Metrics for Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (14%)

Memory

50.2MiB live, 2 020.4MiB allocated

Samples

979.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 727.0ms

ival-cos: 276.0ms (37.9% of total)

ival-sin: 248.0ms (34.1% of total)

ival-mult: 142.0ms (19.5% of total)

ival-add: 52.0ms (7.1% of total)

ival-true: 7.0ms (1% of total)

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

Bogosity

explain256.0ms (2.9%)

Memory

-169.2MiB live, 261.7MiB 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

194.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-cos: 146.0ms (82.4% of total)

ival-sin: 21.0ms (11.9% of total)

ival-mult: 7.0ms (4% of total)

ival-add: 2.0ms (1.1% of total)

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

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

preprocess47.0ms (0.5%)

Memory

-4.3MiB live, 74.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	81
2	139	81
3	307	81
4	458	81
5	688	81
6	861	81
7	947	81
8	1025	81
9	1091	81
10	1105	81
11	1110	81
12	1112	81
0	8	9
0	13	9
1	16	9
0	16	8

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	128	(+.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	16	24
0	16	23

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 (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)

localize36.0ms (0.4%)

Memory

13.8MiB live, 56.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	0.11328125	(*.f64 x (cos.f64 y))

Samples

28.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-cos: 7.0ms (39.7% of total)

ival-sin: 6.0ms (34.1% of total)

ival-mult: 4.0ms (22.7% of total)

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

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

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

series495.0ms (5.6%)

Memory

-22.7MiB live, 16.5MiB allocated

Counts

5 → 108

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>) () ())
#s(alt (sin.f64 y) (patch (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 (+ (* x (cos y)) (* z (sin 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 (+ (* x (cos y)) (* z (sin 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 (+ (* x (cos y)) (* z (sin 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 (* 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) (/ (* x (cos y)) z))) (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) (/ (* x (cos y)) z))) (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) (/ (* x (cos y)) z))) (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 (* 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 (sin y)) (* -1 (/ (* x (cos y)) z))))) (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 (sin y)) (* -1 (/ (* x (cos y)) z))))) (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 (sin y)) (* -1 (/ (* x (cos y)) z))))) (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 (* 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 (+ z (* -1/2 (* x y))))) (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 (+ z (* y (+ (* -1/2 x) (* -1/6 (* 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 (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 y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (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 (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (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 (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 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) (/ (* 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) (/ (* 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) (/ (* 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)) (* -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 (* -1 (* x (+ (* -1 (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 (* -1 (* x (+ (* -1 (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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
485.0ms	z	@	0	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	z	@	inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	y	@	inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	x	@	-inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	z	@	-inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))

simplify154.0ms (1.7%)

Memory

29.0MiB live, 181.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	682
1	343	678
2	985	666
3	2635	660
4	4674	660
5	6996	660
0	8178	604

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

rewrite251.0ms (2.8%)

Memory

-22.7MiB live, 304.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8386	20

Stop Event

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

Counts

5 → 177

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))
(sin.f64 y)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval34.0ms (0.4%)

Memory: -3.1MiB live, 70.9MiB allocated
Compiler: Compiled 8 418 to 572 computations (93.2% saved)

prune20.0ms (0.2%)

Memory

2.5MiB live, 47.7MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	268	14	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	269	14	283

Accuracy

99.9%

Counts

283 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
▶	79.4%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
	52.5%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	38.8%	(/.f64 (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
▶	53.4%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	16.0%	(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (neg.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))
	53.2%	(.f64 (neg.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) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
	50.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	50.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	51.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	39.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
▶	62.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 694 to 356 computations (48.7% saved)

simplify155.0ms (1.7%)

Memory

23.2MiB live, 135.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	0	(/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))
cost-diff	128	(neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))
cost-diff	41920	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
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	27392	(/.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 (.f64 (sin.f64 y) z) (.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	(fma.f64 z y x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	262
0	52	218
1	91	218
2	174	217
3	516	217
4	1595	217
5	4311	217
6	6093	217
7	7868	217
0	8161	217

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (2.1%)

Memory

-18.2MiB live, 218.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))
accuracy	0.2109375	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	0.2741012695368841	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	15.435604654964816	(/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))
accuracy	0.12109375	(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
accuracy	0.2109375	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	3.4999793583020584	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy	29.614289012768833	(/.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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
accuracy	0	(cos.f64 y)
accuracy	0.11328125	(*.f64 (cos.f64 y) x)
accuracy	24.00381794390868	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	0	(fma.f64 z y x)
accuracy	30.895994325290182	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.0625	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy	0.109375	(*.f64 (sin.f64 y) z)

Samples

135.0ms

256×

valid

Compiler

Compiled 507 to 56 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 37.0ms (34.5% of total)

ival-sub: 23.0ms (21.4% of total)

ival-add: 19.0ms (17.7% of total)

ival-cos: 7.0ms (6.5% of total)

ival-pow2: 7.0ms (6.5% of total)

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

ival-div: 5.0ms (4.7% of total)

ival-neg: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.9%)

Memory

-8.4MiB live, 119.0MiB allocated

Counts

18 → 516

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))
8.0ms	z	@	-inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))
7.0ms	y	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))
6.0ms	z	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))
5.0ms	y	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ (* (pow (cos y) 2) x) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (* (cos y) x) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (cos y) 2))

simplify377.0ms (4.3%)

Memory

28.6MiB live, 284.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	712	7314
1	2468	6988
0	8333	6674

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 504

Calls

Call 1

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

rewrite392.0ms (4.4%)

Memory

-20.7MiB live, 404.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	194
0	52	150
1	212	150
2	1524	150
0	8293	150

Stop Event

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

Counts

18 → 1 360

Calls

Call 1

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

Outputs
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eval397.0ms (4.5%)

Memory: 34.5MiB live, 518.6MiB allocated
Compiler: Compiled 103 048 to 3 414 computations (96.7% saved)

prune86.0ms (1%)

Memory

-18.4MiB live, 194.4MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	2 321	20	2 341
Fresh	7	2	9
Picked	2	3	5
Done	0	0	0
Total	2 330	25	2 355

Accuracy

100.0%

Counts

2 355 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	45.6%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (.f64 (.f64 (*.f64 y y) z) z) x))))
	79.1%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
	20.7%	(/.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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	32.8%	(/.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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	53.2%	(.f64 (neg.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) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
	85.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
	91.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
▶	39.7%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
	50.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
✓	51.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	30.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
	51.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	49.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	62.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
▶	37.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	37.9%	#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))
	39.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	44.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	47.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
▶	16.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	37.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	37.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 660 to 518 computations (21.5% saved)

simplify157.0ms (1.8%)

Memory

-3.4MiB live, 186.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 z (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
cost-diff	7104	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	228
0	66	216
1	100	216
2	164	216
3	403	201
4	894	201
5	2816	201
6	5846	201
0	8123	199

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.5%)

Memory

23.2MiB live, 245.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
accuracy	0.046875	(*.f64 z (sin.f64 y))
accuracy	0.19369125976844204	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
accuracy	2.151540895320251	(sqrt.f64 (*.f64 z (sin.f64 y)))
accuracy	0	(sin.f64 y)
accuracy	0.046875	(*.f64 (sin.f64 y) z)
accuracy	17.366817908035888	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
accuracy	0.05859375	(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy	0.0703125	(.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)
accuracy	10.604201965299593	#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))
accuracy	15.42455312820474	#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)))
accuracy	0	(*.f64 z y)
accuracy	13.617799972405013	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	15.010897453486256	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	0.02734375	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.0703125	(*.f64 (cos.f64 y) x)
accuracy	0.1015625	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Samples

47.0ms	141×	0	invalid
46.0ms	115×	0	valid

Compiler

Compiled 348 to 64 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

const: 14.0ms (19.6% of total)

ival-mult: 13.0ms (18.2% of total)

ival-sin: 10.0ms (14% of total)

ival-pow2: 9.0ms (12.6% of total)

ival-add: 7.0ms (9.8% of total)

ival-cos: 6.0ms (8.4% of total)

ival-div: 4.0ms (5.6% of total)

ival-pow: 4.0ms (5.6% of total)

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

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

exact: 1.0ms (1.4% of total)

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

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

series66.0ms (0.7%)

Memory

-0.4MiB live, 85.2MiB allocated

Counts

20 → 516

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) 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 #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) z) (patch (.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 z (sin.f64 y))) (patch (sqrt.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) #<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 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.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 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	z	@	-inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (* (sin y) z) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (* (cos y) x) (+ (* 1/24 (* y y)) -1/2) (* z (sin y)))
4.0ms	y	@	0	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (* (sin y) z) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (* (cos y) x) (+ (* 1/24 (* y y)) -1/2) (* z (sin y)))
3.0ms	y	@	inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (* (sin y) z) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (* (cos y) x) (+ (* 1/24 (* y y)) -1/2) (* z (sin y)))
3.0ms	y	@	-inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (* (sin y) z) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (* (cos y) x) (+ (* 1/24 (* y y)) -1/2) (* z (sin y)))
2.0ms	z	@	0	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (* (sin y) z) (pow (sqrt (* z (sin y))) 2) (+ (* (cos y) x) (pow (sqrt (* z (sin y))) 2)) (cos y) (sqrt (* z (sin y))) (* (cos y) x) (+ (* 1/24 (* y y)) -1/2) (* z (sin y)))

simplify177.0ms (2%)

Memory

33.4MiB live, 336.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	4527
1	1226	4467
2	4166	4444
0	8417	4157

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 503

Calls

Call 1

Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (cos 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)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* 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))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -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))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(sqrt (* y z))
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z))))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y))))))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (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)))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* 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)) (* z (sin y)))
(sin y)
(sin y)
(sin y)
(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)))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* y z)
(* y z)
(* y 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)
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(cos y)
(cos y)
(cos y)
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(sqrt (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* 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)))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* 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)) (* z (sin y)))
(sin y)
(sin y)
(sin y)
(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)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(* y z)
(* y z)
(* y 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)
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
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(* z (sin y))
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(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(cos y)
(cos y)
(cos y)
(sqrt (* z (sin y)))
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(* z (sin y))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
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(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
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(+ (* x (cos y)) (* z (sin y)))
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(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(* x (cos y))
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(* x (+ (cos y) (/ (* z (sin y)) x)))
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(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(/ 1 (* x (cos y)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
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(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
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(* x (cos y))
(* x (cos y))
(* x (cos y))

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

rewrite222.0ms (2.5%)

Memory

17.7MiB live, 245.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	201
0	66	174
1	248	174
2	1496	174
0	8155	172

Stop Event

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

Counts

20 → 959

Calls

Call 1

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

Outputs
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eval277.0ms (3.1%)

Memory: -26.5MiB live, 394.8MiB allocated
Compiler: Compiled 46 551 to 2 659 computations (94.3% saved)

prune128.0ms (1.4%)

Memory

-0.4MiB live, 163.5MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 502	13	1 515
Fresh	4	13	17
Picked	3	2	5
Done	0	3	3
Total	1 509	31	1 540

Accuracy

100.0%

Counts

1 540 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	45.6%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (.f64 (.f64 (*.f64 y y) z) z) x))))
	79.1%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
	47.3%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	20.7%	(/.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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	32.8%	(/.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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	38.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
	62.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
▶	39.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
	62.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	39.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	18.0%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
▶	89.4%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
	91.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	85.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
▶	91.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
✓	39.7%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
	16.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
	16.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
▶	50.7%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))
✓	51.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	30.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
	49.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	62.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	37.9%	#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))
▶	39.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
	44.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	47.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
✓	16.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	37.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	37.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 764 to 618 computations (19.1% saved)

simplify203.0ms (2.3%)

Memory

9.7MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	335
0	78	335
1	125	331
2	228	331
3	554	303
4	1164	299
5	2906	299
6	5867	299
0	8106	281

Stop Event

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

Calls

Call 1

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

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

localize272.0ms (3.1%)

Memory

-51.7MiB live, 189.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.078125	(/.f64 (sin.f64 y) x)
accuracy	0.09375	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
accuracy	6.734764888445734	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
accuracy	0.109375	(*.f64 (sin.f64 y) z)
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
accuracy	0.22265625	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
accuracy	38.62324840140015	#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.02734375	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy	0.07421875	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	31.520907318056615	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))
accuracy	0.11328125	(.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)
accuracy	24.00381794390868	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
accuracy	31.589785602762717	#s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))
accuracy	31.68734071880618	#s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64)))
accuracy	0	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.09375	(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
accuracy	5.55775002218421	(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)

Samples

181.0ms

256×

valid

Compiler

Compiled 428 to 77 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-add: 83.0ms (51.7% of total)

ival-mult: 35.0ms (21.8% of total)

ival-div: 8.0ms (5% of total)

ival-sin: 8.0ms (5% of total)

const: 8.0ms (5% of total)

ival-cos: 6.0ms (3.7% of total)

ival-pow2: 5.0ms (3.1% of total)

ival-pow: 4.0ms (2.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series108.0ms (1.2%)

Memory

30.8MiB live, 143.5MiB allocated

Counts

21 → 612

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) (patch (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (patch (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x) (patch (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) (patch #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x)) (patch #s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 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 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 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 z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y 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 (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) z) (patch (.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) (patch (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) (patch (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) (patch (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) (patch (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos y)) z) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (patch (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (cos y)) (* z (sin y))) z) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (patch (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (cos y)) (* z (sin y))) z) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (patch (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (cos y)) (* z (sin y))) z) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (patch (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #<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(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x)) (patch #s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	((* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y))
15.0ms	y	@	0	((* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y))
5.0ms	z	@	0	((* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y))
5.0ms	y	@	-inf	((* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y))
5.0ms	y	@	inf	((* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y))

simplify323.0ms (3.6%)

Memory

-7.5MiB live, 149.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	6573
1	1729	6431
2	5874	6404
0	8360	5928

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 601

Calls

Call 1

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

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

rewrite257.0ms (2.9%)

Memory

11.4MiB live, 169.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	304
0	78	274
1	323	272
2	2213	272
0	8621	258

Stop Event

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

Counts

21 → 328

Calls

Call 1

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

Outputs
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eval240.0ms (2.7%)

Memory: -22.5MiB live, 185.4MiB allocated
Compiler: Compiled 16 054 to 1 985 computations (87.6% saved)

prune88.0ms (1%)

Memory

8.7MiB live, 169.7MiB allocated

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	956	16	972
Fresh	5	16	21
Picked	2	3	5
Done	0	5	5
Total	963	40	1 003

Accuracy

100.0%

Counts

1 003 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	45.6%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (.f64 (.f64 (*.f64 y y) z) z) x))))
	20.7%	(/.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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	32.8%	(/.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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	38.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
	35.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	62.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	39.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y))))
✓	39.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
	62.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	39.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	15.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
	15.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
	18.0%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	63.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))))
	66.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
	91.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	85.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
✓	91.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	69.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) #s(literal -1 binary64))) z))
✓	39.7%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
	44.6%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
	29.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
	53.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
	35.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
	91.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x)) z))
	16.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
	16.1%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
	51.0%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))
	38.0%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	37.9%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
	16.1%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (*.f64 z y))))
✓	51.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	30.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
	49.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	62.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
✓	39.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
✓	16.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	37.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	37.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 527 to 715 computations (53.2% saved)

regimes108.0ms (1.2%)

Memory

10.9MiB live, 197.9MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.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(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.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 (+ (* (sin y) z) (* (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 z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.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 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.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 (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(fma.f64 (cos.f64 y) x (*.f64 (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))
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x)) z))
(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.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 (.f64 (sin.f64 y) z) (.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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (.f64 (.f64 (*.f64 y y) z) z) 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 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
(.f64 (neg.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) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) #s(literal -1 binary64))) z))
(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.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 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (neg.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))

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

Calls

4 calls:

41.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
24.0ms	y
20.0ms	z
19.0ms	x

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes59.0ms (0.7%)

Memory

-15.6MiB live, 109.2MiB allocated

Counts

36 → 5

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.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(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.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 (+ (* (sin y) z) (* (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 z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.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 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.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 (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (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 (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Calls

4 calls:

22.0ms	x
12.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	z
10.0ms	y

Results

Accuracy	Segments	Branch
85.0%	5	`x`
78.6%	4	`y`
81.5%	4	`z`
72.3%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes34.0ms (0.4%)

Memory

27.9MiB live, 62.4MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.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(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.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 (+ (* (sin y) z) (* (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 z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.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 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.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 (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))

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

Calls

2 calls:

22.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
78.2%	3	`z`
76.4%	3	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes33.0ms (0.4%)

Memory

-15.0MiB live, 107.7MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.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(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.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 (+ (* (sin y) z) (* (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 z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.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 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.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 (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))
#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 (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))

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

Calls

3 calls:

12.0ms	x
10.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
70.9%	3	`x`
75.5%	3	`y`
69.4%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes37.0ms (0.4%)

Memory

6.6MiB live, 84.2MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.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(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (cos y) (/ x z)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (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 z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.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 (+ (* (sin y) z) (* (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 z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.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 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.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 (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.7%	1	`z`
51.7%	1	`x`
51.7%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
51.7%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes39.0ms (0.4%)

Memory

-20.7MiB live, 17.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

Outputs

#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 (+ (* z y) x) (*.f64 z y)))

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

Calls

4 calls:

32.0ms	y
2.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
44.4%	3	`x`
39.8%	1	`y`
41.8%	2	`z`
39.8%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
16.2%	1	`y`
16.2%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
16.2%	1	`z`
16.2%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch94.0ms (1.1%)

Memory

-21.3MiB live, 180.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	2.151287208308834e+66	1.570497541919857e+67
21.0ms	7.340251920624047e-248	2.856969626023426e-241
10.0ms	-1.0718293019150274e-161	-3.345599307004204e-162
44.0ms	-5.8271365375313176e+110	-1.4093304320143853e+104

Samples

69.0ms

464×

valid

Compiler

Compiled 476 to 536 computations (-12.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 28.0ms (48.8% of total)

ival-cos: 16.0ms (27.9% of total)

ival-sin: 11.0ms (19.2% of total)

ival-add: 2.0ms (3.5% of total)

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

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

bsearch38.0ms (0.4%)

Memory

17.0MiB live, 55.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.8521076666712945e+28	8.143392418001232e+39
13.0ms	-3.3860187493814536e+83	-5.321502925590169e+82

Samples

24.0ms

256×

valid

Compiler

Compiled 172 to 238 computations (-38.4% saved)

Precisions

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

ival-cos: 6.0ms (35% of total)

ival-sin: 6.0ms (35% of total)

ival-mult: 4.0ms (23.3% of total)

ival-add: 1.0ms (5.8% of total)

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

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

bsearch55.0ms (0.6%)

Memory

18.8MiB live, 96.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	11.867861188495237	3.7801591361772784e+21
23.0ms	-2.283537648367221e+19	-0.3490896894611242

Samples

38.0ms

352×

valid

Compiler

Compiled 408 to 410 computations (-0.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 12.0ms (41% of total)

ival-sin: 11.0ms (37.6% of total)

ival-mult: 5.0ms (17.1% of total)

ival-add: 2.0ms (6.8% of total)

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

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

bsearch45.0ms (0.5%)

Memory

-15.8MiB live, 76.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.2257684394442493e-100	2.32620887772921e-96
24.0ms	-6.439596537316368e-195	-7.751106646515291e-202

Samples

30.0ms

272×

valid

Compiler

Compiled 182 to 269 computations (-47.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-cos: 7.0ms (37.4% of total)

ival-sin: 7.0ms (37.4% of total)

ival-mult: 4.0ms (21.4% of total)

ival-add: 1.0ms (5.3% of total)

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

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

simplify26.0ms (0.3%)

Memory

-14.0MiB live, 63.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	351
1	91	351

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -300000000000000023236727762441558330601244821733889645043426933913354585588259125855862803399574953350135808 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal -8104522595470689/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 x #s(literal 825826851168517/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 x #s(literal 7600000000000000407567459543445106487708611717972080897681604476928 binary64)) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))))
(if (<=.f64 z #s(literal -65999999999999996910849906485085394926103768111314780597361790803104458882592800768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 2999999999999999970243226566638182596608 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -1733885856537641/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 12 binary64)) #s(approx (/ 1 (pow (+ ( (sin y) z) (* (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 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 z y x))
(if (<=.f64 x #s(literal -4544757418937795/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.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 (+ (* z y) x) (*.f64 z y)))

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -300000000000000023236727762441558330601244821733889645043426933913354585588259125855862803399574953350135808 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal -8104522595470689/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 x #s(literal 825826851168517/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 x #s(literal 7600000000000000407567459543445106487708611717972080897681604476928 binary64)) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))))
(if (<=.f64 x #s(literal -300000000000000023236727762441558330601244821733889645043426933913354585588259125855862803399574953350135808 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal -8104522595470689/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 x #s(literal 825826851168517/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 7600000000000000407567459543445106487708611717972080897681604476928 binary64)) #s(approx (/ (- (pow ( (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))))
(if (<=.f64 z #s(literal -65999999999999996910849906485085394926103768111314780597361790803104458882592800768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 2999999999999999970243226566638182596608 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -65999999999999996910849906485085394926103768111314780597361790803104458882592800768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2999999999999999970243226566638182596608 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -1733885856537641/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 12 binary64)) #s(approx (/ 1 (pow (+ ( (sin y) z) (* (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 z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1733885856537641/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 12 binary64)) #s(approx (/ 1 (pow (+ ( (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 x #s(literal -4544757418937795/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.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 (+ (* z y) x) (*.f64 z y)))

soundness1.4s (15.5%)

Memory

16.7MiB live, 930.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	6573
1	1729	6431
2	5874	6404
0	8360	5928
0	381	4527
1	1226	4467
2	4166	4444
0	8417	4157
0	712	7314
1	2468	6988
0	8333	6674
0	109	682
1	343	678
2	985	666
3	2635	660
4	4674	660
5	6996	660
0	8178	604
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8386	20

Stop Event

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

Compiler

Compiled 351 to 191 computations (45.6% saved)

preprocess64.0ms (0.7%)

Memory: -5.7MiB live, 147.1MiB allocated
Compiler: Compiled 314 to 134 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (14%)

explain256.0ms (2.9%)

preprocess47.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize36.0ms (0.4%)

series495.0ms (5.6%)

simplify154.0ms (1.7%)

rewrite251.0ms (2.8%)

eval34.0ms (0.4%)

prune20.0ms (0.2%)

simplify155.0ms (1.7%)

localize189.0ms (2.1%)

series79.0ms (0.9%)

simplify377.0ms (4.3%)

rewrite392.0ms (4.4%)

eval397.0ms (4.5%)

prune86.0ms (1%)

simplify157.0ms (1.8%)

localize133.0ms (1.5%)

series66.0ms (0.7%)

simplify177.0ms (2%)

rewrite222.0ms (2.5%)

eval277.0ms (3.1%)

prune128.0ms (1.4%)

simplify203.0ms (2.3%)

localize272.0ms (3.1%)

series108.0ms (1.2%)

simplify323.0ms (3.6%)

rewrite257.0ms (2.9%)

eval240.0ms (2.7%)

prune88.0ms (1%)

regimes108.0ms (1.2%)

regimes59.0ms (0.7%)

regimes34.0ms (0.4%)

regimes33.0ms (0.4%)

regimes37.0ms (0.4%)

regimes39.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch94.0ms (1.1%)

bsearch38.0ms (0.4%)

bsearch55.0ms (0.6%)

bsearch45.0ms (0.5%)

simplify26.0ms (0.3%)

soundness1.4s (15.5%)

preprocess64.0ms (0.7%)

end0.0ms (0%)

Profiling