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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample2.5s (24.3%)

Memory

15.2MiB live, 1 514.4MiB allocated

Samples

2.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-cos: 647.0ms (44.9% of total)

ival-mult: 323.0ms (22.4% of total)

ival-sin: 305.0ms (21.2% of total)

ival-add: 157.0ms (10.9% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain138.0ms (1.3%)

Memory

6.0MiB live, 198.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

86.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-cos: 48.0ms (67.6% of total)

ival-sin: 14.0ms (19.7% of total)

ival-mult: 7.0ms (9.9% of total)

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

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

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

preprocess44.0ms (0.4%)

Memory

21.2MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Rules

162×	`associate-r`
160×	`unsub-neg`
146×	`associate-l`
132×	`distribute-lft-neg-in`
106×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

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

localize48.0ms (0.5%)

Memory

-7.5MiB live, 84.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.015625	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.0859375	(*.f64 x (cos.f64 y))
accuracy	0.1171875	(*.f64 z (sin.f64 y))

Samples

26.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (32.9% of total)

ival-mult: 5.0ms (27.4% of total)

ival-sin: 5.0ms (27.4% of total)

ival-add: 3.0ms (16.4% of total)

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

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

series14.0ms (0.1%)

Memory

-14.8MiB live, 24.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	y	@	inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	-inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	0	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify186.0ms (1.8%)

Memory

-1.7MiB live, 270.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
3 812×	`lower-*.f64`
3 812×	`lower-*.f32`
2 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	891	610
3	2076	604
4	3745	604
5	6377	604
0	8794	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
x
(+ x (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)

rewrite247.0ms (2.4%)

Memory

-2.1MiB live, 380.7MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 068×	`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	8386	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

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

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

eval127.0ms (1.2%)

Memory: 8.5MiB live, 47.3MiB allocated
Compiler: Compiled 8 113 to 561 computations (93.1% saved)

prune28.0ms (0.3%)

Memory

-36.6MiB live, 42.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	254	16	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	16	271

Accuracy

99.9%

Counts

271 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.1%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	84.1%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
	56.4%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	43.8%	(/.f64 (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
	23.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	56.3%	(+.f64 (.f64 x #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)))) (*.f64 z (sin.f64 y)))
	56.8%	(+.f64 (.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
	56.4%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
	53.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	55.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
▶	36.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	64.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 732 to 392 computations (46.4% saved)

simplify328.0ms (3.1%)

Memory

45.7MiB live, 235.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	128	(neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))
cost-diff	41920	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
cost-diff	0	(fma.f64 z y x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))

Rules

20 320×	`lower-fma.f32`
20 312×	`lower-fma.f64`
3 016×	`lower-*.f32`
3 010×	`lower-*.f64`
2 302×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	227
0	50	194
1	81	194
2	140	193
3	391	193
4	1027	193
5	2486	193
6	3467	193
7	3753	193
8	3903	193
9	3931	193
10	3938	193
11	4867	193
12	5311	193
13	5359	193
14	5487	193
15	5551	193
16	5551	193
17	5580	193
18	5580	193
19	5596	193
20	5784	193
21	7051	193
0	8397	193

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (0.9%)

Memory

-12.9MiB live, 146.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.125	(/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy	0.25390625	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.27181625976844204	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	11.905601167700473	(/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))
accuracy	0.08203125	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.0859375	(*.f64 (cos.f64 y) x)
accuracy	0.13671875	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.234375	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0.1171875	(*.f64 (sin.f64 y) z)
accuracy	40.48857813580249	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
accuracy	0	(fma.f64 z y x)
accuracy	28.741372282327884	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.08203125	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.0859375	(*.f64 (cos.f64 y) x)

Samples

69.0ms

256×

valid

Compiler

Compiled 231 to 31 computations (86.6% saved)

Precisions

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

ival-mult: 12.0ms (23.5% of total)

ival-sin: 8.0ms (15.7% of total)

ival-cos: 8.0ms (15.7% of total)

ival-add: 7.0ms (13.7% of total)

ival-div: 5.0ms (9.8% of total)

ival-pow2: 5.0ms (9.8% of total)

ival-pow: 4.0ms (7.8% of total)

ival-neg: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series82.0ms (0.8%)

Memory

-17.0MiB live, 58.8MiB allocated

Counts

17 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	y	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms	z	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms	y	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms	y	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))))
4.0ms	z	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))))

simplify229.0ms (2.2%)

Memory

34.5MiB live, 271.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 542×	`lower-fma.f64`
9 542×	`lower-fma.f32`
7 228×	`lower-*.f64`
7 228×	`lower-*.f32`
2 898×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	784	7072
1	2691	6775
0	8380	6450

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 480

Calls

Call 1

Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y)))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ 1 (cos y))
(+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (* -1 (/ (sin y) (* x (pow (cos y) 2)))))) (/ 1 (cos y)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* x (pow (cos y) 2)))))) (/ 1 (cos y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* z (sin y))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (sin y))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* -1 (/ x (* z (sin y))))
(/ (+ (* -1 (/ x (sin y))) (* -1 (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ x (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ x (sin y))) (* -1 (/ (* (pow x 4) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 3) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* z (sin y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* -1 (/ x (* z (sin y))))
(* -1 (/ (+ (/ x (sin y)) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 2) (cos y)) (pow (sin y) 2))) z)) (/ x (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 3) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 2) (cos y)) (pow (sin y) 2))) z)) (/ x (sin y))) z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (- (* y (- 1/2 (* -1 (/ (pow z 2) (pow x 2))))) (* -1 (/ z x)))))
(+ 1 (* y (- (* y (- (+ 1/2 (* -1 (* y (+ (* -1 (/ (* z (- 1/2 (* -1 (/ (pow z 2) (pow x 2))))) x)) (+ (* -1/2 (/ z x)) (* 1/6 (/ z x))))))) (* -1 (/ (pow z 2) (pow x 2))))) (* -1 (/ z x)))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
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(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x)) #s(literal -1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(.f64 (.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)))) x)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (fma.f64 z (.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)))) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) x) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(/.f64 (fma.f64 z (.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)))) x)) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) x) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) (neg.f64 x))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))

rewrite395.0ms (3.8%)

Memory

8.8MiB live, 520.2MiB allocated

Rules

5 428×	`lower-fma.f32`
5 420×	`lower-fma.f64`
4 664×	`lower-/.f32`
4 658×	`lower-/.f64`
3 962×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	169
0	50	136
1	187	136
2	1231	136
0	8362	136

Stop Event

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

Counts

17 → 1 541

Calls

Call 1

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

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

eval722.0ms (6.9%)

Memory: 2.6MiB live, 852.9MiB allocated
Compiler: Compiled 126 137 to 4 181 computations (96.7% saved)

prune128.0ms (1.2%)

Memory

4.3MiB live, 239.8MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	2 686	32	2 718
Fresh	9	2	11
Picked	2	3	5
Done	0	0	0
Total	2 697	37	2 734

Accuracy

100.0%

Counts

2 734 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y)))))
	66.4%	(fma.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
	48.9%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (.f64 (.f64 (*.f64 y y) z) z) x))))
	97.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
	78.4%	(fma.f64 (sin.f64 y) z (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	56.3%	(fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	56.8%	(fma.f64 (sin.f64 y) 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))) x))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
▶	49.2%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	49.2%	(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	56.4%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	56.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
	40.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	64.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
	32.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))))
▶	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
	64.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	45.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	53.5%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	53.7%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
	93.8%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	88.0%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
	64.6%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
✓	55.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	17.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
▶	55.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
✓	36.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (sin y) (.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))
	13.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (sin y) (.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)) z))
	52.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
	50.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	47.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
	38.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
▶	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) y) y (.f64 #s(literal -1/6 binary64) z)) (.f64 y y) z) y)))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))

Compiler

Compiled 1 078 to 806 computations (25.2% saved)

simplify8.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
cost-diff	0	(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
cost-diff	0	#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
cost-diff	0	(fma.f64 z y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z y x))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))

Rules

56×	`lower-*.f32`
50×	`lower-*.f64`
30×	`lower-/.f32`
28×	`lower-fma.f32`
22×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	186
0	54	174
1	69	174
2	82	174
3	92	174
4	99	174
5	109	174
6	110	174
7	111	174
8	112	174
0	112	174

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (1.1%)

Memory

-42.3MiB live, 81.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))
accuracy	0.0390625	(*.f64 x (cos.f64 y))
accuracy	0.05859375	(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
accuracy	0.24904252930532605	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
accuracy	0.06640625	(*.f64 (sin.f64 y) z)
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
accuracy	20.876869729678816	#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
accuracy	0	(fma.f64 z y x)
accuracy	0.05859375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
accuracy	0.2582999362060284	(/.f64 #s(literal 1 binary64) (fma.f64 z y x))
accuracy	13.50596929320989	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
accuracy	0	(*.f64 z y)
accuracy	13.50596929320989	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	16.48210240754619	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.03125	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy	0.06640625	(*.f64 (sin.f64 y) z)

Samples

55.0ms	127×	0	valid
30.0ms	129×	0	invalid

Compiler

Compiled 160 to 28 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow: 37.0ms (54.5% of total)

ival-mult: 8.0ms (11.8% of total)

ival-div: 6.0ms (8.8% of total)

ival-cos: 6.0ms (8.8% of total)

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

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

exact: 1.0ms (1.5% of total)

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

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

series52.0ms (0.5%)

Memory

11.8MiB live, 83.8MiB allocated

Counts

18 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	z	@	-inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y)))
6.0ms	y	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y)))
3.0ms	y	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y)))
3.0ms	z	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y)))
3.0ms	z	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y)))

simplify241.0ms (2.3%)

Memory

11.0MiB live, 202.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 090×	`lower-*.f64`
7 090×	`lower-*.f32`
6 924×	`lower-fma.f64`
6 924×	`lower-fma.f32`
2 908×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	674	6267
1	2175	6093
2	7801	6065
0	8030	5707

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 532

Calls

Call 1

Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(sqrt (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* 1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))) (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))))))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ 1 (* y z))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(sqrt (/ 1 (* z (sin y))))
(+ (sqrt (/ 1 (* z (sin y)))) (* -1/2 (* (* x (cos y)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))))
(+ (sqrt (/ 1 (* z (sin y)))) (+ (* -1/2 (* (* x (cos y)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* 1/2 (* (* (pow x 2) (pow (cos y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5))))))))
(+ (sqrt (/ 1 (* z (sin y)))) (+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))))) (+ (* -1/2 (* (* x (cos y)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* 1/2 (* (* (pow x 2) (pow (cos y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))))))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* y z))
(* -1 (/ (- (/ x (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* (pow y 3) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (/ (pow x 2) (pow y 3))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* (sqrt (/ 1 (* z (sin y)))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (* x (cos y)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (* x (cos y)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* 1/2 (* (* (pow x 2) (pow (cos y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (* (pow x 2) (pow (cos y) 2)) (sqrt (/ z (pow (sin y) 5))))) (* 1/2 (* (sqrt (/ (sin y) z)) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (pow z 3))) (+ (* -1/2 (* (* x (cos y)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (pow (sqrt -1) 2))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow x 4))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y z))))
(+ (sqrt (/ 1 x)) (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) z)) (* 1/2 (* (sqrt x) (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))))))))
(+ (sqrt (/ 1 x)) (* y (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) z)) (* y (+ (* -1/2 (* (sqrt x) (* y (+ (* -1/2 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))) x)) (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))))) (* 1/2 (* (sqrt x) (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3))))))))))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* y z))
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)
(/ (- (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (/ 1 z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(sqrt (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(sqrt (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(sqrt (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(sqrt (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
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Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
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(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
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(+ (sqrt (/ 1 (* x (cos y)))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))))
(+ (sqrt (/ 1 (* x (cos y)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow x 7))) (+ (* 1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z) (sin.f64 y) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (cos.f64 y) (pow.f64 x #s(literal 7 binary64)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ (* y z) x) 1) x))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* y z)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y (/.f64 (.f64 (.f64 (*.f64 z z) y) y) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* (pow y 2) (pow z 2))) x)) (* y z)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) y (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) y) z) z (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow (cos y) 5))) (* (pow z 2) (pow (sin y) 2)))) (* 1/2 (* (sqrt (/ (cos y) x)) (+ (* -1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (* (pow (cos y) 3) (pow (sqrt -1) 2)))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 y) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (sqrt.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 5 binary64)))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)

rewrite293.0ms (2.8%)

Memory

9.1MiB live, 374.9MiB allocated

Rules

8 118×	`lower-fma.f32`
8 112×	`lower-fma.f64`
4 650×	`lower-*.f32`
4 644×	`lower-*.f64`
2 428×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	159
0	54	143
1	187	143
2	767	143
3	7167	143
0	8130	143

Stop Event

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

Counts

18 → 890

Calls

Call 1

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

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

eval384.0ms (3.7%)

Memory: 39.7MiB live, 483.5MiB allocated
Compiler: Compiled 32 960 to 3 040 computations (90.8% saved)

prune112.0ms (1.1%)

Memory

-51.2MiB live, 250.7MiB allocated

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	1 498	22	1 520
Fresh	15	14	29
Picked	2	3	5
Done	0	3	3
Total	1 515	42	1 557

Accuracy

100.0%

Counts

1 557 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))))
▶	97.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
	78.4%	(fma.f64 (sin.f64 y) z (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	56.3%	(fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	56.8%	(fma.f64 (sin.f64 y) 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))) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	48.9%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
	49.1%	(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64)) #s(literal -2 binary64))
	49.2%	(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	16.9%	(pow.f64 #s(approx (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #s(literal -2 binary64))
	32.5%	(pow.f64 #s(approx (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64))
	56.4%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	64.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
	44.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
	36.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 z))))
	36.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sin.f64 y)))))
✓	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
▶	64.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	13.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
	45.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	36.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))))
	13.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
	49.3%	(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
▶	53.5%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
▶	53.7%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	93.8%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
	88.0%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	64.6%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (cos.f64 y) x))
✓	55.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	17.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	13.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z y) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (.f64 (.f64 z z) y))) y))))
✓	36.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (sin y) (.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))
	13.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (sin y) (.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)) z))
	52.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* z y) x))) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
	47.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* z y) x))) (*.f64 (+.f64 (/.f64 x z) y) z)))
	38.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* z y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
	50.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* z y) x))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
✓	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) y) y (.f64 #s(literal -1/6 binary64) z)) (.f64 y y) z) y)))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))

Compiler

Compiled 1 066 to 860 computations (19.3% saved)

simplify183.0ms (1.8%)

Memory

26.0MiB live, 212.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 596×	`lower-fma.f32`
5 580×	`lower-fma.f64`
4 170×	`lower-*.f32`
4 156×	`lower-*.f64`
1 774×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	333
0	88	333
1	138	333
2	234	331
3	557	331
4	1224	329
5	2762	329
6	4555	329
7	6948	329
0	8129	322

Stop Event

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

Calls

Call 1

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

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

localize188.0ms (1.8%)

Memory

-11.2MiB live, 356.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
accuracy	0.046875	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
accuracy	0.06640625	(/.f64 (sin.f64 y) x)
accuracy	1.9454114651794212	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
accuracy	0.0390625	(*.f64 (cos.f64 y) x)
accuracy	0.0625	(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
accuracy	10.811932910605137	#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.015625	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy	0.2327513405617286	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	13.917614122540868	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z)
accuracy	0.01953125	(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
accuracy	13.818606711238276	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
accuracy	0.0625	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy	0.06640625	(*.f64 (sin.f64 y) z)
accuracy	0.11328125	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	16.271092918292094	#s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))

Samples

91.0ms	127×	0	valid
61.0ms	129×	0	invalid

Compiler

Compiled 292 to 52 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 39.0ms (30.2% of total)

ival-pow: 33.0ms (25.6% of total)

const: 16.0ms (12.4% of total)

ival-add: 14.0ms (10.9% of total)

ival-div: 8.0ms (6.2% of total)

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

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

ival-pow2: 5.0ms (3.9% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series192.0ms (1.8%)

Memory

9.4MiB live, 123.7MiB allocated

Counts

23 → 708

Calls

Call 1

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

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) (patch #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) (patch #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) (patch #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) (patch #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) #<representation:binary64>) () ())) ())
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#s(alt (* -1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch #s(approx (pow (+ ( (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation:binary64>) () ())) ())
#s(alt (cos y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation:binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (+ (* (/ (sin y) x) z) (cos y)) x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (sin y) z) (+ (* (neg z) (sin y)) (* (cos y) x)))
5.0ms	z	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (+ (* (/ (sin y) x) z) (cos y)) x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (sin y) z) (+ (* (neg z) (sin y)) (* (cos y) x)))
5.0ms	y	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (+ (* (/ (sin y) x) z) (cos y)) x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (sin y) z) (+ (* (neg z) (sin y)) (* (cos y) x)))
5.0ms	y	@	inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (+ (* (/ (sin y) x) z) (cos y)) x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (sin y) z) (+ (* (neg z) (sin y)) (* (cos y) x)))
5.0ms	x	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (* (+ (* (/ (sin y) x) z) (cos y)) x) (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (sin y) z) (+ (* (neg z) (sin y)) (* (cos y) x)))

simplify217.0ms (2.1%)

Memory

11.3MiB live, 315.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 658×	`lower-fma.f64`
9 658×	`lower-fma.f32`
7 232×	`lower-*.f64`
7 232×	`lower-*.f32`
3 298×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	8307
1	2625	7891
0	8552	7391

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 692

Calls

Call 1

Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(* -1/2 (* x y))
(+ z (* -1/2 (* x y)))
(+ z (* -1/2 (* x y)))
(+ z (* -1/2 (* x y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(* -1/2 (* x y))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1/2 x)
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (sin y))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
z
(* z (+ 1 (* -1/2 (/ (* x y) z))))
(* z (+ 1 (* -1/2 (/ (* x y) z))))
(* z (+ 1 (* -1/2 (/ (* x y) z))))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* -1/6 (* y z))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ (* z (sin y)) x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (sin y))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
z
(* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1/6 (* y z))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ (* z (sin y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* z (sin y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
z
(+ z (* -1/2 (* x y)))
(+ z (* -1/2 (* x y)))
(+ z (* -1/2 (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(* -1/2 x)
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(/ 1 x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(+ (cos y) (/ (* z (sin y)) x))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))

Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(* -1/2 (* x y))
(.f64 (.f64 y x) #s(literal -1/2 binary64))
(+ z (* -1/2 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z)
(+ z (* -1/2 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z)
(+ z (* -1/2 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(* -1/2 (* x y))
(.f64 (.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) (.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(.f64 (.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))) (.f64 z z))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (fma.f64 (neg.f64 z) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 (cos.f64 y)))) (.f64 z z))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 (cos.f64 y)))) (.f64 z z))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 (.f64 x x) z) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z z)) (/.f64 (.f64 x x) (sin.f64 y)) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))) z)
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 (.f64 x x) z) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z z)) (/.f64 (.f64 x x) (sin.f64 y)) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* y z)
(*.f64 z y)
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 (*.f64 y y) x) z) #s(literal -1/2 binary64) (/.f64 x z)) y) z)
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 (*.f64 y y) x) z) #s(literal -1/2 binary64) (/.f64 x z)) y) z)
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 (*.f64 y y) x) z) #s(literal -1/2 binary64) (/.f64 x z)) y) z)
z
(* z (+ 1 (* -1/2 (/ (* x y) z))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (/ (* x y) z))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* -1/2 (/ (* x y) z))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(.f64 (fma.f64 (/.f64 (.f64 (*.f64 y y) x) z) #s(literal -1/2 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z))) z)
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(.f64 (fma.f64 (/.f64 (.f64 (*.f64 y y) x) z) #s(literal -1/2 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z))) z)
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(.f64 (fma.f64 (/.f64 (.f64 (*.f64 y y) x) z) #s(literal -1/2 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z))) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(.f64 (fma.f64 (/.f64 (.f64 y x) z) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
(* -1/6 (* y z))
(.f64 #s(literal -1/6 binary64) (.f64 z y))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) z)
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) z)
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
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(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) (neg.f64 x))
(* -1/2 (* x y))
(.f64 (.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 z) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 z) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 z) x)) (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 x))
(* -1/2 (* x y))
(.f64 (.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(.f64 (.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (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 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 (.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) x) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x))) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y))) (neg.f64 x))

rewrite301.0ms (2.9%)

Memory

2.8MiB live, 357.1MiB allocated

Rules

6 220×	`lower-fma.f32`
6 204×	`lower-fma.f64`
4 544×	`lower-*.f32`
4 530×	`lower-*.f64`
3 728×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	283
0	88	277
1	324	270
2	1972	270
0	8473	265

Stop Event

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

Counts

23 → 431

Calls

Call 1

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

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

eval538.0ms (5.1%)

Memory: -94.2MiB live, 449.5MiB allocated
Compiler: Compiled 27 370 to 2 815 computations (89.7% saved)

prune95.0ms (0.9%)

Memory

3.7MiB live, 350.8MiB allocated

Pruning

52 alts after pruning (44 fresh and 8 done)

	Pruned	Kept	Total
New	1 195	22	1 217
Fresh	9	22	31
Picked	3	2	5
Done	0	6	6
Total	1 207	52	1 259

Accuracy

100.0%

Counts

1 259 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))))
	99.7%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x #s(approx (+ ( (neg z) (sin y)) (* (cos y) x)) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	56.3%	(fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	56.8%	(fma.f64 (sin.f64 y) 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))) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	16.9%	(pow.f64 #s(approx (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #s(literal -2 binary64))
	32.5%	(pow.f64 #s(approx (pow (+ (* z (sin y)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64))
	56.4%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	44.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	44.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)))
	64.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x)))
	64.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y))))
	36.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sin.f64 y)))))
	64.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (cos.f64 y) #s(literal -1 binary64))))))
	55.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))))
✓	36.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
✓	64.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
	42.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))))
	42.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))))
	42.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))))
	13.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
	45.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	36.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))))
	13.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
	49.3%	(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
✓	53.7%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
	54.0%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
	42.7%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	72.5%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
	88.0%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	93.8%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) z (cos.f64 y)) x))
	92.0%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
	64.6%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (cos.f64 y) x))
	50.8%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
	30.7%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
	45.3%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
	42.7%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal -1 binary64)) (neg.f64 x))))
	13.9%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (neg.f64 z) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
	49.4%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))) (neg.f64 x))))
	17.5%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 #s(literal 1 binary64) (+.f64 z (/.f64 x y))) y)) (*.f64 y y))))
	2.8%	#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))
✓	55.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	13.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z y) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (.f64 (.f64 z z) y))) y))))
✓	36.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (sin y) (.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))
	13.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (sin y) (.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)) z))
	47.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* z y) x))) (*.f64 (+.f64 (/.f64 x z) y) z)))
	38.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* z y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) y) y (.f64 #s(literal -1/6 binary64) z)) (.f64 y y) z) y)))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))

Compiler

Compiled 2 111 to 941 computations (55.4% saved)

regimes301.0ms (2.9%)

Memory

-11.7MiB live, 276.6MiB allocated

Counts

93 → 1

Calls

Call 1

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

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

Calls

4 calls:

205.0ms	y
36.0ms	x
29.0ms	z
27.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes72.0ms (0.7%)

Memory

13.6MiB live, 124.9MiB allocated

Counts

56 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes80.0ms (0.8%)

Memory

6.9MiB live, 156.5MiB allocated

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

22.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
21.0ms	z
17.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
81.3%	3	`x`
82.3%	3	`y`
82.6%	3	`z`
74.9%	2	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes49.0ms (0.5%)

Memory

12.7MiB live, 135.7MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

19.0ms	z
14.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
77.3%	3	`x`
81.0%	3	`y`
77.3%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes61.0ms (0.6%)

Memory

2.6MiB live, 83.6MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

22.0ms	x
13.0ms	y
12.0ms	z
12.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
64.6%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
70.3%	3	`x`
70.7%	3	`z`
75.4%	3	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes67.0ms (0.6%)

Memory

-2.5MiB live, 73.6MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	z
16.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
11.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
55.1%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
55.1%	1	`x`
55.1%	1	`z`
55.1%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
45.3%	1	`y`
45.3%	1	`z`
45.3%	1	`x`
45.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory

-20.1MiB live, 16.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
1.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
13.9%	1	`z`
13.9%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
13.9%	1	`x`
13.9%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch31.0ms (0.3%)

Memory

-9.3MiB live, 53.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	8.296029677351546e-67	2.7851769764900005e-58
8.0ms	-5.19520815792421e+129	-2.998610309513139e+129

Samples

21.0ms

208×

valid

Compiler

Compiled 196 to 232 computations (-18.4% saved)

Precisions

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

ival-cos: 9.0ms (55.4% of total)

ival-sin: 4.0ms (24.6% of total)

ival-mult: 3.0ms (18.5% of total)

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

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

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

bsearch30.0ms (0.3%)

Memory

-20.5MiB live, 55.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	89554.5687355619	76075858.34013847
8.0ms	-0.7582778136657264	-0.44129955643508634

Samples

18.0ms

192×

valid

Compiler

Compiled 192 to 206 computations (-7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-cos: 5.0ms (38% of total)

ival-sin: 5.0ms (38% of total)

ival-mult: 2.0ms (15.2% of total)

ival-add: 1.0ms (7.6% of total)

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

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

bsearch16.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	89554.5687355619	76075858.34013847
14.0ms	-0.44129955643508634	-3.100560229305852e-10

Samples

9.0ms

144×

valid

Compiler

Compiled 267 to 286 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.9% of total)

ival-add: 1.0ms (19% of total)

ival-cos: 1.0ms (19% of total)

ival-sin: 1.0ms (19% of total)

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

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

simplify35.0ms (0.3%)

Memory

6.3MiB live, 44.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	248
1	68	248

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -4599999999999999807103336349652989205991072326870107790696821532450944592759536055284911720361260635040601939674015594449599463424 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1116892707587883/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -4599999999999999807103336349652989205991072326870107790696821532450944592759536055284911720361260635040601939674015594449599463424 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))))
(if (<=.f64 z #s(literal -4599999999999999807103336349652989205991072326870107790696821532450944592759536055284911720361260635040601939674015594449599463424 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (pow (pow (+ ( z (sin y)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1116892707587883/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1116892707587883/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) -1/2) -2) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness1.3s (12.4%)

Memory

-20.5MiB live, 750.9MiB allocated

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
9 658×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	891	610
3	2076	604
4	3745	604
5	6377	604
0	8794	554
0	764	8307
1	2625	7891
0	8552	7391
0	30	169
0	50	136
1	187	136
2	1231	136
0	8362	136
0	674	6267
1	2175	6093
2	7801	6065
0	8030	5707
0	784	7072
1	2691	6775
0	8380	6450
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Compiler

Compiled 336 to 196 computations (41.7% saved)

preprocess137.0ms (1.3%)

Memory: 11.4MiB live, 126.6MiB allocated
Compiler: Compiled 250 to 106 computations (57.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	186
0	54	174
1	69	174
2	82	174
3	92	174
4	99	174
5	109	174
6	110	174
7	111	174
8	112	174
0	112	174

Iter	Nodes	Cost
0	36	186
0	54	174
1	69	174
2	82	174
3	92	174
4	99	174
5	109	174
6	110	174
7	111	174
8	112	174
0	112	174

start0.0ms (0%)

analyze0.0ms (0%)

sample2.5s (24.3%)

explain138.0ms (1.3%)

preprocess44.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize48.0ms (0.5%)

series14.0ms (0.1%)

simplify186.0ms (1.8%)

rewrite247.0ms (2.4%)

eval127.0ms (1.2%)

prune28.0ms (0.3%)

simplify328.0ms (3.1%)

localize91.0ms (0.9%)

series82.0ms (0.8%)

simplify229.0ms (2.2%)

rewrite395.0ms (3.8%)

eval722.0ms (6.9%)

prune128.0ms (1.2%)

simplify8.0ms (0.1%)

localize118.0ms (1.1%)

series52.0ms (0.5%)

simplify241.0ms (2.3%)

rewrite293.0ms (2.8%)

eval384.0ms (3.7%)

prune112.0ms (1.1%)

simplify183.0ms (1.8%)

localize188.0ms (1.8%)

series192.0ms (1.8%)

simplify217.0ms (2.1%)

rewrite301.0ms (2.9%)

eval538.0ms (5.1%)

prune95.0ms (0.9%)

regimes301.0ms (2.9%)

regimes72.0ms (0.7%)

regimes80.0ms (0.8%)

regimes49.0ms (0.5%)

regimes61.0ms (0.6%)

regimes67.0ms (0.6%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch31.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch16.0ms (0.2%)

simplify35.0ms (0.3%)

soundness1.3s (12.4%)

preprocess137.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	186
0	54	174
1	69	174
2	82	174
3	92	174
4	99	174
5	109	174
6	110	174
7	111	174
8	112	174
0	112	174