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 (12.2%)

Results

949.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 618.0ms

ival-sin: 218.0ms (35.3% of total)

ival-cos: 194.0ms (31.4% of total)

ival-mult: 132.0ms (21.3% of total)

ival-add: 62.0ms (10% of total)

const: 9.0ms (1.5% of total)

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

Bogosity

preprocess84.0ms (0.8%)

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)))

explain115.0ms (1.1%)

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

80.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sin: 15.0ms (39.1% of total)

ival-cos: 12.0ms (31.3% of total)

ival-mult: 8.0ms (20.9% of total)

ival-add: 3.0ms (7.8% of total)

const: 1.0ms (2.6% 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
▶	99.9%	(+.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)

localize62.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(*.f64 x (sin.f64 y))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Results

52.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 18.0ms (53.6% of total)

ival-sin: 9.0ms (26.8% of total)

ival-cos: 5.0ms (14.9% of total)

ival-add: 1.0ms (3% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	(+ (* x (sin y)) (* z (cos y)))
1.0ms	x	@	0	(+ (* x (sin y)) (* z (cos y)))
1.0ms	z	@	inf	(+ (* x (sin y)) (* z (cos y)))
1.0ms	y	@	-inf	(+ (* x (sin y)) (* z (cos y)))
1.0ms	z	@	0	(+ (* x (sin y)) (* z (cos y)))

rewrite332.0ms (3.3%)

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	18
1	25	18
2	211	18
3	2701	18
0	8147	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 96

Calls

Call 1

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

simplify210.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3296×	`-lowering-.f32`
3296×	`-lowering-.f64`
2204×	`fma-lowering-fma.f32`
2204×	`fma-lowering-fma.f64`
1820×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	591
1	330	556
2	1131	547
3	3369	543
4	6220	543
0	8437	543

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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))

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 z (*.f64 y #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 x (*.f64 y #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 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y 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 (.f64 y 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 y (*.f64 y #s(literal -1/2 binary64)))))
(+ 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 (*.f64 y 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 (.f64 y y) (.f64 z (+.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))

eval31.0ms (0.3%)

Compiler: Compiled 4678 to 361 computations (92.3% saved)

prune33.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	177	15	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	16	193

Accuracy

100.0%

Counts

193 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	52.0%	(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)))))))
	24.1%	(/.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 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.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 #s(literal 2 binary64) y))))))) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2 binary64)))
	41.5%	(/.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)))))
✓	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	75.5%	(+.f64 (*.f64 x (sin.f64 y)) z)
	51.5%	(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
▶	51.8%	(+.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))))))))
	52.7%	(+.f64 z (*.f64 y x))
▶	41.4%	(.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)))))))
	23.7%	(.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)))
	99.7%	(.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 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	61.7%	(*.f64 z (cos.f64 y))
	40.2%	(*.f64 x (sin.f64 y))
▶	38.3%	z

Compiler

Compiled 744 to 400 computations (46.2% saved)

simplify172.0ms (1.7%)

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 x (.f64 y #s(literal -1/6 binary64)))))
✓	cost-diff	0	(+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64))))))
✓	cost-diff	0	(.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #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 x (*.f64 y #s(literal -1/6 binary64))))))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	6272	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))

Rules

2492×	`-lowering-.f32`
2492×	`-lowering-.f64`
1646×	`fma-lowering-fma.f32`
1646×	`fma-lowering-fma.f64`
1566×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	254
1	107	245
2	323	241
3	1029	241
4	3452	241
0	8325	241

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize382.0ms (3.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.1%	(-.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	90.9%	(.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	72.8%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	52.8%	(.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	99.9%	(*.f64 x (sin.f64 y))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64)))))))
✓	accuracy	99.7%	(.f64 x (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Results

167.0ms	115×	1	valid
107.0ms	130×	0	valid
36.0ms	11×	2	valid

Compiler

Compiled 279 to 36 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-cos: 52.0ms (31.3% of total)

ival-mult: 39.0ms (23.5% of total)

ival-add: 27.0ms (16.3% of total)

backward-pass: 14.0ms (8.4% of total)

ival-sub: 9.0ms (5.4% of total)

ival-sin: 8.0ms (4.8% of total)

...c/correct-round.rkt:119:19: 7.0ms (4.2% of total)

compiled-spec: 7.0ms (4.2% of total)

ival-div: 4.0ms (2.4% of total)

const: 1.0ms (0.6% of total)

series47.0ms (0.5%)

Counts

18 → 504

Calls

Call 1

Inputs
#<alt (+ (* (sin y) x) (* z (cos y)))>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (cos y)>
#<alt (+ z (* y (+ x (* y (+ (* z -1/2) (* x (* y -1/6)))))))>
#<alt (* y (+ x (* y (+ (* z -1/2) (* x (* y -1/6))))))>
#<alt (+ x (* y (+ (* z -1/2) (* x (* y -1/6)))))>
#<alt (* y (+ (* z -1/2) (* x (* y -1/6))))>
#<alt (+ (* x (sin y)) z)>
#<alt (* x (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 (* y -1/6)>
#<alt (* x (* y -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>
#<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 (* 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 (* 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 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)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
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#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (/ -1 (* z (cos y)))>
#<alt (- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (- (* x (- (* -1 (/ (* 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)))) (/ (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 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (* -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))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -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)) (* -1 (/ (* 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 (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (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)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (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 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))>
#<alt (/ -1 (* z (cos y)))>
#<alt (/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)>
#<alt (/ -1 (* z (cos y)))>
#<alt (* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z))>
#<alt (* -1 (/ (+ (* -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))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (* 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) (* -1 (/ (* z (cos y)) x))))>
#<alt (* x (+ (sin y) (* -1 (/ (* z (cos y)) x))))>
#<alt (* x (+ (sin y) (* -1 (/ (* z (cos y)) x))))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))>
#<alt (* -1 z)>
#<alt (- (* x y) z)>
#<alt (- (* y (+ x (* 1/2 (* y z)))) z)>
#<alt (- (* y (+ x (* y (- (* -1/6 (* x y)) (* -1/2 z))))) z)>
#<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 (+ (* -1 (* z (cos y))) (* x (sin y)))>
#<alt (+ (* -1 (* z (cos y))) (* x (sin y)))>
#<alt (+ (* -1 (* z (cos y))) (* x (sin y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* z (- (/ (* x (sin y)) z) (cos y)))>
#<alt (* z (- (/ (* x (sin y)) z) (cos y)))>
#<alt (* z (- (/ (* x (sin y)) z) (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos 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 (* -1/6 y)>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 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 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (pow z 2))>
#<alt (- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))>
#<alt (- (* (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))>
#<alt (- (* (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))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 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))))))>
#<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

126 calls:

Time	Variable		Point	Expression
6.0ms	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	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	y	@	-inf	(* y -1/6)
2.0ms	z	@	inf	(+ z (* y (+ x (* y (+ (* z -1/2) (* x (* y -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)))))))

rewrite384.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3060×	`-lowering-.f32`
3060×	`-lowering-.f64`
2380×	`fma-lowering-fma.f32`
2380×	`fma-lowering-fma.f64`
1924×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	151
1	233	125
2	2186	125
0	8580	125

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 616

Calls

Call 1

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

simplify712.0ms (7%)

Algorithm

1×	egg-herbie

Rules

6198×	`-lowering-.f32`
6198×	`-lowering-.f64`
3430×	`+-lowering-+.f64`
3430×	`+-lowering-+.f32`
1666×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	727	7496
1	2750	6582
0	8710	6582

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
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)))
(* 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)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
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(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))
(/ (* z (+ 1/2 (* 1/2 (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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(/ -1 (* z (cos y)))
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(- (* x (- (* -1 (/ (* 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)))) (/ (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 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (* -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))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -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)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(/ -1 z)
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (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)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (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 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(/ -1 (* z (cos y)))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)
(/ -1 (* z (cos y)))
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z))
(* -1 (/ (+ (* -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))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -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) (* -1 (/ (* z (cos y)) x))))
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x))))
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(* -1 z)
(- (* x y) z)
(- (* y (+ x (* 1/2 (* y z)))) z)
(- (* y (+ x (* y (- (* -1/6 (* x y)) (* -1/2 z))))) z)
(- (* x (sin y)) (* z (cos y)))
(- (* x (sin y)) (* z (cos y)))
(- (* x (sin y)) (* z (cos y)))
(- (* x (sin y)) (* z (cos y)))
(- (* x (sin y)) (* z (cos y)))
(- (* x (sin y)) (* z (cos y)))
(- (* x (sin y)) (* z (cos y)))
(- (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(* -1 (* z (cos y)))
(* z (- (/ (* x (sin y)) z) (cos y)))
(* z (- (/ (* x (sin y)) z) (cos y)))
(* z (- (/ (* x (sin y)) z) (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y)))))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y)))))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos 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)
(* -1/6 y)
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 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))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (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))
(- (* (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))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))

Outputs
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #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 x y) #s(literal -1/6 binary64)))))))
(+ (* 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)) (* 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)) (* 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)) (* 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)))
(* z (cos 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)) (* 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) (/ (* 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 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* 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))
(+ (* 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)) (* z (cos y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.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)))))
(* 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 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 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))
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(-.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 (.f64 y y) (.f64 #s(literal -1/3 binary64) (+.f64 (.f64 x x) (.f64 z z)))) (+.f64 (.f64 x x) (.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 (.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 (.f64 x x) (.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)))))))

eval161.0ms (1.6%)

Compiler: Compiled 49905 to 2627 computations (94.7% saved)

prune156.0ms (1.5%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1186	25	1211
Fresh	7	3	10
Picked	3	2	5
Done	0	1	1
Total	1196	31	1227

Accuracy

100.0%

Counts

1227 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.3%	(/.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 (sin.f64 y) x) 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))
	24.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (.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 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
	51.7%	(+.f64 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y))))))) 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)
	51.7%	(+.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)
✓	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	75.5%	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	52.7%	(+.f64 (*.f64 x y) z)
	36.6%	(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 y y)))) y) (-.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) x)))))))
	51.8%	(+.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 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
	36.6%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
	36.4%	(+.f64 z (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	36.5%	(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
	41.0%	(.f64 (/.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 #s(literal 1/2 binary64) (.f64 z z))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (*.f64 z z)))))
	30.1%	(.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)))))))
	30.2%	(.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 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) z)))
	24.7%	(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
▶	99.7%	(.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 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	2.8%	(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64))))
▶	18.2%	(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
	92.4%	(.f64 z (+.f64 (/.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)))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
▶	93.2%	(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
	61.7%	(*.f64 z (cos.f64 y))
	25.6%	(.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
	86.7%	(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
	18.1%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	40.2%	(*.f64 x (sin.f64 y))
	3.1%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
✓	38.3%	z

Compiler

Compiled 1305 to 767 computations (41.2% saved)

simplify250.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x (sin.f64 y)) z)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
✓	cost-diff	128	(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
✓	cost-diff	0	(+.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))))
✓	cost-diff	0	(.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)))))
✓	cost-diff	0	(.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))))))
✓	cost-diff	0	(+.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)
✓	cost-diff	0	(+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	cost-diff	64	(neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 (*.f64 x y) 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	128	(.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))))))
✓	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)))))

Rules

2620×	`-lowering-.f32`
2620×	`-lowering-.f64`
2008×	`sum3-define`
1616×	`fma-define`
1600×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	256
1	122	235
2	394	232
3	1506	231
4	5056	231
0	8022	231

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
(+ (* x y) z)
(* x y)
x
y
z
(* (* x y) (neg (+ (* (* y y) 1/6) -1)))
(* x y)
x
y
(neg (+ (* (* y y) 1/6) -1))
(+ (* (* y y) 1/6) -1)
(* (* y y) 1/6)
(* y y)
1/6
-1
(+ (* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))) z)
(* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))))
x
(* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))
y
(+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))
1
(* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))
(* y y)
(+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)
(* (* y y) (+ 1/120 (* (* y y) -1/5040)))
(+ 1/120 (* (* y y) -1/5040))
1/120
(* (* y y) -1/5040)
-1/5040
-1/6
z
(* z (+ (cos y) (/ (* x (sin y)) z)))
z
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
y
(/ (* x (sin y)) z)
(* x (sin y))
x
(sin 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)
(+ (* x y) z)
(+.f64 z (*.f64 x y))
(* x y)
(*.f64 x y)
x
y
z
(* (* x y) (neg (+ (* (* y y) 1/6) -1)))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(* x y)
(*.f64 x y)
x
y
(neg (+ (* (* y y) 1/6) -1))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))
(+ (* (* y y) 1/6) -1)
(+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (* y y) 1/6)
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* y y)
(*.f64 y y)
1/6
#s(literal 1/6 binary64)
-1
#s(literal -1 binary64)
(+ (* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))) z)
(+.f64 z (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))))
(* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
x
(* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))
y
(+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))
(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))
(* y y)
(*.f64 y y)
(+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)
(+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))
(* (* y y) (+ 1/120 (* (* y y) -1/5040)))
(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
(+ 1/120 (* (* y y) -1/5040))
(+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))
1/120
#s(literal 1/120 binary64)
(* (* y y) -1/5040)
(.f64 y (.f64 y #s(literal -1/5040 binary64)))
-1/5040
#s(literal -1/5040 binary64)
-1/6
#s(literal -1/6 binary64)
z
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
z
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
(cos y)
(cos.f64 y)
y
(/ (* x (sin y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)

localize263.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
✓	accuracy	99.9%	(*.f64 x (sin.f64 y))
✓	accuracy	96.4%	(/.f64 (*.f64 x (sin.f64 y)) z)
✓	accuracy	93.2%	(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
✓	accuracy	99.8%	(.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)))
✓	accuracy	99.5%	(.f64 (.f64 y y) #s(literal -1/5040 binary64))
✓	accuracy	98.9%	(.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))))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)
✓	accuracy	99.9%	(*.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

174.0ms

256×

valid

Compiler

Compiled 342 to 38 computations (88.9% saved)

Precisions

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

ival-mult: 40.0ms (46.1% of total)

...c/correct-round.rkt:119:19: 14.0ms (16.1% of total)

ival-add: 11.0ms (12.7% of total)

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

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

ival-div: 4.0ms (4.6% of total)

ival-sub: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

series50.0ms (0.5%)

Counts

23 → 552

Calls

Call 1

Inputs
#<alt (* (- (* x (sin y)) (* z (cos y))) (/ 1 (- (* x (sin y)) (* z (cos y)))))>
#<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)))>
#<alt (* x (sin y))>
#<alt (+ (* x y) z)>
#<alt (* x y)>
#<alt (neg (+ (* (* y y) 1/6) -1))>
#<alt (* (* x y) (neg (+ (* (* y y) 1/6) -1)))>
#<alt (+ (* (* y y) 1/6) -1)>
#<alt (+ (* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))) z)>
#<alt (* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))))>
#<alt (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))>
#<alt (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ 1 (- (* x (sin y)) (* z (cos y))))>
#<alt (* z (cos y))>
#<alt (* (* y y) 1/6)>
#<alt (* (* y y) -1/5040)>
#<alt (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))>
#<alt (* (* y y) (+ 1/120 (* (* y y) -1/5040)))>

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

Calls

138 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(* (* x y) (neg (+ (* (* y y) 1/6) -1)))
2.0ms	y	@	0	(* z (+ (cos y) (/ (* x (sin y)) z)))
1.0ms	x	@	0	(* (* x y) (neg (+ (* (* y y) 1/6) -1)))
1.0ms	x	@	0	(+ (* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))) z)
1.0ms	x	@	0	(* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))))

rewrite365.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3332×	`fma-lowering-fma.f32`
3332×	`fma-lowering-fma.f64`
3014×	`-lowering-.f32`
3014×	`-lowering-.f64`
2030×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	195
1	248	177
2	2200	174
0	8495	174

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 423

Calls

Call 1

Inputs
(* (- (* x (sin y)) (* z (cos y))) (/ 1 (- (* x (sin y)) (* z (cos y)))))
(* (+ (* 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 y) z)
(* x y)
(neg (+ (* (* y y) 1/6) -1))
(* (* x y) (neg (+ (* (* y y) 1/6) -1)))
(+ (* (* y y) 1/6) -1)
(+ (* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))) z)
(* x (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))))
(* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))
(+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(/ (* x (sin y)) z)
(/ 1 (- (* x (sin y)) (* z (cos y))))
(* z (cos y))
(* (* y y) 1/6)
(* (* y y) -1/5040)
(* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))
(* (* y y) (+ 1/120 (* (* y y) -1/5040)))

Outputs
#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 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(+.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 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 #s(literal 2 binary64) y))))) (-.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 #s(literal 2 binary64) y)))) (.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 (.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 #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))))
(/.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))))
(/.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y)))) (.f64 z z)) (-.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 x (.f64 (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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) (-.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) #s(literal 1 binary64)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.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))) #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 (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)) (.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 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.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 z z)))) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2 binary64)))
(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 (.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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))) #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)))) (-.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 z z))))
(.f64 (+.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) (-.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 (/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) (-.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(+.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)) #s(literal 1 binary64)) (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(+.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 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 #s(literal 2 binary64) y))))) (-.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 #s(literal 2 binary64) y)))) (.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 (.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 #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))))
(/.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))))
(/.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y)))) (.f64 z z)) (-.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 x (.f64 (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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) (-.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) #s(literal 1 binary64)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.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 #s(literal 2 binary64) y))))) (.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 #s(literal 2 binary64) y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.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))) #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 (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
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(fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(fma.f64 y (.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(fma.f64 (.f64 y y) #s(literal 1/120 binary64) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) (.f64 y y) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal -1/5040 binary64)) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/5040 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(fma.f64 (.f64 #s(literal 1/120 binary64) y) y (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) y) y (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (-.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) #s(literal 1/120 binary64))) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))) (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))
(/.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)))) (.f64 y y)) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64))) (.f64 y y)) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 y y))
(.f64 (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) y)

simplify378.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4584×	`-lowering-.f32`
4584×	`-lowering-.f64`
1846×	`+-lowering-+.f64`
1846×	`+-lowering-+.f32`
1602×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	5380
1	1589	4721
2	5931	4675
0	8157	4675

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

eval146.0ms (1.4%)

Compiler: Compiled 30296 to 2103 computations (93.1% saved)

prune117.0ms (1.2%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1150	20	1170
Fresh	12	11	23
Picked	3	2	5
Done	0	3	3
Total	1165	36	1201

Accuracy

100.0%

Counts

1201 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 x y)))) (-.f64 z (*.f64 x y)))
	16.3%	(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 (.f64 z z) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (*.f64 x z)))))
	73.1%	(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (/.f64 (/.f64 z (sin.f64 y)) x))))
	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))
▶	16.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))))
	51.7%	(+.f64 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64)))))))) z)
	47.6%	(+.f64 (.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))))) (-.f64 y (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)))))) 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)
	51.7%	(+.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)
✓	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	75.5%	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	52.7%	(+.f64 (*.f64 x y) z)
	51.8%	(+.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)))))))
	36.6%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
	36.5%	(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
	30.1%	(.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)))))))
	24.7%	(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
	26.2%	(.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
	61.4%	(.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)))))
▶	18.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
	18.3%	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
	3.1%	(.f64 (.f64 x y) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
	16.9%	(.f64 (.f64 x y) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
	89.8%	(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
▶	92.4%	(.f64 z (+.f64 (/.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)))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
	89.8%	(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
	89.7%	(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))))
	50.4%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) z)))
▶	33.4%	(.f64 z (.f64 x (/.f64 (sin.f64 y) z)))
	61.7%	(*.f64 z (cos.f64 y))
	40.6%	(*.f64 y (+.f64 x (/.f64 z y)))
▶	18.0%	(*.f64 y x)
	86.7%	(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
	3.1%	(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	40.2%	(*.f64 x (sin.f64 y))
✓	38.3%	z

Compiler

Compiled 1483 to 797 computations (46.3% saved)

simplify276.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(/.f64 (sin.f64 y) z)
✓	cost-diff	0	(*.f64 x (/.f64 (sin.f64 y) z))
✓	cost-diff	256	(.f64 z (.f64 x (/.f64 (sin.f64 y) z)))
✓	cost-diff	0	(.f64 y (.f64 x (*.f64 x y)))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))))
✓	cost-diff	128	(+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))))
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)
✓	cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.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)))))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	cost-diff	256	(.f64 z (+.f64 (/.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)))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
✓	cost-diff	6528	(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓	cost-diff	13248	(+.f64 (/.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)))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))

Rules

4448×	`-lowering-.f32`
4448×	`-lowering-.f64`
2294×	`+-lowering-+.f64`
2294×	`+-lowering-+.f32`
2016×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	375
1	128	326
2	377	308
3	1257	296
4	3240	291
5	7253	291
0	8137	291

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize347.0ms (3.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 (sin.f64 y) z)
✓	accuracy	96.2%	(*.f64 x (/.f64 (sin.f64 y) z))
✓	accuracy	80.2%	(.f64 z (.f64 x (/.f64 (sin.f64 y) z)))
✓	accuracy	95.3%	(+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))
✓	accuracy	95.2%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	93.7%	(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))
✓	accuracy	30.0%	(/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	accuracy	93.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.1%	(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓	accuracy	96.4%	(/.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)))))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	accuracy	93.2%	(.f64 z (+.f64 (/.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)))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))

Results

214.0ms

256×

valid

Compiler

Compiled 404 to 46 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 43.0ms (46.1% of total)

ival-div: 12.0ms (12.9% of total)

ival-cos: 11.0ms (11.8% of total)

ival-add: 9.0ms (9.7% of total)

ival-sin: 7.0ms (7.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (4.3% of total)

ival-sub: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

const: 1.0ms (1.1% of total)

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

series81.0ms (0.8%)

Counts

20 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
18.0ms	z	@	0	(* z (+ (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (* z (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* y 2)) (cos y))) (/ 1/2 (cos y)))))
16.0ms	z	@	0	(/ 1 (/ (+ (* y (* x (* x y))) (* z (- z (* x y)))) (+ (* z (* z z)) (* (* x y) (* y (* x (* x y)))))))
3.0ms	y	@	inf	(+ (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (* z (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* y 2)) (cos y))) (/ 1/2 (cos y))))
3.0ms	y	@	-inf	(+ (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (* z (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* y 2)) (cos y))) (/ 1/2 (cos y))))
2.0ms	y	@	inf	(/ 1 (/ (+ (* y (* x (* x y))) (* z (- z (* x y)))) (+ (* z (* z z)) (* (* x y) (* y (* x (* x y)))))))

rewrite426.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3160×	`-lowering-.f32`
3160×	`-lowering-.f64`
2576×	`/-lowering-/.f32`
2576×	`/-lowering-/.f64`
2152×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	275
1	263	213
2	2570	166
0	8410	166

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 676

Calls

Call 1

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

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

simplify371.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5476×	`-lowering-.f32`
5476×	`-lowering-.f64`
2622×	`+-lowering-+.f64`
2622×	`+-lowering-+.f32`
1426×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	664	6772
1	2413	5804
0	8956	5804

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (/ 1/2 (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (/ 1/2 (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (/ 1/2 (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2))))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))) x)))))
(* -1 (* x (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))) x)))))
(* -1 (* x (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))) x)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* y (- (* -7/6 (/ x z)) (* -1 (/ x z)))) 1/2)) (/ x z))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (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)
(/ (+ (* 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)
(/ (+ (* 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))))
(+ (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+ (* 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))))) (/ (* 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 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))))
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (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)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* x (+ (/ (* 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))))
(* x (+ (/ (* 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))))
(* x (+ (/ (* 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))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* -1 (* x (+ (* -1 (/ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) x)) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) x)) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) x)) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* y (* z (- (* -7/6 (/ x z)) (* -1 (/ x 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))))))
(* 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 (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 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))
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(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(pow z 3)
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(* (pow x 3) (pow y 3))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))

Outputs
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (/ 1/2 (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2))))))
(.f64 x (+.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (/ 1/2 (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2))))))
(.f64 x (+.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (/ 1/2 (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2))))))
(.f64 x (+.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* -1 (* x (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))) x)))))
(.f64 x (+.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x)))
(* -1 (* x (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))) x)))))
(.f64 x (+.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x)))
(* -1 (* x (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))) x)))))
(.f64 x (+.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x)))
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 x z))))
(+ 1 (* y (+ (* y (- (* y (- (* -7/6 (/ x z)) (* -1 (/ x z)))) 1/2)) (/ x z))))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 x z) (.f64 y (+.f64 (.f64 (/.f64 (.f64 y x) z) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (*.f64 z (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))) z)
(/.f64 (+.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) (+.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)
(/ (+ (* 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)
(/.f64 (+.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) (+.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)
(/ (+ (* 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)
(/.f64 (+.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) (+.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.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 x (sin.f64 y))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
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 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 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 (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64))))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))
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(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
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(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
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(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64))))))))))
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(*.f64 x (sin.f64 y))
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(*.f64 x (sin.f64 y))
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(/ (* x (sin y)) z)
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(/ (* x (sin y)) z)
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(/ (* x (sin y)) z)
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(/.f64 (*.f64 x (sin.f64 y)) z)
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(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x y) z)
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(.f64 y (+.f64 (/.f64 x z) (.f64 y (.f64 (/.f64 (.f64 y x) z) #s(literal -1/6 binary64)))))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(.f64 y (+.f64 (/.f64 x z) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/6 binary64)) z) (.f64 x (/.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(.f64 y (+.f64 (/.f64 x z) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/6 binary64)) z) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) z) (/.f64 (.f64 x #s(literal 1/120 binary64)) z)))))))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
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(/.f64 (*.f64 x (sin.f64 y)) z)
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(/.f64 (*.f64 x (sin.f64 y)) z)
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(/ (* x (sin y)) z)
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(/ (* x (sin y)) z)
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(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z) (/.f64 #s(literal -1/6 binary64) z)))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) (/.f64 #s(literal 1/120 binary64) z))) (/.f64 #s(literal -1/6 binary64) z))))))
(/ (sin y) z)
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(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y 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 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 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 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 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)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
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(pow y 2)
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(+ (* (pow x 3) (pow y 3)) (pow z 3))
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(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y))))))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(.f64 (.f64 z (.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 z (.f64 z z)))))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(.f64 (.f64 z (.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 z (.f64 z z)))))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(.f64 (.f64 z (.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 z (.f64 z z)))))
(pow z 3)
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(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (+.f64 (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (+.f64 (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (+.f64 (/.f64 (.f64 y (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))
(pow z 3)
(.f64 z (.f64 z z))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y))))))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y))))))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y))))))
(* (pow x 3) (pow y 3))
(.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y)))))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x)))))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x)))))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x)))))
(* (pow x 3) (pow y 3))
(.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(.f64 (-.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 #s(literal -1 binary64) (.f64 x x)))) (.f64 y (.f64 y y))) (.f64 x (.f64 #s(literal -1 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(.f64 (-.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 #s(literal -1 binary64) (.f64 x x)))) (.f64 y (.f64 y y))) (.f64 x (.f64 #s(literal -1 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(.f64 (-.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 #s(literal -1 binary64) (.f64 x x)))) (.f64 y (.f64 y y))) (.f64 x (.f64 #s(literal -1 binary64) (*.f64 x x))))
(pow z 3)
(.f64 z (.f64 z z))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y))))))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y))))))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y))))))
(* (pow x 3) (pow y 3))
(.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y)))))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (*.f64 y y)))))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (*.f64 y y)))))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (*.f64 y y)))))
(* (pow x 3) (pow y 3))
(.f64 y (.f64 x (.f64 x (.f64 x (*.f64 y y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 x (*.f64 x x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 x (*.f64 x x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 x (*.f64 x x)))))

eval202.0ms (2%)

Compiler: Compiled 41600 to 2858 computations (93.1% saved)

prune226.0ms (2.2%)

Pruning

49 alts after pruning (41 fresh and 8 done)

	Pruned	Kept	Total
New	1216	24	1240
Fresh	9	17	26
Picked	2	3	5
Done	0	5	5
Total	1227	49	1276

Accuracy

100.0%

Counts

1276 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.9%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y))))))
	26.3%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 x y)))) (-.f64 z (*.f64 x y)))
	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))
	15.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))
	17.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 y (.f64 x x)))) y))
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z))
	16.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
	11.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (.f64 z (*.f64 z z))))
	5.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 (.f64 y z) x))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
	5.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 y (.f64 x x)) (.f64 x z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
	17.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	47.6%	(+.f64 (.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))))) (-.f64 y (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)))))) 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)
✓	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	75.5%	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	52.7%	(+.f64 (*.f64 x y) z)
	51.8%	(+.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)))))))
	36.6%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
	36.5%	(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
	16.9%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) y)
	24.7%	(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
	26.2%	(.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
	61.4%	(.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)))))
✓	18.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
	3.1%	(.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x) y)
	9.8%	(.f64 (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))) y)
	29.7%	(.f64 (.f64 (*.f64 x z) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
	61.2%	(.f64 (.f64 z #s(literal 1/2 binary64)) (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
	3.1%	(.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) y)
	18.3%	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
	3.1%	(.f64 (.f64 x y) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
	89.8%	(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
	47.1%	(.f64 z (+.f64 (/.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)))))) (.f64 z (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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)))))
	89.8%	(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
	30.1%	(.f64 z (.f64 (sin.f64 y) (/.f64 x z)))
	15.7%	(.f64 z (.f64 x (/.f64 (.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)))
	16.0%	(.f64 z (.f64 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) z)))
	15.8%	(.f64 z (.f64 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
✓	33.4%	(.f64 z (.f64 x (/.f64 (sin.f64 y) z)))
	15.5%	(.f64 z (.f64 x (/.f64 y z)))
	61.7%	(*.f64 z (cos.f64 y))
	40.6%	(*.f64 y (+.f64 x (/.f64 z y)))
	18.0%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
✓	18.0%	(*.f64 y x)
	86.7%	(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
	3.1%	(.f64 x (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
	40.2%	(*.f64 x (sin.f64 y))
✓	38.3%	z

Compiler

Compiled 2704 to 935 computations (65.4% saved)

regimes305.0ms (3%)

Counts

85 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 x (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) z)))
(.f64 (.f64 x y) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) y)
(.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x) y)
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
(+.f64 z (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.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) (/.f64 (*.f64 y x) z)) z))
(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(.f64 z (.f64 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 y (.f64 x x)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))
(+.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))))))))
(+.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 y (.f64 x (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.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 z (.f64 x (/.f64 (.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 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y))))))) z)
(+.f64 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64)))))))) z)
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (.f64 z (*.f64 z z))))
(+.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 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 y (.f64 x x)) (.f64 x z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 (.f64 y z) x))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 (.f64 z z) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (*.f64 x z)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y))))))
(.f64 (.f64 x y) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 y y)))) y) (-.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) x)))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
(+.f64 (.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))))) (-.f64 y (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(.f64 z (.f64 x (/.f64 (sin.f64 y) z)))
(.f64 z (.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (.f64 (*.f64 x z) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(.f64 x (/.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 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (.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 (sin.f64 y) x) z))
(.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 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) z)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
(.f64 (.f64 z #s(literal 1/2 binary64)) (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
(.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 (.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 #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)))) (-.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 1/2 binary64) (.f64 z z))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (*.f64 z z)))))
(.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 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 z (+.f64 (/.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)))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(.f64 z (+.f64 (/.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)))))) (.f64 z (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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #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)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (/.f64 (/.f64 z (sin.f64 y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (.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 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #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 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.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 #s(literal 2 binary64) y))))))) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2 binary64)))

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

Calls

4 calls:

162.0ms	y
53.0ms	x
42.0ms	z
26.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes95.0ms (0.9%)

Counts

69 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 x (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) z)))
(.f64 (.f64 x y) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) y)
(.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x) y)
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
(+.f64 z (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.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) (/.f64 (*.f64 y x) z)) z))
(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(.f64 z (.f64 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 y (.f64 x x)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))
(+.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))))))))
(+.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 y (.f64 x (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.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 z (.f64 x (/.f64 (.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 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y))))))) z)
(+.f64 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64)))))))) z)
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (.f64 z (*.f64 z z))))
(+.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 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 y (.f64 x x)) (.f64 x z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 (.f64 y z) x))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 (.f64 z z) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (*.f64 x z)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y))))))
(.f64 (.f64 x y) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 y y)))) y) (-.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) x)))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
(+.f64 (.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))))) (-.f64 y (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(.f64 z (.f64 x (/.f64 (sin.f64 y) z)))
(.f64 z (.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (.f64 (*.f64 x z) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(.f64 x (/.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 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (.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 (sin.f64 y) x) z))
(.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 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) z)))

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

Calls

4 calls:

22.0ms	z
21.0ms	y
21.0ms	x
20.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes91.0ms (0.9%)

Counts

59 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 x (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) z)))
(.f64 (.f64 x y) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) y)
(.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x) y)
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
(+.f64 z (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.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) (/.f64 (*.f64 y x) z)) z))
(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(.f64 z (.f64 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 y (.f64 x x)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))
(+.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))))))))
(+.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 y (.f64 x (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.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 z (.f64 x (/.f64 (.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 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y))))))) z)
(+.f64 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64)))))))) z)
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (.f64 z (*.f64 z z))))
(+.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 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 y (.f64 x x)) (.f64 x z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 (.f64 y z) x))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 (.f64 z z) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (*.f64 x z)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y))))))
(.f64 (.f64 x y) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 y y)))) y) (-.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) x)))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
(+.f64 (.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))))) (-.f64 y (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(.f64 z (.f64 x (/.f64 (sin.f64 y) z)))
(.f64 z (.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (.f64 (*.f64 x z) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))

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

Calls

3 calls:

36.0ms	z
29.0ms	y
18.0ms	x

Results

Accuracy	Segments	Branch
87.7%	3	`x`
81.7%	4	`y`
86.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes74.0ms (0.7%)

Counts

55 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 x (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) z)))
(.f64 (.f64 x y) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) y)
(.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x) y)
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
(+.f64 z (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.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) (/.f64 (*.f64 y x) z)) z))
(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(.f64 z (.f64 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 y (.f64 x x)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))
(+.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))))))))
(+.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 y (.f64 x (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.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 z (.f64 x (/.f64 (.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 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y))))))) z)
(+.f64 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64)))))))) z)
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (.f64 z (*.f64 z z))))
(+.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 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 y (.f64 x x)) (.f64 x z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 (.f64 y z) x))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 (.f64 z z) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (*.f64 x z)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y))))))
(.f64 (.f64 x y) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 y y)))) y) (-.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) x)))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
(+.f64 (.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))))) (-.f64 y (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))

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

Calls

3 calls:

18.0ms	z
17.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
80.2%	4	`y`
75.7%	3	`z`
79.4%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes83.0ms (0.8%)

Counts

54 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 x (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) z)))
(.f64 (.f64 x y) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) y)
(.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x) y)
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
(+.f64 z (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.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) (/.f64 (*.f64 y x) z)) z))
(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(.f64 z (.f64 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 y (.f64 x x)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))
(+.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))))))))
(+.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 y (.f64 x (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.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 z (.f64 x (/.f64 (.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 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y))))))) z)
(+.f64 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64)))))))) z)
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (.f64 z (*.f64 z z))))
(+.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 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 y (.f64 x x)) (.f64 x z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 (.f64 y z) x))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 (.f64 z z) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (*.f64 x z)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y))))))
(.f64 (.f64 x y) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 y y)))) y) (-.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) x)))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
(+.f64 (.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))))) (-.f64 y (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)))))) z)
(*.f64 x (sin.f64 y))

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

Calls

3 calls:

26.0ms	y
15.0ms	z
15.0ms	x

Results

Accuracy	Segments	Branch
60.1%	3	`z`
73.8%	3	`y`
62.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes74.0ms (0.7%)

Counts

53 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 x (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) z)))
(.f64 (.f64 x y) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) y)
(.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x) y)
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y)
(+.f64 z (.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.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) (/.f64 (*.f64 y x) z)) z))
(.f64 (.f64 x y) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+.f64 z (.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(.f64 z (.f64 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 y (.f64 x x)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))
(+.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))))))))
(+.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 y (.f64 x (.f64 x y)))) (-.f64 z (*.f64 x y)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(+.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 z (.f64 x (/.f64 (.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 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y))))))) z)
(+.f64 (.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64)))))))) z)
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (.f64 z (*.f64 z z))))
(+.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 x (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 (.f64 y (.f64 x x)) (.f64 x z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 (.f64 y z) x))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (*.f64 x y)))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 (.f64 z z) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 y (*.f64 x z)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 y y))))))
(.f64 (.f64 x y) (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))) (.f64 y y)))) y) (-.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) x)))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) x)))))))))
(+.f64 (.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y))))) (-.f64 y (.f64 (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)))))) z)

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

Calls

3 calls:

29.0ms	x
27.0ms	z
15.0ms	y

Results

Accuracy	Segments	Branch
52.7%	1	`z`
52.7%	1	`x`
52.7%	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
(*.f64 y x)
z
(*.f64 y x)

Calls

3 calls:

2.0ms	y
2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
43.4%	3	`z`
44.9%	3	`x`
38.3%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
38.3%	1	`y`
38.3%	1	`z`
38.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch76.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.0588802805888657e-17	1.387250357168097e-15
55.0ms	-1.2382021125263122e-64	-2.2278845687397306e-72

Results

41.0ms

256×

valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 13.0ms (42.2% of total)

ival-cos: 7.0ms (22.7% of total)

ival-sin: 7.0ms (22.7% of total)

ival-mult: 4.0ms (13% of total)

const: 0.0ms (0% of total)

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

bsearch74.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	7.267488155515728e+74	2.4942730333172886e+95
22.0ms	-1205122001.396219	-1008.4992269174679

Results

60.0ms

320×

valid

Compiler

Compiled 338 to 253 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-cos: 8.0ms (32.8% of total)

ival-sin: 8.0ms (32.8% of total)

ival-mult: 6.0ms (24.6% of total)

ival-add: 2.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.856133653826788e-7	430.9184119952419
23.0ms	-0.023522069550443305	-2.252291317226584e-6

Results

33.0ms

272×

valid

Compiler

Compiled 511 to 353 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 14.0ms (61% of total)

ival-mult: 4.0ms (17.4% of total)

ival-cos: 3.0ms (13.1% of total)

ival-add: 1.0ms (4.4% 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
19.0ms	1.6383281994343848e+135	3.134001062715285e+139
13.0ms	-3.3269265442876096e+138	-9.352560864102065e+137

Results

25.0ms

208×

valid

Compiler

Compiled 174 to 130 computations (25.3% saved)

Precisions

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

ival-sin: 5.0ms (37% of total)

ival-cos: 4.0ms (29.6% of total)

ival-mult: 3.0ms (22.2% of total)

ival-add: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	102
1	72	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x #s(literal -2845706385096283/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 2149935417987077/20282409603651670423947251286016 binary64)) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x #s(literal -210000000 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 3150000000000000063341055843602259516142525067466227067855396410010824935297427439616 binary64)) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8070450532247929/144115188075855872 binary64)) (+.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)))))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 x #s(literal -2700000000000000088672218720853300413264933929170951577883246250898616918626727587968803552194864014246663662917670576062350924712371027968 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 26999999999999997581442343257290009373072799127854316636809047687580072763023299507659079340391911016520584430600281522667449122006918758400 binary64)) z (.f64 y x)))
z

Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(if (<=.f64 x #s(literal -2845706385096283/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 2149935417987077/20282409603651670423947251286016 binary64)) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x #s(literal -2845706385096283/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (+.f64 z (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 2149935417987077/20282409603651670423947251286016 binary64)) (.f64 z (cos.f64 y)) (+.f64 z (*.f64 (sin.f64 y) x))))
(if (<=.f64 x #s(literal -210000000 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 3150000000000000063341055843602259516142525067466227067855396410010824935297427439616 binary64)) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 x #s(literal -210000000 binary64)) (.f64 (sin.f64 y) x) (if (<=.f64 x #s(literal 3150000000000000063341055843602259516142525067466227067855396410010824935297427439616 binary64)) (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8070450532247929/144115188075855872 binary64)) (+.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)))))))) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) (.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 8070450532247929/144115188075855872 binary64)) (+.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)))))))) (*.f64 (sin.f64 y) x)))
(+.f64 z (*.f64 y x))
(if (<=.f64 x #s(literal -2700000000000000088672218720853300413264933929170951577883246250898616918626727587968803552194864014246663662917670576062350924712371027968 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 26999999999999997581442343257290009373072799127854316636809047687580072763023299507659079340391911016520584430600281522667449122006918758400 binary64)) z (.f64 y x)))
z

soundness1.5s (14.5%)

Rules

6198×	`-lowering-.f32`
6198×	`-lowering-.f64`
4584×	`-lowering-.f32`
4584×	`-lowering-.f64`
3430×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	445	5380
1	1589	4721
2	5931	4675
0	8157	4675
0	727	7496
1	2750	6582
0	8710	6582
0	96	591
1	330	556
2	1131	547
3	3369	543
4	6220	543
0	8437	543
0	8	18
1	25	18
2	211	18
3	2701	18
0	8147	18

Stop Event

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

Compiler

Compiled 225 to 118 computations (47.6% saved)

preprocess48.0ms (0.5%)

Compiler: Compiled 260 to 108 computations (58.5% saved)

analyze0.0ms (0%)

sample1.2s (12.2%)

preprocess84.0ms (0.8%)

explain115.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize62.0ms (0.6%)

series15.0ms (0.1%)

rewrite332.0ms (3.3%)

simplify210.0ms (2.1%)

eval31.0ms (0.3%)

prune33.0ms (0.3%)

simplify172.0ms (1.7%)

localize382.0ms (3.8%)

series47.0ms (0.5%)

rewrite384.0ms (3.8%)

simplify712.0ms (7%)

eval161.0ms (1.6%)

prune156.0ms (1.5%)

simplify250.0ms (2.5%)

localize263.0ms (2.6%)

series50.0ms (0.5%)

rewrite365.0ms (3.6%)

simplify378.0ms (3.7%)

eval146.0ms (1.4%)

prune117.0ms (1.2%)

simplify276.0ms (2.7%)

localize347.0ms (3.4%)

series81.0ms (0.8%)

rewrite426.0ms (4.2%)

simplify371.0ms (3.7%)

eval202.0ms (2%)

prune226.0ms (2.2%)

regimes305.0ms (3%)

regimes95.0ms (0.9%)

regimes91.0ms (0.9%)

regimes74.0ms (0.7%)

regimes83.0ms (0.8%)

regimes74.0ms (0.7%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch76.0ms (0.7%)

bsearch74.0ms (0.7%)

bsearch46.0ms (0.5%)

bsearch33.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.5s (14.5%)

preprocess48.0ms (0.5%)

end0.0ms (0%)

Profiling