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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 (15.8%)

Memory

0.1MiB live, 1 549.2MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 721.0ms

ival-cos: 276.0ms (38.3% of total)

ival-mult: 210.0ms (29.1% of total)

ival-sin: 186.0ms (25.8% of total)

ival-sub: 39.0ms (5.4% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

explain129.0ms (1.5%)

Memory

-0.1MiB live, 307.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

78.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-sin: 17.0ms (33.5% of total)

ival-sub: 11.0ms (21.7% of total)

ival-cos: 11.0ms (21.7% of total)

ival-mult: 11.0ms (21.7% of total)

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

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

preprocess47.0ms (0.6%)

Memory

14.9MiB live, 90.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	90	84
2	181	84
3	387	84
4	698	84
5	922	84
6	1124	84
7	1200	84
8	1209	84
9	1213	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	226	9
8	292	9
9	322	9
10	338	9
0	338	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: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify23.0ms (0.3%)

Memory

-37.3MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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	226	24
8	292	24
9	322	24
10	338	24
0	338	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)

localize32.0ms (0.4%)

Memory

23.1MiB live, 61.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.1328125	(*.f64 z (sin.f64 y))
accuracy	0.1328125	(*.f64 x (cos.f64 y))

Samples

26.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-sin: 7.0ms (39.9% of total)

ival-cos: 6.0ms (34.2% of total)

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

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

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

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

series37.0ms (0.4%)

Memory

-14.5MiB live, 22.1MiB 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
27.0ms	y	@	0	((- (* 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	z	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify178.0ms (2.1%)

Memory

25.8MiB live, 290.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	850	613
3	2082	607
4	3665	607
5	6311	607
0	8695	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 (pow.f64 y #s(literal 5 binary64)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (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)

rewrite239.0ms (2.8%)

Memory

-33.1MiB live, 352.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	33	19
2	210	19
3	1966	19
0	8307	19

Stop Event

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

Counts

4 → 228

Calls

Call 1

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

Outputs
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eval77.0ms (0.9%)

Memory: 13.1MiB live, 50.3MiB allocated
Compiler: Compiled 12 664 to 732 computations (94.2% saved)

prune49.0ms (0.6%)

Memory

3.0MiB live, 47.1MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	307	15	322
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	307	16	323

Accuracy

99.9%

Counts

323 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.8%	(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)))))
	81.8%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	23.8%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	34.1%	(/.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))))
	28.6%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	54.0%	(/.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)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	45.6%	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
	34.0%	(.f64 (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))))
▶	53.9%	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
	49.4%	#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))
	49.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	51.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	39.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
▶	61.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 701 to 400 computations (42.9% saved)

simplify132.0ms (1.6%)

Memory

-19.0MiB live, 135.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	41664	(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)))))
cost-diff	0	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff	128	(-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))
cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)))
cost-diff	27456	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	307
0	62	262
1	109	260
2	206	259
3	615	259
4	1779	259
5	5243	259
6	6453	259
0	8080	259

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.8%)

Memory

6.5MiB live, 159.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(*.f64 (cos.f64 y) x)
accuracy	0.23828125	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.2421875	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	12.673589425872583	(/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)))
accuracy	0.2421875	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	2.4960813649812352	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy	29.24020833330148	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
accuracy	0	(cos.f64 y)
accuracy	0.1328125	(*.f64 (cos.f64 y) x)
accuracy	24.314939682048518	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (*.f64 z y))
accuracy	31.236003043820105	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0.05078125	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy	0.1328125	(*.f64 (cos.f64 y) x)
accuracy	0.20703125	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.28515625	(/.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

90.0ms

256×

valid

Compiler

Compiled 597 to 68 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 14.0ms (25.8% of total)

ival-sin: 7.0ms (12.9% of total)

ival-pow2: 7.0ms (12.9% of total)

ival-div: 6.0ms (11.1% of total)

ival-cos: 6.0ms (11.1% of total)

ival-sub: 4.0ms (7.4% of total)

ival-pow: 4.0ms (7.4% of total)

ival-add: 3.0ms (5.5% of total)

ival-neg: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series134.0ms (1.6%)

Memory

20.5MiB live, 185.8MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	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))) (* (cos y) x) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))
13.0ms	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))) (* (cos y) x) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))
8.0ms	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))) (* (cos y) x) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))
6.0ms	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))) (* (cos y) x) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))
6.0ms	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))) (* (cos y) x) (cos y) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))

simplify234.0ms (2.8%)

Memory

2.6MiB live, 339.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	718	7518
1	2409	7183
0	8424	6965

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 552

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 (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)))
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y))))
(- (* z (- (* -1 (/ (* 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))) (/ (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))))
(* -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)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* 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 (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 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z)
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))))
(* -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 (* 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 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -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)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)))))
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 (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x)))))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))

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))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* 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 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x)
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y))))
(/.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)
(- (* z (- (* -1 (/ (* 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 (neg.f64 z) (/.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)))) (/.f64 (sin.f64 y) (.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x))
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -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 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (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 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x))
(* -1 (* x (cos y)))
(*.f64 (neg.f64 (cos.f64 y)) x)
(- (* -1 (* z (sin y))) (* x (cos y)))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(- (* -1 (* z (sin y))) (* x (cos y)))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(- (* -1 (* z (sin y))) (* x (cos y)))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(-.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(-.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(-.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x))
(* (pow z 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(* (pow z 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(* (pow z 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(* (pow z 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (.f64 z z))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (.f64 z z))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (.f64 z z))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/ (- (* -1 (/ (* (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)
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z)
(* -1 (* z (sin y)))
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(* -1 (* y z))
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(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z)
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(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
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(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
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(* -1 (* z (sin y)))
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(*.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (.f64 z z))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x))) (neg.f64 x))) x))) x)

rewrite329.0ms (3.9%)

Memory

28.2MiB live, 504.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	203
0	62	158
1	243	156
2	1711	156
0	8804	156

Stop Event

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

Counts

19 → 2 059

Calls

Call 1

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

Outputs
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eval603.0ms (7.2%)

Memory: 8.0MiB live, 863.8MiB allocated
Compiler: Compiled 130 121 to 4 667 computations (96.4% saved)

prune176.0ms (2.1%)

Memory

-31.2MiB live, 245.6MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	2 940	33	2 973
Fresh	9	1	10
Picked	4	1	5
Done	0	1	1
Total	2 953	36	2 989

Accuracy

100.0%

Counts

2 989 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))
	81.8%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 x (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) x) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))))
	49.0%	(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 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (.f64 (/.f64 (*.f64 z z) x) y) y))))
	81.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) 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)))))
	81.8%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	46.1%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	36.9%	(/.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))))
	37.7%	(/.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))))
▶	61.8%	(/.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))))
	37.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	39.6%	(/.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))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	47.2%	(.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
	51.7%	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- ( (neg z) (sin y)) (* (cos y) x)) (*.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))))
	22.6%	(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))))
▶	32.0%	(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))))
▶	49.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	49.6%	#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))
	88.6%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)))
▶	92.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	89.6%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
	39.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	51.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	48.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	61.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	35.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	34.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	35.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
▶	37.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	25.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (exp.f64 (log.f64 (*.f64 x (cos.f64 y)))))
	40.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
	16.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	35.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	35.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	89.6%	#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (*.f64 z (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z)) z) (sin.f64 y))))
	24.2%	#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x))

Compiler

Compiled 1 162 to 848 computations (27% saved)

simplify179.0ms (2.1%)

Memory

4.8MiB live, 150.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))
cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)))
cost-diff	192	(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))))
cost-diff	320	(.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
cost-diff	0	#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) 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) (*.f64 (cos.f64 y) x))))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))
cost-diff	0	(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)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	342
0	83	338
1	136	322
2	263	322
3	634	321
4	1281	317
5	2549	317
6	4978	317
7	7576	317
0	8356	314

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

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

localize213.0ms (2.5%)

Memory

-0.4MiB live, 235.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)))
accuracy	0.23828125	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	21.667081287774327	#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x)))
accuracy	29.24020833330148	(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))))
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
accuracy	0.1328125	(*.f64 (cos.f64 y) x)
accuracy	0.28515625	(/.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))))
accuracy	24.393744833291116	#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))
accuracy	0.0546875	(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)
accuracy	0.3359853612074866	(fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	32.40057556179428	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
accuracy	0.1328125	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy	24.314939682048518	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy	29.844086658751085	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy	0.0859375	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.140625	(/.f64 (sin.f64 y) x)
accuracy	4.901722442896952	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Samples

161.0ms

256×

valid

Compiler

Compiled 528 to 81 computations (84.7% saved)

Precisions

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

ival-add: 27.0ms (21.9% of total)

ival-sin: 27.0ms (21.9% of total)

ival-mult: 22.0ms (17.9% of total)

const: 17.0ms (13.8% of total)

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

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

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

ival-pow: 4.0ms (3.2% of total)

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

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

exact: 1.0ms (0.8% of total)

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

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

series93.0ms (1.1%)

Memory

14.2MiB live, 98.2MiB allocated

Counts

22 → 660

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	y	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (neg (pow (cos y) 2)) (* x x)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (/ (sin y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (cos y) 2))
5.0ms	y	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (neg (pow (cos y) 2)) (* x x)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (/ (sin y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (cos y) 2))
4.0ms	x	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (neg (pow (cos y) 2)) (* x x)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (/ (sin y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (cos y) 2))
4.0ms	x	@	0	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (neg (pow (cos y) 2)) (* x x)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (/ (sin y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (cos y) 2))
4.0ms	x	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (neg (pow (cos y) 2)) (* x x)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (/ (sin y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (cos y) 2))

simplify263.0ms (3.1%)

Memory

-25.1MiB live, 263.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	7856
1	2168	7589
2	7364	7531
0	8175	7260

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 651

Calls

Call 1

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

rewrite208.0ms (2.5%)

Memory

22.5MiB live, 219.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	287
0	83	271
1	293	267
2	1801	267
0	8345	264

Stop Event

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

Counts

22 → 490

Calls

Call 1

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

Outputs
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eval311.0ms (3.7%)

Memory: -8.4MiB live, 303.7MiB allocated
Compiler: Compiled 29 237 to 3 002 computations (89.7% saved)

prune139.0ms (1.7%)

Memory

13.9MiB live, 139.5MiB allocated

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	1 212	23	1 235
Fresh	13	16	29
Picked	3	2	5
Done	0	2	2
Total	1 228	43	1 271

Accuracy

100.0%

Counts

1 271 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))
	49.0%	(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 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (.f64 (/.f64 (*.f64 z z) x) y) y))))
	81.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
	46.1%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	36.9%	(/.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))))
	61.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x)))
	61.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))))
	61.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (cos.f64 y) #s(literal -1 binary64))))))
✓	61.8%	(/.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))))
▶	34.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))))
	37.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	39.6%	(/.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))))
	35.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) x)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	22.6%	(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))))
	32.2%	(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) #s(approx (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x))))
	49.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	49.6%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x))
	50.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
	51.2%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (neg.f64 y) z x))
	50.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y x))
	35.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y x))
	35.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	89.5%	#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))
▶	88.6%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
	88.5%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (fma.f64 (sin.f64 y) (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 z)) (cos.f64 y)) x))
▶	92.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (fma.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) x))
	73.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))) x))
	39.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	43.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
▶	45.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
	32.2%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
	35.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
	43.9%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 x z))) z)))
	48.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	61.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	35.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
✓	37.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	40.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
▶	16.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	35.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	35.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	24.2%	#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x))

Compiler

Compiled 1 288 to 958 computations (25.6% saved)

simplify107.0ms (1.3%)

Memory

-18.1MiB live, 60.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
cost-diff	0	#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) 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) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))))
cost-diff	320	(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
cost-diff	0	(fma.f64 (neg.f64 z) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (fma.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) x))
cost-diff	704	(.f64 (fma.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) x)
cost-diff	6080	(*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	412
0	83	410
1	143	392
2	265	378
3	597	370
4	1147	370
5	2125	370
6	4865	370
7	5833	370
8	7354	370
0	8106	364

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

Outputs
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (fma.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
(.f64 (fma.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
(neg.f64 z)
z
(*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y))
(/.f64 (sin.f64 y) x)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sin.f64 y)
y
(cos.f64 y)
#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)) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 z) y)
(*.f64 y (neg.f64 z))
(neg.f64 z)
z
y
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64))) x))
(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x)
(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64))) x)
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))
#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64))
(neg.f64 y)
y
(/.f64 z x)
z
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/24 binary64) #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) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x))))
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) x)))
#s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x))
#s(approx (* (cos y) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) x))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) x)
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)
#s(literal 1/24 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
(sin.f64 y)
y
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
(cos.f64 y)

localize274.0ms (3.2%)

Memory

28.2MiB live, 186.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
accuracy	2.426817159131045	(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y))
accuracy	4.901722442896952	(*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))))
accuracy	6.335123465340832	(.f64 (.f64 y y) x)
accuracy	24.393744833291116	#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x))))
accuracy	32.49649931747594	#s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x))
accuracy	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
accuracy	2.434629659131045	(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
accuracy	4.901722442896952	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x)
accuracy	29.673901309553525	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	31.236003043820105	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
accuracy	32.203571791066295	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
accuracy	0	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (fma.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) x))
accuracy	0.0859375	(fma.f64 (neg.f64 z) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y))
accuracy	0.348320019536884	(*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y))
accuracy	4.901722442896952	(.f64 (fma.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) x)

Samples

233.0ms

256×

valid

Compiler

Compiled 546 to 85 computations (84.4% saved)

Precisions

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

ival-neg: 84.0ms (41.8% of total)

ival-mult: 75.0ms (37.3% of total)

ival-div: 8.0ms (4% of total)

ival-pow: 8.0ms (4% of total)

ival-add: 7.0ms (3.5% of total)

ival-sin: 6.0ms (3% of total)

ival-cos: 6.0ms (3% of total)

const: 4.0ms (2% of total)

ival-sub: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series210.0ms (2.5%)

Memory

-8.6MiB live, 72.7MiB allocated

Counts

23 → 684

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((* (pow x -1) (sin y)) (* (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (neg y) (/ z x)) 1) (+ (* 1/24 (* (* y y) x)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (* (cos y) x) (* (* y y) x) (cos y))
3.0ms	x	@	-inf	((* (pow x -1) (sin y)) (* (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (neg y) (/ z x)) 1) (+ (* 1/24 (* (* y y) x)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (* (cos y) x) (* (* y y) x) (cos y))
3.0ms	x	@	inf	((* (pow x -1) (sin y)) (* (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (neg y) (/ z x)) 1) (+ (* 1/24 (* (* y y) x)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (* (cos y) x) (* (* y y) x) (cos y))
3.0ms	y	@	inf	((* (pow x -1) (sin y)) (* (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (neg y) (/ z x)) 1) (+ (* 1/24 (* (* y y) x)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (* (cos y) x) (* (* y y) x) (cos y))
3.0ms	y	@	-inf	((* (pow x -1) (sin y)) (* (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (neg z) (* (pow x -1) (sin y))) (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (+ (* (neg y) (/ z x)) 1) (+ (* 1/24 (* (* y y) x)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (* (cos y) x) (* (* y y) x) (cos y))

simplify355.0ms (4.2%)

Memory

-15.4MiB live, 224.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	6135
1	1237	5893
2	4092	5829
0	8154	5721

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 670

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 (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* -1 (/ (* y z) x)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* 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)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (* z (sin y)))
(* 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 (+ (* -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 (/ (* y z) x))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(* -1 (* z (sin y)))
(* 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)) 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)))
(* -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 (+ (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 (/ (* y z) x))
(* -1 (* z (- (/ y x) (/ 1 z))))
(* -1 (* z (- (/ y x) (/ 1 z))))
(* -1 (* z (- (/ y x) (/ 1 z))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 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)) 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))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -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)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 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
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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)))
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(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.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)
(* 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)
(* 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 (pow y 2))
(.f64 (.f64 y x) y)
(* x (pow y 2))
(.f64 (.f64 y x) y)
(* x (pow y 2))
(.f64 (.f64 y x) y)
(* x (pow y 2))
(.f64 (.f64 y x) y)

rewrite221.0ms (2.6%)

Memory

12.1MiB live, 254.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	353
0	83	331
1	302	320
2	1694	320
0	8198	315

Stop Event

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

Counts

23 → 437

Calls

Call 1

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

Outputs
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eval325.0ms (3.9%)

Memory: -10.5MiB live, 381.0MiB allocated
Compiler: Compiled 20 673 to 2 244 computations (89.1% saved)

prune88.0ms (1%)

Memory

7.0MiB live, 287.4MiB allocated

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	1 176	12	1 188
Fresh	5	29	34
Picked	4	1	5
Done	0	4	4
Total	1 185	46	1 231

Accuracy

100.0%

Counts

1 231 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))
	49.0%	(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 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (.f64 (/.f64 (*.f64 z z) x) y) y))))
	81.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
	46.1%	(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	36.9%	(/.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))))
	61.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x)))
	61.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))))
	39.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
	61.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (cos.f64 y) #s(literal -1 binary64))))))
✓	61.8%	(/.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))))
	34.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))))
	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* 1/24 (* (* y y) x)) (* -1/2 x)) (.f64 (.f64 (.f64 y x) y) #s(literal 1/24 binary64))) (.f64 y y) x)))))
	37.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	39.6%	(/.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))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	22.6%	(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))))
	32.2%	(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) #s(approx (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x))))
	49.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	49.6%	#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))
	50.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
	51.2%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (neg.f64 y) z x))
	50.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y x))
	35.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y x))
	35.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	88.5%	#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)))))
	89.5%	#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))
	63.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) #s(approx (cos y) #s(literal 1 binary64))) x))
	88.5%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (fma.f64 (sin.f64 y) (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 z)) (cos.f64 y)) x))
	73.9%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (.f64 (-.f64 (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) #s(literal -1 binary64))))
	39.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	43.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (sin y) (/ (neg z) x)) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal -1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
	32.2%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (sin y) (/ (neg z) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
	11.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (neg y) (/ z x)) 1) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
	35.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
	43.9%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 x z))) z)))
	48.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	61.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	35.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
✓	37.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	9.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) y)))
	9.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 z z)))) y)))
	40.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
✓	16.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	35.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	35.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	24.2%	#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x))

Compiler

Compiled 2 096 to 924 computations (55.9% saved)

regimes101.0ms (1.2%)

Memory

-19.5MiB live, 265.9MiB allocated

Counts

84 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (neg.f64 y) z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y 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 #s(literal -1/2 binary64) y) x (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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg 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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(approx (+ (* (neg y) (/ z x)) 1) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z) y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 z z)))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* 1/24 (* (* y y) x)) (* -1/2 x)) (.f64 (.f64 (.f64 y x) y) #s(literal 1/24 binary64))) (.f64 y y) x)))))
(/.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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (sin y) (/ (neg z) x)) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal -1/2 binary64)) y (/.f64 (neg.f64 z) x)) 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) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (neg z)) y) x) (.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 x z))) z)))
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 #s(approx (+ ( (sin y) (/ (neg 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 (fma.f64 (sin.f64 y) (/.f64 (neg.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))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.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))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (cos.f64 y) #s(literal -1 binary64))))))
#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (*.f64 z (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z)) z) (sin.f64 y))))
#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 (- (* x (cos y)) (* z (sin y))) (exp.f64 (log.f64 (*.f64 x (cos.f64 y)))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (fma.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (fma.f64 (sin.f64 y) (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 z)) (cos.f64 y)) x))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) #s(approx (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x))))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))))
(.f64 #s(approx (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (.f64 (/.f64 (*.f64 z z) x) y) y))))
(/.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 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z) (neg.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- ( (neg z) (sin y)) (* (cos y) x)) (*.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (.f64 (-.f64 (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) #s(literal -1 binary64))))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) 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 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 x (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))) x) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))
(/.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))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))) x))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))

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

Calls

4 calls:

24.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
24.0ms	z
24.0ms	y
22.0ms	x

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes58.0ms (0.7%)

Memory

-2.6MiB live, 157.4MiB allocated

Counts

46 → 6

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	z
13.0ms	x
13.0ms	y
13.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
81.8%	5	`x`
83.9%	6	`y`
79.7%	4	`z`
71.6%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes15.0ms (0.2%)

Memory

8.9MiB live, 47.6MiB allocated

Counts

44 → 6

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
83.9%	6	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes37.0ms (0.4%)

Memory

6.3MiB live, 127.0MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

12.0ms	z
12.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
69.2%	3	`z`
70.1%	3	`x`
76.3%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes46.0ms (0.5%)

Memory

15.5MiB live, 133.5MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
11.0ms	z
11.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
51.2%	1	`z`
51.2%	1	`x`
51.2%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
51.2%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory

-14.2MiB live, 26.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

4.0ms	z
2.0ms	y
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x

Results

Accuracy	Segments	Branch
51.2%	1	`x`
51.2%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
51.2%	1	`z`
51.2%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#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 #s(approx (cos y) #s(literal 1 binary64)) x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
41.0%	3	`x`
37.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
41.1%	3	`z`
37.3%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0%)

Memory

-29.7MiB live, 9.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
37.3%	1	`x`
37.3%	1	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch102.0ms (1.2%)

Memory

23.9MiB live, 224.0MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	1.348267202597343e+164	7.87989457153618e+167
26.0ms	1.58858040494529	9495624800.201231
15.0ms	-153.54328491393068	-4.824352465897777e-7
15.0ms	-4.3448258849020727e+39	-3.883390237748687e+38
18.0ms	-1.0720126075607687e+107	-9.906587542981263e+104

Samples

70.0ms

640×

valid

Compiler

Compiled 714 to 763 computations (-6.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-cos: 21.0ms (40.7% of total)

ival-sin: 18.0ms (34.9% of total)

ival-mult: 9.0ms (17.4% of total)

ival-sub: 3.0ms (5.8% of total)

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

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

bsearch9.0ms (0.1%)

Memory

-26.1MiB live, 12.1MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.348267202597343e+164	7.87989457153618e+167
1.0ms	1.58858040494529	9495624800.201231
1.0ms	-153.54328491393068	-4.824352465897777e-7
1.0ms	-4.3448258849020727e+39	-3.883390237748687e+38
1.0ms	-1.0720126075607687e+107	-9.906587542981263e+104

Compiler

Compiled 642 to 709 computations (-10.4% saved)

bsearch3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.58858040494529	9495624800.201231
1.0ms	-153.54328491393068	-4.824352465897777e-7

Compiler

Compiled 411 to 394 computations (4.1% saved)

bsearch43.0ms (0.5%)

Memory

1.1MiB live, 81.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.9103064078988525e+111	4.619889153283091e+117
20.0ms	-2.6621235718481966e+77	-5.389428230718462e+72

Samples

28.0ms

272×

valid

Compiler

Compiled 199 to 286 computations (-43.7% saved)

Precisions

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

ival-cos: 10.0ms (48.1% 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)

simplify90.0ms (1.1%)

Memory

24.3MiB live, 62.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	388
1	125	388
2	160	388
3	209	388
4	253	388
5	381	388
6	2814	388
7	6025	388

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 y #s(literal -3999999999999999753033203301127914161308109457888497913177664850155485967298398854547282110015633021206528 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -4100000000000000039927464282047461195776 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) (if (<=.f64 y #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (/.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))) (*.f64 (neg.f64 z) (sin.f64 y))))))))
(if (<=.f64 y #s(literal -3999999999999999753033203301127914161308109457888497913177664850155485967298398854547282110015633021206528 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -4100000000000000039927464282047461195776 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) (if (<=.f64 y #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))))))
(if (<=.f64 y #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 229999999999999994829662810645326198091677412821358668262369509926242023964811386111134642882957220071474736507387904 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (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 y #s(literal -3999999999999999753033203301127914161308109457888497913177664850155485967298398854547282110015633021206528 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -4100000000000000039927464282047461195776 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) (if (<=.f64 y #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (/.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))) (*.f64 (neg.f64 z) (sin.f64 y))))))))
(if (<=.f64 y #s(literal -3999999999999999753033203301127914161308109457888497913177664850155485967298398854547282110015633021206528 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -4100000000000000039927464282047461195776 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) (if (<=.f64 y #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (pow.f64 #s(approx (pow (+ ( (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (.f64 (cos.f64 y) x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))))))
(if (<=.f64 y #s(literal -3999999999999999753033203301127914161308109457888497913177664850155485967298398854547282110015633021206528 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -4100000000000000039927464282047461195776 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) (if (<=.f64 y #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))))))
(if (<=.f64 y #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (or (<=.f64 y #s(literal -7782220156096217/288230376151711744 binary64)) (not (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 229999999999999994829662810645326198091677412821358668262369509926242023964811386111134642882957220071474736507387904 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))))
(if (or (<=.f64 z #s(literal -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (not (<=.f64 z #s(literal 229999999999999994829662810645326198091677412821358668262369509926242023964811386111134642882957220071474736507387904 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

soundness948.0ms (11.3%)

Memory

3.7MiB live, 664.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	33	19
2	210	19
3	1966	19
0	8307	19
0	37	203
0	62	158
1	243	156
2	1711	156
0	8804	156
0	718	7518
1	2409	7183
0	8424	6965
0	97	624
1	292	619
2	850	613
3	2082	607
4	3665	607
5	6311	607
0	8695	586

Stop Event

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

Compiler

Compiled 340 to 192 computations (43.5% saved)

preprocess59.0ms (0.7%)

Memory: -1.0MiB live, 84.5MiB allocated
Compiler: Compiled 430 to 148 computations (65.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	226	24
8	292	24
9	322	24
10	338	24
0	338	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	226	24
8	292	24
9	322	24
10	338	24
0	338	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (15.8%)

explain129.0ms (1.5%)

preprocess47.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.3%)

localize32.0ms (0.4%)

series37.0ms (0.4%)

simplify178.0ms (2.1%)

rewrite239.0ms (2.8%)

eval77.0ms (0.9%)

prune49.0ms (0.6%)

simplify132.0ms (1.6%)

localize155.0ms (1.8%)

series134.0ms (1.6%)

simplify234.0ms (2.8%)

rewrite329.0ms (3.9%)

eval603.0ms (7.2%)

prune176.0ms (2.1%)

simplify179.0ms (2.1%)

localize213.0ms (2.5%)

series93.0ms (1.1%)

simplify263.0ms (3.1%)

rewrite208.0ms (2.5%)

eval311.0ms (3.7%)

prune139.0ms (1.7%)

simplify107.0ms (1.3%)

localize274.0ms (3.2%)

series210.0ms (2.5%)

simplify355.0ms (4.2%)

rewrite221.0ms (2.6%)

eval325.0ms (3.9%)

prune88.0ms (1%)

regimes101.0ms (1.2%)

regimes58.0ms (0.7%)

regimes15.0ms (0.2%)

regimes37.0ms (0.4%)

regimes46.0ms (0.5%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch102.0ms (1.2%)

bsearch9.0ms (0.1%)

bsearch3.0ms (0%)

bsearch43.0ms (0.5%)

simplify90.0ms (1.1%)

soundness948.0ms (11.3%)

preprocess59.0ms (0.7%)

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	226	24
8	292	24
9	322	24
10	338	24
0	338	24