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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (14.9%)

Memory

-1.9MiB live, 1 451.6MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 785.0ms

ival-sin: 398.0ms (50.7% of total)

ival-mult: 171.0ms (21.8% of total)

ival-cos: 167.0ms (21.3% of total)

ival-add: 41.0ms (5.2% of total)

ival-true: 5.0ms (0.6% of total)

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

Bogosity

explain118.0ms (1.2%)

Memory

-5.6MiB live, 211.5MiB allocated

FPErrors

Click to see full error table

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

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

47.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-cos: 10.0ms (33.5% of total)

ival-sin: 10.0ms (33.5% of total)

ival-mult: 7.0ms (23.5% of total)

ival-add: 2.0ms (6.7% of total)

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

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

preprocess45.0ms (0.5%)

Memory

2.7MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`associate-r`
160×	`unsub-neg`
142×	`associate-l`
136×	`distribute-lft-neg-in`
110×	`sub-neg`

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	693	81
6	871	81
7	957	81
8	1038	81
9	1104	81
10	1118	81
11	1123	81
12	1125	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 (sin.f64 y)) (.f64 z (cos.f64 y)))

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`
4×	`*-commutative`
4×	`lower-*.f64`

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

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

localize32.0ms (0.3%)

Memory

-11.9MiB live, 63.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.09375	(*.f64 x (sin.f64 y))
accuracy	0.1015625	(*.f64 z (cos.f64 y))

Samples

23.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 6.0ms (39.4% of total)

ival-cos: 4.0ms (26.3% of total)

ival-mult: 3.0ms (19.7% of total)

ival-add: 1.0ms (6.6% of total)

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

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

series12.0ms (0.1%)

Memory

-12.1MiB live, 25.6MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (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 z (taylor 0 y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (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 (cos y)) (taylor inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (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 (cos y)) (taylor -inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify214.0ms (2.2%)

Memory

35.4MiB live, 259.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 960×	`lower-fma.f64`
14 960×	`lower-fma.f32`
4 098×	`lower-*.f64`
4 098×	`lower-*.f32`
2 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	626
1	316	622
2	931	612
3	2499	606
4	4406	606
5	7320	606
0	8403	556

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
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))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))

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

rewrite195.0ms (2%)

Memory

-10.6MiB live, 235.0MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 070×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8391	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64)))))
(.f64 (/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
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(-.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 (cos.f64 y) z))) (neg.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64)) (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
(-.f64 (.f64 (sin.f64 y) x) (.f64 (neg.f64 z) (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
(+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(sin.f64 y)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))

eval33.0ms (0.3%)

Memory: -15.1MiB live, 68.6MiB allocated
Compiler: Compiled 10 057 to 550 computations (94.5% saved)

prune46.0ms (0.5%)

Memory

21.5MiB live, 99.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	255	14	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	14	270

Accuracy

99.9%

Counts

270 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(fma.f64 (.f64 (.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
▶	42.6%	(fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
▶	99.9%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	53.6%	(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) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
▶	42.6%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
	42.3%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 (cos.f64 y) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
	44.8%	(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))) (/.f64 (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)))))
	26.4%	(.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal 2 binary64))))
	56.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	56.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	57.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	41.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
▶	60.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 858 to 398 computations (53.6% saved)

simplify161.0ms (1.6%)

Memory

14.5MiB live, 133.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	20800	(fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
cost-diff	0	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	6592	(fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

Rules

12 984×	`lower-fma.f32`
12 974×	`lower-fma.f64`
3 982×	`lower-*.f32`
3 968×	`lower-*.f64`
1 566×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	375
0	63	363
1	123	362
2	284	362
3	847	362
4	2280	356
5	5377	356
0	8072	342

Stop Event

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

Calls

Call 1

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

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

localize302.0ms (3.1%)

Memory

1.6MiB live, 316.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	2.8626649153432338	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
accuracy	16.434572689554212	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	17.411066661656236	(fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
accuracy	20.639635564182157	(/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
accuracy	1.1757750574906174	(fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))
accuracy	9.349001455376317	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))
accuracy	16.434572689554212	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	27.052146668045047	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
accuracy	0	(cos.f64 y)
accuracy	0.1015625	(*.f64 (cos.f64 y) z)
accuracy	25.528020694613975	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
accuracy	0	(fma.f64 y x z)
accuracy	27.509332199336068	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.04296875	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy	0.1015625	(*.f64 (cos.f64 y) z)

Samples

106.0ms	94×	1	valid
77.0ms	118×	0	valid
55.0ms	43×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 381 to 37 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-div: 58.0ms (31.7% of total)

ival-cos: 40.0ms (21.8% of total)

ival-mult: 35.0ms (19.1% of total)

ival-sin: 18.0ms (9.8% of total)

adjust: 12.0ms (6.5% of total)

ival-add: 12.0ms (6.5% of total)

ival-neg: 4.0ms (2.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series95.0ms (1%)

Memory

11.1MiB live, 167.0MiB allocated

Counts

16 → 456

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ 1/2 (* 1/2 (cos (+ y y)))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x))))
11.0ms	y	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ 1/2 (* 1/2 (cos (+ y y)))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x))))
9.0ms	x	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ 1/2 (* 1/2 (cos (+ y y)))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x))))
9.0ms	z	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ 1/2 (* 1/2 (cos (+ y y)))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x))))
7.0ms	z	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ 1/2 (* 1/2 (cos (+ y y)))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x))))

simplify518.0ms (5.2%)

Memory

-152.6MiB live, 315.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 646×	`lower-fma.f64`
6 646×	`lower-fma.f32`
6 404×	`lower-*.f64`
6 404×	`lower-*.f32`
4 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1126	11235
1	4125	10979
0	8715	10433

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 444

Calls

Call 1

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

rewrite593.0ms (6%)

Memory

50.7MiB live, 846.7MiB allocated

Rules

4 616×	`lower-*.f32`
4 602×	`lower-*.f64`
4 250×	`lower-/.f32`
4 244×	`lower-/.f64`
3 936×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	235
0	63	169
1	247	133
2	1928	133
0	8243	133

Stop Event

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

Counts

16 → 1 691

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (neg.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y))))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))))))
(.f64 (.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) z) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) z) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) (/.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (*.f64 x x)) #s(literal 2 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x) x (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(pow.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))) #s(literal -1 binary64))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) (fma.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (neg.f64 (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (fma.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (fma.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (neg.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y))) (neg.f64 (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (neg.f64 z) (cos.f64 y))))) (neg.f64 (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (neg.f64 (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (neg.f64 (.f64 (cos.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))))

eval417.0ms (4.2%)

Memory: -24.9MiB live, 729.8MiB allocated
Compiler: Compiled 153 339 to 4 003 computations (97.4% saved)

prune330.0ms (3.3%)

Memory

-0.3MiB live, 451.2MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	2 314	27	2 341
Fresh	8	1	9
Picked	2	3	5
Done	0	0	0
Total	2 324	31	2 355

Accuracy

100.0%

Counts

2 355 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.9%	(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) z) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))
✓	99.9%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	23.1%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
	42.3%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 x x)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
	46.0%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
	14.5%	(/.f64 #s(approx (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
	26.8%	#s(approx (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 x x) (neg.f64 z)))) y x) y z))
	45.9%	#s(approx (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) x (/.f64 (.f64 (.f64 (cos.f64 y) z) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
	23.8%	#s(approx (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) x))
	35.8%	#s(approx (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z))
	59.7%	#s(approx (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (.f64 z (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	56.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
▶	91.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
▶	91.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
	41.1%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	56.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
✓	57.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	12.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y))))))
	33.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
	36.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (fma.f64 x y (neg.f64 z))))
	12.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y)))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))))
▶	36.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
✓	60.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	38.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
▶	37.9%	#s(approx (+ (* x (sin y)) (* z (cos 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))) z))
	38.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
	39.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	52.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
	52.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
▶	20.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	37.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) z) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))

Compiler

Compiled 1 307 to 692 computations (47.1% saved)

simplify184.0ms (1.9%)

Memory

5.9MiB live, 151.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (cos.f64 y) x)
cost-diff	0	(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
cost-diff	0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
cost-diff	0	(fma.f64 x y z)
cost-diff	0	(*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
cost-diff	2368	(.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 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))) z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos 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))) z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* y x) z) (*.f64 y x))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
cost-diff	0	(/.f64 (sin.f64 y) z)
cost-diff	0	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
cost-diff	0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)

Rules

14 540×	`lower-fma.f32`
14 528×	`lower-fma.f64`
4 102×	`lower-*.f32`
4 088×	`lower-*.f64`
1 674×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	290
0	69	302
1	112	266
2	217	260
3	617	260
4	2560	256
0	8119	247

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (1.4%)

Memory

-2.1MiB live, 231.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.140625	(/.f64 (cos.f64 y) x)
accuracy	0.1484375	(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
accuracy	5.66281919681489	(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
accuracy	0.08822250976844201	(*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))
accuracy	0.42570968186851504	(/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))
accuracy	27.509332199336068	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
accuracy	29.081938453366902	(.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
accuracy	0.1015625	(.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))) z)
accuracy	0.109375	(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy	25.528020694613975	#s(approx (+ (* x (sin y)) (* z (cos 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))) z))
accuracy	28.378688042506393	#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 y x)
accuracy	27.509332199336068	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
accuracy	31.33358873069477	#s(approx (+ (* y x) z) (*.f64 y x))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.08203125	(/.f64 (sin.f64 y) z)
accuracy	0.09375	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
accuracy	5.588327759943982	(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)

Samples

89.0ms

256×

valid

Compiler

Compiled 211 to 38 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 34.0ms (50.4% of total)

ival-add: 9.0ms (13.3% of total)

ival-cos: 7.0ms (10.4% of total)

ival-sin: 6.0ms (8.9% of total)

ival-div: 5.0ms (7.4% of total)

const: 4.0ms (5.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.7%)

Memory

31.6MiB live, 73.4MiB allocated

Counts

22 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-inf	((* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (+ (* x y) z) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* x y) (neg z))))
4.0ms	y	@	-inf	((* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (+ (* x y) z) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* x y) (neg z))))
4.0ms	y	@	inf	((* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (+ (* x y) z) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* x y) (neg z))))
3.0ms	z	@	-inf	((* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (+ (* x y) z) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* x y) (neg z))))
3.0ms	z	@	0	((* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (+ (* x y) z) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* x y) (neg z))))

simplify264.0ms (2.7%)

Memory

12.5MiB live, 283.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 558×	`lower-fma.f64`
11 558×	`lower-fma.f32`
5 474×	`lower-*.f64`
5 474×	`lower-*.f32`
3 374×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	459	5551
1	1477	5376
2	4589	5302
0	8499	4918

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 627

Calls

Call 1

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

rewrite200.0ms (2%)

Memory

6.7MiB live, 387.8MiB allocated

Rules

5 522×	`lower-fma.f32`
5 510×	`lower-fma.f64`
4 170×	`lower-/.f32`
4 164×	`lower-/.f64`
4 026×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	257
0	69	263
1	250	226
2	1598	226
0	8387	221

Stop Event

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

Counts

22 → 730

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))))
(.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 z z)))))
(.f64 (.f64 z (-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))))
(.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 z z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (-.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (-.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))) (-.f64 (.f64 (cos.f64 y) z) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) (neg.f64 (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/24 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 z (-.f64 z (.f64 y x))))) (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y x z) (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z)))) #s(literal 1 binary64)) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (*.f64 y x) z))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y x z) (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z)))) #s(literal 1 binary64)) (fma.f64 y x (neg.f64 z))) (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (fma.f64 y x z)))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y x z) (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z)))) #s(literal 1 binary64)) (fma.f64 y x z)) (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (fma.f64 y x (neg.f64 z))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y x z) (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 z (-.f64 z (*.f64 y x))))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))) (fma.f64 y x (neg.f64 z))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 z (-.f64 z (.f64 y x))))) (fma.f64 y x z)))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))) (fma.f64 y x z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 z (-.f64 z (.f64 y x))))) (fma.f64 y x (neg.f64 z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) (fma.f64 y x z)) (fma.f64 y x z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) (fma.f64 y x (neg.f64 z))) (fma.f64 y x (neg.f64 z)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (/.f64 (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
(*.f64 (/.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (fma.f64 y x z)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (fma.f64 y x (neg.f64 z))) (/.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z)))
(.f64 (/.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (fma.f64 y x (neg.f64 z)))
(*.f64 (/.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z)) (/.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (fma.f64 y x (neg.f64 z))))
(.f64 (/.f64 (fma.f64 y x z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(.f64 (/.f64 (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(*.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (/.f64 (fma.f64 y x z) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (fma.f64 y x z))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z)))) (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))))
(*.f64 (pow.f64 (fma.f64 y x (neg.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y x (neg.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (/.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))
(.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x (neg.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) #s(literal 1 binary64))
(*.f64 (fma.f64 y x (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) (fma.f64 y x (neg.f64 z))))
(.f64 (fma.f64 y x (neg.f64 z)) (/.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(*.f64 (fma.f64 y x z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) (fma.f64 y x z)))
(.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (fma.f64 y x z)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(pow.f64 (exp.f64 (log.f64 (fma.f64 y x (neg.f64 z)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x (neg.f64 z))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y x (neg.f64 z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 y x (neg.f64 z)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
(/.f64 (neg.f64 (fma.f64 y x z)) (neg.f64 (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z)))) (neg.f64 (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z)))))
(/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))))
(/.f64 #s(literal -1 binary64) (-.f64 z (*.f64 y x)))
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z)))
(/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x (neg.f64 z))))
(-.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (.f64 z z)) (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z)))) (/.f64 (.f64 (.f64 y x) (neg.f64 z)) (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (fma.f64 y x (neg.f64 z))) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (/.f64 (.f64 (/.f64 z (fma.f64 y x (neg.f64 z))) z) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(-.f64 (/.f64 (.f64 y x) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (/.f64 (neg.f64 z) (*.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x (neg.f64 z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (neg.f64 z))) #s(literal -1 binary64)))

eval246.0ms (2.5%)

Memory: 2.0MiB live, 508.9MiB allocated
Compiler: Compiled 36 481 to 2 425 computations (93.4% saved)

prune370.0ms (3.7%)

Memory

1.7MiB live, 687.6MiB allocated

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	1 341	32	1 373
Fresh	12	11	23
Picked	3	2	5
Done	0	3	3
Total	1 356	48	1 404

Accuracy

100.0%

Counts

1 404 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	23.1%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
	23.8%	#s(approx (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) x))
	35.8%	#s(approx (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z))
	59.7%	#s(approx (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (.f64 z (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	56.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
	51.8%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z z)))))
▶	91.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))))
	90.8%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))))
	87.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
	87.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 (fma.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y)) z))
	91.1%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
✓	91.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
	52.8%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))))
	41.1%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	51.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( z (/ (cos y) x)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x))
	51.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
	35.1%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x)) x))
	47.5%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z))
	52.7%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
▶	39.7%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
	56.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)))
	50.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (.f64 (.f64 y x) x) (fma.f64 y x (neg.f64 z))) (/.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 z (fma.f64 y x (neg.f64 z))) z))))
	37.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (.f64 y y) (fma.f64 y x (neg.f64 z))) (/.f64 (.f64 x x) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 z (fma.f64 y x (neg.f64 z))) z))))
	49.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 y (fma.f64 y x (neg.f64 z))) (/.f64 (.f64 x (.f64 y x)) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 z (fma.f64 y x (neg.f64 z))) z))))
✓	57.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	33.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
	9.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 z (-.f64 z (*.f64 y x))))))
	12.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y)))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))))
	56.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
▶	32.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 y (.f64 x (fma.f64 y x z)) (*.f64 (neg.f64 z) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
▶	21.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))))))
	15.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) #s(approx (/ 1 (+ (* x y) (neg z))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
	24.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (.f64 (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z)) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
	36.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 #s(approx (+ (* x y) z) (*.f64 y x)) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
✓	60.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	10.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (.f64 (.f64 (*.f64 y y) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
▶	23.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
	38.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
	37.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
	38.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
	3.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) (.f64 y y))))) z))
	2.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64)))))))
	13.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal 0 binary64)) (.f64 y x))))
✓	20.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	37.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) z) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
	37.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))

Compiler

Compiled 2 013 to 1 032 computations (48.7% saved)

simplify124.0ms (1.3%)

Memory

16.1MiB live, 172.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	320	(fma.f64 z z (.f64 (.f64 y x) z))
cost-diff	320	(fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z)))
cost-diff	2368	(.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z)))))
cost-diff	3136	(/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))))
cost-diff	0	(*.f64 x (fma.f64 y x z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 y (.f64 x (fma.f64 y x z)) (*.f64 (neg.f64 z) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
cost-diff	704	(fma.f64 y (.f64 x (fma.f64 y x z)) (.f64 (neg.f64 z) (fma.f64 y x z)))
cost-diff	2368	(.f64 (fma.f64 y (.f64 x (fma.f64 y x z)) (*.f64 (neg.f64 z) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (* (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
cost-diff	320	(.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
cost-diff	0	#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)
cost-diff	0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
cost-diff	0	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
cost-diff	0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))))
cost-diff	1792	(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))))

Rules

9 700×	`lower-fma.f32`
9 682×	`lower-fma.f64`
4 308×	`lower-*.f32`
4 282×	`lower-*.f64`
1 790×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	554
0	94	498
1	197	472
2	433	388
3	1712	388
4	5166	386
0	8776	379

Stop Event

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

Calls

Call 1

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

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

localize167.0ms (1.7%)

Memory

-10.0MiB live, 244.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	6.315151992326745	(fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z)))
accuracy	27.509332199336068	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))))))
accuracy	29.081938453366902	(.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z)))))
accuracy	42.28347279419555	(/.f64 (fma.f64 (.f64 (.f64 y x) y) x (fma.f64 z z (.f64 (.f64 y x) z))) (.f64 (fma.f64 z z (.f64 (*.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))))
accuracy	1.2694289028550916	(*.f64 (neg.f64 z) (fma.f64 y x z))
accuracy	7.826051484658564	(fma.f64 y (.f64 x (fma.f64 y x z)) (.f64 (neg.f64 z) (fma.f64 y x z)))
accuracy	27.509332199336068	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 y (.f64 x (fma.f64 y x z)) (*.f64 (neg.f64 z) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
accuracy	29.081938453366902	(.f64 (fma.f64 y (.f64 x (fma.f64 y x z)) (*.f64 (neg.f64 z) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
accuracy	0.42570968186851504	(/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))
accuracy	27.509332199336068	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
accuracy	29.081938453366902	(.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
accuracy	30.397493603764783	#s(approx (* (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z))
accuracy	0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
accuracy	5.588327759943982	(.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)
accuracy	38.66144192270355	#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))
accuracy	0.08203125	(/.f64 (sin.f64 y) z)
accuracy	0.09375	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy	0.6614190946950175	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
accuracy	4.900693180564251	(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))))

Samples

122.0ms

256×

valid

Compiler

Compiled 472 to 50 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 53.0ms (61.1% of total)

ival-add: 12.0ms (13.8% of total)

ival-div: 8.0ms (9.2% of total)

ival-sin: 6.0ms (6.9% of total)

ival-cos: 5.0ms (5.8% of total)

ival-neg: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series171.0ms (1.7%)

Memory

-26.0MiB live, 164.9MiB allocated

Counts

23 → 792

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	y	@	inf	((/ z (/ 1 (+ (* (/ (sin y) z) x) (cos y)))) (+ (* (sin y) x) (* (cos y) z)) (/ 1 (+ (* (/ (sin y) z) x) (cos y))) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (* (neg z) z) (* (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (/ 1 (+ (* x y) (neg z)))) (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (+ (* x (sin y)) (* z (cos y))) (* x (+ (* y x) z)) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z)))) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z))))) (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (+ (* z z) (* (* y x) z)) (/ (sin y) z) (/ 1 (+ (* x y) (neg z))) (* (neg z) (+ (* y x) z)) (+ (* x (sin y)) (* z (cos y))))
21.0ms	x	@	inf	((/ z (/ 1 (+ (* (/ (sin y) z) x) (cos y)))) (+ (* (sin y) x) (* (cos y) z)) (/ 1 (+ (* (/ (sin y) z) x) (cos y))) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (* (neg z) z) (* (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (/ 1 (+ (* x y) (neg z)))) (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (+ (* x (sin y)) (* z (cos y))) (* x (+ (* y x) z)) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z)))) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z))))) (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (+ (* z z) (* (* y x) z)) (/ (sin y) z) (/ 1 (+ (* x y) (neg z))) (* (neg z) (+ (* y x) z)) (+ (* x (sin y)) (* z (cos y))))
5.0ms	y	@	-inf	((/ z (/ 1 (+ (* (/ (sin y) z) x) (cos y)))) (+ (* (sin y) x) (* (cos y) z)) (/ 1 (+ (* (/ (sin y) z) x) (cos y))) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (* (neg z) z) (* (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (/ 1 (+ (* x y) (neg z)))) (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (+ (* x (sin y)) (* z (cos y))) (* x (+ (* y x) z)) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z)))) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z))))) (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (+ (* z z) (* (* y x) z)) (/ (sin y) z) (/ 1 (+ (* x y) (neg z))) (* (neg z) (+ (* y x) z)) (+ (* x (sin y)) (* z (cos y))))
5.0ms	x	@	-inf	((/ z (/ 1 (+ (* (/ (sin y) z) x) (cos y)))) (+ (* (sin y) x) (* (cos y) z)) (/ 1 (+ (* (/ (sin y) z) x) (cos y))) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (* (neg z) z) (* (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (/ 1 (+ (* x y) (neg z)))) (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (+ (* x (sin y)) (* z (cos y))) (* x (+ (* y x) z)) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z)))) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z))))) (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (+ (* z z) (* (* y x) z)) (/ (sin y) z) (/ 1 (+ (* x y) (neg z))) (* (neg z) (+ (* y x) z)) (+ (* x (sin y)) (* z (cos y))))
5.0ms	z	@	inf	((/ z (/ 1 (+ (* (/ (sin y) z) x) (cos y)))) (+ (* (sin y) x) (* (cos y) z)) (/ 1 (+ (* (/ (sin y) z) x) (cos y))) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ 1 (+ (* x y) (neg z)))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* x y) z) (+ (* x y) (neg z))) (* (neg z) z) (* (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (/ 1 (+ (* x y) (neg z)))) (+ (* y (* x (+ (* y x) z))) (* (neg z) (+ (* y x) z))) (+ (* x (sin y)) (* z (cos y))) (* x (+ (* y x) z)) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z)))) (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z))))) (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (+ (* z z) (* (* y x) z)) (/ (sin y) z) (/ 1 (+ (* x y) (neg z))) (* (neg z) (+ (* y x) z)) (+ (* x (sin y)) (* z (cos y))))

simplify347.0ms (3.5%)

Memory

4.3MiB live, 287.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 462×	`lower-fma.f64`
8 462×	`lower-fma.f32`
5 826×	`lower-*.f64`
5 826×	`lower-*.f32`
4 072×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1216	11138
1	4284	10222
0	9358	9621

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 773

Calls

Call 1

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

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

rewrite340.0ms (3.4%)

Memory

46.6MiB live, 348.6MiB allocated

Rules

6 818×	`lower-fma.f32`
6 800×	`lower-fma.f64`
4 032×	`lower-*.f32`
4 006×	`lower-*.f64`
3 848×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	423
0	94	359
1	381	297
2	2582	253
0	8786	248

Stop Event

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

Counts

23 → 1 041

Calls

Call 1

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

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

eval472.0ms (4.8%)

Memory: -64.0MiB live, 403.0MiB allocated
Compiler: Compiled 76 703 to 4 113 computations (94.6% saved)

prune615.0ms (6.2%)

Memory

-9.6MiB live, 723.4MiB allocated

Pruning

58 alts after pruning (52 fresh and 6 done)

	Pruned	Kept	Total
New	1 889	22	1 911
Fresh	8	30	38
Picked	4	1	5
Done	0	5	5
Total	1 901	58	1 959

Accuracy

100.0%

Counts

1 959 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	23.1%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
	23.8%	#s(approx (/ (+ (* (neg (* z z)) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x))) (+ (* (neg z) (cos y)) (* (sin y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) x))
	35.8%	#s(approx (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z))
	59.7%	#s(approx (+ (* (* x x) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (cos y)) (* (sin y) x)))))) (.f64 z (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	56.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
	51.8%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (.f64 z (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) x) z)) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (*.f64 z z)))))
	23.5%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 #s(approx (* (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z)) (fma.f64 x y (neg.f64 z))))
	60.6%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 z (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	47.8%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))))))
	52.7%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))))))
	60.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (sin y) z) x) (cos y)) (cos.f64 y)))))
	33.6%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 z #s(approx (/ 1 (+ (* (/ (sin y) z) x) (cos y))) (/.f64 z (*.f64 (sin.f64 y) x)))))
	90.8%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))))
	87.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
	87.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 (fma.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y)) z))
	91.1%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
✓	91.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
	41.1%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	51.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( z (/ (cos y) x)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x))
	51.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
	35.1%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x)) x))
	47.5%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z))
	52.7%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
✓	39.7%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z))
	56.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)))
✓	57.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	33.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
	9.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 z (-.f64 z (*.f64 y x))))))
	12.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y)))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)))))
	23.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (neg.f64 z)) #s(approx (* (+ (* x y) z) (+ (* x y) (neg z))) (*.f64 (neg.f64 z) z)))))
	56.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))))
	30.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 y (.f64 x (fma.f64 y x z)) (.f64 (neg.f64 z) (fma.f64 y x z))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (fma.f64 x y z))))
	27.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 y #s(approx ( x (+ (* y x) z)) (.f64 (.f64 x x) y)) (*.f64 (neg.f64 z) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
	22.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 y #s(approx ( x (+ (* y x) z)) (.f64 z x)) (.f64 (neg.f64 z) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
	56.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 x y (neg.f64 z)) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))))
	14.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(approx (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (.f64 (fma.f64 y x z) z)) (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))))))
	14.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(approx (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (.f64 z z)) (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 y x z) y) x)) (fma.f64 y x (neg.f64 z))))))
	15.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) #s(approx (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
	36.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) (.f64 (fma.f64 y x (neg.f64 z)) (fma.f64 y x z))) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 #s(approx (+ (* x y) z) (*.f64 y x)) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
✓	60.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	5.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (fma.f64 x (/.f64 z y) (.f64 x x))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
	10.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (.f64 (fma.f64 x x (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 z) z) y)) y)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)))))
	12.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (.f64 (neg.f64 z) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 (.f64 (fma.f64 x y z) y) x)) (fma.f64 x y (neg.f64 z)))) (fma.f64 z z (.f64 (*.f64 (fma.f64 x y z) y) x)))))
	29.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (.f64 (neg.f64 z) z)) #s(approx (/ 1 (+ ( x y) (neg z))) (/.f64 (neg.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))))
	3.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (.f64 (neg.f64 z) z)) #s(approx (/ 1 (+ ( x y) (neg z))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
	24.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* x y) z) (+ (* x y) (neg z))) (.f64 (neg.f64 z) z)) #s(approx (/ 1 (+ ( x y) (neg z))) (/.f64 #s(literal -1 binary64) z))))
	38.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
	37.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
	38.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
	3.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) (.f64 y y))))) z))
	2.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64)))))))
	13.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal 0 binary64)) (.f64 y x))))
✓	20.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	52.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (* (+ (* x y) z) (+ (* x y) (neg z))) (/ (+ (* (* (* y x) y) x) (+ (* z z) (* (* y x) z))) (* (+ (* z z) (* (* (+ (* y x) z) y) x)) (+ (* y x) (neg z))))) (+.f64 z (.f64 z (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) y (*.f64 (neg.f64 y) x)) z)))))
	37.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) z) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
	37.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))

Compiler

Compiled 3 256 to 980 computations (69.9% saved)

regimes150.0ms (1.5%)

Memory

17.5MiB live, 170.9MiB allocated

Counts

96 → 1

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	y
38.0ms	x
29.0ms	z
27.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes151.0ms (1.5%)

Memory

-10.6MiB live, 111.7MiB allocated

Counts

67 → 3

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	z
23.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
18.0ms	x
18.0ms	y

Results

Accuracy	Segments	Branch
79.0%	3	`x`
80.5%	4	`y`
76.2%	4	`z`
66.9%	4	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes57.0ms (0.6%)

Memory

23.2MiB live, 59.8MiB allocated

Counts

62 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

36.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
78.0%	3	`y`
73.5%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes101.0ms (1%)

Memory

-7.0MiB live, 82.4MiB allocated

Counts

61 → 1

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	y
28.0ms	x
17.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
17.0ms	z

Results

Accuracy	Segments	Branch
57.0%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
57.0%	1	`x`
57.0%	1	`z`
57.0%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

-24.1MiB live, 15.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.4%	3	`x`
43.4%	3	`y`
45.2%	3	`z`
39.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
20.9%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
20.9%	1	`y`
20.9%	1	`z`
20.9%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch81.0ms (0.8%)

Memory

-5.6MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
66.0ms	2.4048918930182077e+78	1.3483658708300017e+79
13.0ms	-2.2053660664005534e+114	-6.31250861384688e+112

Samples

72.0ms

208×

valid

Compiler

Compiled 249 to 170 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-cos: 58.0ms (86.7% of total)

ival-sin: 5.0ms (7.5% of total)

ival-mult: 3.0ms (4.5% of total)

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

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

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

bsearch94.0ms (0.9%)

Memory

14.6MiB live, 53.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
75.0ms	35.0977551690804	117782916093.01476
15.0ms	-1614421.0194843044	-2.287326427673324e-7

Samples

79.0ms

304×

valid

Compiler

Compiled 547 to 337 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-cos: 60.0ms (83.2% of total)

ival-sin: 7.0ms (9.7% of total)

ival-mult: 4.0ms (5.5% of total)

ival-add: 1.0ms (1.4% of total)

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

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

bsearch91.0ms (0.9%)

Memory

-1.8MiB live, 39.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.0048842075106891e+163	9.280186661506633e+170
72.0ms	-8.743568423260459e+76	-3.272504739098445e+72

Samples

79.0ms

272×

valid

Compiler

Compiled 321 to 201 computations (37.4% saved)

Precisions

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

ival-sin: 6.0ms (37.4% of total)

ival-cos: 5.0ms (31.2% of total)

ival-mult: 4.0ms (24.9% of total)

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

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

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

simplify7.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	213
1	59	213

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 x #s(literal -295000000000000011425186273139630955823188871834279889572736792768384829274136077494273812522988757137959531053056 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 10599999999999999226142494603477679415819200358137847412550661031020218944585728 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 36 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -65000000000000004665846786492845798837099501492295702490014605759631457255424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) (if (<=.f64 x #s(literal 4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(if (<=.f64 x #s(literal -295000000000000011425186273139630955823188871834279889572736792768384829274136077494273812522988757137959531053056 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 10599999999999999226142494603477679415819200358137847412550661031020218944585728 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
(if (<=.f64 x #s(literal -295000000000000011425186273139630955823188871834279889572736792768384829274136077494273812522988757137959531053056 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 10599999999999999226142494603477679415819200358137847412550661031020218944585728 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 36 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 36 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -65000000000000004665846786492845798837099501492295702490014605759631457255424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) (if (<=.f64 x #s(literal 4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))))
(if (<=.f64 x #s(literal -65000000000000004665846786492845798837099501492295702490014605759631457255424 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness795.0ms (8%)

Memory

-9.0MiB live, 545.6MiB allocated

Rules

14 960×	`lower-fma.f64`
14 960×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
6 646×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8391	18
0	1126	11235
1	4125	10979
0	8715	10433
0	96	626
1	316	622
2	931	612
3	2499	606
4	4406	606
5	7320	606
0	8403	556

Stop Event

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

Compiler

Compiled 207 to 100 computations (51.7% saved)

preprocess48.0ms (0.5%)

Memory: 15.4MiB live, 132.3MiB allocated
Compiler: Compiled 224 to 88 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (14.9%)

explain118.0ms (1.2%)

preprocess45.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize32.0ms (0.3%)

series12.0ms (0.1%)

simplify214.0ms (2.2%)

rewrite195.0ms (2%)

eval33.0ms (0.3%)

prune46.0ms (0.5%)

simplify161.0ms (1.6%)

localize302.0ms (3.1%)

series95.0ms (1%)

simplify518.0ms (5.2%)

rewrite593.0ms (6%)

eval417.0ms (4.2%)

prune330.0ms (3.3%)

simplify184.0ms (1.9%)

localize137.0ms (1.4%)

series73.0ms (0.7%)

simplify264.0ms (2.7%)

rewrite200.0ms (2%)

eval246.0ms (2.5%)

prune370.0ms (3.7%)

simplify124.0ms (1.3%)

localize167.0ms (1.7%)

series171.0ms (1.7%)

simplify347.0ms (3.5%)

rewrite340.0ms (3.4%)

eval472.0ms (4.8%)

prune615.0ms (6.2%)

regimes150.0ms (1.5%)

regimes151.0ms (1.5%)

regimes57.0ms (0.6%)

regimes101.0ms (1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch81.0ms (0.8%)

bsearch94.0ms (0.9%)

bsearch91.0ms (0.9%)

simplify7.0ms (0.1%)

soundness795.0ms (8%)

preprocess48.0ms (0.5%)

end0.0ms (0%)

Profiling