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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (13.9%)

Memory

-174.1MiB live, 1 585.3MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sin: 387.0ms (37.2% of total)

ival-mult: 376.0ms (36.1% of total)

ival-cos: 232.0ms (22.3% of total)

ival-add: 35.0ms (3.4% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

preprocess47.0ms (0.4%)

Memory

-23.8MiB live, 35.1MiB 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
1	11	9
0	11	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain110.0ms (1%)

Memory

26.0MiB live, 220.4MiB 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

55.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sin: 16.0ms (43.1% of total)

ival-cos: 12.0ms (32.3% of total)

ival-mult: 7.0ms (18.8% of total)

ival-add: 2.0ms (5.4% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

-30.7MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	11	24
0	11	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize39.0ms (0.4%)

Memory

15.0MiB live, 53.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))

Samples

23.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (39.9% of total)

ival-sin: 5.0ms (33.3% of total)

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

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

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

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

series7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (* z (sin y))>

Outputs
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>

Calls

24 calls:

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

rewrite653.0ms (6.1%)

Memory

-18.1MiB live, 659.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 480×	`accelerator-lowering-fma.f32`
11 480×	`accelerator-lowering-fma.f64`
4 168×	`-lowering-.f32`
4 168×	`-lowering-.f64`
4 068×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	24	19
2	180	19
3	1853	19
0	8395	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 176

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(+.f64 (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 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 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 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 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (neg.f64 x) (.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64))))
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simplify569.0ms (5.3%)

Memory

6.9MiB live, 646.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 080×	`accelerator-lowering-fma.f32`
14 080×	`accelerator-lowering-fma.f64`
3 812×	`-lowering-.f32`
3 812×	`-lowering-.f64`
2 968×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval30.0ms (0.3%)

Memory: 18.1MiB live, 93.5MiB allocated
Compiler: Compiled 9 973 to 554 computations (94.4% saved)

prune41.0ms (0.4%)

Memory

2.5MiB live, 123.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	257	15	272
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	258	15	273

Accuracy

99.9%

Counts

273 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.5%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	52.1%	(fma.f64 z y x)
▶	50.9%	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)
	51.1%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
▶	70.5%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	44.7%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
	38.4%	(/.f64 (+.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 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
▶	75.3%	(+.f64 x (*.f64 z (sin.f64 y)))
	55.3%	(.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
	11.8%	(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) (.f64 (.f64 x (cos.f64 y)) z)) #s(literal 3 binary64))))))
	37.7%	(*.f64 z (sin.f64 y))
	63.9%	(*.f64 x (cos.f64 y))
▶	40.3%	x

Compiler

Compiled 804 to 384 computations (52.2% saved)

simplify297.0ms (2.8%)

Memory

1.1MiB live, 473.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	14528	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	128	(+.f64 x (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(.f64 (.f64 z y) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z)
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Rules

9 862×	`accelerator-lowering-fma.f32`
9 862×	`accelerator-lowering-fma.f64`
3 798×	`-lowering-.f32`
3 798×	`-lowering-.f64`
1 570×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	283
1	105	283
2	277	283
3	623	282
4	1593	282
5	3791	270
6	6764	270
0	8354	253

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (sin y) z) (* x (cos y)))
(sin y)
y
z
(* x (cos y))
x
(cos y)
x
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
y
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)
(+ (* x -1/2) (* (* z y) -1/6))
x
-1/2
(* (* z y) -1/6)
(* z y)
z
-1/6
(+ x (* z (sin y)))
x
(* z (sin y))
z
(sin y)
y
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
x
(/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))
(* x (+ 1/2 (* 1/2 (cos (+ y y)))))
(+ 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
z
(sin y)
(neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))
(* z z)
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))
(- 1/2 (* 1/2 (cos (+ y y))))

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

localize229.0ms (2.1%)

Memory

4.5MiB live, 451.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	95.6%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	75.7%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	72.7%	(.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓	accuracy	100.0%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z)
✓	accuracy	99.5%	(.f64 (.f64 z y) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))

Samples

91.0ms	77×	1	valid
50.0ms	134×	0	valid
32.0ms	43×	2	valid
2.0ms	2×	3	valid

Compiler

Compiled 278 to 37 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-cos: 40.0ms (27.3% of total)

ival-sin: 35.0ms (23.9% of total)

ival-mult: 31.0ms (21.2% of total)

ival-add: 12.0ms (8.2% of total)

adjust: 11.0ms (7.5% of total)

const: 5.0ms (3.4% of total)

ival-div: 5.0ms (3.4% of total)

ival-sub: 4.0ms (2.7% of total)

ival-neg: 3.0ms (2% of total)

exact: 0.0ms (0% of total)

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

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

series54.0ms (0.5%)

Memory

-17.6MiB live, 98.7MiB allocated

Counts

16 → 444

Calls

Call 1

Inputs
#<alt (+ (* (sin y) z) (* x (cos y)))>
#<alt (sin y)>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)>
#<alt (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)>
#<alt (+ (* x -1/2) (* (* z y) -1/6))>
#<alt (* (* z y) -1/6)>
#<alt (+ x (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))>
#<alt (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))>

Outputs
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt z>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))>
#<alt (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))>
#<alt (+ z (* -1/6 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (* -1/2 (* x y))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1/2 (* x y))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (* -1/6 (* y z))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/6 (* y z))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* -1/6 (* y z))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/6 (* y z))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* -1/6 (* y z))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* -1/6 (* y z))>
#<alt (* z (sin y))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (sin y)) x)))>
#<alt (* x (+ 1 (/ (* z (sin y)) x)))>
#<alt (* x (+ 1 (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))>
#<alt x>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (+ x (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ x z)))>
#<alt (* z (+ (sin y) (/ x z)))>
#<alt (* z (+ (sin y) (/ x z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))>
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#<alt (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))>
#<alt (* -1 (/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* -1 (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))>
#<alt (* (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)))>
#<alt (* (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)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (/ (pow y 2) x)>
#<alt (* (pow y 2) (+ (/ 1 x) (/ (* y z) (pow x 2))))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) (* -1 (/ z (pow x 2))))) (/ 1 x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/3 (/ 1 x))))) (* -1 (/ z (pow x 2))))) (/ 1 x)))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (/ (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* x (cos y)) (* z (sin y))))>
#<alt (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))))>
#<alt (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* x (- (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))>
#<alt (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 4) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 3) (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))>
#<alt (/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 (cos y))) (/ (* (pow z 3) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))) x)>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))>
#<alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))>
#<alt (- (+ (* 1/2 (/ 1 (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))>
#<alt (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))>
#<alt (- (+ (* z (- (* z (- (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))>
#<alt (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))>
#<alt (/ (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))) (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))) z)>
#<alt (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))))>
#<alt (* -1 (/ (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z))>

Calls

111 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
4.0ms	x	@	0	(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
4.0ms	x	@	0	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
2.0ms	y	@	-inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
2.0ms	z	@	inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))

rewrite570.0ms (5.3%)

Memory

36.4MiB live, 784.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 692×	`/-lowering-/.f32`
5 692×	`/-lowering-/.f64`
4 854×	`-lowering-.f32`
4 854×	`-lowering-.f64`
4 080×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	230	135
2	2021	135
0	8819	126

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 156

Calls

Call 1

Inputs
(+ (* (sin y) z) (* x (cos y)))
(sin y)
(* x (cos y))
(cos y)
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)
(+ (* x -1/2) (* (* z y) -1/6))
(* (* z y) -1/6)
(+ x (* z (sin y)))
(* z (sin y))
(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))))
(- 1/2 (* 1/2 (cos (+ y y))))
(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y)))))
(/ (- 1/2 (* 1/2 (cos (+ y y)))) (- (* x (cos y)) (* z (sin y))))

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))) (neg.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))))
(+.f64 (neg.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))) (.f64 x (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))))
(-.f64 (.f64 x (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))) (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
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simplify494.0ms (4.6%)

Memory

2.2MiB live, 714.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 956×	`-lowering-.f32`
6 956×	`-lowering-.f64`
6 894×	`accelerator-lowering-fma.f32`
6 894×	`accelerator-lowering-fma.f64`
4 000×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1020	9971
1	3611	9840
0	8245	9421

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval323.0ms (3%)

Memory: 29.5MiB live, 641.2MiB allocated
Compiler: Compiled 101 034 to 3 884 computations (96.2% saved)

prune261.0ms (2.4%)

Memory

-49.3MiB live, 530.5MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1 743	26	1 769
Fresh	6	4	10
Picked	3	2	5
Done	0	0	0
Total	1 752	32	1 784

Accuracy

100.0%

Counts

1 784 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(fma.f64 (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	75.3%	(fma.f64 (sin.f64 y) z x)
	86.6%	(fma.f64 (neg.f64 z) (/.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 x (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
▶	52.1%	(fma.f64 z y x)
	39.4%	(fma.f64 y (fma.f64 y (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y z)))) z) x)
	51.5%	(fma.f64 y (fma.f64 y (.f64 (.f64 y z) #s(literal -1/6 binary64)) z) x)
▶	41.9%	(fma.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z) x)
	38.9%	(fma.f64 y (/.f64 (-.f64 (.f64 z z) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 y y)))) (-.f64 z (.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) x)
	39.0%	(fma.f64 y (/.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) x)
	39.0%	(fma.f64 y (.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)))) x)
	38.3%	(fma.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) y) x)
	99.3%	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	51.4%	(fma.f64 x (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
	39.1%	(fma.f64 x (/.f64 (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	51.4%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 (.f64 (.f64 y z) (*.f64 y z)) (neg.f64 x)))
	38.3%	(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
	30.1%	(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) x) (*.f64 x x)))
	32.6%	(/.f64 (.f64 (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x))) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x)))
	25.4%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
	63.7%	(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	51.3%	(+.f64 x (.f64 z (fma.f64 y (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
	69.3%	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
	88.6%	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
	44.2%	(.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 x z))))
	37.7%	(*.f64 z (sin.f64 y))
	15.2%	(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
▶	63.5%	(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
▶	63.9%	(*.f64 x (cos.f64 y))
	3.1%	(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
✓	40.3%	x

Compiler

Compiled 1 509 to 770 computations (49% saved)

simplify384.0ms (3.6%)

Memory

30.4MiB live, 511.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓	cost-diff	0	(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓	cost-diff	7104	(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(fma.f64 z #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
✓	cost-diff	0	(fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z)
✓	cost-diff	0	(fma.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z) x)
✓	cost-diff	704	(.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
✓	cost-diff	0	(fma.f64 z y x)
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))

Rules

11 704×	`accelerator-lowering-fma.f32`
11 704×	`accelerator-lowering-fma.f64`
5 154×	`-lowering-.f32`
5 154×	`-lowering-.f64`
1 778×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	178
1	77	178
2	162	178
3	359	166
4	759	166
5	1243	166
6	2446	166
7	3832	166
8	4236	166
9	4630	166
10	4940	166
11	5480	166
12	6269	166
13	7480	166
0	8016	153

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize133.0ms (1.2%)

Memory

-24.7MiB live, 214.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
✓	accuracy	99.8%	(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓	accuracy	99.7%	(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓	accuracy	99.3%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z) x)
✓	accuracy	100.0%	(fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z)
✓	accuracy	99.7%	(fma.f64 z #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
✓	accuracy	91.3%	(.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y)))
✓	accuracy	100.0%	(fma.f64 z y x)
✓	accuracy	99.9%	(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))

Samples

75.0ms

256×

valid

Compiler

Compiled 171 to 35 computations (79.5% saved)

Precisions

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

ival-mult: 20.0ms (35.1% of total)

ival-cos: 10.0ms (17.6% of total)

ival-div: 8.0ms (14% of total)

ival-add: 8.0ms (14% of total)

ival-sin: 6.0ms (10.5% of total)

const: 4.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory

8.1MiB live, 44.1MiB allocated

Counts

16 → 408

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y)))))>
#<alt (/ 1 (+ (* z (sin y)) (* x (cos y))))>
#<alt (+ (* z (sin y)) (* x (cos y)))>
#<alt (sin y)>
#<alt (+ (* z y) x)>
#<alt (* y (+ (* z -1/6) (/ (* x -1/2) y)))>
#<alt (+ (* y (+ (* y (* y (+ (* z -1/6) (/ (* x -1/2) y)))) z)) x)>
#<alt (+ (* y (* y (+ (* z -1/6) (/ (* x -1/2) y)))) z)>
#<alt (+ (* z -1/6) (/ (* x -1/2) y))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))>
#<alt (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))>
#<alt (/ (cos (* y -2)) (cos y))>
#<alt (cos (* y -2))>
#<alt (/ 1/2 (cos y))>

Outputs
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))>
#<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))))>
#<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))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (+ (/ 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)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1 (* z (sin y)))>
#<alt (* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (+ (* 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))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))>
#<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))>
#<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))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/6 (* y z))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* -1/6 (* y z))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/6 (* y z))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* -1/6 y)))>
#<alt (* -1/6 (* y z))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1/6 (* y z))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* -1/6 (* y z)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* -1/6 (/ (* y z) x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))>
#<alt z>
#<alt (+ z (* -1/2 (* x y)))>
#<alt (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))>
#<alt (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))>
#<alt (* -1/2 (* x y))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))>
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))>
#<alt (+ z (* -1/6 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))>
#<alt (* -1/2 (* x y))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))>
#<alt (* -1/2 (/ x y))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (* z (- (* -1/2 (/ x (* y z))) 1/6))>
#<alt (* z (- (* -1/2 (/ x (* y z))) 1/6))>
#<alt (* z (- (* -1/2 (/ x (* y z))) 1/6))>
#<alt (* -1/6 z)>
#<alt (* -1 (* z (+ 1/6 (* 1/2 (/ x (* y z))))))>
#<alt (* -1 (* z (+ 1/6 (* 1/2 (/ x (* y z))))))>
#<alt (* -1 (* z (+ 1/6 (* 1/2 (/ x (* y z))))))>
#<alt (* -1/6 z)>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (* -1/2 (/ x y))>
#<alt (* x (- (* -1/6 (/ z x)) (* 1/2 (/ 1 y))))>
#<alt (* x (- (* -1/6 (/ z x)) (* 1/2 (/ 1 y))))>
#<alt (* x (- (* -1/6 (/ z x)) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ x y))>
#<alt (* -1 (* x (+ (* 1/6 (/ z x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 1/6 (/ z x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 1/6 (/ z x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1/2 (/ x y))>
#<alt (/ (+ (* -1/2 x) (* -1/6 (* y z))) y)>
#<alt (/ (+ (* -1/2 x) (* -1/6 (* y z))) y)>
#<alt (/ (+ (* -1/2 x) (* -1/6 (* y z))) y)>
#<alt (* -1/6 z)>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (+ (* -1/2 (/ x y)) (* -1/6 z))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))>
#<alt (+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>

Calls

102 calls:

Time	Variable		Point	Expression
16.0ms	y	@	0	(/ 1/2 (cos y))
6.0ms	y	@	inf	(/ 1 (+ (* z (sin y)) (* x (cos y))))
2.0ms	x	@	0	(* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
2.0ms	x	@	-inf	(/ 1 (+ (* z (sin y)) (* x (cos y))))
1.0ms	y	@	inf	(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))

rewrite386.0ms (3.6%)

Memory

1.9MiB live, 674.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 760×	`accelerator-lowering-fma.f32`
4 760×	`accelerator-lowering-fma.f64`
4 400×	`-lowering-.f32`
4 400×	`-lowering-.f64`
4 130×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	141
1	181	141
2	1531	141
0	8153	128

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 549

Calls

Call 1

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

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

simplify399.0ms (3.7%)

Memory

15.4MiB live, 579.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 102×	`accelerator-lowering-fma.f32`
8 102×	`accelerator-lowering-fma.f64`
6 862×	`-lowering-.f32`
6 862×	`-lowering-.f64`
1 958×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	487	4506
1	1568	4418
2	5289	4394
0	8197	4054

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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) (/ (* 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)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos 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) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* 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)))))
(/ 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 (/ (* 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 (/ (- (/ (* 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 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 (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 (+ (* 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 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* x (cos y))
(+ (* 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))
(* -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)))))))
(+ (* 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)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos 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) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* 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)))))
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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x 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)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1/2 x)
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* -1/6 (* y z))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* -1/6 (* y z))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1/2 x)
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* -1/6 (* y z))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* -1/6 (* y z))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1/6 (* y z))
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Outputs
(* x (cos y))
(*.f64 x (cos.f64 y))
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(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -3/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 5/48 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 61/1440 binary64) #s(literal 5/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

eval149.0ms (1.4%)

Memory: 8.3MiB live, 369.1MiB allocated
Compiler: Compiled 25 367 to 2 238 computations (91.2% saved)

prune146.0ms (1.4%)

Memory

-33.3MiB live, 421.7MiB allocated

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	1 000	22	1 022
Fresh	10	15	25
Picked	2	3	5
Done	0	2	2
Total	1 012	42	1 054

Accuracy

100.0%

Counts

1 054 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(fma.f64 (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (.f64 x #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
	38.1%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
	38.1%	(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
	44.2%	(fma.f64 (*.f64 x y) (/.f64 z x) x)
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	75.3%	(fma.f64 (sin.f64 y) z x)
	86.6%	(fma.f64 (neg.f64 z) (/.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 x (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
✓	52.1%	(fma.f64 z y x)
	51.5%	(fma.f64 y (fma.f64 y (.f64 (.f64 y z) #s(literal -1/6 binary64)) z) x)
	38.9%	(fma.f64 y (/.f64 (-.f64 (.f64 z z) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 y y)))) (-.f64 z (.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) x)
	38.3%	(fma.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) y) x)
▶	99.3%	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	38.3%	(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
	54.6%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	63.5%	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) x) (cos.f64 y) (.f64 (cos.f64 y) (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
	30.1%	(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) x) (*.f64 x x)))
	33.6%	(/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x))
	25.4%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
	63.7%	(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
▶	33.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
	52.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
	63.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	51.3%	(+.f64 x (.f64 z (fma.f64 y (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
	69.3%	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
	2.9%	(.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (.f64 z #s(literal -1/6 binary64))) (.f64 y (.f64 y y)))
	33.5%	(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
	44.4%	(.f64 (neg.f64 z) (-.f64 (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))) x) z)))
▶	88.6%	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
	3.1%	(.f64 z (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
	37.7%	(*.f64 z (sin.f64 y))
	15.2%	(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
	43.6%	(*.f64 y (+.f64 z (/.f64 x y)))
	11.9%	(.f64 y (.f64 (.f64 y y) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y)))) (/.f64 x (.f64 y (.f64 y y))))))
▶	15.7%	(*.f64 y z)
	38.1%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	38.1%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	63.5%	(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
	28.0%	(.f64 x (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y))))
✓	63.9%	(*.f64 x (cos.f64 y))
▶	47.1%	(neg.f64 (*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))))
✓	40.3%	x

Compiler

Compiled 1 413 to 821 computations (41.9% saved)

simplify239.0ms (2.2%)

Memory

24.3MiB live, 374.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(/.f64 (cos.f64 y) z)
✓	cost-diff	0	(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓	cost-diff	704	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 z (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 (neg.f64 z) x)
✓	cost-diff	0	(fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))
✓	cost-diff	256	(neg.f64 (*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))))
✓	cost-diff	1024	(*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓	cost-diff	13888	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))

Rules

5 252×	`accelerator-lowering-fma.f32`
5 252×	`accelerator-lowering-fma.f64`
3 576×	`-lowering-.f32`
3 576×	`-lowering-.f64`
1 518×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	225
1	102	223
2	290	208
3	698	199
4	2258	199
5	4279	199
6	6671	199
0	8330	187

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
x
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
1/2
(cos (* y -2))
(* y -2)
y
-2
(cos y)
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))
(* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))
(* z (sin y))
z
(sin y)
(pow (cos y) 2)
2
(* y z)
y
z
(neg (* x (+ (* y (/ (neg z) x)) -1)))
(* x (+ (* y (/ (neg z) x)) -1))
x
(+ (* y (/ (neg z) x)) -1)
y
(/ (neg z) x)
(neg z)
z
-1
(/ 1 (+ (* (/ z (* x x)) (neg y)) (/ 1 x)))
1
(+ (* (/ z (* x x)) (neg y)) (/ 1 x))
(/ z (* x x))
z
(* x x)
x
(neg y)
y
(/ 1 x)
(* z (+ (* x (/ (cos y) z)) (sin y)))
z
(+ (* x (/ (cos y) z)) (sin y))
x
(/ (cos y) z)
(cos y)
y
(sin y)

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

localize156.0ms (1.5%)

Memory

3.2MiB live, 236.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓	accuracy	99.8%	(/.f64 (cos.f64 y) z)
✓	accuracy	88.7%	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	94.0%	(fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	86.6%	(/.f64 z (*.f64 x x))
✓	accuracy	100.0%	(neg.f64 (*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	96.2%	(fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))
✓	accuracy	90.0%	(*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.7%	(/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓	accuracy	99.5%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

110.0ms

256×

valid

Compiler

Compiled 213 to 41 computations (80.8% saved)

Precisions

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

ival-div: 21.0ms (30.8% of total)

ival-mult: 19.0ms (27.8% of total)

ival-cos: 11.0ms (16.1% of total)

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

ival-add: 5.0ms (7.3% of total)

ival-neg: 3.0ms (4.4% of total)

ival-pow2: 2.0ms (2.9% of total)

exact: 1.0ms (1.5% of total)

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

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

series64.0ms (0.6%)

Memory

-14.6MiB live, 106.0MiB allocated

Counts

21 → 504

Calls

Call 1

Inputs
#<alt (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))>
#<alt (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))>
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)>
#<alt (cos (* y -2))>
#<alt (* y z)>
#<alt (* x (+ (* y (/ (neg z) x)) -1))>
#<alt (neg (* x (+ (* y (/ (neg z) x)) -1)))>
#<alt (+ (* y (/ (neg z) x)) -1)>
#<alt (/ (neg z) x)>
#<alt (+ (* (/ z (* x x)) (neg y)) (/ 1 x))>
#<alt (/ 1 (+ (* (/ z (* x x)) (neg y)) (/ 1 x)))>
#<alt (/ z (* x x))>
#<alt (* x x)>
#<alt (* z (+ (* x (/ (cos y) z)) (sin y)))>
#<alt (+ (* x (/ (cos y) z)) (sin y))>
#<alt (/ (cos y) z)>
#<alt (cos y)>
#<alt (pow (cos y) 2)>
#<alt (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))>
#<alt (neg z)>
#<alt (neg y)>

Outputs
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
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#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>

Calls

126 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(/ 1 (+ (* (/ z (* x x)) (neg y)) (/ 1 x)))
9.0ms	z	@	0	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms	y	@	inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms	y	@	-inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
1.0ms	x	@	0	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))

rewrite536.0ms (5%)

Memory

40.5MiB live, 630.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 060×	`/-lowering-/.f32`
5 060×	`/-lowering-/.f64`
5 014×	`-lowering-.f32`
5 014×	`-lowering-.f64`
3 868×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	177
1	214	175
2	1786	171
0	8629	160

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 813

Calls

Call 1

Inputs
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
(+ (* 1/2 (cos (* y -2))) 1/2)
(cos (* y -2))
(* y z)
(* x (+ (* y (/ (neg z) x)) -1))
(neg (* x (+ (* y (/ (neg z) x)) -1)))
(+ (* y (/ (neg z) x)) -1)
(/ (neg z) x)
(+ (* (/ z (* x x)) (neg y)) (/ 1 x))
(/ 1 (+ (* (/ z (* x x)) (neg y)) (/ 1 x)))
(/ z (* x x))
(* x x)
(* z (+ (* x (/ (cos y) z)) (sin y)))
(+ (* x (/ (cos y) z)) (sin y))
(/ (cos y) z)
(cos y)
(pow (cos y) 2)
(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))
(neg z)
(neg y)

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

simplify569.0ms (5.3%)

Memory

30.9MiB live, 556.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 508×	`-lowering-.f32`
5 508×	`-lowering-.f64`
5 360×	`accelerator-lowering-fma.f32`
5 360×	`accelerator-lowering-fma.f64`
2 464×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	4910
1	1464	4792
2	4366	4720
0	8087	4425

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
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)))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y z))
(+ (* -1 x) (* -1 (* y z)))
(+ (* -1 x) (* -1 (* y z)))
(+ (* -1 x) (* -1 (* y z)))
(* -1 x)
(* x (- (* -1 (/ (* y z) x)) 1))
(* x (- (* -1 (/ (* y z) x)) 1))
(* x (- (* -1 (/ (* y z) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ (* y z) x))))
(* -1 (* x (+ 1 (/ (* y z) x))))
(* -1 (* x (+ 1 (/ (* y z) x))))
(* -1 x)
(+ (* -1 x) (* -1 (* y z)))
(+ (* -1 x) (* -1 (* y z)))
(+ (* -1 x) (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (/ x y))))
(* y (+ (* -1 z) (* -1 (/ x y))))
(* y (+ (* -1 z) (* -1 (/ x y))))
(* -1 (* y z))
(* -1 (* y (+ z (/ x y))))
(* -1 (* y (+ z (/ x y))))
(* -1 (* y (+ z (/ x y))))
(* -1 x)
(+ (* -1 x) (* -1 (* y z)))
(+ (* -1 x) (* -1 (* y z)))
(+ (* -1 x) (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (* -1 (/ x z))))
(* z (+ (* -1 y) (* -1 (/ x z))))
(* z (+ (* -1 y) (* -1 (/ x z))))
(* -1 (* y z))
(* -1 (* z (+ y (/ x z))))
(* -1 (* z (+ y (/ x z))))
(* -1 (* z (+ y (/ x z))))
(* y z)
(- x (* -1 (* y z)))
(- x (* -1 (* y z)))
(- x (* -1 (* y z)))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
x
(- (* y z) (* -1 x))
(- (* y z) (* -1 x))
(- (* y z) (* -1 x))
(* y z)
(* y (- (/ x y) (* -1 z)))
(* y (- (/ x y) (* -1 z)))
(* y (- (/ x y) (* -1 z)))
(* y z)
(* -1 (* y (- (* -1 (/ x y)) z)))
(* -1 (* y (- (* -1 (/ x y)) z)))
(* -1 (* y (- (* -1 (/ x y)) z)))
x
(- (* y z) (* -1 x))
(- (* y z) (* -1 x))
(- (* y z) (* -1 x))
(* y z)
(* z (- (/ x z) (* -1 y)))
(* z (- (/ x z) (* -1 y)))
(* z (- (/ x z) (* -1 y)))
(* y z)
(* -1 (* z (- (* -1 (/ x z)) y)))
(* -1 (* z (- (* -1 (/ x z)) y)))
(* -1 (* z (- (* -1 (/ x z)) y)))
-1
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(* -1 (/ (* y z) x))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(* -1 (/ (* y z) x))
(* -1 (* y (+ (/ 1 y) (/ z x))))
(* -1 (* y (+ (/ 1 y) (/ z x))))
(* -1 (* y (+ (/ 1 y) (/ z x))))
-1
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(* -1 (/ (* y z) x))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(* -1 (/ (* y z) x))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(* -1 (/ (* y z) x))
(/ (+ (* -1 x) (* -1 (* y z))) x)
(/ (+ (* -1 x) (* -1 (* y z))) x)
(/ (+ (* -1 x) (* -1 (* y z))) x)
-1
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
-1
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(* -1 (/ (* y z) (pow x 2)))
(* z (+ (* -1 (/ y (pow x 2))) (/ 1 (* x z))))
(* z (+ (* -1 (/ y (pow x 2))) (/ 1 (* x z))))
(* z (+ (* -1 (/ y (pow x 2))) (/ 1 (* x z))))
(* -1 (/ (* y z) (pow x 2)))
(* -1 (* z (- (/ y (pow x 2)) (/ 1 (* x z)))))
(* -1 (* z (- (/ y (pow x 2)) (/ 1 (* x z)))))
(* -1 (* z (- (/ y (pow x 2)) (/ 1 (* x z)))))
(* -1 (/ (* y z) (pow x 2)))
(/ (+ x (* -1 (* y z))) (pow x 2))
(/ (+ x (* -1 (* y z))) (pow x 2))
(/ (+ x (* -1 (* y z))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y z) x))) x)
(/ (+ 1 (* -1 (/ (* y z) x))) x)
(/ (+ 1 (* -1 (/ (* y z) x))) x)
(/ 1 x)
(* -1 (/ (- (/ (* y z) x) 1) x))
(* -1 (/ (- (/ (* y z) x) 1) x))
(* -1 (/ (- (/ (* y z) x) 1) x))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(* -1 (/ (* y z) (pow x 2)))
(* y (+ (* -1 (/ z (pow x 2))) (/ 1 (* x y))))
(* y (+ (* -1 (/ z (pow x 2))) (/ 1 (* x y))))
(* y (+ (* -1 (/ z (pow x 2))) (/ 1 (* x y))))
(* -1 (/ (* y z) (pow x 2)))
(* -1 (* y (- (/ z (pow x 2)) (/ 1 (* x y)))))
(* -1 (* y (- (/ z (pow x 2)) (/ 1 (* x y)))))
(* -1 (* y (- (/ z (pow x 2)) (/ 1 (* x y)))))
x
(+ x (* y z))
(+ x (* z (- (/ (* (pow y 2) z) x) (* -1 y))))
(+ x (* z (- (* z (- (/ (* (pow y 3) z) (pow x 2)) (* -1 (/ (pow y 2) x)))) (* -1 y))))
(* -1 (/ (pow x 2) (* y z)))
(/ (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (* (pow y 2) z)))) z)
(/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 2))))) (/ (pow x 3) (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 3))))) (+ (/ (pow x 3) (* (pow y 2) z)) (/ (pow x 4) (* (pow y 3) (pow z 2))))) z)
(* -1 (/ (pow x 2) (* y z)))
(* -1 (/ (+ (/ (pow x 2) y) (/ (pow x 3) (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) (* (pow y 3) z))) (/ (pow x 3) (pow y 2))) z)) (/ (pow x 2) y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) (* (pow y 4) z)) (* -1 (/ (pow x 4) (pow y 3)))) z)) (/ (pow x 3) (pow y 2))) z)) (/ (pow x 2) y)) z))
(* -1 (/ (pow x 2) (* y z)))
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z))))
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))))
x
(* x (+ 1 (/ (* y z) x)))
(* x (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))))
(* x (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1)))
x
(+ x (* y z))
(+ x (* y (- (/ (* y (pow z 2)) x) (* -1 z))))
(+ x (* y (- (* y (- (/ (* y (pow z 3)) (pow x 2)) (* -1 (/ (pow z 2) x)))) (* -1 z))))
(* -1 (/ (pow x 2) (* y z)))
(/ (+ (* -1 (/ (pow x 2) z)) (* -1 (/ (pow x 3) (* y (pow z 2))))) y)
(/ (- (+ (* -1 (/ (pow x 2) z)) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 3))))) (/ (pow x 3) (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ (pow x 2) z)) (* -1 (/ (pow x 5) (* (pow y 3) (pow z 4))))) (+ (/ (pow x 3) (* y (pow z 2))) (/ (pow x 4) (* (pow y 2) (pow z 3))))) y)
(* -1 (/ (pow x 2) (* y z)))
(* -1 (/ (+ (/ (pow x 2) z) (/ (pow x 3) (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) (* y (pow z 3)))) (/ (pow x 3) (pow z 2))) y)) (/ (pow x 2) z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) (* y (pow z 4))) (* -1 (/ (pow x 4) (pow z 3)))) y)) (/ (pow x 3) (pow z 2))) y)) (/ (pow x 2) z)) y))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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))
(* -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 (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)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* 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 (cos y)) z)))
(* 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 (cos y)) z)))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(/ x z)
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x 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)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ (* x (cos y)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(+ (sin y) (/ (* x (cos y)) z))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos 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)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
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 (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* y z)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)

Outputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x)
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(.f64 z (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (*.f64 z (cos.f64 y)))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
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(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(/ (* x (cos y)) z)
(*.f64 (cos.f64 y) (/.f64 x z))
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) z)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (/.f64 #s(literal 1/24 binary64) z)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/720 binary64) z) (/.f64 #s(literal 1/24 binary64) z)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* y z)
(*.f64 z y)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 61/120 binary64) (fma.f64 z #s(literal -1/6 binary64) (.f64 z #s(literal -1/3 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 61/120 binary64) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -547/5040 binary64)) (fma.f64 z #s(literal -2/45 binary64) (fma.f64 z #s(literal -1/18 binary64) (fma.f64 z #s(literal -61/120 binary64) (fma.f64 z #s(literal 1/6 binary64) (.f64 z #s(literal 1/3 binary64))))))) (fma.f64 z #s(literal -1/6 binary64) (.f64 z #s(literal -1/3 binary64))))) (.f64 z #s(literal -1/6 binary64))) z))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval350.0ms (3.3%)

Memory: -25.9MiB live, 469.6MiB allocated
Compiler: Compiled 36 659 to 3 156 computations (91.4% saved)

prune486.0ms (4.5%)

Memory

3.4MiB live, 551.4MiB allocated

Pruning

53 alts after pruning (47 fresh and 6 done)

	Pruned	Kept	Total
New	1 387	19	1 406
Fresh	4	28	32
Picked	3	2	5
Done	1	4	5
Total	1 395	53	1 448

Accuracy

100.0%

Counts

1 448 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(fma.f64 (/.f64 (cos.f64 y) z) (.f64 x z) (.f64 z (sin.f64 y)))
	38.1%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
	38.1%	(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
	44.2%	(fma.f64 (*.f64 y x) (/.f64 z x) x)
	75.9%	(fma.f64 (sin.f64 y) z (/.f64 (.f64 z (.f64 x (cos.f64 y))) z))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	75.3%	(fma.f64 (sin.f64 y) z x)
✓	52.1%	(fma.f64 z y x)
	51.5%	(fma.f64 y (fma.f64 y (.f64 (.f64 y z) #s(literal -1/6 binary64)) z) x)
	38.9%	(fma.f64 y (/.f64 (-.f64 (.f64 z z) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 y y)))) (-.f64 z (.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) x)
	38.3%	(fma.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) y) x)
	99.4%	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	38.3%	(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
	54.6%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	63.5%	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) x) (cos.f64 y) (.f64 (cos.f64 y) (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
	30.1%	(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) x) (*.f64 x x)))
	33.6%	(/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x))
	34.4%	(/.f64 (.f64 (neg.f64 x) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
	25.4%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
	63.7%	(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
	15.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x z) (.f64 x (neg.f64 y))) (.f64 x (/.f64 (*.f64 x x) z))))
	23.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z y)) (.f64 x x)))
	3.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (neg.f64 (.f64 x x))))
	52.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
	63.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	27.5%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 z (.f64 z x)) (/.f64 (.f64 z y) (*.f64 x x))))
	51.3%	(+.f64 x (.f64 z (fma.f64 y (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
	69.3%	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
	2.9%	(.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (.f64 z #s(literal -1/6 binary64))) (.f64 y (.f64 y y)))
	33.5%	(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
	44.4%	(.f64 (neg.f64 z) (-.f64 (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))) x) z)))
✓	88.6%	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
	88.6%	(*.f64 z (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (sin.f64 y)))
	88.6%	(.f64 z (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (sin.f64 y)))
	34.0%	(*.f64 z (/.f64 x z))
	88.7%	(.f64 z (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	52.8%	(.f64 z (.f64 (cos.f64 y) (/.f64 x z)))
	88.5%	(.f64 z (.f64 x (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
	3.1%	(.f64 z (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
	37.7%	(*.f64 z (sin.f64 y))
	15.2%	(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
	43.6%	(*.f64 y (+.f64 z (/.f64 x y)))
	11.9%	(.f64 y (.f64 (.f64 y y) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y)))) (/.f64 x (.f64 y (.f64 y y))))))
✓	15.7%	(*.f64 y z)
	38.1%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	38.1%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	63.9%	(*.f64 x (cos.f64 y))
	3.0%	(neg.f64 (/.f64 (.f64 x x) (.f64 z y)))
	50.8%	(neg.f64 (.f64 x (fma.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))
	47.1%	(neg.f64 (.f64 x (fma.f64 y (.f64 z (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
	10.7%	(neg.f64 (.f64 x (.f64 y (/.f64 (neg.f64 z) x))))
✓	40.3%	x

Compiler

Compiled 2 419 to 861 computations (64.4% saved)

regimes104.0ms (1%)

Memory

17.6MiB live, 250.4MiB allocated

Counts

83 → 1

Calls

Call 1

Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
(fma.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) y) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (.f64 (.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(neg.f64 (/.f64 (.f64 x x) (.f64 z y)))
(neg.f64 (.f64 x (.f64 y (/.f64 (neg.f64 z) x))))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)
(neg.f64 (.f64 x (fma.f64 y (.f64 z (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(neg.f64 (.f64 x (fma.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (neg.f64 (.f64 x x))))
(+.f64 x (.f64 z (fma.f64 y (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z y)) (.f64 x x)))
(.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (.f64 z #s(literal -1/6 binary64))) (.f64 y (.f64 y y)))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z) x)
(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 z (.f64 z x)) (/.f64 (.f64 z y) (*.f64 x x))))
(.f64 (neg.f64 z) (-.f64 (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))) x) z)))
(.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x z) (.f64 x (neg.f64 y))) (.f64 x (/.f64 (*.f64 x x) z))))
(/.f64 (.f64 (neg.f64 x) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y z)))) z) x)
(.f64 y (.f64 (.f64 y y) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y)))) (/.f64 x (.f64 y (.f64 y y))))))
(fma.f64 y (/.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) x)
(fma.f64 y (/.f64 (-.f64 (.f64 z z) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 y y)))) (-.f64 z (.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) x)
(fma.f64 y (.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)))) x)
(/.f64 (.f64 (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x))) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x)))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(fma.f64 (sin.f64 y) z x)
(+.f64 x (*.f64 z (sin.f64 y)))
(.f64 z (.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(.f64 z (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(.f64 z (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (sin.f64 y)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(fma.f64 (sin.f64 y) z (/.f64 (.f64 z (.f64 x (cos.f64 y))) z))
(fma.f64 (/.f64 (cos.f64 y) z) (.f64 x z) (.f64 z (sin.f64 y)))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(*.f64 z (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(.f64 z (.f64 x (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(fma.f64 (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (.f64 x #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 (.f64 (.f64 y z) (*.f64 y z)) (neg.f64 x)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) x) (cos.f64 y) (.f64 (cos.f64 y) (.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(.f64 x (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fma.f64 x (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
(fma.f64 (neg.f64 z) (/.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 x (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 x (/.f64 (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.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 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))
(.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) (.f64 (.f64 x (cos.f64 y)) z)) #s(literal 3 binary64))))))

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

Calls

4 calls:

29.0ms	z
24.0ms	y
23.0ms	x
23.0ms	(+.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 24 to 17 computations (29.2% saved)

regimes71.0ms (0.7%)

Memory

-26.7MiB live, 189.5MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
(fma.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) y) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (.f64 (.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(neg.f64 (/.f64 (.f64 x x) (.f64 z y)))
(neg.f64 (.f64 x (.f64 y (/.f64 (neg.f64 z) x))))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)
(neg.f64 (.f64 x (fma.f64 y (.f64 z (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(neg.f64 (.f64 x (fma.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (neg.f64 (.f64 x x))))
(+.f64 x (.f64 z (fma.f64 y (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z y)) (.f64 x x)))
(.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (.f64 z #s(literal -1/6 binary64))) (.f64 y (.f64 y y)))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z) x)
(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 z (.f64 z x)) (/.f64 (.f64 z y) (*.f64 x x))))
(.f64 (neg.f64 z) (-.f64 (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))) x) z)))
(.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x z) (.f64 x (neg.f64 y))) (.f64 x (/.f64 (*.f64 x x) z))))
(/.f64 (.f64 (neg.f64 x) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y z)))) z) x)
(.f64 y (.f64 (.f64 y y) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y)))) (/.f64 x (.f64 y (.f64 y y))))))
(fma.f64 y (/.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) x)
(fma.f64 y (/.f64 (-.f64 (.f64 z z) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 y y)))) (-.f64 z (.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) x)
(fma.f64 y (.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)))) x)
(/.f64 (.f64 (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x))) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x)))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(fma.f64 (sin.f64 y) z x)
(+.f64 x (*.f64 z (sin.f64 y)))
(.f64 z (.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))

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

Calls

4 calls:

24.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	y
15.0ms	x
15.0ms	z

Results

Accuracy	Segments	Branch
87.5%	3	`x`
81.3%	3	`y`
88.0%	3	`z`
77.8%	2	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes56.0ms (0.5%)

Memory

-3.4MiB live, 156.1MiB allocated

Counts

47 → 4

Calls

Call 1

Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
(fma.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) y) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (.f64 (.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(neg.f64 (/.f64 (.f64 x x) (.f64 z y)))
(neg.f64 (.f64 x (.f64 y (/.f64 (neg.f64 z) x))))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)
(neg.f64 (.f64 x (fma.f64 y (.f64 z (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(neg.f64 (.f64 x (fma.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (neg.f64 (.f64 x x))))
(+.f64 x (.f64 z (fma.f64 y (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z y)) (.f64 x x)))
(.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (.f64 z #s(literal -1/6 binary64))) (.f64 y (.f64 y y)))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z) x)
(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 z (.f64 z x)) (/.f64 (.f64 z y) (*.f64 x x))))
(.f64 (neg.f64 z) (-.f64 (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))) x) z)))
(.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x z) (.f64 x (neg.f64 y))) (.f64 x (/.f64 (*.f64 x x) z))))
(/.f64 (.f64 (neg.f64 x) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y z)))) z) x)
(.f64 y (.f64 (.f64 y y) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y)))) (/.f64 x (.f64 y (.f64 y y))))))
(fma.f64 y (/.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) x)
(fma.f64 y (/.f64 (-.f64 (.f64 z z) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 y y)))) (-.f64 z (.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) x)
(fma.f64 y (.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)))) x)
(/.f64 (.f64 (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x))) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x)))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))

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

Calls

4 calls:

14.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	z
13.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
63.9%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
80.5%	4	`y`
76.2%	3	`x`
77.3%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes29.0ms (0.3%)

Memory

-1.9MiB live, 76.7MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
(fma.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) y) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (.f64 (.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(neg.f64 (/.f64 (.f64 x x) (.f64 z y)))
(neg.f64 (.f64 x (.f64 y (/.f64 (neg.f64 z) x))))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)
(neg.f64 (.f64 x (fma.f64 y (.f64 z (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(neg.f64 (.f64 x (fma.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (neg.f64 (.f64 x x))))
(+.f64 x (.f64 z (fma.f64 y (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z y)) (.f64 x x)))
(.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (.f64 z #s(literal -1/6 binary64))) (.f64 y (.f64 y y)))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z) x)
(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 z (.f64 z x)) (/.f64 (.f64 z y) (*.f64 x x))))
(.f64 (neg.f64 z) (-.f64 (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))) x) z)))
(.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x z) (.f64 x (neg.f64 y))) (.f64 x (/.f64 (*.f64 x x) z))))
(/.f64 (.f64 (neg.f64 x) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y z)))) z) x)
(.f64 y (.f64 (.f64 y y) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y)))) (/.f64 x (.f64 y (.f64 y y))))))
(fma.f64 y (/.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) x)
(fma.f64 y (/.f64 (-.f64 (.f64 z z) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 y y)))) (-.f64 z (.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) x)
(fma.f64 y (.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)))) x)
(/.f64 (.f64 (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x))) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x)))
(*.f64 x (cos.f64 y))

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

Calls

2 calls:

13.0ms	z
13.0ms	y

Results

Accuracy	Segments	Branch
71.3%	3	`z`
76.6%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes55.0ms (0.5%)

Memory

1.4MiB live, 119.6MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
x
(*.f64 y z)
(fma.f64 z y x)
(*.f64 z (/.f64 x z))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
(fma.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) y) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)
(*.f64 y (+.f64 z (/.f64 x y)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (fma.f64 y (.f64 (.f64 y z) #s(literal -1/6 binary64)) z) x)
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(fma.f64 (*.f64 y x) (/.f64 z x) x)
(neg.f64 (/.f64 (.f64 x x) (.f64 z y)))
(neg.f64 (.f64 x (.f64 y (/.f64 (neg.f64 z) x))))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal -1 binary64))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)
(neg.f64 (.f64 x (fma.f64 y (.f64 z (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(neg.f64 (.f64 x (fma.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (neg.f64 (.f64 x x))))
(+.f64 x (.f64 z (fma.f64 y (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z y)) (.f64 x x)))
(.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (.f64 z #s(literal -1/6 binary64))) (.f64 y (.f64 y y)))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x))
(fma.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) z) x)
(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x x)) (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 z (.f64 z x)) (/.f64 (.f64 z y) (*.f64 x x))))
(.f64 (neg.f64 z) (-.f64 (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))) x) z)))
(.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x z) (.f64 x (neg.f64 y))) (.f64 x (/.f64 (*.f64 x x) z))))
(/.f64 (.f64 (neg.f64 x) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y z)))) z) x)
(.f64 y (.f64 (.f64 y y) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y)))) (/.f64 x (.f64 y (.f64 y y))))))
(fma.f64 y (/.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) x)
(fma.f64 y (/.f64 (-.f64 (.f64 z z) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 y y)))) (-.f64 z (.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) x)
(fma.f64 y (.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)))) x)
(/.f64 (.f64 (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x))) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) (neg.f64 x)))

Outputs
(fma.f64 z y x)

Calls

4 calls:

14.0ms	z
13.0ms	y
12.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	x

Results

Accuracy	Segments	Branch
52.1%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.1%	1	`z`
52.1%	1	`x`
52.1%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
(*.f64 y z)
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.3%	1	`x`
43.9%	2	`z`
40.3%	1	`y`
40.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
40.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
40.3%	1	`z`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch32.0ms (0.3%)

Memory

-20.2MiB live, 58.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.4112330965225838e-128	2.249658056069139e-127
17.0ms	-8.859198145587219e-38	-9.175771300447697e-47

Samples

22.0ms

240×

valid

Compiler

Compiled 270 to 194 computations (28.1% saved)

Precisions

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

ival-cos: 6.0ms (40.7% of total)

ival-sin: 5.0ms (33.9% of total)

ival-mult: 3.0ms (20.4% of total)

ival-add: 1.0ms (6.8% of total)

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

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

bsearch62.0ms (0.6%)

Memory

-9.8MiB live, 113.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	3.89346605096573e+196	1.6881627271568914e+202
13.0ms	4.953075718213921e-36	3.477384901511548e-21
23.0ms	-41685130.56555358	-371.115208771129

Samples

40.0ms

448×

valid

Compiler

Compiled 463 to 331 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 11.0ms (38.9% of total)

ival-sin: 10.0ms (35.4% of total)

ival-mult: 6.0ms (21.2% of total)

ival-add: 2.0ms (7.1% of total)

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

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

bsearch33.0ms (0.3%)

Memory

28.1MiB live, 66.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.953075718213921e-36	3.477384901511548e-21
14.0ms	-371.115208771129	-2.2106142873340826e-8

Samples

20.0ms

320×

valid

Compiler

Compiled 335 to 234 computations (30.1% saved)

Precisions

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

ival-mult: 6.0ms (47.9% of total)

ival-cos: 3.0ms (24% of total)

ival-sin: 2.0ms (16% of total)

ival-add: 1.0ms (8% of total)

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

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

bsearch17.0ms (0.2%)

Memory

-5.4MiB live, 37.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-3.1524608811165258e+134	-1.363878409553005e+133

Samples

13.0ms

112×

valid

Compiler

Compiled 99 to 77 computations (22.2% saved)

Precisions

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

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

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

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

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

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

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

simplify23.0ms (0.2%)

Memory

-21.9MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	84
1	42	84

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -7070527394739557/6427752177035961102167848369364650410088811975131171341205504 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 1341376330213903/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 y #s(literal -375 binary64)) (.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 2259687592834357/664613997892457936451903530140172288 binary64)) (fma.f64 z y x) (if (<=.f64 y #s(literal 480000000000000012666163894223449049454677747704805059986728032185699340302199438424804689218224837211652175576414061806407921220788588712013910284845362071548336149969864332217833770641735032927944704 binary64)) (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -5072854620270127/1152921504606846976 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2259687592834357/664613997892457936451903530140172288 binary64)) (fma.f64 z y x) (.f64 x (cos.f64 y))))
(fma.f64 z y x)
(if (<=.f64 z #s(literal -185000000000000006656695283072465757285179138477205835393961787244443486663174134397285958344918840138200862873130662655128184461197312 binary64)) (*.f64 y z) x)
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -7070527394739557/6427752177035961102167848369364650410088811975131171341205504 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 1341376330213903/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x)))
(if (<=.f64 y #s(literal -375 binary64)) (.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 2259687592834357/664613997892457936451903530140172288 binary64)) (fma.f64 z y x) (if (<=.f64 y #s(literal 480000000000000012666163894223449049454677747704805059986728032185699340302199438424804689218224837211652175576414061806407921220788588712013910284845362071548336149969864332217833770641735032927944704 binary64)) (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -375 binary64)) (.f64 (sin.f64 y) z) (if (<=.f64 y #s(literal 2259687592834357/664613997892457936451903530140172288 binary64)) (fma.f64 z y x) (if (<=.f64 y #s(literal 480000000000000012666163894223449049454677747704805059986728032185699340302199438424804689218224837211652175576414061806407921220788588712013910284845362071548336149969864332217833770641735032927944704 binary64)) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -5072854620270127/1152921504606846976 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2259687592834357/664613997892457936451903530140172288 binary64)) (fma.f64 z y x) (.f64 x (cos.f64 y))))
(fma.f64 z y x)
(if (<=.f64 z #s(literal -185000000000000006656695283072465757285179138477205835393961787244443486663174134397285958344918840138200862873130662655128184461197312 binary64)) (*.f64 y z) x)
x

soundness890.0ms (8.3%)

Memory

-25.1MiB live, 649.5MiB allocated

Rules

14 080×	`accelerator-lowering-fma.f32`
14 080×	`accelerator-lowering-fma.f64`
11 480×	`accelerator-lowering-fma.f32`
11 480×	`accelerator-lowering-fma.f64`
8 102×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	230	135
2	2021	135
0	8819	126
0	8	19
1	24	19
2	180	19
3	1853	19
0	8395	18
0	487	4506
1	1568	4418
2	5289	4394
0	8197	4054
0	93	620
1	295	616
2	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554

Stop Event

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

Compiler

Compiled 192 to 97 computations (49.5% saved)

preprocess105.0ms (1%)

Memory: -7.9MiB live, 109.0MiB allocated
Compiler: Compiled 212 to 82 computations (61.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.5s (13.9%)

preprocess47.0ms (0.4%)

explain110.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize39.0ms (0.4%)

series7.0ms (0.1%)

rewrite653.0ms (6.1%)

simplify569.0ms (5.3%)

eval30.0ms (0.3%)

prune41.0ms (0.4%)

simplify297.0ms (2.8%)

localize229.0ms (2.1%)

series54.0ms (0.5%)

rewrite570.0ms (5.3%)

simplify494.0ms (4.6%)

eval323.0ms (3%)

prune261.0ms (2.4%)

simplify384.0ms (3.6%)

localize133.0ms (1.2%)

series49.0ms (0.5%)

rewrite386.0ms (3.6%)

simplify399.0ms (3.7%)

eval149.0ms (1.4%)

prune146.0ms (1.4%)

simplify239.0ms (2.2%)

localize156.0ms (1.5%)

series64.0ms (0.6%)

rewrite536.0ms (5%)

simplify569.0ms (5.3%)

eval350.0ms (3.3%)

prune486.0ms (4.5%)

regimes104.0ms (1%)

regimes71.0ms (0.7%)

regimes56.0ms (0.5%)

regimes29.0ms (0.3%)

regimes55.0ms (0.5%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch32.0ms (0.3%)

bsearch62.0ms (0.6%)

bsearch33.0ms (0.3%)

bsearch17.0ms (0.2%)

simplify23.0ms (0.2%)

soundness890.0ms (8.3%)

preprocess105.0ms (1%)

end0.0ms (0%)

Profiling