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

analyze0.0ms (0%)

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 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample1.2s (11.7%)

Results

999.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 658.0ms

ival-sin: 231.0ms (35.1% of total)

ival-cos: 191.0ms (29% of total)

ival-mult: 182.0ms (27.7% of total)

ival-add: 44.0ms (6.7% of total)

const: 8.0ms (1.2% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess92.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1280×	`fnmadd-define`
1000×	`fnmsub-define`
1000×	`fmsub-define`
872×	`fma-define`
778×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	86
1	89	80
2	182	80
3	490	80
4	1385	80
5	1967	80
6	2902	80
7	3467	80
8	3829	80
9	4294	80
10	4534	80
11	4569	80
12	4593	80
13	4601	80
0	8	8
1	12	8
2	15	8
0	15	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (* x (sin y)) (* z (cos y)))
(fma x (sin y) (* z (cos y)))
(+ (* (neg x) (sin y)) (* z (cos y)))
(fmsub z (cos y) (* x (sin y)))
(+ (* x (sin (neg y))) (* z (cos (neg y))))
(fmsub z (cos y) (* x (sin y)))
(+ (* x (sin y)) (* (neg z) (cos y)))
(fmsub x (sin y) (* z (cos y)))
(neg (+ (* (neg x) (sin y)) (* z (cos y))))
(fmsub x (sin y) (* z (cos y)))
(neg (+ (* x (sin (neg y))) (* z (cos (neg y)))))
(fmsub x (sin y) (* z (cos y)))
(neg (+ (* x (sin y)) (* (neg z) (cos y))))
(fmsub z (cos y) (* x (sin y)))
(+ (* y (sin x)) (* z (cos x)))
(fma y (sin x) (* z (cos x)))
(+ (* z (sin y)) (* x (cos y)))
(fma x (cos y) (* (sin y) z))
(+ (* x (sin z)) (* y (cos z)))
(fma x (sin z) (* y (cos z)))

explain104.0ms (1%)

FPErrors

Click to see full error table

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

Results

67.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 15.0ms (35.6% of total)

ival-sin: 13.0ms (30.8% of total)

ival-cos: 10.0ms (23.7% of total)

ival-add: 2.0ms (4.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`fma-lowering-fma.f32`
8×	`fma-define`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	12	23
2	15	23
0	15	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

31.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-cos: 7.0ms (37.1% of total)

ival-sin: 7.0ms (37.1% of total)

ival-mult: 4.0ms (21.2% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite281.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2716×	`-lowering-.f32`
2716×	`-lowering-.f64`
1858×	`sum5-define`
1440×	`fmsub-define`
1440×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	25	20
2	211	20
3	2701	20
0	8147	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 97

Calls

Call 1

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

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

simplify294.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
2330×	`fma-lowering-fma.f32`
2330×	`fma-lowering-fma.f64`
2062×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	645
1	362	598
2	1195	591
3	3577	586
4	6580	586
0	8166	586

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval33.0ms (0.3%)

Compiler: Compiled 4827 to 361 computations (92.5% saved)

prune29.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	191	14	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	191	15	206

Accuracy

100.0%

Counts

206 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	53.4%	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
	56.4%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	43.3%	(/.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 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 (cos.f64 y)) (.f64 x (sin.f64 y))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	77.0%	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	52.0%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
	51.8%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	52.8%	(+.f64 z (*.f64 y x))
▶	43.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
▶	99.6%	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	61.5%	(*.f64 z (cos.f64 y))
	39.5%	(*.f64 x (sin.f64 y))
▶	39.9%	z

Compiler

Compiled 688 to 366 computations (46.8% saved)

simplify224.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	cost-diff	0	(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal -1/6 binary64))))
✓	cost-diff	0	(+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64))))))
✓	cost-diff	0	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	cost-diff	26624	(.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
✓	cost-diff	26752	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))

Rules

2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
1516×	`fma-lowering-fma.f32`
1516×	`fma-lowering-fma.f64`
1306×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	289
1	116	276
2	349	272
3	1214	272
4	4380	272
0	8596	272

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize322.0ms (3.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.8%	(-.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 z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
✓	accuracy	88.7%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	accuracy	75.2%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	55.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
✓	accuracy	100.0%	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	100.0%	(+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal -1/6 binary64)))))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal -1/6 binary64))))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64))))))
✓	accuracy	99.6%	(.f64 (.f64 y x) #s(literal -1/6 binary64))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))

Results

124.0ms	120×	1	valid
85.0ms	130×	0	valid
9.0ms	6×	2	valid

Compiler

Compiled 357 to 38 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-cos: 44.0ms (30.8% of total)

ival-mult: 40.0ms (28% of total)

ival-add: 22.0ms (15.4% of total)

backward-pass: 11.0ms (7.7% of total)

ival-sin: 8.0ms (5.6% of total)

ival-sub: 7.0ms (4.9% of total)

...c/correct-round.rkt:119:19: 7.0ms (4.9% of total)

ival-div: 3.0ms (2.1% of total)

const: 1.0ms (0.7% of total)

series48.0ms (0.5%)

Counts

18 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (/ 1 (- (* x (sin y)) (* z (cos y)))) (- (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
2.0ms	z	@	inf	(* y (+ (* z -1/2) (* (* y x) -1/6)))
2.0ms	y	@	inf	(* (/ 1 (- (* x (sin y)) (* z (cos y)))) (- (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
2.0ms	z	@	inf	(+ z (* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))))
2.0ms	y	@	0	(/ 1 (- (* x (sin y)) (* z (cos y))))

rewrite410.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3106×	`-lowering-.f32`
3106×	`-lowering-.f64`
2440×	`fma-lowering-fma.f32`
2440×	`fma-lowering-fma.f64`
1630×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	161
1	231	129
2	2219	129
0	8421	129

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 643

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(+.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))) (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))) (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(+.f64 (.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 x (sin.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 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64) (.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64) (.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (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 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)) (.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y)) (.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 (/.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (/.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(fma.f64 (/.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (/.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 #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 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
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(fma.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(fma.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(fma.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 (neg.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) z) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(fma.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 z (cos.f64 y)))))
(fma.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (+.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (neg.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) z) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 z (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (+.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 z (cos.f64 y))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x) (.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 z (cos.f64 y))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x) (neg.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))))
(fma.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64) (+.f64 (.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64) (+.f64 (.f64 (neg.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) z) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 z (cos.f64 y)))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64) (.f64 (+.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) #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 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64)))
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(fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
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(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.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 #s(literal 2 binary64)))))))) (.f64 z z)))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.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 #s(literal 2 binary64)))))))) (.f64 x x)) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 #s(literal 1/2 binary64) (.f64 z z))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z z))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 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))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z z))) #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 #s(literal 1/2 binary64) (.f64 z z))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z z))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 z z))))))))
(/.f64 (-.f64 (.f64 (.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 #s(literal 2 binary64)))))))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 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))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 #s(literal 1/2 binary64) (.f64 z z))) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z z))) #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))))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (.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 #s(literal 2 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.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 #s(literal 2 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 (.f64 z z) (-.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 #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))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.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 #s(literal 2 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #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))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.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 #s(literal 2 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.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 #s(literal 2 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))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))) (.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(.f64 (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))

simplify483.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

6164×	`-lowering-.f32`
6164×	`-lowering-.f64`
3402×	`+-lowering-+.f64`
3402×	`+-lowering-+.f32`
1642×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	716	7752
1	2721	6830
0	8648	6830

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
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(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1/2 binary64) (.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))))) (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1/2 binary64) (.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))))) (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1/2 binary64) (.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))))) (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1/2 binary64) (.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))))) (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1/2 binary64) (.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))))) (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1/2 binary64) (.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))))) (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 z z))) (*.f64 z z))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 x x) (+.f64 (.f64 (.f64 y y) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 x x) (.f64 z z)))) (.f64 z z)))) (.f64 z z))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 x x) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (.f64 #s(literal 2/45 binary64) (+.f64 (.f64 x x) (.f64 z z)))) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 x x) (.f64 z z))))) (.f64 z z)))) (*.f64 z z))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (.f64 z z) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (.f64 z z) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (.f64 z z) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (.f64 z z) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (.f64 z z) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (.f64 z z) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))

eval260.0ms (2.5%)

Compiler: Compiled 69878 to 2947 computations (95.8% saved)

prune229.0ms (2.2%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1660	23	1683
Fresh	5	4	9
Picked	2	3	5
Done	0	1	1
Total	1667	31	1698

Accuracy

100.0%

Counts

1698 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	43.3%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	32.7%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) z))
▶	61.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	26.1%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
	32.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (sin.f64 y)) z) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	14.4%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) y)) y))))
	99.3%	(+.f64 (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 x (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))))
▶	52.8%	(+.f64 (*.f64 y x) z)
	51.8%	(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) z)
	51.4%	(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	77.0%	(+.f64 (*.f64 x (sin.f64 y)) z)
	37.6%	(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
▶	38.8%	(+.f64 z (.f64 y (+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))))))
	35.3%	(+.f64 z (.f64 y (+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/36 binary64))) y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x y)))))))
	51.8%	(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
✓	52.0%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
	49.3%	(+.f64 z (.f64 y (+.f64 x (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z y) x)))))))
▶	23.5%	(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
	37.6%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
	61.7%	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
	16.5%	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	68.8%	(.f64 z (+.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 1 binary64)))
	91.7%	(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
	61.5%	(*.f64 z (cos.f64 y))
	45.4%	(.f64 x (+.f64 (/.f64 (.f64 (.f64 z (cos.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 (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))))
	39.5%	(*.f64 x (sin.f64 y))
	3.0%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
✓	39.9%	z

Compiler

Compiled 1269 to 758 computations (40.3% saved)

simplify238.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	cost-diff	1920	(/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (*.f64 y #s(literal -1/6 binary64))))))
✓	cost-diff	1920	(+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (*.f64 y #s(literal -1/6 binary64)))))))
✓	cost-diff	1920	(.f64 y (+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))))))))
✓	cost-diff	1920	(+.f64 z (.f64 y (+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	128	(.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
✓	cost-diff	128	(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
✓	cost-diff	128	(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 (*.f64 y x) z)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))

Rules

5912×	`-lowering-.f32`
5912×	`-lowering-.f64`
1714×	`times-frac`
1498×	`/-lowering-/.f32`
1498×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	338
1	139	321
2	534	278
3	2822	271
4	7717	271
0	8041	271

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y)))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
1
#s(literal 1 binary64)
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
(+ (* y x) z)
(+.f64 z (*.f64 x y))
(* y x)
(*.f64 x y)
y
x
z
(+ z (* y (* (* y y) (+ (* x -1/6) (/ (* z -1/2) y)))))
(+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64)))))))
z
(* y (* (* y y) (+ (* x -1/6) (/ (* z -1/2) y))))
(.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))
y
(* (* y y) (+ (* x -1/6) (/ (* z -1/2) y)))
(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))
(* y y)
(*.f64 y y)
(+ (* x -1/6) (/ (* z -1/2) y))
(+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
x
-1/6
#s(literal -1/6 binary64)
(/ (* z -1/2) y)
(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ z (* y (+ x (/ (- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))) (- (* y (* z -1/2)) (* y (* x (* y -1/6))))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
z
(* y (+ x (/ (- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))) (- (* y (* z -1/2)) (* y (* x (* y -1/6)))))))
(.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64)))))))
y
(+ x (/ (- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))) (- (* y (* z -1/2)) (* y (* x (* y -1/6))))))
(+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64))))))
x
(/ (- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))) (- (* y (* z -1/2)) (* y (* x (* y -1/6)))))
(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))
(- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6)))))
(.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal -1/36 binary64))))))
(* (* y (* z -1/2)) (* y (* z -1/2)))
(.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))))
(* y (* z -1/2))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))
(.f64 (.f64 y y) (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/36 binary64)))))
(* y (* x (* y -1/6)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* x (* y -1/6))
(.f64 x (.f64 y #s(literal -1/6 binary64)))
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* y (* z -1/2)) (* y (* x (* y -1/6))))
(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 x y) #s(literal 1/6 binary64))))
(/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(* z (+ 1/2 (* 1/2 (cos (* y 2)))))
(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
z
(+ 1/2 (* 1/2 (cos (* y 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* y 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 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)

localize485.0ms (4.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	accuracy	99.7%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	96.5%	(-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (*.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	77.8%	(-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))))))
✓	accuracy	39.1%	(/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (*.f64 y #s(literal -1/6 binary64))))))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
✓	accuracy	99.8%	(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	77.5%	(.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
✓	accuracy	100.0%	(+.f64 (*.f64 y x) z)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))

Results

408.0ms

256×

valid

Compiler

Compiled 457 to 44 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 353.0ms

...c/correct-round.rkt:119:19: 265.0ms (75.1% of total)

ival-mult: 48.0ms (13.6% of total)

ival-cos: 12.0ms (3.4% of total)

ival-div: 9.0ms (2.6% of total)

ival-add: 9.0ms (2.6% of total)

ival-sin: 8.0ms (2.3% of total)

ival-sub: 2.0ms (0.6% of total)

const: 1.0ms (0.3% of total)

backward-pass: 0.0ms (0% of total)

series88.0ms (0.9%)

Counts

25 → 696

Calls

Call 1

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

Outputs
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)>
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#<alt (* x (- (+ 1 (* -1/2 (/ (* y z) x))) (* 1/6 (pow y 2))))>
#<alt (* x (- (+ 1 (* -1/2 (/ (* y z) x))) (* 1/6 (pow y 2))))>
#<alt (* x (- (+ 1 (* -1/2 (/ (* y z) x))) (* 1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) (+ 1 (* -1/6 (pow y 2))))))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) (* 1/6 x)))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) (* 1/6 x)))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) (* -1/2 z)) y)) (* 1/6 x)))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) (* -1/2 z)) y)) (* 1/6 x)))>
#<alt (- x (* 1/6 (* x (pow y 2))))>
#<alt (- (+ x (* -1/2 (* y z))) (* 1/6 (* x (pow y 2))))>
#<alt (- (+ x (* -1/2 (* y z))) (* 1/6 (* x (pow y 2))))>
#<alt (- (+ x (* -1/2 (* y z))) (* 1/6 (* x (pow y 2))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt z>
#<alt (+ z (* -1 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 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 1/2>
#<alt (+ 1/2 (* -1 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/2 (/ z y))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (* x (- (* -1/2 (/ z (* x y))) 1/6))>
#<alt (* x (- (* -1/2 (/ z (* x y))) 1/6))>
#<alt (* x (- (* -1/2 (/ z (* x y))) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (+ 1/6 (* 1/2 (/ z (* x y))))))>
#<alt (* -1 (* x (+ 1/6 (* 1/2 (/ z (* x y))))))>
#<alt (* -1 (* x (+ 1/6 (* 1/2 (/ z (* x y))))))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (* -1/2 (/ z y))>
#<alt (* z (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))>
#<alt (* z (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))>
#<alt (* z (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 (/ z y))>
#<alt (* -1 (* z (+ (* 1/6 (/ x z)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* 1/6 (/ x z)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* 1/6 (/ x z)) (* 1/2 (/ 1 y)))))>
#<alt (* -1/2 (/ z y))>
#<alt (/ (+ (* -1/2 z) (* -1/6 (* x y))) y)>
#<alt (/ (+ (* -1/2 z) (* -1/6 (* x y))) y)>
#<alt (/ (+ (* -1/2 z) (* -1/6 (* x y))) y)>
#<alt (* -1/6 x)>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (+ (* -1/2 (/ z y)) (* -1/6 x))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* -1/36 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt (* -1/36 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt (* -1/36 (* (pow x 2) (pow y 4)))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/36 (* (pow x 2) (pow y 4))))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/36 (* (pow x 2) (pow y 4))))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/36 (* (pow x 2) (pow y 4))))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1/36 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/36 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/36 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1/36 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/36 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/36 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (+ (* -1/36 (* (pow x 2) (pow y 4))) (* 1/4 (* (pow y 2) (pow z 2))))>
#<alt (+ (* -1/36 (* (pow x 2) (pow y 4))) (* 1/4 (* (pow y 2) (pow z 2))))>
#<alt (+ (* -1/36 (* (pow x 2) (pow y 4))) (* 1/4 (* (pow y 2) (pow z 2))))>
#<alt (* -1/36 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))>
#<alt (* -1/36 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* 1/6 (* x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/6 (* x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/6 (* x y))))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (- (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (- (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (- (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (* 1/6 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1/2 y) (* 1/6 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1/2 y) (* 1/6 (/ (* x (pow y 2)) z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* 1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* 1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* 1/6 (* x (pow y 2))))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* x (- (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* x (- (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* x (- (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) (* 1/6 (pow y 2)))))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) (* 1/6 (pow y 2)))))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) (* 1/6 (pow y 2)))))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 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)>

Calls

174 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(/ (- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))) (- (* y (* z -1/2)) (* y (* x (* y -1/6)))))
6.0ms	z	@	inf	(+ z (* y (+ x (/ (- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))) (- (* y (* z -1/2)) (* y (* x (* y -1/6))))))))
6.0ms	z	@	0	(+ z (* y (* (* y y) (+ (* x -1/6) (/ (* z -1/2) y)))))
5.0ms	y	@	inf	(* y (+ x (/ (- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))) (- (* y (* z -1/2)) (* y (* x (* y -1/6)))))))
4.0ms	z	@	0	(+ z (* y (+ x (/ (- (* (* y (* z -1/2)) (* y (* z -1/2))) (* (* y (* x (* y -1/6))) (* y (* x (* y -1/6))))) (- (* y (* z -1/2)) (* y (* x (* y -1/6))))))))

rewrite391.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4438×	`-lowering-.f32`
4438×	`-lowering-.f64`
2104×	`pow-lowering-pow.f64`
2104×	`pow-lowering-pow.f32`
1728×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	264
1	289	207
2	2825	194
0	8987	194

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 641

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))) (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))) (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))))
(+.f64 (.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (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 y #s(literal 2 binary64)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 #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 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z)))))
(/.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (sin.f64 y) (.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z))) (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z)))) (neg.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z)))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z)))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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))))) (.f64 z z)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))) (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))) (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))))
(+.f64 (.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)))
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(/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64))))) (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))) (.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) (neg.f64 (+.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) y)) (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))))) (.f64 (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))) (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))) (-.f64 (.f64 (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))) (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))) (.f64 (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))) (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))))) (-.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (+.f64 (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64))) (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))))
(pow.f64 (/.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) y)) (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64))
(.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))
(.f64 (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))
(.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (/.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) y)) (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))))))
(.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))) y)
(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)
(cos.f64 y)

simplify519.0ms (5%)

Algorithm

1×	egg-herbie

Rules

5918×	`-lowering-.f32`
5918×	`-lowering-.f64`
2274×	`+-lowering-+.f64`
2274×	`+-lowering-+.f32`
1648×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	592	7666
1	2113	6843
2	7921	6802
0	8236	6802

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1/6 (* x (pow y 3)))
(+ (* -1/6 (* x (pow y 3))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1/6 (* x (pow y 3))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1/6 (* x (pow y 3))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))) 1)))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y)))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ z (pow y 3)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ z (pow y 3)))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ z (pow y 2))) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ z (pow y 2))) y)) (* 1/6 x))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))))
(* -1/6 (* x (pow y 3)))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))
(* -1/6 (* x (pow y 3)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y))))
(* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y))))
(* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1/2 (* (pow y 2) z))
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))
(* -1/6 (* x (pow y 3)))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3))))
(* -1/6 (* x (pow y 3)))
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x)))))
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x)))))
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x)))))
(* -1/6 (* x (pow y 3)))
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))
(* -1/2 (* (pow y 2) z))
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(* (pow z 2) (+ (* -1/36 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1/36 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 1/4 (pow y 2))))
(* 1/4 (* (pow y 2) (pow z 2)))
(+ (* -1/36 (* (pow x 2) (pow y 4))) (* 1/4 (* (pow y 2) (pow z 2))))
(+ (* -1/36 (* (pow x 2) (pow y 4))) (* 1/4 (* (pow y 2) (pow z 2))))
(+ (* -1/36 (* (pow x 2) (pow y 4))) (* 1/4 (* (pow y 2) (pow z 2))))
(* -1/36 (* (pow x 2) (pow y 4)))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))
(* -1/36 (* (pow x 2) (pow y 4)))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 1/36 (pow y 4))))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (* 1/6 (* x y))))
(* y (+ (* -1/2 z) (* 1/6 (* x y))))
(* y (+ (* -1/2 z) (* 1/6 (* x y))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (- (* -1/2 (/ z y)) (* -1/6 x)))
(* 1/6 (* x (pow y 2)))
(- (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(- (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(- (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (* 1/6 (/ (* x (pow y 2)) z))))
(* z (+ (* -1/2 y) (* 1/6 (/ (* x (pow y 2)) z))))
(* z (+ (* -1/2 y) (* 1/6 (/ (* x (pow y 2)) z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/6 (* x (pow y 2))))
(+ (* -1/2 (* y z)) (* 1/6 (* x (pow y 2))))
(+ (* -1/2 (* y z)) (* 1/6 (* x (pow y 2))))
(* 1/6 (* x (pow y 2)))
(* x (- (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))
(* x (- (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))
(* x (- (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))
(* 1/6 (* x (pow y 2)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) (* 1/6 (pow y 2)))))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) (* 1/6 (pow y 2)))))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) (* 1/6 (pow y 2)))))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 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)

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

eval212.0ms (2.1%)

Compiler: Compiled 45457 to 3067 computations (93.3% saved)

prune176.0ms (1.7%)

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	1356	22	1378
Fresh	7	15	22
Picked	4	1	5
Done	0	4	4
Total	1367	42	1409

Accuracy

100.0%

Counts

1409 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	25.8%	(/.f64 (/.f64 (.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 #s(literal 2 binary64)))))))) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	32.7%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) z))
	30.0%	(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
	61.3%	(/.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 z #s(literal 1/2 binary64))) (.f64 z #s(literal 1/2 binary64))) (cos.f64 y))
	26.1%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
	49.2%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	34.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 z (cos.f64 y)) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
	32.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (sin.f64 y)) z) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z))))
	29.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (*.f64 z z))))
	61.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	39.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	39.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	35.4%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
▶	99.3%	(+.f64 (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 x (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))))
✓	52.8%	(+.f64 (*.f64 y x) z)
	51.8%	(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) z)
	51.4%	(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	77.0%	(+.f64 (*.f64 x (sin.f64 y)) z)
	37.7%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 z #s(literal -1/48 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
	37.6%	(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
▶	7.8%	(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
	37.6%	(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
▶	51.8%	(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
✓	52.0%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
	31.8%	(+.f64 z (.f64 y (.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))))))
	37.6%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
	37.6%	(+.f64 z (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64))))))
	29.9%	(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
	14.2%	(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))))
▶	61.2%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (cos.f64 y)))
	16.5%	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	91.7%	(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
	61.5%	(*.f64 z (cos.f64 y))
	39.5%	(*.f64 y (+.f64 x (/.f64 z y)))
	3.0%	(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x))))
▶	16.4%	(*.f64 y x)
	45.5%	(*.f64 x (+.f64 y (/.f64 z x)))
	39.5%	(*.f64 x (sin.f64 y))
	3.0%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
✓	39.9%	z

Compiler

Compiled 1603 to 981 computations (38.8% saved)

simplify303.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (cos.f64 y)))
✓	cost-diff	256	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (*.f64 y y))
✓	cost-diff	256	(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
✓	cost-diff	256	(.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))
✓	cost-diff	256	(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
✓	cost-diff	0	(.f64 z (.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
✓	cost-diff	0	(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	cost-diff	13376	(+.f64 (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 x (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))))

Rules

4706×	`-lowering-.f32`
4706×	`-lowering-.f64`
1918×	`/-lowering-/.f32`
1918×	`/-lowering-/.f64`
1740×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	359
1	123	341
2	341	325
3	942	324
4	2888	314
5	7166	314
0	8114	314

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
(/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
(* z (+ 1/2 (* 1/2 (cos (* y 2)))))
z
(+ 1/2 (* 1/2 (cos (* y 2))))
1/2
(* 1/2 (cos (* y 2)))
(cos (* y 2))
(* y 2)
y
2
(cos y)
(/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2))
(* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2)))))
(* x (sin y))
x
(sin y)
(pow (cos y) 2)
(* y x)
y
x
(+ z (* y (+ x (* z (* y -1/2)))))
z
(* y (+ x (* z (* y -1/2))))
y
(+ x (* z (* y -1/2)))
x
(* z (* y -1/2))
(* y -1/2)
-1/2
(+ z (* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))))
z
(* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y))))
y
(/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))
(* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y))
(- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y)))
(* (* x x) 1/36)
(* x x)
x
1/36
(/ (* 1/4 (* z z)) (* y y))
(* 1/4 (* z z))
1/4
(* z z)
(* y y)
(- (* x -1/6) (/ (* z -1/2) y))
(* x -1/6)
-1/6
(/ (* z -1/2) y)
(* z -1/2)
-1/2
(* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (cos y)))
(+ 1/2 (* 1/2 (cos (* y 2))))
1/2
(* 1/2 (cos (* y 2)))
(cos (* y 2))
(* y 2)
y
2
(/ z (cos y))
z
(cos y)

Outputs
(+ (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
(.f64 (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (+.f64 z (/.f64 (.f64 x (sin.f64 y)) (cos.f64 y))))
(/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
(.f64 (/.f64 (.f64 z #s(literal 1/2 binary64)) (cos.f64 y)) (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* y 2)))))
(.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
z
(+ 1/2 (* 1/2 (cos (* y 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* y 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 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)
(/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2))
(.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 y))) (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* y x)
(*.f64 y x)
y
x
(+ z (* y (+ x (* z (* y -1/2)))))
(+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
z
(* y (+ x (* z (* y -1/2))))
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))
y
(+ x (* z (* y -1/2)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 z y)))
x
(* z (* y -1/2))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ z (* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))))
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 z (.f64 z #s(literal -1/4 binary64))))) (+.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y)))))
z
(* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y))))
(/.f64 (.f64 y (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 z (.f64 z #s(literal -1/4 binary64))))) (+.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y))))
y
(/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))
(/.f64 (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 z (.f64 z #s(literal -1/4 binary64)))) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 z y))))
(* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y))
(+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (.f64 z (.f64 z #s(literal -1/4 binary64))))
(- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 z (.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 z y) y))))
(* (* x x) 1/36)
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* x x)
(*.f64 x x)
x
1/36
#s(literal 1/36 binary64)
(/ (* 1/4 (* z z)) (* y y))
(.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 z z) y) y))
(* 1/4 (* z z))
(.f64 z (.f64 z #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* z z)
(*.f64 z z)
(* y y)
(*.f64 y y)
(- (* x -1/6) (/ (* z -1/2) y))
(+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 z y)))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ (* z -1/2) y)
(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (cos y)))
(.f64 (/.f64 (.f64 z #s(literal 1/2 binary64)) (cos.f64 y)) (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ 1/2 (* 1/2 (cos (* y 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* y 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 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)
(/ z (cos y))
(/.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)

localize314.0ms (3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(/.f64 z (cos.f64 y))
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (cos.f64 y)))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	95.3%	(-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (*.f64 y y)))
✓	accuracy	74.5%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
✓	accuracy	74.0%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (*.f64 y y))
✓	accuracy	67.5%	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(.f64 z (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.7%	(.f64 (.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
✓	accuracy	99.7%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))

Results

203.0ms

256×

valid

Compiler

Compiled 398 to 46 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 38.0ms (42.8% of total)

ival-div: 12.0ms (13.5% of total)

ival-cos: 12.0ms (13.5% of total)

...c/correct-round.rkt:119:19: 8.0ms (9% of total)

ival-add: 6.0ms (6.8% of total)

ival-sin: 6.0ms (6.8% of total)

ival-pow: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.3% of total)

const: 1.0ms (1.1% of total)

backward-pass: 0.0ms (0% of total)

series49.0ms (0.5%)

Counts

23 → 588

Calls

Call 1

Inputs
#<alt (+ (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* y 2)))))>
#<alt (+ 1/2 (* 1/2 (cos (* y 2))))>
#<alt (* y x)>
#<alt (+ z (* y (+ x (* z (* y -1/2)))))>
#<alt (* y (+ x (* z (* y -1/2))))>
#<alt (+ x (* z (* y -1/2)))>
#<alt (* z (* y -1/2))>
#<alt (+ z (* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))))>
#<alt (* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y))))>
#<alt (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))>
#<alt (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y))>
#<alt (* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (cos y)))>
#<alt (* 1/2 (cos (* y 2)))>
#<alt (cos (* y 2))>
#<alt (pow (cos y) 2)>
#<alt (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2)))))>
#<alt (* y -1/2)>
#<alt (/ (* 1/4 (* z z)) (* y y))>
#<alt (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y)))>
#<alt (/ z (cos y))>
#<alt (cos y)>

Outputs
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))>
#<alt (+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt z>
#<alt (+ z (* -1 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/2 (* y z))))>
#<alt (* y (+ x (* -1/2 (* y z))))>
#<alt (* y (+ x (* -1/2 (* y z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt (* x (+ y (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt (* x (+ y (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* x y)>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1/2 (* y z))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (+ (* -1/6 (* x (pow y 3))) (* z (- 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1/6 (* x (pow y 3))) (* z (- 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* -1/6 (* x (pow y 3))) (* z (- 1 (* 1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))) 1)))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (* -1/6 (* x (pow y 3)))>
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#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ z (pow y 3)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ z (pow y 3)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ z (pow y 2))) y)) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ z (pow y 2))) y)) (* 1/6 x))))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* x (+ (* -1 (/ (- z (* 1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- z (* 1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- z (* 1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y))))>
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#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z))))>
#<alt (* z (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z))))>
#<alt (* z (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/4 (pow z 2))>
#<alt (+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))>
#<alt (+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))>
#<alt (+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (* 1/36 (pow y 2))))>
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#<alt (* -1/4 (pow z 2))>
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#<alt (+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))>
#<alt (+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
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#<alt (* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
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#<alt (* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
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#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt 1>
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#<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>
#<alt (+ 1 (* -1 (pow y 2)))>
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#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x y)>
#<alt (* y (+ x (* -7/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -7/6 x) (* 61/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -7/6 x) (* (pow y 2) (+ (* -547/5040 (* x (pow y 2))) (* 61/120 x)))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* 1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* -1/4 (/ (pow z 2) (pow y 2)))>
#<alt (- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))>
#<alt (- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))>
#<alt (- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))>
#<alt (* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))>
#<alt (* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))>
#<alt (* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))>
#<alt (* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))>
#<alt (* 1/36 (pow x 2))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (* -1/4 (/ (pow z 2) (pow y 2)))>
#<alt (* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))>
#<alt (* -1/4 (/ (pow z 2) (pow y 2)))>
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#<alt (* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))>
#<alt (* -1/4 (/ (pow z 2) (pow y 2)))>
#<alt (/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))>
#<alt (/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))>
#<alt (/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (* 1/36 (pow x 2))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt z>
#<alt (+ z (* 1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (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)>

Calls

147 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
3.0ms	z	@	0	(* y (+ x (* z (* y -1/2))))
3.0ms	x	@	0	(+ z (* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))))
2.0ms	y	@	inf	(+ z (* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))))
1.0ms	y	@	-inf	(+ (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))

rewrite440.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3582×	`-lowering-.f32`
3582×	`-lowering-.f64`
2900×	`/-lowering-/.f32`
2900×	`/-lowering-/.f64`
2170×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	258
1	260	211
2	2734	154
0	8985	154

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 761

Calls

Call 1

Inputs
(+ (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
(/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
(* z (+ 1/2 (* 1/2 (cos (* y 2)))))
(+ 1/2 (* 1/2 (cos (* y 2))))
(* y x)
(+ z (* y (+ x (* z (* y -1/2)))))
(* y (+ x (* z (* y -1/2))))
(+ x (* z (* y -1/2)))
(* z (* y -1/2))
(+ z (* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))))
(* y (/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y))))
(/ (* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y)) (- (* x -1/6) (/ (* z -1/2) y)))
(* (- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y))) (* y y))
(* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (cos y)))
(* 1/2 (cos (* y 2)))
(cos (* y 2))
(pow (cos y) 2)
(* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2)))))
(* y -1/2)
(/ (* 1/4 (* z z)) (* y y))
(- (* (* x x) 1/36) (/ (* 1/4 (* z z)) (* y y)))
(/ z (cos y))
(cos y)

Outputs
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (*.f64 z (cos.f64 y)))
(-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (neg.f64 (.f64 x (sin.f64 y)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(-.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(-.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z)) (cos.f64 y)))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))) (/.f64 (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))))
(fma.f64 z (cos.f64 y) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 z (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (*.f64 z (cos.f64 y)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 (cos.f64 y) z (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) (cos.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64)) (.f64 z (cos.f64 y)))
(fma.f64 x (.f64 (.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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) (.f64 x #s(literal 1 binary64)) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (neg.f64 (.f64 x (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y)) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (*.f64 z (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 #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))))) (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (sin.f64 y)) (cos.f64 y)) (cos.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (cos.f64 y)) (.f64 z (cos.f64 y)))
(/.f64 (+.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64)))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (pow.f64 (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) #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))))) (.f64 z z)) (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (sin.f64 y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (/.f64 (-.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64)))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (pow.f64 (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (cos.f64 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 x (sin.f64 y)))))) (.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))) (.f64 (cos.f64 y) #s(literal 1 binary64))) (.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x (sin.f64 y))))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 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 x (sin.f64 y)))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (sin.f64 y))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (neg.f64 (.f64 x (sin.f64 y)))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.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))))) (-.f64 #s(literal 0 binary64) z)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (sin.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)))
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simplify421.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

5634×	`-lowering-.f32`
5634×	`-lowering-.f64`
1844×	`times-frac`
1672×	`+-lowering-+.f64`
1672×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	6691
1	1404	5804
2	5115	5697
0	8349	5697

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

Inputs
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
z
(+ z (* x y))
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))
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(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
z
(+ z (* -1 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 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))))
(* x y)
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(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
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(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
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(* z (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
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(* -1/2 (* y z))
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(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
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x
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z
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(* y (+ (* -1/2 z) (* -1/6 (* x y))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1/4 (pow z 2))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(* 1/36 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (* 1/36 (pow y 2))))
(* (pow x 2) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (* 1/36 (pow y 2))))
(* (pow x 2) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (* 1/36 (pow y 2))))
(* 1/36 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (* 1/36 (pow y 2))))
(* (pow x 2) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (* 1/36 (pow y 2))))
(* (pow x 2) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (* 1/36 (pow y 2))))
(* 1/36 (* (pow x 2) (pow y 2)))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(* -1/4 (pow z 2))
(* (pow z 2) (- (* 1/36 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1/4))
(* (pow z 2) (- (* 1/36 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1/4))
(* (pow z 2) (- (* 1/36 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1/4))
(* -1/4 (pow z 2))
(* (pow z 2) (- (* 1/36 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1/4))
(* (pow z 2) (- (* 1/36 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1/4))
(* (pow z 2) (- (* 1/36 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1/4))
(* -1/4 (pow z 2))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(+ (* -1/4 (pow z 2)) (* 1/36 (* (pow x 2) (pow y 2))))
(* 1/36 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))
(* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))
(* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))
(* 1/36 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))
(* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))
(* (pow y 2) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2))))
z
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
1/2
(+ 1/2 (* -1 (pow y 2)))
(+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 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))
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)
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x y)
(* y (+ x (* -7/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -7/6 x) (* 61/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -7/6 x) (* (pow y 2) (+ (* -547/5040 (* x (pow y 2))) (* 61/120 x)))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* 1/4 (/ (pow z 2) (pow y 2)))
(* -1/4 (/ (pow z 2) (pow y 2)))
(- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))
(- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))
(- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(* 1/36 (pow x 2))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(* -1/4 (/ (pow z 2) (pow y 2)))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(* -1/4 (/ (pow z 2) (pow y 2)))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(* -1/4 (/ (pow z 2) (pow y 2)))
(/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))
(/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))
(/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))
(* 1/36 (pow x 2))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(* 1/36 (pow x 2))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(/ 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
(+ z (* 1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (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)

Outputs
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(.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))))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.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 z (+.f64 (.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)))))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.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 z (+.f64 (.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)))))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.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 z (+.f64 (.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)))))
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 z (+.f64 (.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))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (+.f64 (+.f64 (.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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (+.f64 (+.f64 (.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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (+.f64 (+.f64 (.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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)))))
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 #s(literal -1/6 binary64) y)))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.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))))) (/.f64 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.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))))) (/.f64 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
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(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* 1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))
(* -1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (*.f64 y y))
(- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(- (* 1/36 (pow x 2)) (* 1/4 (/ (pow z 2) (pow y 2))))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 x (.f64 x (*.f64 y y))))))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 x (.f64 x (*.f64 y y))))))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 x (.f64 x (*.f64 y y))))))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 x (.f64 x (*.f64 y y))))))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 x (.f64 x (*.f64 y y))))))
(* (pow x 2) (+ 1/36 (* -1/4 (/ (pow z 2) (* (pow x 2) (pow y 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 x (.f64 x (*.f64 y y))))))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(* -1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (*.f64 y y))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) z) z) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) z) z) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) z) z) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))))
(* -1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (*.f64 y y))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) z) z) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) z) z) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))))
(* (pow z 2) (- (* 1/36 (/ (pow x 2) (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) z) z) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))))
(* -1/4 (/ (pow z 2) (pow y 2)))
(/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (*.f64 y y))
(/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))
(/.f64 (+.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y (.f64 y (.f64 #s(literal 1/36 binary64) (.f64 x x))))) (*.f64 y y))
(/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))
(/.f64 (+.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y (.f64 y (.f64 #s(literal 1/36 binary64) (.f64 x x))))) (*.f64 y y))
(/ (- (* 1/36 (* (pow x 2) (pow y 2))) (* 1/4 (pow z 2))) (pow y 2))
(/.f64 (+.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y (.f64 y (.f64 #s(literal 1/36 binary64) (.f64 x x))))) (*.f64 y y))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(+ (* -1/4 (/ (pow z 2) (pow y 2))) (* 1/36 (pow x 2)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
z
(+ z (* 1/2 (* (pow y 2) z)))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (.f64 z #s(literal 5/24 binary64))) (.f64 #s(literal 1/2 binary64) z))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 (.f64 z #s(literal -5/48 binary64)) (.f64 z #s(literal 7/360 binary64)))) (.f64 z #s(literal 5/24 binary64)))) (.f64 #s(literal 1/2 binary64) z))))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 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)

eval286.0ms (2.8%)

Compiler: Compiled 48898 to 3582 computations (92.7% saved)

prune362.0ms (3.5%)

Pruning

47 alts after pruning (39 fresh and 8 done)

	Pruned	Kept	Total
New	1566	15	1581
Fresh	8	24	32
Picked	2	3	5
Done	0	5	5
Total	1576	47	1623

Accuracy

100.0%

Counts

1623 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) z))
	30.0%	(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
	74.9%	(/.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))) (.f64 (cos.f64 y) #s(literal 1 binary64))) (.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))))
	26.1%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
	49.2%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	61.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
	34.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 z (cos.f64 y)) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
	32.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (sin.f64 y)) z) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z))))
	29.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (*.f64 z z))))
	39.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	39.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	35.4%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
✓	52.8%	(+.f64 (*.f64 y x) z)
	51.8%	(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) z)
	51.4%	(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	77.0%	(+.f64 (*.f64 x (sin.f64 y)) z)
	76.7%	(+.f64 z (/.f64 (.f64 (.f64 x (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))))
	37.6%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal 1/4 binary64)))) (.f64 z #s(literal -1/2 binary64)))))
	37.7%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 z #s(literal -1/48 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
	37.6%	(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
	7.5%	(+.f64 z (.f64 y (/.f64 (.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
	33.1%	(+.f64 z (.f64 y (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
	25.1%	(+.f64 z (.f64 y (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
	35.9%	(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z y) (.f64 z y))))))))
	37.6%	(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
✓	51.8%	(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
✓	52.0%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
	31.8%	(+.f64 z (.f64 y (.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))))))
	37.7%	(+.f64 z (.f64 y (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) y)))))
	29.9%	(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
	61.4%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (cos.f64 y))))
✓	61.2%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (cos.f64 y)))
	39.2%	(.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))))
	10.1%	(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x y)))
	16.5%	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	61.5%	(*.f64 (cos.f64 y) z)
	61.2%	(.f64 z (+.f64 (.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))))
	91.7%	(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
	39.5%	(*.f64 y (+.f64 x (/.f64 z y)))
	2.9%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
	3.0%	(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x))))
✓	16.4%	(*.f64 y x)
	45.5%	(*.f64 x (+.f64 y (/.f64 z x)))
	39.5%	(*.f64 x (sin.f64 y))
	3.0%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
✓	39.9%	z

Compiler

Compiled 2336 to 908 computations (61.1% saved)

regimes130.0ms (1.3%)

Counts

75 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x y)))
(+.f64 z (.f64 y (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (*.f64 z z))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z y) x)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal 1/4 binary64)))) (.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) z)
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z y) (.f64 z y))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) y)) y))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/36 binary64))) y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x y)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))))
(+.f64 z (.f64 y (.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 z #s(literal -1/48 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(.f64 z (+.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 1 binary64)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 x (+.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 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 z #s(literal 1/2 binary64))) (.f64 z #s(literal 1/2 binary64))) (cos.f64 y))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (sin.f64 y)) z) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z))))
(.f64 z (+.f64 (.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (cos.f64 y))))
(/.f64 (/.f64 (.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 #s(literal 2 binary64)))))))) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.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 z (/.f64 (.f64 (.f64 x (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 z (cos.f64 y)) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
(/.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 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 (cos.f64 y)) (.f64 x (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 #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))) (.f64 (cos.f64 y) #s(literal 1 binary64))) (.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))))
(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(+.f64 (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 x (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))))
(.f64 x (+.f64 (/.f64 (.f64 (.f64 z (cos.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 (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))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))

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

Calls

4 calls:

46.0ms	y
33.0ms	x
21.0ms	z
21.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes51.0ms (0.5%)

Counts

48 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x y)))
(+.f64 z (.f64 y (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (*.f64 z z))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z y) x)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal 1/4 binary64)))) (.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) z)
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z y) (.f64 z y))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) y)) y))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/36 binary64))) y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x y)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))))
(+.f64 z (.f64 y (.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 z #s(literal -1/48 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(.f64 z (+.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 1 binary64)))

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

Calls

3 calls:

18.0ms	x
14.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
87.5%	3	`x`
79.9%	2	`y`
88.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.4%)

Counts

43 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x y)))
(+.f64 z (.f64 y (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (*.f64 z z))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z y) x)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal 1/4 binary64)))) (.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) z)
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z y) (.f64 z y))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) y)) y))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/36 binary64))) y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x y)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))))
(+.f64 z (.f64 y (.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 z #s(literal -1/48 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)

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

Calls

3 calls:

13.0ms	z
13.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
79.2%	4	`y`
77.7%	3	`x`
77.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes43.0ms (0.4%)

Counts

41 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x y)))
(+.f64 z (.f64 y (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (*.f64 z z))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z y) x)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal 1/4 binary64)))) (.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) z)
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z y) (.f64 z y))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) y)) y))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/36 binary64))) y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x y)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))))
(+.f64 z (.f64 y (.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 z #s(literal -1/48 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(*.f64 x (sin.f64 y))

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

Calls

3 calls:

13.0ms	x
12.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
62.1%	3	`z`
75.0%	3	`y`
62.4%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes37.0ms (0.4%)

Counts

40 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x y)))
(+.f64 z (.f64 y (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (*.f64 z z))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z y) x)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 z (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal 1/4 binary64)))) (.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) z)
(+.f64 z (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z y) (.f64 z y))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (/.f64 (.f64 z (.f64 z #s(literal -1/4 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) y)) y))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/36 binary64))) y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x y)))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) (.f64 y y)) (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))))
(+.f64 z (.f64 y (.f64 (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 y (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 x #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 y (+.f64 x (/.f64 (-.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (-.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 z #s(literal -1/48 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))

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

Calls

3 calls:

13.0ms	z
12.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
52.8%	1	`z`
52.8%	1	`x`
52.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

2.0ms	y
2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
42.9%	2	`x`
39.9%	1	`y`
45.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
39.9%	1	`x`
39.9%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.2226668820774932e+73	6.126657546742701e+82
17.0ms	-1.2834332125743831e+56	-1.302745640838391e+53

Results

28.0ms

288×

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions

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

ival-sin: 7.0ms (36.3% of total)

ival-cos: 6.0ms (31.1% of total)

ival-mult: 4.0ms (20.8% of total)

ival-add: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.0522911584561136e+73	2.504158268623945e+75
16.0ms	-4.193851838211999e+124	-9.363585265745073e+122

Results

24.0ms

224×

valid

Compiler

Compiled 242 to 181 computations (25.2% saved)

Precisions

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

ival-mult: 5.0ms (31.7% of total)

ival-sin: 5.0ms (31.7% of total)

ival-cos: 4.0ms (25.4% of total)

ival-add: 1.0ms (6.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.875104087327624e-8	76.68272867037388
2.0ms	-0.03875137702890608	-0.03605995564489158

Results

12.0ms

160×

valid

Compiler

Compiled 248 to 173 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 2.0ms (26.6% of total)

ival-mult: 2.0ms (26.6% of total)

ival-sin: 2.0ms (26.6% of total)

ival-add: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.522422260213751e-152	4.9346745656934315e-151
49.0ms	-9.326068736897881e-228	-2.590005690445168e-232

Results

54.0ms

224×

valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 5.0ms (35.9% of total)

ival-cos: 4.0ms (28.8% of total)

ival-mult: 3.0ms (21.6% of total)

ival-add: 1.0ms (7.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	88
1	64	88

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -580000000000000038603446096247052159269616825298583552 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 162000000000000006980966570633089963226480705870974377372433896952234508288 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 x #s(literal -2399999999999999887790362786024080510902147394494386101348936251681982330453341438281654113354407229450943093351065665404928 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 950000000000000060776508213700098865117783057158955947828507343643262058496 binary64)) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -5332261958806667/144115188075855872 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8070450532247929/72057594037927936 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 z #s(literal -5462437423415177/218497496936607064853048583478354175496839440705647678599864575975883972208808167719614290358159090999064327310325620422930884252602183354953346451122776638950446123565515229051718149272758321962318725648740732173736042431692028683588857933856768 binary64)) z (if (<=.f64 z #s(literal 2432436719123259/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (*.f64 y x) z))
z

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -580000000000000038603446096247052159269616825298583552 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 162000000000000006980966570633089963226480705870974377372433896952234508288 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 x #s(literal -2399999999999999887790362786024080510902147394494386101348936251681982330453341438281654113354407229450943093351065665404928 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 950000000000000060776508213700098865117783057158955947828507343643262058496 binary64)) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -5332261958806667/144115188075855872 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8070450532247929/72057594037927936 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(+.f64 z (*.f64 x y))
(if (<=.f64 z #s(literal -5462437423415177/218497496936607064853048583478354175496839440705647678599864575975883972208808167719614290358159090999064327310325620422930884252602183354953346451122776638950446123565515229051718149272758321962318725648740732173736042431692028683588857933856768 binary64)) z (if (<=.f64 z #s(literal 2432436719123259/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (*.f64 y x) z))
(if (<=.f64 z #s(literal -5462437423415177/218497496936607064853048583478354175496839440705647678599864575975883972208808167719614290358159090999064327310325620422930884252602183354953346451122776638950446123565515229051718149272758321962318725648740732173736042431692028683588857933856768 binary64)) z (if (<=.f64 z #s(literal 2432436719123259/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (*.f64 x y) z))
z

soundness1.4s (13.5%)

Rules

6164×	`-lowering-.f32`
6164×	`-lowering-.f64`
5918×	`-lowering-.f32`
5918×	`-lowering-.f64`
3474×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	592	7666
1	2113	6843
2	7921	6802
0	8236	6802
0	716	7752
1	2721	6830
0	8648	6830
0	109	645
1	362	598
2	1195	591
3	3577	586
4	6580	586
0	8166	586

Stop Event

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

Compiler

Compiled 190 to 102 computations (46.3% saved)

preprocess92.0ms (0.9%)

Compiler: Compiled 224 to 98 computations (56.3% saved)

analyze0.0ms (0%)

sample1.2s (11.7%)

preprocess92.0ms (0.9%)

explain104.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize40.0ms (0.4%)

series7.0ms (0.1%)

rewrite281.0ms (2.7%)

simplify294.0ms (2.8%)

eval33.0ms (0.3%)

prune29.0ms (0.3%)

simplify224.0ms (2.2%)

localize322.0ms (3.1%)

series48.0ms (0.5%)

rewrite410.0ms (4%)

simplify483.0ms (4.7%)

eval260.0ms (2.5%)

prune229.0ms (2.2%)

simplify238.0ms (2.3%)

localize485.0ms (4.7%)

series88.0ms (0.9%)

rewrite391.0ms (3.8%)

simplify519.0ms (5%)

eval212.0ms (2.1%)

prune176.0ms (1.7%)

simplify303.0ms (2.9%)

localize314.0ms (3%)

series49.0ms (0.5%)

rewrite440.0ms (4.3%)

simplify421.0ms (4.1%)

eval286.0ms (2.8%)

prune362.0ms (3.5%)

regimes130.0ms (1.3%)

regimes51.0ms (0.5%)

regimes44.0ms (0.4%)

regimes43.0ms (0.4%)

regimes37.0ms (0.4%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch42.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch64.0ms (0.6%)

simplify15.0ms (0.1%)

soundness1.4s (13.5%)

preprocess92.0ms (0.9%)

end0.0ms (0%)

Profiling