/ (+ (* -1 (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) (/ (cos y) (sin y))) z)
(/ (- (+ (/ (cos y) (sin y)) (/ (* (pow x 2) (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 4)) (* (pow z 3) (pow (sin y) 4)))) (/ (cos y) (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2))))) z)
(* -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 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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)))))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* -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)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z))) z)) (/ 1 (sin y))) z))
(* -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) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)))))
(/ (cos y) (* z (sin y)))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 3)) (* z (pow (sin y) 3))) (/ (* x (pow (cos y) 2)) (pow (sin y) 2))) z))) z))
(* -1 (/ (+ (* -1 (/ (cos y) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 4)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 3)) (pow (sin y) 3))) z)) (/ (* x (pow (cos y) 2)) (pow (sin y) 2))) z))) z))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
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 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(* -1 x)
(- (* -1 (* y z)) x)
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x)
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x)
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(pow x 2)
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2))
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 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
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(/ 1 x)
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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 (* 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))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
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(* 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))
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(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
x
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rewrite246.0ms (2.2%)

Memory

-2.4MiB live, 393.2MiB allocated

Rules

7 416×	`lower-fma.f32`
7 410×	`lower-fma.f64`
4 046×	`lower-/.f32`
4 038×	`lower-/.f64`
3 834×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	207
0	55	165
1	226	151
2	1742	151
0	8592	151

Stop Event

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

Counts

19 → 1 555

Calls

Call 1

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

Outputs
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eval452.0ms (4%)

Memory: 19.1MiB live, 596.5MiB allocated
Compiler: Compiled 108 792 to 4 078 computations (96.3% saved)

prune133.0ms (1.2%)

Memory

-11.2MiB live, 229.7MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	2 552	23	2 575
Fresh	11	1	12
Picked	3	2	5
Done	0	1	1
Total	2 566	27	2 593

Accuracy

100.0%

Counts

2 593 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (.f64 (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (cos.f64 y)) (.f64 x x) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
	64.9%	(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 #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
	50.9%	(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
	76.8%	(fma.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (.f64 (neg.f64 z) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	84.6%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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)))))
	50.0%	(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))
	22.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
	49.8%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #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 -1 binary64))))
	41.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	63.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
▶	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
	63.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	42.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
	38.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	56.3%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
▶	93.5%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	88.4%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
	63.2%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (cos.f64 y) x))
	55.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	55.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
▶	16.2%	#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)))
✓	38.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
▶	17.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
▶	17.6%	#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 780 to 577 computations (26% saved)

simplify117.0ms (1%)

Memory

19.4MiB live, 174.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
cost-diff	0	#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
cost-diff	320	(*.f64 #s(literal 0 binary64) z)
cost-diff	7488	(/.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))))
cost-diff	0	#s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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)

Rules

6 202×	`lower-fma.f32`
6 192×	`lower-fma.f64`
4 922×	`lower-*.f32`
4 910×	`lower-*.f64`
2 978×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	452
0	93	421
1	173	417
2	378	403
3	1099	396
4	4024	354
0	8453	350

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)))
(neg.f64 z)
z
#s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#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)))
(.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))
(/.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))))
(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
(fma.f64 z z (*.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal 0 binary64) z)
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
#s(literal 1 binary64)
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
x
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(/.f64 (cos.f64 y) z)
(cos.f64 y)
z
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(neg.f64 z)

Outputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (- x (* z y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z)))
(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)))
(.f64 #s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (neg.f64 z))
(neg.f64 z)
z
#s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#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 (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(.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))
(*.f64 (sin.f64 y) (neg.f64 z))
(/.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))))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))
(neg.f64 (pow.f64 z #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
(*.f64 z z)
(fma.f64 z z (*.f64 #s(literal 0 binary64) z))
(*.f64 z z)
(*.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (cos.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
#s(literal 1 binary64)
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (cos.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/.f64 (fma.f64 (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (cos.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (cos.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
x
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(/.f64 (cos.f64 y) z)
(cos.f64 y)
z
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(neg.f64 z)

localize193.0ms (1.7%)

Memory

-15.3MiB live, 195.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.573893949497148	(/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
accuracy	2.7132091533895872	(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
accuracy	2.923532980429458	(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
accuracy	39.981775375534596	#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
accuracy	0	(sin.f64 y)
accuracy	0.1328125	(.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))
accuracy	37.46864089604216	(/.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))))
accuracy	39.079425439190295	#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)))
accuracy	0.05859375	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	0.1328125	(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)))
accuracy	28.67201728176986	#s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
accuracy	39.079425439190295	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	27.98550076422026	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
accuracy	31.009354771942075	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
accuracy	0.00390625	(cos.f64 y)
accuracy	0.09375	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.109375	(/.f64 (sin.f64 y) x)
accuracy	4.08203981186591	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Samples

146.0ms

256×

valid

Compiler

Compiled 335 to 54 computations (83.9% saved)

Precisions

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

ival-mult: 30.0ms (24.5% of total)

ival-sub: 29.0ms (23.7% of total)

ival-div: 26.0ms (21.2% of total)

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

const: 7.0ms (5.7% of total)

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

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

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

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

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series107.0ms (0.9%)

Memory

-17.6MiB live, 98.6MiB allocated

Counts

25 → 624

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (* 0 z) (+ 0 (+ (* z z) (* 0 z))) (- 0 (pow z 3)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/ (sin y) x) (cos y) (+ (* 1/120 (* y y)) -1/6) (- (* x (cos y)) (* z (sin y))) (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (sin y)) (sin y) (/ x (pow (sin y) 2)))
7.0ms	z	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (* 0 z) (+ 0 (+ (* z z) (* 0 z))) (- 0 (pow z 3)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/ (sin y) x) (cos y) (+ (* 1/120 (* y y)) -1/6) (- (* x (cos y)) (* z (sin y))) (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (sin y)) (sin y) (/ x (pow (sin y) 2)))
6.0ms	y	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (* 0 z) (+ 0 (+ (* z z) (* 0 z))) (- 0 (pow z 3)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/ (sin y) x) (cos y) (+ (* 1/120 (* y y)) -1/6) (- (* x (cos y)) (* z (sin y))) (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (sin y)) (sin y) (/ x (pow (sin y) 2)))
6.0ms	y	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (* 0 z) (+ 0 (+ (* z z) (* 0 z))) (- 0 (pow z 3)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/ (sin y) x) (cos y) (+ (* 1/120 (* y y)) -1/6) (- (* x (cos y)) (* z (sin y))) (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (sin y)) (sin y) (/ x (pow (sin y) 2)))
4.0ms	z	@	0	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (* 0 z) (+ 0 (+ (* z z) (* 0 z))) (- 0 (pow z 3)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/ (sin y) x) (cos y) (+ (* 1/120 (* y y)) -1/6) (- (* x (cos y)) (* z (sin y))) (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (sin y)) (sin y) (/ x (pow (sin y) 2)))

simplify176.0ms (1.6%)

Memory

24.5MiB live, 249.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 168×	`lower-*.f64`
7 168×	`lower-*.f32`
6 270×	`lower-fma.f64`
6 270×	`lower-fma.f32`
2 180×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	484	6358
1	1528	6209
2	5008	6145
0	8536	5969

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 612

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

rewrite229.0ms (2%)

Memory

-8.1MiB live, 283.5MiB allocated

Rules

5 292×	`lower-*.f32`
5 280×	`lower-*.f64`
5 126×	`lower-fma.f32`
5 116×	`lower-fma.f64`
2 740×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	373
0	93	344
1	410	286
2	3267	286
0	8990	286

Stop Event

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

Counts

25 → 634

Calls

Call 1

Inputs
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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)
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)))
#s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
(/.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))))
(*.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (sin.f64 y) x)
(cos.f64 y)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#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)))
(.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))
(sin.f64 y)
(/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))

Outputs
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eval2.2s (19.7%)

Memory: 26.4MiB live, 363.4MiB allocated
Compiler: Compiled 29 765 to 4 232 computations (85.8% saved)

prune97.0ms (0.9%)

Memory

-28.6MiB live, 260.1MiB allocated

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1 452	22	1 474
Fresh	9	10	19
Picked	4	1	5
Done	0	3	3
Total	1 465	36	1 501

Accuracy

100.0%

Counts

1 501 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (.f64 (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (cos.f64 y)) (.f64 x x) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
	64.9%	(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 #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
▶	50.9%	(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
	76.8%	(fma.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (.f64 (neg.f64 z) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	38.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
	41.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	63.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
	38.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
	26.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal -4 binary64))) (pow.f64 (sin.f64 y) #s(literal -2 binary64))) (.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 1 binary64)) (sin.f64 y))))))
▶	17.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))))
	17.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (+.f64 (/.f64 x z) y) y) y)) (neg.f64 z))))
	3.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z))))
	63.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	42.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
	11.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 x z) z)) (*.f64 y y)))))
	3.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (neg.f64 x) (.f64 (.f64 (*.f64 y y) z) z)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	56.3%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
	77.1%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.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)))))
	88.4%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	89.8%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
▶	93.3%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
	63.2%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (cos.f64 y) x))
	50.9%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
	32.5%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
▶	42.1%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
	55.7%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #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)))
	55.5%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)))
	38.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))
✓	38.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	17.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
▶	17.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (.f64 (neg.f64 z) z) z) y)))
✓	17.6%	#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 (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))

Compiler

Compiled 1 000 to 780 computations (22% saved)

simplify214.0ms (1.9%)

Memory

-15.3MiB live, 181.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(sqrt.f64 (*.f64 x (cos.f64 y)))
cost-diff	8320	(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
cost-diff	0	#s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))
cost-diff	0	(/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))
cost-diff	0	#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))))
cost-diff	0	#s(approx (sin y) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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)

Rules

9 344×	`lower-fma.f32`
9 332×	`lower-fma.f64`
3 618×	`lower-*.f32`
3 600×	`lower-*.f64`
2 008×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	640
0	107	637
1	186	630
2	372	620
3	1008	606
4	3153	554
5	6501	554
0	8385	540

Stop Event

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

Calls

Call 1

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

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

localize308.0ms (2.7%)

Memory

-15.1MiB live, 262.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(sqrt.f64 (*.f64 x (cos.f64 y)))
accuracy	0.05078125	(*.f64 (sin.f64 y) (neg.f64 z))
accuracy	0.05078125	(*.f64 x (cos.f64 y))
accuracy	0.1484375	(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
accuracy	2.7403253976719477	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y)
accuracy	7.023602905135299	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)
accuracy	12.662141268634246	#s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))
accuracy	21.009744994191223	#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))
accuracy	0.05078125	(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y)))
accuracy	13.495632591635736	#s(approx (sin y) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))
accuracy	18.466601017040638	#s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y)))
accuracy	20.551687384476438	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
accuracy	0	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
accuracy	2.143172015884677	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
accuracy	18.014793974825267	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
accuracy	0.0390625	(/.f64 x (sin.f64 y))
accuracy	0.04296875	(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))
accuracy	0.23382905806420481	(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
accuracy	2.143172015884677	(*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)

Samples

140.0ms	125×	0	invalid
63.0ms	131×	0	valid

Compiler

Compiled 415 to 60 computations (85.5% saved)

Precisions

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

ival-mult: 102.0ms (60.8% of total)

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

ival-add: 10.0ms (6% of total)

const: 9.0ms (5.4% of total)

ival-pow2: 7.0ms (4.2% of total)

ival-sin: 6.0ms (3.6% of total)

ival-cos: 5.0ms (3% of total)

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

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

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series331.0ms (2.9%)

Memory

21.8MiB live, 96.6MiB allocated

Counts

24 → 696

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

Calls

9 calls:

Time	Variable		Point	Expression
150.0ms	x	@	inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) (neg z))) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ x (sin y)) (+ (* 1/120 (* y y)) -1/6) (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (* (sin y) (neg z)))
18.0ms	x	@	-inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) (neg z))) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ x (sin y)) (+ (* 1/120 (* y y)) -1/6) (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (* (sin y) (neg z)))
5.0ms	y	@	-inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) (neg z))) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ x (sin y)) (+ (* 1/120 (* y y)) -1/6) (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (* (sin y) (neg z)))
5.0ms	y	@	inf	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) (neg z))) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ x (sin y)) (+ (* 1/120 (* y y)) -1/6) (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (* (sin y) (neg z)))
4.0ms	x	@	0	((* (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (neg z) (/ 1 (/ x (sin y)))) (cos y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) (neg z))) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ x (sin y)) (+ (* 1/120 (* y y)) -1/6) (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (* (sin y) (neg z)))

simplify478.0ms (4.2%)

Memory

-8.1MiB live, 186.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 276×	`lower-fma.f64`
9 276×	`lower-fma.f32`
6 194×	`lower-*.f64`
6 194×	`lower-*.f32`
3 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	668	8354
1	2121	8091
2	6859	8035
0	8471	7743

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 687

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)))
(* 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)))
(* -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)))
(/ 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))) (* -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))))
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2))))
(/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))
(/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))
(/ (+ (* -1 (/ z (sin y))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) (pow z 2))
(/ (* x (cos y)) (* z (pow (sin y) 2)))
(/ (+ (/ z (sin y)) (/ (* x (cos y)) (pow (sin y) 2))) z)
(/ (+ (/ z (sin y)) (/ (* x (cos y)) (pow (sin y) 2))) z)
(/ (+ (/ z (sin y)) (/ (* x (cos y)) (pow (sin y) 2))) 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 (* -1/6 (* x (pow y 2)))) (* (pow y 2) z))
(/ (+ (* -1/6 x) (+ (* z (+ (* 1/6 y) (/ 1 y))) (/ x (pow y 2)))) z)
(/ (+ (* -1/6 x) (+ (* z (+ (* 1/6 y) (/ 1 y))) (/ x (pow y 2)))) z)
(/ (+ (* -1/6 x) (+ (* z (+ (* 1/6 y) (/ 1 y))) (/ x (pow y 2)))) z)
(/ (+ x (* -1/6 (* x (pow y 2)))) (* y z))
(/ (+ (* -1/6 (* x y)) (+ (* z (+ 1 (* 1/6 (pow y 2)))) (/ x y))) z)
(/ (+ (* -1/6 (* x y)) (+ (* z (+ 1 (* 1/6 (pow y 2)))) (/ x y))) z)
(/ (+ (* -1/6 (* x y)) (+ (* z (+ 1 (* 1/6 (pow y 2)))) (/ x y))) z)
(* -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)))
(* 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 (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)
(* -1 z)
(* -1 z)
(* -1 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)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z)
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ 1 (sin y))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(* -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 (* 1/6 (pow y 2))) y)
(+ (* -1/6 (/ x z)) (+ (* 1/6 y) (+ (/ 1 y) (/ x (* (pow y 2) z)))))
(+ (* -1/6 (/ x z)) (+ (* 1/6 y) (+ (/ 1 y) (/ x (* (pow y 2) z)))))
(+ (* -1/6 (/ x z)) (+ (* 1/6 y) (+ (/ 1 y) (/ x (* (pow y 2) z)))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/6 (/ (* x y) z)) (+ (* 1/6 (pow y 2)) (/ x (* y z)))))
(+ 1 (+ (* -1/6 (/ (* x y) z)) (+ (* 1/6 (pow y 2)) (/ x (* y z)))))
(+ 1 (+ (* -1/6 (/ (* x y) z)) (+ (* 1/6 (pow y 2)) (/ x (* y z)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin 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)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -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)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -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)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z))) z)) (/ 1 (sin y))) z))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(/ 1 (sin y))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))
(* -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 (* 1/6 (pow y 2))) y)
(+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (* 1/6 x)) z)) (+ (* 1/6 y) (/ 1 y)))
(+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (* 1/6 x)) z)) (+ (* 1/6 y) (/ 1 y)))
(+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (* 1/6 x)) z)) (+ (* 1/6 y) (/ 1 y)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/6 (* x y))) z)) (* 1/6 (pow y 2))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/6 (* x y))) z)) (* 1/6 (pow y 2))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/6 (* x y))) z)) (* 1/6 (pow y 2))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x))
(* -1 (/ x (* (pow y 2) (pow z 2))))
(/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ y z))) (pow y 2))
(/ (+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2))
(/ (+ (* -1 (/ x (pow z 2))) (* y (- (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* -1/6 (/ y z)))) (/ 1 z)))) (pow y 2))
(/ x (* (pow y 2) z))
(/ (+ y (/ x z)) (pow y 2))
(/ (+ (* y (+ 1 (* y (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))))) (/ x z)) (pow y 2))
(/ (+ (* y (+ 1 (* y (- (+ (* -1/2 (/ x z)) (* 1/6 y)) (* -1/3 (/ x z)))))) (/ x z)) (pow y 2))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
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)))
(/ x y)
(/ (+ x (* 1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(/ x (* (pow y 2) z))
(/ (+ y (/ x z)) (pow y 2))
(/ (+ (* y (+ 1 (* -1/6 (/ (* x y) z)))) (/ x z)) (pow y 2))
(/ (+ (* y (+ 1 (* y (+ (* -1/6 (/ x z)) (* 1/6 y))))) (/ x z)) (pow y 2))
(/ x (* y z))
(/ (+ y (/ x z)) y)
(/ (+ (* y (+ 1 (* -1/6 (/ (* x y) z)))) (/ x z)) y)
(/ (+ (* y (+ 1 (* y (+ (* -1/6 (/ x z)) (* 1/6 y))))) (/ x z)) y)
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* 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) (* -1 (/ (* z (sin y)) x))))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -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)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin 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) (* -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 (/ (* z (sin y)) x)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(sin y)
(sin y)
(sin y)
(sin y)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y))))
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))))
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))))
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))))
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(* -1 (* x (- (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) x)) (* 1/6 (/ y z))) (/ 1 (* y z)))))

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

rewrite260.0ms (2.3%)

Memory

25.8MiB live, 379.3MiB allocated

Rules

6 374×	`lower-*.f32`
6 356×	`lower-*.f64`
6 194×	`lower-fma.f32`
6 182×	`lower-fma.f64`
3 206×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	520
0	107	502
1	450	442
2	3179	442
0	9745	434

Stop Event

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

Counts

24 → 434

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

Outputs
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eval258.0ms (2.3%)

Memory: 2.8MiB live, 432.2MiB allocated
Compiler: Compiled 26 178 to 2 753 computations (89.5% saved)

prune159.0ms (1.4%)

Memory

-12.5MiB live, 228.8MiB allocated

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	1 331	10	1 341
Fresh	3	24	27
Picked	2	3	5
Done	0	4	4
Total	1 336	41	1 377

Accuracy

100.0%

Counts

1 377 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (.f64 (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (cos.f64 y)) (.f64 x x) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
	64.9%	(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 #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
	39.5%	(fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 y) x))))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
✓	50.9%	(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
	76.8%	(fma.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (.f64 (neg.f64 z) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	38.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
	41.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	63.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
	38.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
	26.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal -4 binary64))) (pow.f64 (sin.f64 y) #s(literal -2 binary64))) (.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 1 binary64)) (sin.f64 y))))))
	17.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (+.f64 (/.f64 x z) y) y) y)) (neg.f64 z))))
	12.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 x z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y)) (neg.f64 z))))
	3.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y)) (neg.f64 z))))
	3.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z))))
	12.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) z (/.f64 x (*.f64 y y)))) z))) (neg.f64 z))))
	3.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 z))))
	17.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))))))
	63.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	42.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) x)))
	3.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (neg.f64 x) (.f64 (.f64 (*.f64 y y) z) z)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	56.3%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
	76.2%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (neg.f64 (cos.f64 y)))))
	89.8%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x))
	88.4%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	80.1%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) x))
	71.6%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #s(approx (cos y) #s(literal 1 binary64))) x))
	63.2%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (cos.f64 y) x))
	50.9%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
	32.5%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
✓	42.1%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
	55.7%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #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)))
	55.5%	#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)))
	38.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))
✓	38.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	17.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
✓	17.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (.f64 (neg.f64 z) z) z) y)))
✓	17.6%	#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 (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 z)))) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))

Compiler

Compiled 1 979 to 888 computations (55.1% saved)

regimes105.0ms (0.9%)

Memory

21.5MiB live, 153.1MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
#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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (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)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 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 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 z))))
#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))) (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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (neg.f64 x) (.f64 (.f64 (*.f64 y y) z) z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (+.f64 (/.f64 x z) y) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 x z) z)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) z (/.f64 x (*.f64 y y)))) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 x z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #s(approx (cos y) #s(literal 1 binary64))) x))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) x))
(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 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (.f64 (neg.f64 z) (sin.f64 y)))
(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) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
(fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 y) x))))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(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 #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
(.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (neg.f64 (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #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 -1 binary64))))
(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) 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 (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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x 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)))))
(fma.f64 (.f64 (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (cos.f64 y)) (.f64 x x) (/.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal -4 binary64))) (pow.f64 (sin.f64 y) #s(literal -2 binary64))) (.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 1 binary64)) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (+.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #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)))) (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))))))
(.f64 (/.f64 (-.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 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) (-.f64 (.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))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))

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

Calls

4 calls:

39.0ms	y
21.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
20.0ms	z
19.0ms	x

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)

regimes90.0ms (0.8%)

Memory

-17.4MiB live, 93.9MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
#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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (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)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 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 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 z))))
#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))) (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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (neg.f64 x) (.f64 (.f64 (*.f64 y y) z) z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (+.f64 (/.f64 x z) y) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 x z) z)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) z (/.f64 x (*.f64 y y)))) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 x z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #s(approx (cos y) #s(literal 1 binary64))) x))

Outputs

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

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

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

Calls

4 calls:

49.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	x
13.0ms	z
11.0ms	y

Results

Accuracy	Segments	Branch
79.9%	3	`x`
86.6%	6	`y`
82.4%	3	`z`
71.6%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes29.0ms (0.3%)

Memory

-8.9MiB live, 33.6MiB allocated

Counts

38 → 6

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
#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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (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)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 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 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 z))))
#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))) (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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (neg.f64 x) (.f64 (.f64 (*.f64 y y) z) z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (+.f64 (/.f64 x z) y) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 x z) z)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) z (/.f64 x (*.f64 y y)))) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 x z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))

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

Calls

2 calls:

16.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
86.6%	6	`y`
76.7%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

33 → 6

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
#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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (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)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 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 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 z))))
#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))) (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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (neg.f64 x) (.f64 (.f64 (*.f64 y y) z) z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (+.f64 (/.f64 x z) y) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 x z) z)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) z (/.f64 x (*.f64 y y)))) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 x z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))

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))) (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 (- (* 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

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
86.6%	6	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes21.0ms (0.2%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
#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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (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)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 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 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 z))))
#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))) (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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (neg.f64 x) (.f64 (.f64 (*.f64 y y) z) z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (+.f64 (/.f64 x z) y) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 x z) z)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) z (/.f64 x (*.f64 y y)))) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 x z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (cos.f64 y) x))

Outputs

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

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

2 calls:

9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
70.5%	3	`x`
78.1%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes65.0ms (0.6%)

Memory

7.2MiB live, 80.7MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
#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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #s(approx (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (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)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (- 0 (pow z 3)) (+ 0 (+ (* z z) (* 0 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 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 z))))
#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))) (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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) #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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (neg.f64 x) (.f64 (.f64 (*.f64 y y) z) z)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (+.f64 (/.f64 x z) y) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (neg z)) (/.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 x z) z)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) #s(approx (/ (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) y) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) z (/.f64 x (*.f64 y y)))) z))) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/6 y) (* -1/6 (/ x z))) y) 1) y) (/ x z)) y) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 x z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/6 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ 1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal 1 binary64)) y (/.f64 x z)) y) y))))))

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

Calls

4 calls:

34.0ms	y
12.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	z
8.0ms	x

Results

Accuracy	Segments	Branch
56.3%	1	`x`
56.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
56.3%	1	`z`
56.3%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.1%)

Memory

-16.0MiB live, 19.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.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:

5.0ms	x
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
56.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
56.3%	1	`z`
56.3%	1	`y`
56.3%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

Calls

4 calls:

2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	y
2.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
42.1%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
44.6%	2	`z`
42.1%	1	`y`
47.0%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory

-36.9MiB live, 10.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
1.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	x

Results

Accuracy	Segments	Branch
42.1%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
42.1%	1	`z`
42.1%	1	`x`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

bsearch36.0ms (0.3%)

Memory

37.5MiB live, 73.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.192540866466241e+34	5.23384390476211e+34
21.0ms	-3.399854549202716e-10	-9.420517239334003e-17

Samples

21.0ms

240×

valid

Compiler

Compiled 297 to 314 computations (-5.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 6.0ms (39.3% of total)

ival-sin: 5.0ms (32.7% of total)

ival-mult: 3.0ms (19.6% of total)

ival-sub: 1.0ms (6.5% of total)

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

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

bsearch189.0ms (1.7%)

Memory

-10.1MiB live, 186.6MiB allocated

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.0170455398311277e+251	1.1272647330191695e+255
90.0ms	2.0746509674684727e+116	1.3201988879505599e+126
11.0ms	2.3496296489487567e-5	0.005637458655620159
22.0ms	-29.73994535175865	-5.698499936789726e-26
29.0ms	-3.618207716341635e+195	-1.6564441183546479e+189

Samples

83.0ms

720×

valid

Compiler

Compiled 736 to 828 computations (-12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-cos: 22.0ms (35.5% of total)

ival-sin: 17.0ms (27.4% of total)

ival-sub: 12.0ms (19.4% of total)

ival-mult: 10.0ms (16.1% of total)

ival-true: 1.0ms (1.6% of total)

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

bsearch56.0ms (0.5%)

Memory

-23.3MiB live, 76.0MiB allocated

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.0170455398311277e+251	1.1272647330191695e+255
20.0ms	2.0746509674684727e+116	1.3201988879505599e+126
1.0ms	2.3496296489487567e-5	0.005637458655620159
1.0ms	-29.73994535175865	-5.698499936789726e-26
1.0ms	-3.618207716341635e+195	-1.6564441183546479e+189

Samples

25.0ms

192×

valid

Compiler

Compiled 698 to 790 computations (-13.2% saved)

Precisions

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

ival-cos: 7.0ms (35.7% of total)

ival-sin: 6.0ms (30.6% of total)

ival-mult: 5.0ms (25.5% of total)

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

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

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

bsearch57.0ms (0.5%)

Memory

-11.6MiB live, 26.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3496296489487567e-5	0.005637458655620159
55.0ms	-2.3087609074290613e+20	-914940178895356500.0

Samples

50.0ms

112×

valid

Compiler

Compiled 306 to 294 computations (3.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-cos: 41.0ms (87.2% of total)

ival-sin: 3.0ms (6.4% of total)

ival-mult: 2.0ms (4.3% of total)

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

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

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

bsearch39.0ms (0.3%)

Memory

25.1MiB live, 60.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.0269103154987188e-281	1.4992217998072786e-278
16.0ms	-1.3928019430690082e-131	-3.504925572894397e-134

Samples

26.0ms

256×

valid

Compiler

Compiled 188 to 270 computations (-43.6% saved)

Precisions

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

ival-cos: 9.0ms (46.1% of total)

ival-sin: 5.0ms (25.6% of total)

ival-mult: 3.0ms (15.4% of total)

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

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

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

simplify35.0ms (0.3%)

Memory

-10.3MiB live, 72.6MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`-commutative-binary64-.f64`
16×	`+-commutative-binary64-+.f64`
16×	`sub-neg-binary64-neg.f64-+.f64--.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	610
1	125	610
2	142	610
3	151	610
4	157	610
5	159	610

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -3143773488566009/20282409603651670423947251286016 binary64)) #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 16200000000000000617116697978994688 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (/ 1 (/ (- ( (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #s(approx (cos y) #s(literal 1 binary64))) x))))
(if (<=.f64 y #s(literal -170000000000000005180285317730224360072941284836439424681382180927669624289635627610354231207881259676677791707128681800661251791986957225359048505834969468526439442022730207962053882204800417792 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -3242591731706757/144115188075855872 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z))) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 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)) (if (<=.f64 y #s(literal 949999999999999986163666816002152023709711947681853709071487121867866322305632177812126434382583635924579015919805979951104 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 14999999999999999045380604066513876604638560991355110347259161085037234417079061323340080491880421366971552773914108538682725996247971503615658393614130008340272579554081857852193293656105997414530747960880994726166153937440699574361751954541073542414336 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))))
(if (<=.f64 y #s(literal -170000000000000005180285317730224360072941284836439424681382180927669624289635627610354231207881259676677791707128681800661251791986957225359048505834969468526439442022730207962053882204800417792 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -3242591731706757/144115188075855872 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 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)) (if (<=.f64 y #s(literal 62999999999999995586657908899486345980255996112141993050607983538952116982343355547262779778922912608275382209985034321920 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 65999999999999998404367795736354132872851774112453812537611528428815456589936077543023400186786381952734285670672972391660990709050934165084210078042549021214135307979690661305571421584528325523575246462178730204883036752819782026289657052119966278483968 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 -950000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 6386688990511103/2554675596204441358920157072687153364566337613357385653123260470319631221592274004204746195830573697394358331960566393912284720625143799885746139901804584218009607261377389665942448283448784623593796296633016222711463437382554714097777734743613496521609114760800967733302218873894840332707692544 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) #s(approx (/ 1 (/ (- ( (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.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 z #s(literal -3143773488566009/20282409603651670423947251286016 binary64)) #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 16200000000000000617116697978994688 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (/ 1 (/ (- ( (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #s(approx (cos y) #s(literal 1 binary64))) x))))
(if (<=.f64 y #s(literal -170000000000000005180285317730224360072941284836439424681382180927669624289635627610354231207881259676677791707128681800661251791986957225359048505834969468526439442022730207962053882204800417792 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -3242591731706757/144115188075855872 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z))) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 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)) (if (<=.f64 y #s(literal 949999999999999986163666816002152023709711947681853709071487121867866322305632177812126434382583635924579015919805979951104 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 14999999999999999045380604066513876604638560991355110347259161085037234417079061323340080491880421366971552773914108538682725996247971503615658393614130008340272579554081857852193293656105997414530747960880994726166153937440699574361751954541073542414336 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))))
(if (<=.f64 y #s(literal -170000000000000005180285317730224360072941284836439424681382180927669624289635627610354231207881259676677791707128681800661251791986957225359048505834969468526439442022730207962053882204800417792 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -3242591731706757/144115188075855872 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 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)) (if (<=.f64 y #s(literal 62999999999999995586657908899486345980255996112141993050607983538952116982343355547262779778922912608275382209985034321920 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 65999999999999998404367795736354132872851774112453812537611528428815456589936077543023400186786381952734285670672972391660990709050934165084210078042549021214135307979690661305571421584528325523575246462178730204883036752819782026289657052119966278483968 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 -950000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 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 (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 6386688990511103/2554675596204441358920157072687153364566337613357385653123260470319631221592274004204746195830573697394358331960566393912284720625143799885746139901804584218009607261377389665942448283448784623593796296633016222711463437382554714097777734743613496521609114760800967733302218873894840332707692544 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) #s(approx (/ 1 (/ (- ( (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))

soundness1.4s (12.2%)

Memory

42.4MiB live, 1 052.1MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
9 276×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	207
0	55	165
1	226	151
2	1742	151
0	8592	151
0	668	8354
1	2121	8091
2	6859	8035
0	8471	7743
0	97	624
1	292	619
2	840	613
3	2068	607
4	3600	607
5	6269	607
0	8467	586
0	783	7492
1	2642	7186
0	8320	6975
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19
0	59	373
0	93	344
1	410	286
2	3267	286
0	8990	286
0	484	6358
1	1528	6209
2	5008	6145
0	8536	5969

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	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 465 to 278 computations (40.2% saved)

preprocess151.0ms (1.3%)

Memory: -33.3MiB live, 180.5MiB allocated
Compiler: Compiled 524 to 180 computations (65.6% 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%)

sample1.6s (13.8%)

explain227.0ms (2%)

preprocess48.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.2%)

localize48.0ms (0.4%)

series11.0ms (0.1%)

simplify328.0ms (2.9%)

rewrite212.0ms (1.9%)

eval42.0ms (0.4%)

prune21.0ms (0.2%)

simplify107.0ms (1%)

localize92.0ms (0.8%)

series113.0ms (1%)

simplify180.0ms (1.6%)

rewrite246.0ms (2.2%)

eval452.0ms (4%)

prune133.0ms (1.2%)

simplify117.0ms (1%)

localize193.0ms (1.7%)

series107.0ms (0.9%)

simplify176.0ms (1.6%)

rewrite229.0ms (2%)

eval2.2s (19.7%)

prune97.0ms (0.9%)

simplify214.0ms (1.9%)

localize308.0ms (2.7%)

series331.0ms (2.9%)

simplify478.0ms (4.2%)

rewrite260.0ms (2.3%)

eval258.0ms (2.3%)

prune159.0ms (1.4%)

regimes105.0ms (0.9%)

regimes90.0ms (0.8%)

regimes29.0ms (0.3%)

regimes12.0ms (0.1%)

regimes21.0ms (0.2%)

regimes65.0ms (0.6%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch36.0ms (0.3%)

bsearch189.0ms (1.7%)

bsearch56.0ms (0.5%)

bsearch57.0ms (0.5%)

bsearch39.0ms (0.3%)

simplify35.0ms (0.3%)

soundness1.4s (12.2%)

preprocess151.0ms (1.3%)

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