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

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-sub: 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)

sample1.3s (12.1%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 736.0ms

ival-sin: 251.0ms (34.1% of total)

ival-mult: 215.0ms (29.2% of total)

ival-cos: 207.0ms (28.1% of total)

ival-sub: 51.0ms (6.9% of total)

const: 8.0ms (1.1% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess97.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1510×	`fnmadd-define`
1022×	`fmsub-define`
1000×	`fnmsub-define`
978×	`fma-define`
826×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	86
1	111	80
2	222	80
3	512	80
4	1340	80
5	2757	80
6	3840	80
7	4790	80
8	4927	80
9	4973	80
10	4989	80
0	8	8
1	17	8
2	33	8
3	52	8
4	82	8
5	157	8
6	297	8
7	520	8
8	837	8
9	1200	8
10	1374	8
11	1396	8
0	1396	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain157.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

107.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-sin: 19.0ms (39.6% of total)

ival-cos: 13.0ms (27.1% of total)

ival-mult: 13.0ms (27.1% of total)

ival-sub: 3.0ms (6.3% of total)

const: 1.0ms (2.1% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

420×	`fnmadd-define`
342×	`fma-define`
294×	`sum3-define`
240×	`sum4-define`
232×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	17	23
2	33	23
3	52	23
4	82	23
5	157	23
6	297	23
7	520	23
8	837	23
9	1200	23
10	1374	23
11	1396	23
0	1396	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize61.0ms (0.6%)

Localize:

Found 4 expressions of interest:

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

Results

50.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-cos: 7.0ms (39.6% of total)

ival-sin: 5.0ms (28.3% of total)

ival-mult: 4.0ms (22.6% of total)

ival-sub: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	x	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	y	@	-inf	(- (* x (cos y)) (* z (sin y)))
1.0ms	y	@	inf	(- (* x (cos y)) (* z (sin y)))
0.0ms	y	@	0	(- (* x (cos y)) (* z (sin y)))

rewrite310.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
2346×	`pow-lowering-pow.f64`
2346×	`pow-lowering-pow.f32`
1550×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	36	20
2	257	20
3	3520	20
0	8466	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 153

Calls

Call 1

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

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

simplify238.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3562×	`-lowering-.f32`
3562×	`-lowering-.f64`
2348×	`+-lowering-+.f64`
2348×	`+-lowering-+.f32`
2104×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	665
1	364	613
2	1155	605
3	3557	600
4	6429	600
0	8161	600

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval29.0ms (0.3%)

Compiler: Compiled 7071 to 508 computations (92.8% saved)

prune40.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	245	16	261
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	245	17	262

Accuracy

99.9%

Counts

262 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.1%	(/.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 (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
▶	41.3%	(/.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 x (cos.f64 y)) (.f64 z (sin.f64 y))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	41.3%	(-.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 (cos.f64 y)) (.f64 z (sin.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 (cos.f64 y)) (.f64 z (sin.f64 y))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	78.3%	(-.f64 x (*.f64 z (sin.f64 y)))
	52.6%	(-.f64 x (*.f64 z y))
	51.6%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
	51.6%	(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
	9.6%	(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.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))))))))))
	41.2%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (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 z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
	53.3%	(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (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 (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	99.6%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	43.6%	(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
	89.9%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
▶	57.9%	(*.f64 x (cos.f64 y))
▶	37.5%	x

Compiler

Compiled 942 to 460 computations (51.2% saved)

simplify239.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	cost-diff	13312	(-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))))
✓	cost-diff	19776	(/.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 (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	0	(-.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	(/.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 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Rules

3880×	`-lowering-.f32`
3880×	`-lowering-.f64`
2982×	`+-lowering-+.f64`
2982×	`+-lowering-+.f32`
1846×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	384
1	103	365
2	452	356
3	2336	356
0	8151	356

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize394.0ms (3.6%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.6%	(-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))))
✓	accuracy	85.4%	(.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	72.8%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	36.5%	(/.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 (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
✓	accuracy	97.2%	(-.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	85.4%	(.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	72.8%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	56.3%	(/.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 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Results

203.0ms	116×	1	valid
80.0ms	131×	0	valid
16.0ms	9×	2	valid

Compiler

Compiled 449 to 31 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 44.0ms (30.4% of total)

ival-cos: 38.0ms (26.3% of total)

ival-sin: 17.0ms (11.7% of total)

backward-pass: 14.0ms (9.7% of total)

ival-div: 13.0ms (9% of total)

ival-sub: 7.0ms (4.8% of total)

ival-add: 6.0ms (4.1% of total)

ival-pow: 4.0ms (2.8% of total)

const: 1.0ms (0.7% of total)

series366.0ms (3.3%)

Counts

15 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
302.0ms	y	@	-inf	(/ (- (* (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (* (+ (* x (cos y)) (* z (sin y))) (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
5.0ms	z	@	-inf	(/ (- (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
3.0ms	y	@	inf	(/ 1 (- (* x (cos y)) (* z (sin y))))
3.0ms	x	@	0	(/ (- (* (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (* (+ (* x (cos y)) (* z (sin y))) (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
2.0ms	y	@	inf	(/ (- (* (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (* (+ (* x (cos y)) (* z (sin y))) (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))

rewrite550.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3644×	`-lowering-.f32`
3644×	`-lowering-.f64`
2228×	`fma-lowering-fma.f32`
2228×	`fma-lowering-fma.f64`
1608×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	165
1	220	111
2	2083	111
0	8781	111

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1116

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))
(fma.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 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(fma.f64 x (cos.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (neg.f64 (-.f64 (.f64 z (sin.f64 y)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (neg.f64 (-.f64 (.f64 z (sin.f64 y)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))
(fma.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z) (*.f64 x (cos.f64 y)))
(fma.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(fma.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (*.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 x) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(fma.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
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(fma.f64 (.f64 (.f64 z (sin.f64 y)) x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 z (sin.f64 y)) (.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 x (cos.f64 y)) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 (+.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 z (sin.f64 y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 (+.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 z (sin.f64 y)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.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 z (sin.f64 y)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (.f64 z (sin.f64 y))))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 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 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (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 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(.f64 x (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (*.f64 x x))
(.f64 (.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.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 (sin.f64 y))
(*.f64 (sin.f64 y) z)
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.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 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.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 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (neg.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))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 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))))))))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (sin.f64 y))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 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 #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 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (-.f64 #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 #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 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 z z)))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 z z) (.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 z z)))
(fma.f64 (.f64 z z) #s(literal 1/2 binary64) (.f64 (.f64 z z) (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (.f64 z z)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(.f64 z (.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))
(.f64 (sin.f64 y) (.f64 z (*.f64 z (sin.f64 y))))
(.f64 (.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 z z))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) z)
(.f64 (.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))
(.f64 (.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)

simplify482.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

6364×	`-lowering-.f32`
6364×	`-lowering-.f64`
3200×	`+-lowering-+.f64`
3200×	`+-lowering-+.f32`
2254×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	991	11136
1	3804	10176
0	9053	10176

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(/ -1 (* z (sin y)))
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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x
(+ x (* y (- z (* 2 z))))
(+ x (* y (- (+ z (* y (- (* -1/2 x) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x)))))) (* 2 z))))
(+ x (* y (- (+ z (* y (- (+ (* -1/2 x) (* y (- (* -1/6 z) (+ (* -1/3 z) (+ (* 2 (/ (* z (- (* -1/2 x) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x))))) x)) (+ (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- z (* 2 z))) (pow x 2)) (/ (pow z 3) (pow x 2)))))))) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x)))))) (* 2 z))))
(/ (- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
(/ (- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
(/ (- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
(/ (- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
(/ (- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
(/ (- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
(/ (- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
(/ (- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ (* x (cos y)) (* z (sin y))) 2))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (* z (- (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)) (* 2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
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(* -1 (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* -1 (* x (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* x (- (* x (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* x (- (* x (+ (* x (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 3) (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)))
(* (pow x 3) (+ (* -1 (/ (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x))))
(* (pow x 3) (- (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 3))) (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x))) (/ (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))))
(* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x) (* -1 (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) x)) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x)))))
(pow x 3)
(+ (* (pow x 2) (* y z)) (pow x 3))
(+ (* y (+ (* y (- (* (pow x 2) (+ (* -1 x) (* -1/2 x))) (* x (pow z 2)))) (* (pow x 2) z))) (pow x 3))
(+ (* y (+ (* y (- (+ (* y (- (* (pow x 2) (+ (* -1 z) (* -1/6 z))) (pow z 3))) (* (pow x 2) (+ (* -1 x) (* -1/2 x)))) (* x (pow z 2)))) (* (pow x 2) z))) (pow x 3))
(- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(- (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (+ (* x (cos y)) (* z (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* (pow x 2) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* z (+ (* -1 (* x (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* z (+ (* z (- (* -1 (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* -1 (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* (pow z 3) (- (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) z)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* (pow z 3) (- (/ (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2)) (+ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) z))))
(* (pow z 3) (- (+ (/ (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2)) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 3))) (+ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) z))))
(* -1 (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* -1 (* (pow z 3) (- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) z) (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* (pow z 3) (- (* -1 (/ (- (/ (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z) (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z))) z)) (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* (pow x 2) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* (pow x 2) (+ (* x (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
(* (pow x 2) (+ (* x (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
(* (pow x 2) (+ (* x (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
(* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 3) (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)))
(* (pow x 3) (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)))
(* (pow x 3) (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)))
(* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)))))
(pow x 3)
(+ (* (pow x 2) (* y z)) (pow x 3))
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (+ (* -1 x) (* -1/2 x)))))) (pow x 3))
(+ (* y (+ (* y (+ (* (pow x 2) (* y (+ (* -1 z) (* -1/6 z)))) (* (pow x 2) (+ (* -1 x) (* -1/2 x))))) (* (pow x 2) z))) (pow x 3))
(* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y)))))
(* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y)))))
(* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y)))))
(* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y)))))
(* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y)))))
(* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y)))))
(* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y)))))
(* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* x (cos y)) (* z (sin y)))))
(* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* (pow x 2) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* (pow x 2) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* (pow x 2) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* (pow x 2) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (+ (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))
(* z (+ (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))
(* z (+ (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))
(* (pow x 2) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* -1 (* z (+ (* -1 (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))))
(* -1 (* z (+ (* -1 (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))))
(* -1 (* z (+ (* -1 (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(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 z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))

Outputs
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
x
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(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(.f64 (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 y))) z) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
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(.f64 (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 y))) z) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 y))) z) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
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(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
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(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
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(/ 1 (* x (cos y)))
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(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x x))) (/.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (-.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)))))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x))))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
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(.f64 z (+.f64 (.f64 (.f64 (.f64 x 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 (.f64 (cos.f64 y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)))
(* z (+ (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))
(.f64 z (+.f64 (.f64 (.f64 (.f64 x 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 (.f64 (cos.f64 y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)))
(* z (+ (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))
(.f64 z (+.f64 (.f64 (.f64 (.f64 x 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 (.f64 (cos.f64 y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)))
(* (pow x 2) (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(.f64 (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* -1 (* z (+ (* -1 (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x 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 (.f64 (cos.f64 y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x 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 (.f64 (cos.f64 y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (* (pow x 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x 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 (.f64 (cos.f64 y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)) (-.f64 #s(literal 0 binary64) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (+.f64 z (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 z (*.f64 y y)) #s(literal 1/120 binary64))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64)) (.f64 z #s(literal 1/120 binary64))))))))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/3 binary64))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 y y) #s(literal -1/315 binary64)))) #s(literal -1/3 binary64)))))
(- 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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)))))
(* (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) (- 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) (- 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) (- 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) (- 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) (- 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) (- 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) (- 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) (- 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) (- 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) (- 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) (- 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 y 2) (pow z 2))
(.f64 (.f64 z y) (*.f64 z y))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 (.f64 (.f64 y y) #s(literal -1/3 binary64)) (*.f64 z z))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) (.f64 (.f64 (.f64 y y) #s(literal 2/45 binary64)) (*.f64 z z))))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal 2/45 binary64)) (.f64 (.f64 (.f64 y y) #s(literal -1/315 binary64)) (*.f64 z z))))))))
(* (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) (- 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) (- 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) (- 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) (- 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) (- 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) (- 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) (- 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))))))

eval318.0ms (2.9%)

Compiler: Compiled 100688 to 3479 computations (96.5% saved)

prune254.0ms (2.3%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1970	23	1993
Fresh	7	4	11
Picked	2	3	5
Done	0	1	1
Total	1979	31	2010

Accuracy

100.0%

Counts

2010 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	25.1%	(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (.f64 z (sin.f64 y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	41.4%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x (cos.f64 y)) x) (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)))))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
	31.8%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
▶	28.3%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
	57.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	37.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	51.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))))
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	43.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	32.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	78.3%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	52.6%	(-.f64 x (*.f64 z y))
	43.6%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	36.0%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
	36.1%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
	51.6%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
▶	34.3%	(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
	51.6%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
	35.8%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	49.1%	(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	28.3%	(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
▶	99.6%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	89.9%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	36.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
▶	36.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	57.9%	(*.f64 x (cos.f64 y))
✓	37.5%	x

Compiler

Compiled 1153 to 705 computations (38.9% saved)

simplify221.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z))
✓	cost-diff	0	(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
✓	cost-diff	256	(-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))
✓	cost-diff	768	(-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 x (*.f64 z y))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	128	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓	cost-diff	26624	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))

Rules

3588×	`-lowering-.f32`
3588×	`-lowering-.f64`
1922×	`fnmsub-define`
1520×	`+-lowering-+.f64`
1520×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	352
1	128	290
2	378	225
3	1364	225
4	6421	225
0	8209	225

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* x (cos y)) (* z (sin y))) (* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y))))))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)
(* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(- (* x (cos y)) (* z (sin y)))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
1
(- x (* z y))
x
(* z y)
z
y
(* x (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2))))
x
(+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2)))
1
(* (* y y) (+ (* (* y y) 1/24) -1/2))
(* y y)
y
(+ (* (* y y) 1/24) -1/2)
(* (* y y) 1/24)
1/24
-1/2
(+ x (* y (- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)))
x
(* y (- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z))
y
(- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)
(* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x))))
(- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))
(- 0 x)
0
(- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x))
(+ (* x -1/2) (/ (* z z) x))
(* x -1/2)
-1/2
(/ (* z z) x)
(* z z)
z
(/ (* z (+ (* 1/2 (cos (* y 2))) -1/2)) (sin y))
(* z (+ (* 1/2 (cos (* y 2))) -1/2))
z
(+ (* 1/2 (cos (* y 2))) -1/2)
(* 1/2 (cos (* y 2)))
1/2
(cos (* y 2))
(* y 2)
y
2
-1/2
(sin y)

Outputs
(* (+ (* x (cos y)) (* z (sin y))) (* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y))))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(* z (sin y))
(*.f64 z (sin.f64 y))
z
(sin y)
(sin.f64 y)
(* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
1
#s(literal 1 binary64)
(- x (* z y))
(-.f64 x (*.f64 y z))
x
(* z y)
(*.f64 y z)
z
y
(* x (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
x
(+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(* (* y y) (+ (* (* y y) 1/24) -1/2))
(.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* y y)
(*.f64 y y)
y
(+ (* (* y y) 1/24) -1/2)
(+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (* y y) 1/24)
(.f64 (.f64 y y) #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(+ x (* y (- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
x
(* y (- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z))
(.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z))
y
(- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)
(-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z)
(* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x))))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))
(*.f64 x #s(literal -1/2 binary64))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x))
(*.f64 x #s(literal -1/2 binary64))
(+ (* x -1/2) (/ (* z z) x))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (* z z) x)
(/.f64 (*.f64 z z) x)
(* z z)
(*.f64 z z)
z
(/ (* z (+ (* 1/2 (cos (* y 2))) -1/2)) (sin y))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (sin.f64 y)))
(* z (+ (* 1/2 (cos (* y 2))) -1/2))
(.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
z
(+ (* 1/2 (cos (* y 2))) -1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(* 1/2 (cos (* y 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(cos (* y 2))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)
(sin y)
(sin.f64 y)

localize521.0ms (4.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	92.6%	(.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
✓	accuracy	90.3%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
✓	accuracy	72.8%	(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z))
✓	accuracy	87.7%	(/.f64 (*.f64 z z) x)
✓	accuracy	48.4%	(-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/24 binary64))
✓	accuracy	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

Results

202.0ms	65×	2	valid
198.0ms	128×	1	valid
50.0ms	63×	0	valid

Compiler

Compiled 380 to 44 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-mult: 58.0ms (27.4% of total)

backward-pass: 49.0ms (23.1% of total)

ival-cos: 41.0ms (19.3% of total)

ival-sub: 21.0ms (9.9% of total)

ival-add: 15.0ms (7.1% of total)

ival-div: 11.0ms (5.2% of total)

ival-sin: 9.0ms (4.2% of total)

...c/correct-round.rkt:119:19: 8.0ms (3.8% of total)

const: 2.0ms (0.9% of total)

series52.0ms (0.5%)

Counts

24 → 564

Calls

Call 1

Inputs
#<alt (* (+ (* x (cos y)) (* z (sin y))) (* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y))))))>
#<alt (* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (- x (* z y))>
#<alt (* z y)>
#<alt (* x (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2))))>
#<alt (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2)))>
#<alt (* (* y y) (+ (* (* y y) 1/24) -1/2))>
#<alt (* y y)>
#<alt (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x))>
#<alt (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))>
#<alt (+ x (* y (- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)))>
#<alt (* y (- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z))>
#<alt (/ (* z (+ (* 1/2 (cos (* y 2))) -1/2)) (sin y))>
#<alt (* z (+ (* 1/2 (cos (* y 2))) -1/2))>
#<alt (+ (* 1/2 (cos (* y 2))) -1/2)>
#<alt (* 1/2 (cos (* y 2)))>
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))>
#<alt (* z (sin y))>
#<alt (* (* y y) 1/24)>
#<alt (+ (* (* y y) 1/24) -1/2)>
#<alt (/ (* z z) x)>
#<alt (sin y)>

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

Calls

141 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
3.0ms	y	@	-inf	(/ 1 (+ (* x (cos y)) (* z (sin y))))
3.0ms	z	@	inf	(* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
2.0ms	x	@	0	(* x (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2))))
1.0ms	z	@	0	(/ (* z (+ (* 1/2 (cos (* y 2))) -1/2)) (sin y))

rewrite405.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2680×	`-lowering-.f32`
2680×	`-lowering-.f64`
2422×	`fma-lowering-fma.f32`
2422×	`fma-lowering-fma.f64`
1726×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	226
1	289	173
2	3005	169
0	8967	169

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 533

Calls

Call 1

Inputs
(* (+ (* x (cos y)) (* z (sin y))) (* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y))))))
(* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(- x (* z y))
(* z y)
(* x (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2))))
(+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2)))
(* (* y y) (+ (* (* y y) 1/24) -1/2))
(* y y)
(- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x))
(- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))
(+ x (* y (- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z)))
(* y (- (* y (- (- 0 x) (- (+ (* x -1/2) (/ (* z z) x)) (/ (* z z) x)))) z))
(/ (* z (+ (* 1/2 (cos (* y 2))) -1/2)) (sin y))
(* z (+ (* 1/2 (cos (* y 2))) -1/2))
(+ (* 1/2 (cos (* y 2))) -1/2)
(* 1/2 (cos (* y 2)))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(* z (sin y))
(* (* y y) 1/24)
(+ (* (* y y) 1/24) -1/2)
(/ (* z z) x)
(sin y)

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

simplify414.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

6090×	`-lowering-.f32`
6090×	`-lowering-.f64`
2518×	`+-lowering-+.f64`
2518×	`+-lowering-+.f32`
2294×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	656	5895
1	2364	5011
0	8392	5011

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
-1
(- (* x (- (/ (cos y) (* z (sin y))) (* -1 (/ (cos y) (* z (sin y)))))) 1)
(- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (/ (cos y) (* z (sin y))) (* -1 (/ (cos y) (* z (sin y))))))) (* z (sin y)))) (/ (cos y) (* z (sin y)))) (* -1 (/ (cos y) (* z (sin y)))))) 1)
(- (* x (- (+ (* x (- (/ (* x (* (pow (cos y) 2) (- (/ (cos y) (* z (sin y))) (* -1 (/ (cos y) (* z (sin y))))))) (* (pow z 2) (pow (sin y) 2))) (/ (* (cos y) (- (/ (cos y) (* z (sin y))) (* -1 (/ (cos y) (* z (sin y)))))) (* z (sin y))))) (/ (cos y) (* z (sin y)))) (* -1 (/ (cos y) (* z (sin y)))))) 1)
1
(- (+ 1 (* -1 (/ (* z (sin y)) (* x (cos y))))) (/ (* z (sin y)) (* x (cos y))))
(- (+ 1 (+ (* -1 (/ (* z (sin y)) (* x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* z (sin y)) (cos y))) (/ (* z (sin y)) (cos y))))) (* (pow x 2) (cos y)))))) (/ (* z (sin y)) (* x (cos y))))
(- (+ 1 (+ (* -1 (/ (* z (sin y)) (* x (cos y)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (* -1 (/ (* z (sin y)) (cos y))) (/ (* z (sin y)) (cos y))))) (* (pow x 3) (pow (cos y) 2))))) (+ (/ (* z (sin y)) (* x (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* z (sin y)) (cos y))) (/ (* z (sin y)) (cos y))))) (* (pow x 2) (cos y)))))
1
(+ 1 (* -1 (/ (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y)))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y)))))) (* x (cos y)))) (/ (* z (sin y)) (cos y))) (* -1 (/ (* z (sin y)) (cos y)))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y)))))) (cos y)))) x)) (/ (* z (sin y)) (cos y))) (* -1 (/ (* z (sin y)) (cos y)))) x)))
1
(+ 1 (* y (- (* -1 (/ z x)) (/ z x))))
(+ 1 (* y (- (+ (* -1 (/ z x)) (* -1 (/ (* y (* z (- (* -1 (/ z x)) (/ z x)))) x))) (/ z x))))
(+ 1 (* y (- (+ (* -1 (/ z x)) (* y (- (* y (- (* 1/6 (/ z x)) (+ (* -1 (/ (* (pow z 2) (- (* -1 (/ z x)) (/ z x))) (pow x 2))) (+ (* -1/2 (- (* -1 (/ z x)) (/ z x))) (* -1/6 (/ z x)))))) (/ (* z (- (* -1 (/ z x)) (/ z x))) x)))) (/ z x))))
(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
1
(+ 1 (* z (- (* -1 (/ (sin y) (* x (cos y)))) (/ (sin y) (* x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (* x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (* x (cos y)))) (/ (sin y) (* x (cos y)))))) (* x (cos y))))) (/ (sin y) (* x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (* x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (* x (cos y)))) (/ (sin y) (* x (cos y)))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (sin y) (- (* -1 (/ (sin y) (* x (cos y)))) (/ (sin y) (* x (cos y))))) (* x (cos y)))))) (/ (sin y) (* x (cos y))))))
-1
(- (/ (* x (cos y)) (* z (sin y))) (+ 1 (* -1 (/ (* x (cos y)) (* z (sin y))))))
(- (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (sin y)) (* -1 (/ (* x (cos y)) (sin y)))))) (* (pow z 2) (sin y)))) (/ (* x (cos y)) (* z (sin y)))) (+ 1 (* -1 (/ (* x (cos y)) (* z (sin y))))))
(- (+ (/ (* x (cos y)) (* z (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (sin y)) (* -1 (/ (* x (cos y)) (sin y)))))) (* (pow z 3) (pow (sin y) 2)))) (+ 1 (+ (* -1 (/ (* x (cos y)) (* z (sin y)))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (sin y)) (* -1 (/ (* x (cos y)) (sin y)))))) (* (pow z 2) (sin y))))))
-1
(- (* -1 (/ (- (* -1 (/ (* x (cos y)) (sin y))) (/ (* x (cos y)) (sin y))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (* x (cos y)) (sin y))) (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* x (cos y)) (sin y))) (/ (* x (cos y)) (sin y))))) (* z (sin y))))) (/ (* x (cos y)) (sin y))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (* x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -1 (/ (* x (cos y)) (sin y))) (/ (* x (cos y)) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* x (cos y)) (sin y))) (/ (* x (cos y)) (sin y))))) (sin y)))) z))) (/ (* x (cos y)) (sin y))) z)) 1)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))
(* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))
(* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (+ x (* -1/2 x)))
(* -1 (* y z))
(+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1 (* y (+ x (* -1/2 x)))))))
(+ x (* y (+ (* -1 z) (* -1 (* y (+ x (* -1/2 x)))))))
(* -1 (* (pow y 2) (+ x (* -1/2 x))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ z y))))
(* (pow y 2) (- (+ (* -1 (+ x (* -1/2 x))) (/ x (pow y 2))) (/ z y)))
(* (pow y 2) (- (+ (* -1 (+ x (* -1/2 x))) (/ x (pow y 2))) (/ z y)))
(* -1 (* (pow y 2) (+ x (* -1/2 x))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ z y))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ (+ z (* -1 (/ x y))) y))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ (+ z (* -1 (/ x y))) y))))
(+ x (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z)) (/ x z))))
(* z (+ (* -1 y) (+ (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z)) (/ x z))))
(* z (+ (* -1 y) (+ (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z)) (/ x z))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) z)))))
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (* y (+ x (* -1/2 x))))))
(* y (+ (* -1 z) (* -1 (* y (+ x (* -1/2 x))))))
(* y (+ (* -1 z) (* -1 (* y (+ x (* -1/2 x))))))
(* -1 (* (pow y 2) (+ x (* -1/2 x))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ z y))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ z y))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ z y))))
(* -1 (* (pow y 2) (+ x (* -1/2 x))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ z y))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ z y))))
(* (pow y 2) (+ (* -1 (+ x (* -1/2 x))) (* -1 (/ z y))))
(* -1 (* y z))
(+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))
(+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))
(+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(* x (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(* x (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(* -1/2 (* x (pow y 2)))
(* -1 (* x (+ (* 1/2 (pow y 2)) (/ (* y z) x))))
(* -1 (* x (+ (* 1/2 (pow y 2)) (/ (* y z) x))))
(* -1 (* x (+ (* 1/2 (pow y 2)) (/ (* y z) x))))
(* -1 (* (pow y 2) (+ x (* -1/2 x))))
(+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(* -1 (* y z))
(* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z))))
(* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z))))
(* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z))))
(* -1 (* y z))
(* -1 (* z (+ y (/ (* (pow y 2) (+ x (* -1/2 x))) z))))
(* -1 (* z (+ y (/ (* (pow y 2) (+ x (* -1/2 x))) z))))
(* -1 (* z (+ y (/ (* (pow y 2) (+ x (* -1/2 x))) z))))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(* -1 (* y z))
(* y (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/6 (- (* 1/3 z) (* 1/6 z))) (* -1/120 z))))) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (+ (* -2/45 z) (* (pow y 2) (- (* 1/315 z) (+ (* -1/6 (- (* -2/45 z) (+ (* -1/6 (- (* 1/3 z) (* 1/6 z))) (* -1/120 z)))) (+ (* 1/5040 z) (* 1/120 (- (* 1/3 z) (* 1/6 z)))))))) (+ (* -1/6 (- (* 1/3 z) (* 1/6 z))) (* -1/120 z))))) (* 1/6 z)))))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* -1 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z))))))))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* z (- (* 1/2 (cos (* 2 y))) 1/2))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/3 (pow y 2)) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1))
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
(- (* 1/2 (cos (* 2 y))) 1/2)
1/2
(+ 1/2 (* -1 (pow y 2)))
(+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)

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

eval238.0ms (2.2%)

Compiler: Compiled 38993 to 3054 computations (92.2% saved)

prune162.0ms (1.5%)

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	1353	22	1375
Fresh	4	18	22
Picked	1	4	5
Done	0	4	4
Total	1358	48	1406

Accuracy

100.0%

Counts

1406 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	25.1%	(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (.f64 z (sin.f64 y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	28.2%	(/.f64 (/.f64 (.f64 (+.f64 (.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))))))) #s(literal -1/4 binary64)) z) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sin.f64 y))
	41.4%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x (cos.f64 y)) x) (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)))))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
	20.7%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
	32.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
	29.0%	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (+.f64 x (*.f64 y z)))
	31.8%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	28.3%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
▶	57.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	37.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
	20.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	43.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	32.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	78.3%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	52.6%	(-.f64 x (*.f64 z y))
	43.6%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶	18.4%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
▶	36.0%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
	36.1%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
✓	34.3%	(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
	51.6%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
	48.6%	(+.f64 x (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 (.f64 z y) x))))
	35.8%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	28.3%	(.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) z)
	28.3%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
	20.7%	(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
	28.9%	(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
	51.4%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal -1/6 binary64)))))))))))
	23.2%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
	11.0%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
▶	89.9%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	46.7%	(*.f64 z (-.f64 (/.f64 x z) y))
	43.1%	(*.f64 y (-.f64 (/.f64 x y) z))
	18.1%	(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64)))) z))
	18.4%	(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y (-.f64 (-.f64 (.f64 z #s(literal 1/315 binary64)) (+.f64 (.f64 z #s(literal 1/5040 binary64)) (.f64 z #s(literal 1/720 binary64)))) (.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64))))))) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))))) (.f64 z #s(literal 1/6 binary64)))) z))
	18.6%	(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
	3.0%	(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
	49.9%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
	36.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
✓	36.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
▶	35.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
✓	57.9%	(*.f64 x (cos.f64 y))
✓	37.5%	x

Compiler

Compiled 1843 to 1101 computations (40.3% saved)

simplify231.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	128	(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/24 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(/.f64 (*.f64 x (cos.f64 y)) z)
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	cost-diff	128	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))

Rules

3636×	`-lowering-.f32`
3636×	`-lowering-.f64`
1592×	`sum5-define`
1474×	`fma-lowering-fma.f32`
1474×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	231
1	111	212
2	328	207
3	967	204
4	1827	202
5	2322	202
6	3516	202
7	6666	202
0	8179	202

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* z (- (/ (* x (cos y)) z) (sin y)))
z
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (cos y))
x
(cos y)
y
(sin y)
(- 0 (* z y))
0
(* z y)
z
y
(* x (+ 1 (* (* y y) (* (* y y) 1/24))))
x
(+ 1 (* (* y y) (* (* y y) 1/24)))
1
(* (* y y) (* (* y y) 1/24))
(* y y)
y
(* (* y y) 1/24)
1/24
(+ x (* (* y y) (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))))
x
(* (* y y) (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24)))))
(* y y)
y
(+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))
(* x -1/2)
-1/2
(* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24)))
(+ (* (* x (* y y)) -1/720) (* x 1/24))
(* (* x (* y y)) -1/720)
(* x (* y y))
-1/720
(* x 1/24)
1/24
(/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
(* x (+ 1/2 (* 1/2 (cos (* y 2)))))
x
(+ 1/2 (* 1/2 (cos (* y 2))))
1/2
(* 1/2 (cos (* y 2)))
(cos (* y 2))
(* y 2)
y
2
(cos y)

Outputs
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
z
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(cos y)
(cos.f64 y)
y
(sin y)
(sin.f64 y)
(- 0 (* z y))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
0
#s(literal 0 binary64)
(* z y)
(*.f64 z y)
z
y
(* x (+ 1 (* (* y y) (* (* y y) 1/24))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y y))))))
x
(+ 1 (* (* y y) (* (* y y) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y y)))))
1
#s(literal 1 binary64)
(* (* y y) (* (* y y) 1/24))
(.f64 y (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y y))))
(* y y)
(*.f64 y y)
y
(* (* y y) 1/24)
(.f64 y (.f64 y #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)
(+ x (* (* y y) (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
x
(* (* y y) (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24)))))
(.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(* y y)
(*.f64 y y)
y
(+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24)))
(.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))
(+ (* (* x (* y y)) -1/720) (* x 1/24))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))
(* (* x (* y y)) -1/720)
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* x (* y y))
(.f64 x (.f64 y y))
-1/720
#s(literal -1/720 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(* x (+ 1/2 (* 1/2 (cos (* y 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
x
(+ 1/2 (* 1/2 (cos (* y 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* y 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(cos (* y 2))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(cos y)
(cos.f64 y)

localize430.0ms (3.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	accuracy	99.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	accuracy	99.3%	(+.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 x (*.f64 y y)) #s(literal -1/720 binary64))
✓	accuracy	95.4%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	95.3%	(.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	88.7%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/24 binary64))
✓	accuracy	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(/.f64 (*.f64 x (cos.f64 y)) z)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	90.0%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))

Results

383.0ms

256×

valid

Compiler

Compiled 266 to 39 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-cos: 46.0ms (38.1% of total)

ival-mult: 27.0ms (22.4% of total)

ival-sub: 21.0ms (17.4% of total)

...c/correct-round.rkt:119:19: 8.0ms (6.6% of total)

ival-sin: 7.0ms (5.8% of total)

ival-add: 6.0ms (5% of total)

ival-div: 4.0ms (3.3% of total)

const: 1.0ms (0.8% of total)

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

series45.0ms (0.4%)

Counts

24 → 516

Calls

Call 1

Inputs
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (cos y))>
#<alt (- 0 (* z y))>
#<alt (* z y)>
#<alt (* x (+ 1 (* (* y y) (* (* y y) 1/24))))>
#<alt (+ 1 (* (* y y) (* (* y y) 1/24)))>
#<alt (* (* y y) (* (* y y) 1/24))>
#<alt (* y y)>
#<alt (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))>
#<alt (+ (* (* x (* y y)) -1/720) (* x 1/24))>
#<alt (+ x (* (* y y) (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))))>
#<alt (* (* y y) (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24)))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* y 2)))))>
#<alt (+ 1/2 (* 1/2 (cos (* y 2))))>
#<alt (* 1/2 (cos (* y 2)))>
#<alt (sin y)>
#<alt (* (* y y) 1/24)>
#<alt (* x (* y y))>
#<alt (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24)))>
#<alt (* (* x (* y y)) -1/720)>
#<alt (cos y)>

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

Calls

129 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	(+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))
3.0ms	z	@	0	(* z (- (/ (* x (cos y)) z) (sin y)))
1.0ms	x	@	0	(+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))
1.0ms	x	@	0	(* x (+ 1 (* (* y y) (* (* y y) 1/24))))
1.0ms	x	@	inf	(+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))

rewrite411.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4084×	`-lowering-.f32`
4084×	`-lowering-.f64`
2730×	`/-lowering-/.f32`
2730×	`/-lowering-/.f64`
1786×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	195
1	212	176
2	1966	159
0	8334	159

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 536

Calls

Call 1

Inputs
(* z (- (/ (* x (cos y)) z) (sin y)))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (cos y))
(- 0 (* z y))
(* z y)
(* x (+ 1 (* (* y y) (* (* y y) 1/24))))
(+ 1 (* (* y y) (* (* y y) 1/24)))
(* (* y y) (* (* y y) 1/24))
(* y y)
(+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))
(+ (* (* x (* y y)) -1/720) (* x 1/24))
(+ x (* (* y y) (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24))))))
(* (* y y) (+ (* x -1/2) (* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
(* x (+ 1/2 (* 1/2 (cos (* y 2)))))
(+ 1/2 (* 1/2 (cos (* y 2))))
(* 1/2 (cos (* y 2)))
(sin y)
(* (* y y) 1/24)
(* x (* y y))
(* (* y y) (+ (* (* x (* y y)) -1/720) (* x 1/24)))
(* (* x (* y y)) -1/720)
(cos y)

Outputs
(+.f64 (.f64 z (/.f64 (.f64 x (cos.f64 y)) z)) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(+.f64 (.f64 (/.f64 (.f64 x (cos.f64 y)) z) z) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(fma.f64 z (/.f64 (.f64 x (cos.f64 y)) z) (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(fma.f64 (/.f64 (.f64 x (cos.f64 y)) z) z (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(/.f64 (.f64 z (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))
(/.f64 (.f64 z (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.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 x (cos.f64 y)) z) (sin.f64 y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)) (neg.f64 (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 z (/.f64 (.f64 x (cos.f64 y)) z)) #s(literal 3 binary64)) (pow.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 z (/.f64 (.f64 x (cos.f64 y)) z)) (.f64 z (/.f64 (.f64 x (cos.f64 y)) z))) (-.f64 (.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))) (.f64 (.f64 z (/.f64 (.f64 x (cos.f64 y)) z)) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 x (cos.f64 y)) z) z) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (/.f64 (.f64 x (cos.f64 y)) z) z) (.f64 (/.f64 (.f64 x (cos.f64 y)) z) z)) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z) (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z)) (.f64 (.f64 (/.f64 (.f64 x (cos.f64 y)) z) z) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(.f64 (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)) z)
(+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))))
(fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (cos.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (cos.f64 y) (/.f64 x z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) z) x (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))) (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 x (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))) (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 x (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.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 x (cos.f64 y)) z) (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.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 x (cos.f64 y)) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))) (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))) (+.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))))
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(/.f64 (.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 y y)) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (neg.f64 (+.f64 (.f64 (.f64 y (.f64 y (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (.f64 y (.f64 y (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))) (-.f64 (.f64 (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (.f64 (.f64 y (.f64 y (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (.f64 x (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (.f64 y (.f64 y (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))) (.f64 (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)))))) (neg.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) #s(literal 1/518400 binary64)) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) (neg.f64 (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 y y))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) #s(literal 1/518400 binary64)) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 y y))) (neg.f64 (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (+.f64 (.f64 (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 y (.f64 y (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (.f64 y (.f64 y (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))) (.f64 (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(.f64 y (.f64 y (.f64 x (+.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(.f64 (.f64 y y) (.f64 x (+.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(.f64 (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 y y))
(.f64 (.f64 y (.f64 x (+.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) y)
(.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (-.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) x) (/.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/720 binary64)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 y y)))
(.f64 (.f64 x y) (*.f64 y #s(literal -1/720 binary64)))
(.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) x)
(.f64 (.f64 #s(literal -1/720 binary64) x) (*.f64 y y))
(.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x y)) y)
(cos.f64 y)

simplify391.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3520×	`+-lowering-+.f64`
3520×	`+-lowering-+.f32`
3464×	`-lowering-.f32`
3464×	`-lowering-.f64`
2506×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	254	4623
1	844	3962
2	2765	3881
3	7035	3879
0	8383	3879

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

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

eval187.0ms (1.7%)

Compiler: Compiled 27993 to 2241 computations (92% saved)

prune152.0ms (1.4%)

Pruning

52 alts after pruning (44 fresh and 8 done)

	Pruned	Kept	Total
New	1122	15	1137
Fresh	6	29	35
Picked	5	0	5
Done	0	8	8
Total	1133	52	1185

Accuracy

100.0%

Counts

1185 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.2%	(/.f64 (/.f64 (.f64 (+.f64 (.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))))))) #s(literal -1/4 binary64)) z) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sin.f64 y))
	20.7%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
	32.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
	29.0%	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (+.f64 x (*.f64 y z)))
	7.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 z y)))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 (.f64 z y) (.f64 y (.f64 z (.f64 z y)))))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 y (.f64 z (.f64 z y)))))
	57.7%	(/.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 x #s(literal 1/2 binary64))) (cos.f64 y))
✓	28.3%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
	39.3%	(/.f64 x (cos.f64 y))
	37.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
	20.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	43.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	32.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	78.3%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	52.6%	(-.f64 x (*.f64 z y))
	5.3%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
	43.6%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	35.7%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
	36.1%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
	36.0%	(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
	35.5%	(+.f64 x (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
	35.8%	(+.f64 x (.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64))))
✓	34.3%	(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
	51.6%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
	48.6%	(+.f64 x (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 (.f64 z y) x))))
	28.3%	(.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) z)
	28.3%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
	20.7%	(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
	28.9%	(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
	51.4%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal -1/6 binary64)))))))))))
	57.7%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
	23.2%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
	11.0%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
	3.5%	(.f64 (.f64 y y) (.f64 x (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
	18.4%	(*.f64 (neg.f64 y) z)
	48.0%	(.f64 z (/.f64 (.f64 x (cos.f64 y)) z))
	31.6%	(*.f64 z (/.f64 x z))
	46.7%	(*.f64 z (-.f64 (/.f64 x z) y))
	89.9%	(.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
	89.8%	(.f64 z (-.f64 (.f64 (cos.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z))) (sin.f64 y)))
	43.1%	(*.f64 y (-.f64 (/.f64 x y) z))
	18.1%	(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64)))) z))
	18.4%	(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y (-.f64 (-.f64 (.f64 z #s(literal 1/315 binary64)) (+.f64 (.f64 z #s(literal 1/5040 binary64)) (.f64 z #s(literal 1/720 binary64)))) (.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64))))))) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))))) (.f64 z #s(literal 1/6 binary64)))) z))
	18.6%	(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
	3.0%	(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
	49.9%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
✓	36.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	57.9%	(*.f64 x (cos.f64 y))
✓	37.5%	x

Compiler

Compiled 2470 to 922 computations (62.7% saved)

regimes129.0ms (1.2%)

Counts

77 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 (.f64 y y) (.f64 x (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
(+.f64 x (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 (.f64 z y) x))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (+.f64 x (*.f64 y z)))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64)))) z))
(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 z y)))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 (.f64 z y) (.f64 y (.f64 z (.f64 z y)))))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 y (.f64 z (.f64 z y)))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y (-.f64 (-.f64 (.f64 z #s(literal 1/315 binary64)) (+.f64 (.f64 z #s(literal 1/5040 binary64)) (.f64 z #s(literal 1/720 binary64)))) (.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64))))))) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))))) (.f64 z #s(literal 1/6 binary64)))) z))
(*.f64 x (cos.f64 y))
(/.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 z (/.f64 (.f64 x (cos.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(.f64 z (-.f64 (.f64 (cos.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z))) (sin.f64 y)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 x #s(literal 1/2 binary64))) (cos.f64 y))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (/.f64 (.f64 (+.f64 (.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))))))) #s(literal -1/4 binary64)) z) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sin.f64 y))
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
(/.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 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (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 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 (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal -1/6 binary64)))))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (cos.f64 y)) x) (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)))))) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (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 (cos.f64 y)) (.f64 z (sin.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 (cos.f64 y)) (.f64 z (sin.f64 y))))))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 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 (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (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 (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (.f64 z (sin.f64 y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.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))))))))))

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

Calls

4 calls:

35.0ms	x
22.0ms	y
21.0ms	z
21.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes51.0ms (0.5%)

Counts

50 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 (.f64 y y) (.f64 x (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
(+.f64 x (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 (.f64 z y) x))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (+.f64 x (*.f64 y z)))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64)))) z))
(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 z y)))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 (.f64 z y) (.f64 y (.f64 z (.f64 z y)))))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 y (.f64 z (.f64 z y)))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y (-.f64 (-.f64 (.f64 z #s(literal 1/315 binary64)) (+.f64 (.f64 z #s(literal 1/5040 binary64)) (.f64 z #s(literal 1/720 binary64)))) (.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64))))))) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))))) (.f64 z #s(literal 1/6 binary64)))) z))
(*.f64 x (cos.f64 y))
(/.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 z (/.f64 (.f64 x (cos.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))

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

Calls

3 calls:

16.0ms	y
16.0ms	x
14.0ms	z

Results

Accuracy	Segments	Branch
89.9%	3	`x`
80.9%	2	`y`
86.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes47.0ms (0.4%)

Counts

47 → 4

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 (.f64 y y) (.f64 x (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
(+.f64 x (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 (.f64 z y) x))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (+.f64 x (*.f64 y z)))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64)))) z))
(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 z y)))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 (.f64 z y) (.f64 y (.f64 z (.f64 z y)))))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 y (.f64 z (.f64 z y)))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y (-.f64 (-.f64 (.f64 z #s(literal 1/315 binary64)) (+.f64 (.f64 z #s(literal 1/5040 binary64)) (.f64 z #s(literal 1/720 binary64)))) (.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64))))))) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))))) (.f64 z #s(literal 1/6 binary64)))) z))
(*.f64 x (cos.f64 y))
(/.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))

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

Calls

3 calls:

14.0ms	x
14.0ms	z
14.0ms	y

Results

Accuracy	Segments	Branch
79.9%	4	`y`
76.3%	3	`z`
75.5%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes46.0ms (0.4%)

Counts

45 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 (.f64 y y) (.f64 x (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
(+.f64 x (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 (.f64 z y) x))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (+.f64 x (*.f64 y z)))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64)))) z))
(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 z y)))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 (.f64 z y) (.f64 y (.f64 z (.f64 z y)))))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 y (.f64 z (.f64 z y)))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y (-.f64 (-.f64 (.f64 z #s(literal 1/315 binary64)) (+.f64 (.f64 z #s(literal 1/5040 binary64)) (.f64 z #s(literal 1/720 binary64)))) (.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64))))))) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))))) (.f64 z #s(literal 1/6 binary64)))) z))
(*.f64 x (cos.f64 y))
(/.f64 x (cos.f64 y))

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

Calls

3 calls:

15.0ms	y
13.0ms	z
13.0ms	x

Results

Accuracy	Segments	Branch
67.5%	3	`x`
68.1%	3	`z`
73.7%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes140.0ms (1.3%)

Counts

43 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 (.f64 y y) (.f64 x (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
(+.f64 x (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (/.f64 (.f64 z y) x))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (+.f64 x (*.f64 y z)))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64)))) z))
(+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 z y)))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 (.f64 z y) (.f64 y (.f64 z (.f64 z y)))))) (.f64 (.f64 y (.f64 z (.f64 z y))) (.f64 y (.f64 z (.f64 z y)))))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y (-.f64 (-.f64 (.f64 z #s(literal 1/315 binary64)) (+.f64 (.f64 z #s(literal 1/5040 binary64)) (.f64 z #s(literal 1/720 binary64)))) (.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64))))))) (+.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/36 binary64))) (.f64 z #s(literal 1/120 binary64)))))) (.f64 z #s(literal 1/6 binary64)))) z))

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

Calls

3 calls:

67.0ms	y
59.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`z`
52.6%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))

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

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
37.5%	1	`y`
42.0%	3	`x`
44.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
37.5%	1	`x`
37.5%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch175.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
64.0ms	7.267488155515728e+74	2.4942730333172886e+95
66.0ms	-5.903366418485834e+137	-3.9395636641931493e+124

Results

119.0ms

336×

valid

Compiler

Compiled 396 to 286 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 45.0ms (71.9% of total)

ival-cos: 8.0ms (12.8% of total)

ival-sin: 8.0ms (12.8% of total)

ival-sub: 2.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

bsearch69.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	430.9184119952419	1765.124454893429
13.0ms	-3.2078464032651675	-0.09833973973265711
36.0ms	-3.539721989848013e+180	-4.2229734839622324e+167

Results

52.0ms

368×

valid

Compiler

Compiled 601 to 439 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sin: 20.0ms (51.6% of total)

ival-cos: 11.0ms (28.4% of total)

ival-mult: 6.0ms (15.5% of total)

ival-sub: 2.0ms (5.2% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.856133653826788e-7	430.9184119952419
16.0ms	-0.023522069550443305	-2.252291317226584e-6

Results

25.0ms

272×

valid

Compiler

Compiled 511 to 353 computations (30.9% saved)

Precisions

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

ival-cos: 5.0ms (33.1% of total)

ival-mult: 5.0ms (33.1% of total)

ival-sin: 3.0ms (19.9% of total)

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

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.492522602850479e+168	4.3390664133352065e+168
13.0ms	-53300827733739.3	-4144052215414.9272

Results

17.0ms

160×

valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 4.0ms (35.4% of total)

ival-mult: 3.0ms (26.6% of total)

ival-sin: 3.0ms (26.6% of total)

ival-sub: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
22×	`+-commutative_binary64`
18×	`sub-neg_binary64`
10×	`cancel-sign-sub-inv_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	117
1	97	117
2	115	117
3	123	117
4	127	117
5	128	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -79999999999999996394328534279835788762401800699068192947837007860143083602329396977235121218384458406950179019095594487328538624 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 25499999999999998992733459024096504802784923735143613521382780638752496255899434745856 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -16000000000000000119183688033189118263071919017330461957754280661002237639485058564219518021982512934535449641644554340539606941324956370929449107857859821393544622357767027425280 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -1080863910568919/9007199254740992 binary64)) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 y #s(literal 435 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))))
(if (<=.f64 y #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/36028797018963968 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -52000000000000 binary64)) (.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 2999999999999999801581484504228923687115850649290994555835078466923101940098810942877077297787537841512743663799095564426618142440334438379838375516211185852483155001344 binary64)) x (.f64 (neg.f64 y) z)))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -79999999999999996394328534279835788762401800699068192947837007860143083602329396977235121218384458406950179019095594487328538624 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 25499999999999998992733459024096504802784923735143613521382780638752496255899434745856 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -16000000000000000119183688033189118263071919017330461957754280661002237639485058564219518021982512934535449641644554340539606941324956370929449107857859821393544622357767027425280 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -1080863910568919/9007199254740992 binary64)) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 y #s(literal 435 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))))
(if (<=.f64 y #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/36028797018963968 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -52000000000000 binary64)) (.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 2999999999999999801581484504228923687115850649290994555835078466923101940098810942877077297787537841512743663799095564426618142440334438379838375516211185852483155001344 binary64)) x (.f64 (neg.f64 y) z)))
(if (<=.f64 z #s(literal -52000000000000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 2999999999999999801581484504228923687115850649290994555835078466923101940098810942877077297787537841512743663799095564426618142440334438379838375516211185852483155001344 binary64)) x (-.f64 #s(literal 0 binary64) (.f64 y z))))
x

soundness1.4s (12.7%)

Rules

6090×	`-lowering-.f32`
6090×	`-lowering-.f64`
4084×	`-lowering-.f32`
4084×	`-lowering-.f64`
3562×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	195
1	212	176
2	1966	159
0	8334	159
0	112	665
1	364	613
2	1155	605
3	3557	600
4	6429	600
0	8161	600
0	656	5895
1	2364	5011
0	8392	5011

Stop Event

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

Compiler

Compiled 255 to 133 computations (47.8% saved)

preprocess45.0ms (0.4%)

Compiler: Compiled 298 to 120 computations (59.7% saved)

analyze0.0ms (0%)

sample1.3s (12.1%)

preprocess97.0ms (0.9%)

explain157.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.3%)

localize61.0ms (0.6%)

series8.0ms (0.1%)

rewrite310.0ms (2.8%)

simplify238.0ms (2.2%)

eval29.0ms (0.3%)

prune40.0ms (0.4%)

simplify239.0ms (2.2%)

localize394.0ms (3.6%)

series366.0ms (3.3%)

rewrite550.0ms (5%)

simplify482.0ms (4.4%)

eval318.0ms (2.9%)

prune254.0ms (2.3%)

simplify221.0ms (2%)

localize521.0ms (4.8%)

series52.0ms (0.5%)

rewrite405.0ms (3.7%)

simplify414.0ms (3.8%)

eval238.0ms (2.2%)

prune162.0ms (1.5%)

simplify231.0ms (2.1%)

localize430.0ms (3.9%)

series45.0ms (0.4%)

rewrite411.0ms (3.8%)

simplify391.0ms (3.6%)

eval187.0ms (1.7%)

prune152.0ms (1.4%)

regimes129.0ms (1.2%)

regimes51.0ms (0.5%)

regimes47.0ms (0.4%)

regimes46.0ms (0.4%)

regimes140.0ms (1.3%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch175.0ms (1.6%)

bsearch69.0ms (0.6%)

bsearch38.0ms (0.4%)

bsearch24.0ms (0.2%)

simplify13.0ms (0.1%)

soundness1.4s (12.7%)

preprocess45.0ms (0.4%)

end0.0ms (0%)

Profiling