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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

-36.9MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (17.2%)

Memory

44.8MiB live, 1 702.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 807.0ms

ival-mult: 350.0ms (43.4% of total)

ival-cos: 211.0ms (26.1% of total)

ival-sin: 192.0ms (23.8% of total)

ival-sub: 45.0ms (5.6% of total)

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

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain119.0ms (1.5%)

Memory

-12.6MiB live, 107.3MiB 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

72.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-cos: 13.0ms (40.1% of total)

ival-sin: 10.0ms (30.9% of total)

ival-mult: 7.0ms (21.6% of total)

ival-sub: 2.0ms (6.2% of total)

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

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

preprocess47.0ms (0.6%)

Memory

25.1MiB live, 60.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify15.0ms (0.2%)

Memory

-16.6MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.4%)

Memory

31.3MiB live, 69.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.01171875	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.09765625	(*.f64 x (cos.f64 y))
accuracy	0.109375	(*.f64 z (sin.f64 y))

Samples

22.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 5.0ms (33.4% of total)

ival-sin: 5.0ms (33.4% of total)

ival-mult: 3.0ms (20% of total)

ival-sub: 1.0ms (6.7% of total)

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

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

series27.0ms (0.4%)

Memory

-35.8MiB live, 15.7MiB 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
18.0ms	z	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	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)))

simplify190.0ms (2.5%)

Memory

-7.5MiB live, 189.9MiB 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)

rewrite632.0ms (8.2%)

Memory

10.7MiB live, 287.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 231

Calls

Call 1

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

Outputs
#<batchref>
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eval47.0ms (0.6%)

Memory: 14.3MiB live, 84.9MiB allocated
Compiler: Compiled 12 734 to 737 computations (94.2% saved)

prune16.0ms (0.2%)

Memory

18.7MiB live, 55.8MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	313	12	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	313	13	326

Accuracy

99.9%

Counts

326 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.1%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	82.5%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
▶	71.6%	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
	39.2%	(/.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))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	59.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
✓	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	79.4%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
▶	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	52.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	54.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
▶	44.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	57.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 431 to 290 computations (32.7% saved)

simplify75.0ms (1%)

Memory

-18.3MiB live, 72.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
cost-diff	14208	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
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 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y)
cost-diff	0	(-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z)
cost-diff	0	(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)
cost-diff	0	#s(approx (- (* 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))
cost-diff	0	(*.f64 z y)
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Rules

3 956×	`lower-fma.f32`
3 948×	`lower-fma.f64`
2 696×	`lower-*.f32`
2 684×	`lower-*.f64`
1 864×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	246
0	62	239
1	103	227
2	203	227
3	719	227
4	4402	227
5	6996	227
0	8270	227

Stop Event

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

Calls

Call 1

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

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

localize199.0ms (2.6%)

Memory

-32.3MiB live, 263.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.109375	(*.f64 (sin.f64 y) z)
accuracy	0.25228500976844204	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
accuracy	18.017524714451675	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 z)
accuracy	0.109375	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	35.799094096106195	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.03515625	(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)
accuracy	0.06640625	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y)
accuracy	0.1484375	(fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	30.286767772324183	#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))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (*.f64 z y))
accuracy	29.413187206304215	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0.0546875	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy	0.09765625	(*.f64 (cos.f64 y) x)
accuracy	0.16015625	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Samples

135.0ms

256×

valid

Compiler

Compiled 229 to 38 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-sin: 52.0ms (47.2% of total)

ival-mult: 18.0ms (16.3% of total)

const: 13.0ms (11.8% of total)

ival-add: 5.0ms (4.5% of total)

ival-cos: 5.0ms (4.5% of total)

ival-pow: 4.0ms (3.6% of total)

ival-div: 3.0ms (2.7% of total)

ival-sub: 3.0ms (2.7% of total)

ival-pow2: 3.0ms (2.7% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series84.0ms (1.1%)

Memory

26.1MiB live, 62.7MiB allocated

Counts

22 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (* (cos y) x) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z))
5.0ms	y	@	0	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (* (cos y) x) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z))
5.0ms	z	@	0	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (* (cos y) x) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z))
4.0ms	y	@	-inf	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (* (cos y) x) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z))
4.0ms	z	@	inf	((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (* (cos y) x) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z))

simplify187.0ms (2.4%)

Memory

17.5MiB live, 204.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 116×	`lower-fma.f64`
8 116×	`lower-fma.f32`
6 626×	`lower-*.f64`
6 626×	`lower-*.f32`
1 902×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	527	6373
1	1759	6192
2	6182	6140
0	8238	5909

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 635

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(* -1/2 (* x y))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(* -1/2 (* x y))
(+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z)))
(+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z)))
(+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* 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 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (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))
(* -1/2 x)
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* 1/6 (* (pow y 2) z))
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))))
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))))
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (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))
(* 1/6 (* y z))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(/ 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 (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
(* 1/6 (* (pow y 2) z))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (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)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (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))
(* 1/6 (* y z))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x 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))
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 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 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)))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
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 z)
(- (* -1/2 (* x y)) z)
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)
(* -1/2 (* x y))
(* y (+ (* -1/2 x) (* 1/6 (* y z))))
(* y (+ (* -1/2 x) (* 1/6 (* y z))))
(* y (+ (* -1/2 x) (* 1/6 (* y z))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y 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)))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (* 1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (- (* (pow y 2) (- (* -2/45 (* (pow y 2) (pow z 2))) (* -1/3 (pow z 2)))) (pow z 2)))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* 1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))) (* -1/3 (pow z 2)))) (pow z 2)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
x
(+ x (* -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))))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(* 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)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(- (* x (cos y)) (* z (sin y)))
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(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z)))
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(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y)))))
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(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z)))
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(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))
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x
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(* x (cos y))
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(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))

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

rewrite104.0ms (1.3%)

Memory

-31.3MiB live, 90.1MiB allocated

Rules

1 394×	`lower-fma.f32`
1 386×	`lower-fma.f64`
946×	`lower-*.f32`
934×	`lower-*.f64`
504×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	205
0	62	192
1	237	186
0	1661	186

Stop Event

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

Counts

22 → 559

Calls

Call 1

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

Outputs
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eval304.0ms (3.9%)

Memory: 45.8MiB live, 428.2MiB allocated
Compiler: Compiled 26 300 to 2 348 computations (91.1% saved)

prune78.0ms (1%)

Memory

-16.0MiB live, 212.6MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 347	27	1 374
Fresh	5	2	7
Picked	4	1	5
Done	0	1	1
Total	1 356	31	1 387

Accuracy

100.0%

Counts

1 387 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.1%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
▶	81.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) z) (.f64 x (cos.f64 y)))
	58.0%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x))
	53.4%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #s(literal -1/2 binary64)))
	53.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	36.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	37.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
	57.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
✓	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	79.4%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	53.5%	(.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
	52.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
	54.0%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (neg.f64 z) y x))
	87.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
▶	88.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x))
	57.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
▶	53.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y x))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	35.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 z y)) y)) y x))
	33.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z)))))
	28.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) z)))
✓	44.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
	51.4%	#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)))
▶	19.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	48.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
	19.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 z) y))))

Compiler

Compiled 821 to 641 computations (21.9% saved)

simplify121.0ms (1.6%)

Memory

4.4MiB live, 171.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 y))
cost-diff	448	(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) z)
cost-diff	14016	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) z) (.f64 x (cos.f64 y)))
cost-diff	0	(*.f64 z (sin.f64 y))
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))) (.f64 z (sin.f64 y)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)
cost-diff	0	#s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z))
cost-diff	0	(fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
cost-diff	0	(neg.f64 (sin.f64 y))
cost-diff	0	(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)

Rules

4 972×	`lower-fma.f32`
4 964×	`lower-fma.f64`
4 070×	`lower-*.f32`
4 054×	`lower-*.f64`
1 558×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	284
0	80	277
1	135	273
2	229	273
3	514	273
4	1283	266
5	3207	266
6	5999	266
0	8357	263

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.8%)

Memory

32.9MiB live, 379.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(*.f64 (sin.f64 y) z)
accuracy	0.25228500976844204	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	0.943018790550009	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) z) (.f64 x (cos.f64 y)))
accuracy	18.72998713051205	(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) z)
accuracy	0.01171875	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
accuracy	0.09765625	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	27.761454925196322	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
accuracy	5.231065626403938	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)
accuracy	16.193735098311578	#s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z))
accuracy	30.286767772324183	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y x))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	29.40970746199475	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
accuracy	29.413187206304215	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
accuracy	0	(cos.f64 y)
accuracy	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x))
accuracy	1.9331950745242814	(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y))
accuracy	5.560513710683054	(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)

Samples

101.0ms

256×

valid

Compiler

Compiled 214 to 46 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 26.0ms (32.1% of total)

ival-div: 15.0ms (18.5% of total)

ival-cos: 12.0ms (14.8% of total)

ival-add: 6.0ms (7.4% of total)

ival-sin: 6.0ms (7.4% of total)

const: 4.0ms (4.9% of total)

ival-pow: 4.0ms (4.9% of total)

ival-sub: 3.0ms (3.7% of total)

ival-pow2: 2.0ms (2.5% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series58.0ms (0.7%)

Memory

-13.1MiB live, 182.5MiB allocated

Counts

24 → 612

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	((* (+ (* (neg (sin y)) (/ z x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg (sin y)) (/ z x)) (cos y)) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* y y)) -1) z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (/ -1 (sin y)) (/ (pow (* (sin y) z) 2) z)) (* x (cos y))) (/ (pow (* (sin y) z) 2) z) (/ -1 (sin y)) (sin y) (cos y) (+ (* 1/6 (* y y)) -1) (pow (* (sin y) z) 2) (* (sin y) z))
6.0ms	z	@	0	((* (+ (* (neg (sin y)) (/ z x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg (sin y)) (/ z x)) (cos y)) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* y y)) -1) z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (/ -1 (sin y)) (/ (pow (* (sin y) z) 2) z)) (* x (cos y))) (/ (pow (* (sin y) z) 2) z) (/ -1 (sin y)) (sin y) (cos y) (+ (* 1/6 (* y y)) -1) (pow (* (sin y) z) 2) (* (sin y) z))
3.0ms	z	@	-inf	((* (+ (* (neg (sin y)) (/ z x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg (sin y)) (/ z x)) (cos y)) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* y y)) -1) z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (/ -1 (sin y)) (/ (pow (* (sin y) z) 2) z)) (* x (cos y))) (/ (pow (* (sin y) z) 2) z) (/ -1 (sin y)) (sin y) (cos y) (+ (* 1/6 (* y y)) -1) (pow (* (sin y) z) 2) (* (sin y) z))
3.0ms	y	@	-inf	((* (+ (* (neg (sin y)) (/ z x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg (sin y)) (/ z x)) (cos y)) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* y y)) -1) z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (/ -1 (sin y)) (/ (pow (* (sin y) z) 2) z)) (* x (cos y))) (/ (pow (* (sin y) z) 2) z) (/ -1 (sin y)) (sin y) (cos y) (+ (* 1/6 (* y y)) -1) (pow (* (sin y) z) 2) (* (sin y) z))
3.0ms	z	@	inf	((* (+ (* (neg (sin y)) (/ z x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg (sin y)) (/ z x)) (cos y)) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* y y)) -1) z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (/ -1 (sin y)) (/ (pow (* (sin y) z) 2) z)) (* x (cos y))) (/ (pow (* (sin y) z) 2) z) (/ -1 (sin y)) (sin y) (cos y) (+ (* 1/6 (* y y)) -1) (pow (* (sin y) z) 2) (* (sin y) z))

simplify267.0ms (3.4%)

Memory

-34.9MiB live, 244.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 348×	`lower-fma.f64`
15 348×	`lower-fma.f32`
7 056×	`lower-*.f64`
7 056×	`lower-*.f32`
3 478×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	5323
1	1131	5146
2	3566	5078
0	8118	4888

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 599

Calls

Call 1

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

rewrite184.0ms (2.4%)

Memory

10.8MiB live, 243.1MiB allocated

Rules

7 440×	`lower-fma.f32`
7 432×	`lower-fma.f64`
4 650×	`lower-*.f32`
4 634×	`lower-*.f64`
3 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	249
0	80	246
1	304	244
2	2086	234
0	8654	231

Stop Event

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

Counts

24 → 784

Calls

Call 1

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

Outputs
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eval405.0ms (5.2%)

Memory: 9.4MiB live, 247.2MiB allocated
Compiler: Compiled 27 055 to 2 806 computations (89.6% saved)

prune303.0ms (3.9%)

Memory

-12.1MiB live, 111.9MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 422	16	1 438
Fresh	11	13	24
Picked	2	3	5
Done	0	2	2
Total	1 435	34	1 469

Accuracy

100.0%

Counts

1 469 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.4%	(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 z z) (.f64 z (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	67.0%	(fma.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (.f64 z (sin.f64 y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	73.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	53.5%	(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
	36.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	57.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
▶	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
✓	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	43.1%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
✓	79.4%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	53.4%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
	52.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	54.0%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (neg.f64 z) y x))
	76.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 z x) (neg.f64 (sin.f64 y))) (cos.f64 y))))
	87.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
▶	88.2%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 z x) (cos.f64 y)) x))
	67.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) #s(approx (cos y) #s(literal 1 binary64))) x))
▶	91.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)) x))
▶	57.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
	51.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
	35.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
▶	37.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x))
✓	53.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y x))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	35.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 #s(approx (+ ( 1/6 (* y y)) -1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) z)) y x))
	33.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z)))))
✓	44.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
✓	19.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	48.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))

Compiler

Compiled 783 to 660 computations (15.7% saved)

simplify175.0ms (2.3%)

Memory

11.1MiB live, 85.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 z x) (cos.f64 y))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 z x) (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 z x) (cos.f64 y)) x)
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)) x))
cost-diff	704	(.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)) x)

Rules

6 870×	`lower-fma.f32`
6 868×	`lower-fma.f64`
2 370×	`lower-*.f32`
2 362×	`lower-*.f64`
1 566×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	263
0	56	248
1	88	226
2	140	226
3	282	226
4	617	218
5	1144	218
6	1955	218
7	3743	218
8	5237	218
9	7196	218
10	7522	218
11	7616	218
12	7654	218
13	7677	218
0	8044	218

Stop Event

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

Calls

Call 1

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

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

localize198.0ms (2.6%)

Memory

-24.7MiB live, 136.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(/.f64 #s(literal -1 binary64) (sin.f64 y))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
accuracy	1.9331950745242814	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 z x) (cos.f64 y))
accuracy	5.560513710683054	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 z x) (cos.f64 y)) x)
accuracy	0	(cos.f64 y)
accuracy	0.09765625	(*.f64 (cos.f64 y) x)
accuracy	27.23302736890563	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
accuracy	39.796783980968705	#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))
accuracy	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x))
accuracy	5.560513710683054	(.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x)
accuracy	39.98277247746684	#s(approx (+ (* (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	1.8284718960652326	(/.f64 (*.f64 z (sin.f64 y)) x)
accuracy	5.560513710683054	(.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)) x)

Samples

143.0ms

256×

valid

Compiler

Compiled 208 to 30 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 48.0ms (37.8% of total)

ival-pow: 36.0ms (28.4% of total)

ival-mult: 26.0ms (20.5% of total)

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

ival-cos: 5.0ms (3.9% of total)

ival-add: 3.0ms (2.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.7%)

Memory

19.7MiB live, 57.9MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

9 calls:

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

simplify249.0ms (3.2%)

Memory

-7.5MiB live, 199.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 560×	`lower-fma.f64`
11 560×	`lower-fma.f32`
5 704×	`lower-*.f64`
5 704×	`lower-*.f32`
3 044×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	5296
1	1169	5190
2	3928	5142
0	8103	5042

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 555

Calls

Call 1

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

rewrite206.0ms (2.7%)

Memory

11.6MiB live, 279.3MiB allocated

Rules

5 858×	`lower-fma.f32`
5 856×	`lower-fma.f64`
4 380×	`lower-*.f32`
4 372×	`lower-*.f64`
3 772×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	238
0	56	215
1	189	201
2	1163	201
0	8430	201

Stop Event

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

Counts

19 → 454

Calls

Call 1

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

Outputs
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eval170.0ms (2.2%)

Memory: 22.2MiB live, 331.4MiB allocated
Compiler: Compiled 18 742 to 1 697 computations (90.9% saved)

prune91.0ms (1.2%)

Memory

-2.9MiB live, 206.3MiB allocated

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	1 028	9	1 037
Fresh	4	20	24
Picked	1	4	5
Done	0	5	5
Total	1 033	38	1 071

Accuracy

100.0%

Counts

1 071 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(fma.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (.f64 z (sin.f64 y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	73.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	53.5%	(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
	36.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	57.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
✓	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
✓	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	43.1%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
✓	79.4%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	53.4%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
	52.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	54.0%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (neg.f64 z) y x))
	76.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 z x) (neg.f64 (sin.f64 y))) (cos.f64 y))))
	57.2%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))))
	88.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)))))
	87.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	67.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 z x) #s(approx (cos y) #s(literal 1 binary64))) x))
	67.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) #s(approx (cos y) #s(literal 1 binary64))) x))
✓	91.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)) x))
	88.2%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (sin.f64 y)))) x))
✓	57.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
	51.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (- (cos y) (/ ( z (sin y)) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
	35.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (- (cos y) (/ ( z (sin y)) x)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
✓	37.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x))
	35.2%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.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))
	35.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	35.5%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #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)))
✓	53.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y x))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	35.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (.f64 #s(approx (+ ( 1/6 (* y y)) -1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) z)) y x))
	33.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z)))))
✓	44.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
✓	19.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	48.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))))

Compiler

Compiled 1 391 to 676 computations (51.4% saved)

regimes81.0ms (1%)

Memory

-24.1MiB live, 211.5MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	x
19.0ms	y
19.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	z

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes52.0ms (0.7%)

Memory

-3.0MiB live, 113.2MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

#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)))

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

Calls

4 calls:

15.0ms	y
12.0ms	z
11.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
11.0ms	x

Results

Accuracy	Segments	Branch
87.9%	3	`x`
82.4%	2	`y`
87.2%	3	`z`
79.4%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes38.0ms (0.5%)

Memory

8.0MiB live, 84.3MiB allocated

Counts

29 → 5

Calls

Call 1

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

10.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
10.0ms	z
8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
64.5%	4	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
83.7%	5	`y`
74.8%	3	`z`
79.4%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes34.0ms (0.4%)

Memory

2.7MiB live, 53.6MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

24.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
68.2%	3	`x`
74.9%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes34.0ms (0.4%)

Memory

15.3MiB live, 93.0MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
8.0ms	x
7.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	z

Results

Accuracy	Segments	Branch
54.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
54.0%	1	`x`
54.0%	1	`z`
54.0%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory

-3.5MiB live, 36.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

3.0ms	z
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
54.0%	1	`y`
54.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
54.0%	1	`x`
54.0%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory

-9.1MiB live, 35.6MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

5.0ms	x
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
37.7%	1	`y`
41.2%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
44.7%	3	`x`
42.4%	2	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

-22.2MiB live, 17.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
37.7%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
37.7%	1	`z`
37.7%	1	`x`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

bsearch34.0ms (0.4%)

Memory

35.7MiB live, 74.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.1343201858946476e+33	6.3923069053984875e+35
14.0ms	-4.9553729136214744e+86	-7.0977191965043425e+84

Samples

23.0ms

240×

valid

Compiler

Compiled 222 to 269 computations (-21.2% saved)

Precisions

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

ival-sin: 7.0ms (41.1% of total)

ival-cos: 5.0ms (29.4% of total)

ival-mult: 3.0ms (17.6% of total)

ival-sub: 1.0ms (5.9% of total)

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

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

bsearch88.0ms (1.1%)

Memory

-7.0MiB live, 147.4MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	2.568151477764549e+135	3.012038278172638e+138
17.0ms	4.316521574420629e-6	0.3141201011245898
22.0ms	-18286706951.571503	-9885198.601215344
24.0ms	-7.4730030218598e+229	-2.794819674316726e+221

Samples

57.0ms

544×

valid

Compiler

Compiled 650 to 669 computations (-2.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-cos: 17.0ms (38.3% of total)

ival-sin: 14.0ms (31.6% of total)

ival-mult: 7.0ms (15.8% of total)

ival-sub: 6.0ms (13.5% of total)

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

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

bsearch21.0ms (0.3%)

Memory

-2.4MiB live, 35.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.5817022269574041	2441.310602990325
1.0ms	-18286706951.571503	-9885198.601215344

Samples

10.0ms

128×

valid

Compiler

Compiled 428 to 382 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 2.0ms (29.3% of total)

ival-mult: 2.0ms (29.3% of total)

ival-sin: 2.0ms (29.3% of total)

ival-sub: 1.0ms (14.7% of total)

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

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

bsearch44.0ms (0.6%)

Memory

-14.6MiB live, 68.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.1874305007522093e-205	1.9147486751523315e-198
23.0ms	-1.8591654446466908e-103	-2.48582809401243e-120

Samples

28.0ms

304×

valid

Compiler

Compiled 221 to 318 computations (-43.9% saved)

Precisions

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

ival-cos: 10.0ms (48.2% of total)

ival-sin: 6.0ms (28.9% of total)

ival-mult: 4.0ms (19.3% of total)

ival-sub: 1.0ms (4.8% of total)

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

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

simplify28.0ms (0.4%)

Memory

27.5MiB live, 66.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`-commutative-binary64-.f64`
20×	`+-commutative-binary64-+.f64`
20×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`cancel-sign-sub-inv-binary64-neg.f64-+.f64-*.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	370
1	107	370
2	128	370
3	139	370
4	146	370
5	148	370

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 19199999999999999877381638636699648 binary64)) (-.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))))
(if (<=.f64 y #s(literal -349999999999999999615865245530785263655435190356873539154956090799395376422637885540527779875053780689885092099451887773471736131364906942021964986957032083926891555693196651928026643970061380169234332203592148322470458294272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3530822107858469/36028797018963968 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) (if (<=.f64 y #s(literal 175999999999999995864275466246338005622984591187726060984096918557321183944454758099657363005809837254536956246311475947973953976270848000 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 -10000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5817289496240377/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) #s(approx (/ 1 (pow (+ ( (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 19199999999999999877381638636699648 binary64)) (-.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))))
(if (<=.f64 x #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 19199999999999999877381638636699648 binary64)) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 (sin.f64 y) z)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -349999999999999999615865245530785263655435190356873539154956090799395376422637885540527779875053780689885092099451887773471736131364906942021964986957032083926891555693196651928026643970061380169234332203592148322470458294272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3530822107858469/36028797018963968 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) (if (<=.f64 y #s(literal 175999999999999995864275466246338005622984591187726060984096918557321183944454758099657363005809837254536956246311475947973953976270848000 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 -349999999999999999615865245530785263655435190356873539154956090799395376422637885540527779875053780689885092099451887773471736131364906942021964986957032083926891555693196651928026643970061380169234332203592148322470458294272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3530822107858469/36028797018963968 binary64)) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* 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) y))) (if (<=.f64 y #s(literal 175999999999999995864275466246338005622984591187726060984096918557321183944454758099657363005809837254536956246311475947973953976270848000 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 -10000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* 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) y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5817289496240377/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) #s(approx (/ 1 (pow (+ ( (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg (sin y)) (/ z x)) (cos y)) #s(literal 1 binary64)) x))

soundness1.0s (13.5%)

Memory

-15.0MiB live, 749.3MiB allocated

Rules

15 348×	`lower-fma.f64`
15 348×	`lower-fma.f32`
12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
10 986×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	527	6373
1	1759	6192
2	6182	6140
0	8238	5909
0	97	624
1	292	619
2	840	613
3	2068	607
4	3600	607
5	6269	607
0	8467	586
0	359	5323
1	1131	5146
2	3566	5078
0	8118	4888
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 327 to 199 computations (39.1% saved)

preprocess112.0ms (1.4%)

Memory: -15.1MiB live, 102.4MiB allocated
Compiler: Compiled 368 to 144 computations (60.9% 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%)

analyze3.0ms (0%)

sample1.3s (17.2%)

explain119.0ms (1.5%)

preprocess47.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.2%)

localize30.0ms (0.4%)

series27.0ms (0.4%)

simplify190.0ms (2.5%)

rewrite632.0ms (8.2%)

eval47.0ms (0.6%)

prune16.0ms (0.2%)

simplify75.0ms (1%)

localize199.0ms (2.6%)

series84.0ms (1.1%)

simplify187.0ms (2.4%)

rewrite104.0ms (1.3%)

eval304.0ms (3.9%)

prune78.0ms (1%)

simplify121.0ms (1.6%)

localize138.0ms (1.8%)

series58.0ms (0.7%)

simplify267.0ms (3.4%)

rewrite184.0ms (2.4%)

eval405.0ms (5.2%)

prune303.0ms (3.9%)

simplify175.0ms (2.3%)

localize198.0ms (2.6%)

series57.0ms (0.7%)

simplify249.0ms (3.2%)

rewrite206.0ms (2.7%)

eval170.0ms (2.2%)

prune91.0ms (1.2%)

regimes81.0ms (1%)

regimes52.0ms (0.7%)

regimes38.0ms (0.5%)

regimes34.0ms (0.4%)

regimes34.0ms (0.4%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch34.0ms (0.4%)

bsearch88.0ms (1.1%)

bsearch21.0ms (0.3%)

bsearch44.0ms (0.6%)

simplify28.0ms (0.4%)

soundness1.0s (13.5%)

preprocess112.0ms (1.4%)

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