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

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (17.9%)

Memory

-144.5MiB live, 1 666.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 889.0ms

ival-mult: 367.0ms (41.3% of total)

ival-sin: 249.0ms (28% of total)

ival-cos: 201.0ms (22.6% of total)

ival-sub: 62.0ms (7% of total)

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

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

Bogosity

explain137.0ms (1.6%)

Memory

3.9MiB live, 236.3MiB 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

55.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 13.0ms (34.8% of total)

ival-sin: 11.0ms (29.5% of total)

ival-cos: 10.0ms (26.8% of total)

ival-sub: 2.0ms (5.4% of total)

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

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

preprocess48.0ms (0.6%)

Memory

-14.9MiB live, 61.4MiB 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)

eval1.0ms (0%)

Memory: 2.6MiB live, 2.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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)

simplify11.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB 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)

localize38.0ms (0.4%)

Memory

-2.6MiB live, 79.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.1328125	(*.f64 z (sin.f64 y))
accuracy	0.16015625	(*.f64 x (cos.f64 y))

Samples

32.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

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

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

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

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

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

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

series13.0ms (0.2%)

Memory

-1.5MiB live, 35.5MiB 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
3.0ms	z	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
2.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify212.0ms (2.5%)

Memory

-15.1MiB live, 183.7MiB 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)

rewrite223.0ms (2.7%)

Memory

31.3MiB live, 367.8MiB 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
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (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 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.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 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.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))) #s(literal -1 binary64)))
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eval39.0ms (0.5%)

Memory: -11.1MiB live, 103.8MiB allocated
Compiler: Compiled 12 734 to 737 computations (94.2% saved)

prune86.0ms (1%)

Memory

-21.7MiB live, 166.0MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	309	16	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	16	326

Accuracy

99.9%

Counts

326 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(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)))))
▶	55.5%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	55.2%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	38.7%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
	55.6%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
	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)))
▶	51.3%	(-.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 (sin.f64 y) z))))
	78.0%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	55.5%	(.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))))
	50.6%	#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))
	50.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
▶	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	60.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 536 to 362 computations (32.5% saved)

simplify248.0ms (3%)

Memory

34.3MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
cost-diff	0	(*.f64 x x)
cost-diff	41664	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 (sin.f64 y) z))))
cost-diff	12800	(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
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

10 176×	`lower-fma.f32`
10 170×	`lower-fma.f64`
2 764×	`lower-*.f32`
2 752×	`lower-*.f64`
1 398×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	226
0	54	198
1	92	198
2	156	198
3	389	198
4	849	198
5	1583	198
6	2671	198
7	4149	198
8	5195	198
9	5254	198
10	5264	198
11	5268	198
12	5762	198
13	6152	198
14	6274	198
15	6486	198
16	6573	198
17	6605	198
18	6613	198
19	6613	198
20	6853	198
21	7332	198
0	8126	198

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

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

localize133.0ms (1.6%)

Memory

1.2MiB live, 158.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.125	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	0.13185502930532605	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	4.334178278430436	(/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
accuracy	9.304794918338246	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
accuracy	0.05859375	(*.f64 (sin.f64 y) z)
accuracy	0.0859375	(*.f64 x (cos.f64 y))
accuracy	2.2446389370820286	(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
accuracy	3.472044183618925	(log.f64 (*.f64 (sin.f64 y) z))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 z)
accuracy	0.05859375	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	18.18837895624525	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0	(-.f64 x (*.f64 z y))
accuracy	0	(*.f64 z y)
accuracy	15.320167752008045	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(neg.f64 z)
accuracy	0	(cos.f64 y)
accuracy	0.046875	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.05859375	(*.f64 (neg.f64 z) (sin.f64 y))

Samples

47.0ms	138×	0	invalid
42.0ms	118×	0	valid

Compiler

Compiled 224 to 30 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-pow2: 19.0ms (32.7% of total)

ival-mult: 12.0ms (20.7% of total)

ival-cos: 6.0ms (10.3% of total)

ival-sin: 5.0ms (8.6% of total)

ival-div: 3.0ms (5.2% of total)

ival-add: 3.0ms (5.2% of total)

ival-sub: 3.0ms (5.2% of total)

ival-exp: 2.0ms (3.4% of total)

ival-log: 2.0ms (3.4% of total)

ival-neg: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series207.0ms (2.5%)

Memory

-5.0MiB live, 270.3MiB allocated

Counts

20 → 516

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

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

Calls

9 calls:

Time	Variable		Point	Expression
65.0ms	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) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (cos y) 2) (log (* (sin y) z)) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2))
36.0ms	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) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (cos y) 2) (log (* (sin y) z)) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2))
26.0ms	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) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (cos y) 2) (log (* (sin y) z)) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2))
25.0ms	z	@	-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) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (cos y) 2) (log (* (sin y) z)) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2))
19.0ms	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) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (+ (* (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* x x) (/ (pow (cos y) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (cos y) 2) (log (* (sin y) z)) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2))

simplify233.0ms (2.8%)

Memory

15.4MiB live, 168.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 038×	`lower-fma.f64`
7 038×	`lower-fma.f32`
6 058×	`lower-*.f64`
6 058×	`lower-*.f32`
2 396×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	5531
1	1998	5314
2	6981	5269
0	8130	5137

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 505

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

rewrite332.0ms (4%)

Memory

11.4MiB live, 322.5MiB allocated

Rules

5 562×	`lower-fma.f32`
5 556×	`lower-fma.f64`
4 224×	`lower-/.f32`
4 220×	`lower-/.f64`
3 594×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	162
0	54	134
1	198	134
2	1189	134
0	8668	134

Stop Event

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

Counts

20 → 1 132

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

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

eval625.0ms (7.5%)

Memory: -13.5MiB live, 588.6MiB allocated
Compiler: Compiled 70 517 to 2 767 computations (96.1% saved)

prune226.0ms (2.7%)

Memory

-11.3MiB live, 368.5MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 867	19	1 886
Fresh	7	4	11
Picked	3	2	5
Done	0	0	0
Total	1 877	25	1 902

Accuracy

100.0%

Counts

1 902 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.8%	(fma.f64 (/.f64 (.f64 (.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
	80.6%	(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)))))
	46.5%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
	68.1%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
▶	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
	72.9%	(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) x (*.f64 (neg.f64 z) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
▶	78.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
	38.7%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
▶	38.1%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (exp.f64 (log.f64 (.f64 (sin.f64 y) z))))
	50.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	50.4%	#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))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	51.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
	89.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	90.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	12.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) (sin.f64 y)))
	22.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y)))
✓	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	60.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	45.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
	37.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
▶	50.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
▶	15.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	15.5%	#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 705 to 513 computations (27.2% saved)

simplify460.0ms (5.5%)

Memory

-8.3MiB live, 108.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (exp.f64 (log.f64 (.f64 (sin.f64 y) z))))
cost-diff	12800	(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
cost-diff	0	#s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
cost-diff	1024	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))

Rules

3 672×	`lower-fma.f32`
3 668×	`lower-fma.f64`
3 260×	`lower-*.f32`
3 246×	`lower-*.f64`
2 222×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	200
0	53	196
1	82	196
2	121	196
3	207	196
4	504	184
5	1280	184
6	2174	184
7	3191	184
8	4330	184
9	4821	184
10	5002	184
11	5066	184
12	5130	184
13	5538	184
14	5618	184
15	5629	184
16	5641	184
17	5647	184
18	5655	184
19	5723	184
20	6067	184
21	6067	184
22	6067	184
23	6647	184
24	6831	184
25	6883	184
26	6953	184
27	6983	184
28	6983	184
29	6983	184
30	6983	184
31	7129	184
32	7675	184
33	7675	184
0	8463	184

Stop Event

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

Calls

Call 1

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

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

localize219.0ms (2.6%)

Memory

-7.4MiB live, 109.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	2.2446389370820286	(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
accuracy	3.472044183618925	(log.f64 (*.f64 (sin.f64 y) z))
accuracy	14.674373995038422	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0	(neg.f64 z)
accuracy	0.046875	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.05859375	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	14.674373995038422	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0	#s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x))
accuracy	2.3932598472182707	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)
accuracy	2.433356042267939	(/.f64 (*.f64 z y) x)
accuracy	15.320167752008045	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	13.517546576365561	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
accuracy	15.320167752008045	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
accuracy	0	(neg.f64 z)
accuracy	0	(cos.f64 y)
accuracy	0.02734375	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
accuracy	0.0859375	(*.f64 (cos.f64 y) x)

Samples

89.0ms	118×	0	valid
29.0ms	138×	0	invalid

Compiler

Compiled 152 to 27 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 75.0ms (74.6% of total)

ival-sin: 7.0ms (7% of total)

ival-cos: 5.0ms (5% of total)

ival-sub: 4.0ms (4% of total)

ival-div: 2.0ms (2% of total)

ival-exp: 2.0ms (2% of total)

ival-add: 2.0ms (2% of total)

ival-log: 2.0ms (2% of total)

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

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

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

exact: 0.0ms (0% of total)

series126.0ms (1.5%)

Memory

22.0MiB live, 103.8MiB allocated

Counts

20 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	y	@	inf	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (* (- 1 (/ (* z y) x)) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (- 1 (/ (* z y) x)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (cos y) (/ (* z y) x) (log (* (sin y) z)))
39.0ms	z	@	inf	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (* (- 1 (/ (* z y) x)) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (- 1 (/ (* z y) x)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (cos y) (/ (* z y) x) (log (* (sin y) z)))
9.0ms	z	@	0	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (* (- 1 (/ (* z y) x)) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (- 1 (/ (* z y) x)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (cos y) (/ (* z y) x) (log (* (sin y) z)))
9.0ms	z	@	-inf	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (* (- 1 (/ (* z y) x)) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (- 1 (/ (* z y) x)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (cos y) (/ (* z y) x) (log (* (sin y) z)))
8.0ms	y	@	-inf	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (* (- 1 (/ (* z y) x)) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (- 1 (/ (* z y) x)) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (exp (log (* (sin y) z))) (- (* x (cos y)) (exp (log (* (sin y) z)))) (* x (cos y)) (cos y) (/ (* z y) x) (log (* (sin y) z)))

simplify224.0ms (2.7%)

Memory

-16.4MiB live, 217.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 246×	`lower-fma.f64`
11 246×	`lower-fma.f32`
4 230×	`lower-*.f64`
4 230×	`lower-*.f32`
2 060×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	3428
1	669	3386
2	1766	3370
3	4341	3369
0	8693	3307

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 532

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)
(* -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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -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)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) 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)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* 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)))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(+ (log z) (log (sin y)))
(+ (log z) (log (sin y)))
(+ (log z) (log (sin y)))
(+ (log z) (log (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)
(* -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 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x 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) x))
(* z (- (/ 1 z) (/ y x)))
(* z (- (/ 1 z) (/ y x)))
(* z (- (/ 1 z) (/ y x)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin 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)))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+ (log (sin y)) (* -1 (log (/ 1 z))))
(+ (log (sin y)) (* -1 (log (/ 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)
(* -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 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x 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) x))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* z (+ (* -1 (/ y x)) (/ 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 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* 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)))))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 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)))))))
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 (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
x
(+ x (* -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 (* -1 (* y z)))
(+ x (* -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)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
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))))))))
(* 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
(+ 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) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(+ (log y) (log z))
(+ (log y) (+ (log z) (* -1/6 (pow y 2))))
(+ (log y) (+ (log z) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))))
(+ (log y) (+ (log z) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))))
(+ (* -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)))
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x 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)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (/ (* y z) x))
(* y (- (/ 1 y) (/ z x)))
(* y (- (/ 1 y) (/ z x)))
(* y (- (/ 1 y) (/ z x)))
(+ (* -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)))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x 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)))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (/ (* y z) x))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(* y (+ (* -1 (/ z x)) (/ 1 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)))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(log (* z (sin y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
(* -1 (/ (* y z) x))
(/ (- x (* y z)) x)
(/ (- x (* y z)) x)
(/ (- x (* y z)) x)
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* 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))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* x (cos y))
(* 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
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(* 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
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* 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
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)

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

rewrite184.0ms (2.2%)

Memory

1.6MiB live, 281.0MiB allocated

Rules

8 314×	`lower-fma.f32`
8 310×	`lower-fma.f64`
3 994×	`lower-*.f32`
3 980×	`lower-*.f64`
2 920×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	164
0	53	160
1	183	160
2	1065	160
0	8725	160

Stop Event

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

Counts

20 → 359

Calls

Call 1

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

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

eval138.0ms (1.6%)

Memory: 28.6MiB live, 339.9MiB allocated
Compiler: Compiled 16 109 to 1 425 computations (91.2% saved)

prune98.0ms (1.2%)

Memory

11.0MiB live, 284.1MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	978	8	986
Fresh	3	15	18
Picked	1	4	5
Done	0	2	2
Total	982	29	1 011

Accuracy

100.0%

Counts

1 011 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.8%	(fma.f64 (/.f64 (.f64 (.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
	80.6%	(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)))))
	46.5%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
	68.1%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
	72.9%	(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) x (*.f64 (neg.f64 z) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	53.1%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (/.f64 (neg.f64 (.f64 z z)) z) (sin.f64 y)))
✓	78.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
	50.3%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) (neg.f64 y))))
	30.8%	(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
	77.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))))
✓	38.1%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (exp.f64 (log.f64 (.f64 (sin.f64 y) z))))
	50.4%	#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))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	51.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
	89.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
▶	90.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
▶	12.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) (sin.f64 y)))
	22.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y)))
✓	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
▶	60.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	28.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x))) (-.f64 x (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x)))))
	9.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (neg.f64 (.f64 z z)) z) y)))
	37.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
✓	15.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
▶	9.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
▶	40.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)))
	15.5%	#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 810 to 572 computations (29.4% saved)

simplify76.0ms (0.9%)

Memory

-9.4MiB live, 149.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

2 274×	`lower-*.f32`
2 262×	`lower-*.f64`
1 954×	`lower-fma.f32`
1 950×	`lower-fma.f64`
1 540×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	300
0	56	290
1	97	290
2	198	278
3	733	278
4	4003	274
5	5947	274
0	8176	274

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1.3%)

Memory

-17.0MiB live, 250.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.1328125	(*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) (sin.f64 y))
accuracy	37.57329168442674	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) (sin.f64 y)))
accuracy	41.07745821178069	(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))
accuracy	0	(cos.f64 y)
accuracy	0.16015625	(*.f64 (cos.f64 y) x)
accuracy	25.44383762730205	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	4.526172199323936	(.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)
accuracy	4.913060220224954	(*.f64 (/.f64 (neg.f64 z) x) y)
accuracy	30.654695581114176	#s(approx (- 1 (/ (* z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y))
accuracy	31.138946696488812	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
accuracy	0	#s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x))
accuracy	4.526172199323936	(.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)
accuracy	31.138946696488812	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)))
accuracy	32.12566648536497	#s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))
accuracy	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy	0.08984375	(/.f64 (sin.f64 y) x)
accuracy	0.09603500976844202	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	5.771305197497908	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Samples

83.0ms

256×

valid

Compiler

Compiled 189 to 31 computations (83.6% saved)

Precisions

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

ival-mult: 21.0ms (32.2% of total)

ival-pow: 18.0ms (27.6% of total)

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

ival-cos: 6.0ms (9.2% of total)

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

ival-sub: 3.0ms (4.6% of total)

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

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory

-15.0MiB live, 144.1MiB allocated

Counts

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ (pow (neg z) 3) (+ (* z z) 0)) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (/ (sin y) x) (* (/ (neg z) x) y))
3.0ms	y	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ (pow (neg z) 3) (+ (* z z) 0)) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (/ (sin y) x) (* (/ (neg z) x) y))
3.0ms	z	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ (pow (neg z) 3) (+ (* z z) 0)) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (/ (sin y) x) (* (/ (neg z) x) y))
3.0ms	y	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ (pow (neg z) 3) (+ (* z z) 0)) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (/ (sin y) x) (* (/ (neg z) x) y))
2.0ms	x	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ (pow (neg z) 3) (+ (* z z) 0)) (+ (* z z) 0) (- (* x (cos y)) (* z (sin y))) (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (/ (sin y) x) (* (/ (neg z) x) y))

simplify165.0ms (2%)

Memory

28.2MiB live, 299.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
4 064×	`lower-*.f64`
4 064×	`lower-*.f32`
3 044×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	4032
1	629	3942
2	1658	3930
3	4113	3928
0	8318	3884

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 601

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

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

rewrite76.0ms (0.9%)

Memory

-22.8MiB live, 144.4MiB allocated

Rules

800×	`lower-*.f32`
788×	`lower-*.f64`
598×	`lower-/.f32`
592×	`lower-/.f64`
548×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	268
0	56	264
1	193	264
0	1342	264

Stop Event

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

Counts

21 → 170

Calls

Call 1

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

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

eval96.0ms (1.1%)

Memory: -13.2MiB live, 220.9MiB allocated
Compiler: Compiled 9 134 to 936 computations (89.8% saved)

prune67.0ms (0.8%)

Memory

39.5MiB live, 155.2MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	809	13	822
Fresh	5	13	18
Picked	2	3	5
Done	1	5	6
Total	817	34	851

Accuracy

100.0%

Counts

851 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(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)))))
	68.1%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
	72.9%	(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) x (*.f64 (neg.f64 z) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	53.1%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (/.f64 (neg.f64 (.f64 z z)) z) (sin.f64 y)))
✓	78.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
	50.3%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) (neg.f64 y))))
	50.4%	#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))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	72.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) #s(literal 2 binary64)))))
	51.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
	89.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	69.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
	90.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
	14.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) z) (/.f64 (sin.f64 y) z)))
	14.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) z)) (sin.f64 y)))
	22.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y)))
✓	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
✓	60.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	27.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	38.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	28.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x))) (-.f64 x (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x)))))
	9.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (neg.f64 (.f64 z z)) z) y)))
	37.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
✓	15.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
✓	9.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
	14.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (neg.f64 z) (/.f64 y x))) x)))
✓	40.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)))
	15.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)))
	15.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)))
	38.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)))

Compiler

Compiled 1 361 to 627 computations (53.9% saved)

regimes76.0ms (0.9%)

Memory

-16.7MiB live, 143.3MiB allocated

Counts

57 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (- (* 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 (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (neg.f64 z) (/.f64 y x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (neg.f64 (.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x))) (-.f64 x (.f64 (/.f64 (.f64 (neg.f64 z) y) x) 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)))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (/.f64 (neg.f64 (.f64 z z)) z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) z) (/.f64 (sin.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (exp.f64 (log.f64 (.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) z)) (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 (sin.f64 y) z))))
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(fma.f64 (/.f64 (.f64 (.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) #s(literal 2 binary64)))))

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

Calls

4 calls:

18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	x
17.0ms	y
16.0ms	z

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes49.0ms (0.6%)

Memory

-4.9MiB live, 81.8MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (- (* 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 (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (neg.f64 z) (/.f64 y x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (neg.f64 (.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x))) (-.f64 x (.f64 (/.f64 (.f64 (neg.f64 z) y) x) 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)))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (/.f64 (neg.f64 (.f64 z z)) z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

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

Calls

4 calls:

14.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	y
10.0ms	z
10.0ms	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)

regimes48.0ms (0.6%)

Memory

-17.9MiB live, 103.4MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (- (* 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 (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (neg.f64 z) (/.f64 y x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (neg.f64 (.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x))) (-.f64 x (.f64 (/.f64 (.f64 (neg.f64 z) y) x) 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)))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (/.f64 (neg.f64 (.f64 z z)) z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))))

Outputs

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

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

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

Calls

4 calls:

12.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	y
12.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
86.9%	3	`x`
82.5%	2	`y`
89.2%	3	`z`
78.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes90.0ms (1.1%)

Memory

17.8MiB live, 96.4MiB allocated

Counts

26 → 4

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (- (* 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 (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (neg.f64 z) (/.f64 y x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (neg.f64 (.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x))) (-.f64 x (.f64 (/.f64 (.f64 (neg.f64 z) y) x) 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)))

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

Calls

4 calls:

45.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
27.0ms	x
8.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
60.1%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
81.8%	4	`y`
77.8%	3	`x`
76.2%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes76.0ms (0.9%)

Memory

-22.7MiB live, 59.1MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (- (* 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 (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (neg.f64 z) (/.f64 y x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (neg.f64 (.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x))) (-.f64 x (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Outputs

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

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

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

Calls

3 calls:

36.0ms	y
8.0ms	z
8.0ms	x

Results

Accuracy	Segments	Branch
67.8%	3	`z`
67.7%	3	`x`
72.7%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes50.0ms (0.6%)

Memory

19.7MiB live, 59.0MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (- (* 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 (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (neg.f64 z) (/.f64 y x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 z) x) y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (neg.f64 (.f64 z z)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (/ (pow (neg z) 3) (+ (* z z) 0)) (sin y)) (.f64 (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) (neg.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x))) (-.f64 x (.f64 (/.f64 (.f64 (neg.f64 z) y) x) x)))))

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

Calls

4 calls:

26.0ms	x
7.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	z
7.0ms	y

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.8%	3	`x`
40.0%	1	`z`
40.0%	1	`y`
40.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.1%)

Memory

-36.1MiB live, 3.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
40.0%	1	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

bsearch65.0ms (0.8%)

Memory

31.7MiB live, 70.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	3.2212621064760486e-46	3.854044752509559e-42
18.0ms	-6.715018164763589e-38	-1.2491684499573664e-45

Samples

23.0ms

272×

valid

Compiler

Compiled 250 to 303 computations (-21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (37.2% of total)

ival-sin: 5.0ms (31% of total)

ival-mult: 3.0ms (18.6% of total)

ival-sub: 1.0ms (6.2% of total)

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

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

bsearch78.0ms (0.9%)

Memory

-9.0MiB live, 71.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	5413282421484172000.0	2.209260984340326e+19
12.0ms	4.2228183213232606e-11	9.326878011867105e-7
30.0ms	-29644092.65767676	-12215284.373196747

Samples

63.0ms

304×

valid

Compiler

Compiled 234 to 299 computations (-27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-cos: 25.0ms (45.3% of total)

ival-sin: 25.0ms (45.3% of total)

ival-mult: 4.0ms (7.2% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

bsearch48.0ms (0.6%)

Memory

6.8MiB live, 45.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5413282421484172000.0	2.209260984340326e+19
33.0ms	-255831.69115899468	-1.862059547182996e-9

Samples

35.0ms

240×

valid

Compiler

Compiled 348 to 334 computations (4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-cos: 21.0ms (70.7% of total)

ival-sin: 4.0ms (13.5% of total)

ival-mult: 3.0ms (10.1% of total)

ival-sub: 1.0ms (3.4% of total)

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

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

bsearch26.0ms (0.3%)

Memory

-9.2MiB live, 30.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.600183380959946e-228	8.357704730225914e-228
19.0ms	-3.687471814322042e-152	-1.0961985343976858e-153

Samples

18.0ms

160×

valid

Compiler

Compiled 132 to 184 computations (-39.4% saved)

Precisions

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

ival-sin: 8.0ms (55.5% of total)

ival-cos: 4.0ms (27.7% of total)

ival-mult: 2.0ms (13.9% of total)

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

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

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

simplify45.0ms (0.5%)

Memory

5.2MiB live, 48.4MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`-commutative-binary64-.f64`
18×	`+-commutative-binary64-+.f64`
18×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`cancel-sign-sub-inv-binary64-neg.f64-+.f64-*.f64--.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	318
1	96	318
2	115	318
3	124	318
4	130	318
5	132	318

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 z y))) (if (<=.f64 y #s(literal 11500000000000000000 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 -7746191359077253/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5500000000000000000 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 (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -4453275661289419/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6998747948750695/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) #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))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)))

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 z y))) (if (<=.f64 y #s(literal 11500000000000000000 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 -12500000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 z y))) (if (<=.f64 y #s(literal 11500000000000000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -7746191359077253/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5500000000000000000 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))))
(if (<=.f64 y #s(literal -7746191359077253/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 5500000000000000000 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 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -4453275661289419/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6998747948750695/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 binary64)) #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))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (- 1 (/ ( z y) x)) #s(literal 1 binary64)) x)))

soundness1.2s (14%)

Memory

7.6MiB live, 589.7MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
11 246×	`lower-fma.f64`
11 246×	`lower-fma.f32`
10 986×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	3428
1	669	3386
2	1766	3370
3	4341	3369
0	8693	3307
0	97	624
1	292	619
2	840	613
3	2068	607
4	3600	607
5	6269	607
0	8467	586
0	616	5531
1	1998	5314
2	6981	5269
0	8130	5137
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

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

Compiler

Compiled 249 to 161 computations (35.3% saved)

preprocess138.0ms (1.6%)

Memory: -2.1MiB live, 132.2MiB allocated
Compiler: Compiled 330 to 140 computations (57.6% 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%)

sample1.5s (17.9%)

explain137.0ms (1.6%)

preprocess48.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize38.0ms (0.4%)

series13.0ms (0.2%)

simplify212.0ms (2.5%)

rewrite223.0ms (2.7%)

eval39.0ms (0.5%)

prune86.0ms (1%)

simplify248.0ms (3%)

localize133.0ms (1.6%)

series207.0ms (2.5%)

simplify233.0ms (2.8%)

rewrite332.0ms (4%)

eval625.0ms (7.5%)

prune226.0ms (2.7%)

simplify460.0ms (5.5%)

localize219.0ms (2.6%)

series126.0ms (1.5%)

simplify224.0ms (2.7%)

rewrite184.0ms (2.2%)

eval138.0ms (1.6%)

prune98.0ms (1.2%)

simplify76.0ms (0.9%)

localize105.0ms (1.3%)

series46.0ms (0.5%)

simplify165.0ms (2%)

rewrite76.0ms (0.9%)

eval96.0ms (1.1%)

prune67.0ms (0.8%)

regimes76.0ms (0.9%)

regimes49.0ms (0.6%)

regimes48.0ms (0.6%)

regimes90.0ms (1.1%)

regimes76.0ms (0.9%)

regimes50.0ms (0.6%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch65.0ms (0.8%)

bsearch78.0ms (0.9%)

bsearch48.0ms (0.6%)

bsearch26.0ms (0.3%)

simplify45.0ms (0.5%)

soundness1.2s (14%)

preprocess138.0ms (1.6%)

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