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 (10.1%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 739.0ms

ival-cos: 282.0ms (38.1% of total)

ival-sin: 235.0ms (31.8% of total)

ival-mult: 170.0ms (23% of total)

ival-sub: 42.0ms (5.7% of total)

const: 7.0ms (0.9% of total)

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

Bogosity

preprocess98.0ms (0.8%)

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)))

explain131.0ms (1%)

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

79.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-mult: 21.0ms (41.1% of total)

ival-sin: 15.0ms (29.4% of total)

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

ival-sub: 3.0ms (5.9% of total)

const: 1.0ms (2% 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)

simplify29.0ms (0.2%)

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)

localize44.0ms (0.3%)

Localize:

Found 4 expressions of interest:

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

Results

35.0ms

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: 6.0ms (32.7% of total)

ival-mult: 5.0ms (27.2% of total)

ival-sin: 5.0ms (27.2% of total)

ival-sub: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	(- (* x (cos y)) (* z (sin y)))
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)))
0.0ms	y	@	0	(- (* x (cos y)) (* z (sin y)))

rewrite277.0ms (2.1%)

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	18
1	36	18
2	257	18
3	3520	18
0	8466	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 152

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (-.f64 #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))))))
(-.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))))))
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(.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)))

simplify220.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2646×	`-lowering-.f32`
2646×	`-lowering-.f64`
1912×	`fma-lowering-fma.f32`
1912×	`fma-lowering-fma.f64`
1582×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	605
1	313	565
2	1024	559
3	2853	556
4	5204	556
0	8112	556

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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))

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

eval31.0ms (0.2%)

Compiler: Compiled 6916 to 499 computations (92.8% saved)

prune37.0ms (0.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	232	16	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	232	17	249

Accuracy

99.9%

Counts

249 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
	22.5%	(/.f64 (-.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 (.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 z (sin.f64 y)) #s(literal 3 binary64)))) (pow.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))))) #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)))))
▶	41.2%	(-.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)))
	77.2%	(-.f64 x (*.f64 z (sin.f64 y)))
	52.4%	(-.f64 x (*.f64 z y))
	42.1%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	52.0%	(+.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)))
	51.8%	(+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
	41.3%	(.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)))
	41.3%	(.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)))))))
	37.0%	(.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))))))))
	87.3%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
▶	59.3%	(*.f64 x (cos.f64 y))
▶	37.9%	x

Compiler

Compiled 906 to 444 computations (51% saved)

simplify203.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))
✓	cost-diff	0	(+.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 #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)))))
✓	cost-diff	128	(-.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))))))
✓	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)))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	6400	(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))

Rules

3572×	`-lowering-.f32`
3572×	`-lowering-.f64`
1332×	`times-frac`
1138×	`+-lowering-+.f64`
1138×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	235
1	83	232
2	189	229
3	616	229
4	2230	229
5	7305	229
0	8144	229

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize301.0ms (2.3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	87.9%	(.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)))))
✓	accuracy	77.2%	(/.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	75.2%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	66.8%	(/.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	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)))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Results

140.0ms	122×	1	valid
51.0ms	129×	0	valid
8.0ms	5×	2	valid

Compiler

Compiled 266 to 30 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-cos: 36.0ms (25.7% of total)

ival-sin: 36.0ms (25.7% of total)

ival-mult: 28.0ms (20% of total)

ival-div: 10.0ms (7.1% of total)

backward-pass: 9.0ms (6.4% of total)

ival-sub: 8.0ms (5.7% of total)

compiled-spec: 7.0ms (5% of total)

ival-add: 6.0ms (4.3% of total)

const: 1.0ms (0.7% of total)

series80.0ms (0.6%)

Counts

17 → 456

Calls

Call 1

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

Outputs
#<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 (* -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))>
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#<alt (* (pow x 2) (+ (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))) (+ (* x (- (/ (* x (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 3))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) (* 1/2 (/ 1 (* z (sin y)))))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))) (+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 3) (pow (sin y) 3)))))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) (* 1/2 (/ 1 (* z (sin y)))))))>
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#<alt (sin y)>
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#<alt x>
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#<alt (/ z (sin y))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (/ (pow z 2) x)>
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#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>

Calls

114 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	(- (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y))))) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
3.0ms	z	@	inf	(- (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y))))) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
2.0ms	y	@	inf	(- (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y))))) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
2.0ms	y	@	-inf	(- (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y))))) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
2.0ms	y	@	inf	(/ 1 (- (* x (cos y)) (* z (sin y))))

rewrite2.2s (16.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4906×	`-lowering-.f32`
4906×	`-lowering-.f64`
2708×	`/-lowering-/.f32`
2708×	`/-lowering-/.f64`
2192×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	143
1	202	121
2	1726	119
0	11472	119

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 4236

Calls

Call 1

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

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

simplify555.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

5444×	`-lowering-.f32`
5444×	`-lowering-.f64`
3444×	`+-lowering-+.f64`
3444×	`+-lowering-+.f32`
2342×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1158	9724
1	4417	8846
0	9136	8846

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

eval1.1s (8.4%)

Compiler: Compiled 418669 to 7847 computations (98.1% saved)

prune640.0ms (4.9%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	5039	25	5064
Fresh	7	4	11
Picked	3	2	5
Done	0	1	1
Total	5049	32	5081

Accuracy

100.0%

Counts

5081 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #s(literal -1/2 binary64))
	53.3%	(/.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))) (.f64 (.f64 (cos.f64 y) x) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
	33.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) x))
	27.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
	59.1%	(/.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))
	59.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
	52.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	42.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	34.1%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
	24.1%	(/.f64 #s(literal 1 binary64) (+.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))))))
▶	99.3%	(-.f64 (/.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 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	47.4%	(-.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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	36.0%	(-.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 #s(literal 1 binary64) (/.f64 (.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 z z))))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	43.1%	(-.f64 x (.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))))))
▶	77.2%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	52.4%	(-.f64 x (*.f64 z y))
	42.1%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	36.5%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x (.f64 y y))) (*.f64 x #s(literal 1/24 binary64)))))))
	36.2%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))))
	51.8%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
	34.4%	(+.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)))
▶	52.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
	36.4%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	87.3%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	27.1%	(.f64 z (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))))
	36.5%	(.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)))))
	36.1%	(.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)))))
▶	59.1%	(.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
✓	59.3%	(*.f64 x (cos.f64 y))
✓	37.9%	x

Compiler

Compiled 1283 to 786 computations (38.7% saved)

simplify259.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))
✓	cost-diff	0	(+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
✓	cost-diff	6528	(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
✓	cost-diff	6528	(.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 x (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y z) #s(literal 1/6 binary64))))
✓	cost-diff	0	(-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z))
✓	cost-diff	0	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 x (*.f64 z y))
✓	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	13376	(-.f64 (/.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 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))

Rules

3798×	`-lowering-.f32`
3798×	`-lowering-.f64`
1870×	`fma-lowering-fma.f32`
1870×	`fma-lowering-fma.f64`
1560×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	284
1	106	271
2	306	261
3	809	258
4	2287	257
5	6231	257
0	8064	257

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize345.0ms (2.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (cos.f64 y))
✓	accuracy	99.8%	(.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
✓	accuracy	99.7%	(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))
✓	accuracy	99.3%	(+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y z) #s(literal 1/6 binary64))))
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z))
✓	accuracy	99.6%	(.f64 (.f64 y z) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	99.7%	(/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
✓	accuracy	99.7%	(.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))))))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))

Results

272.0ms

256×

valid

Compiler

Compiled 302 to 38 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-sin: 143.0ms (65.3% of total)

ival-mult: 22.0ms (10% of total)

ival-div: 14.0ms (6.4% of total)

ival-cos: 13.0ms (5.9% of total)

...c/correct-round.rkt:119:19: 11.0ms (5% of total)

ival-add: 6.0ms (2.7% of total)

ival-sub: 5.0ms (2.3% of total)

ival-pow: 3.0ms (1.4% of total)

const: 1.0ms (0.5% of total)

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

series52.0ms (0.4%)

Counts

23 → 564

Calls

Call 1

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

Outputs
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 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 (/ 1 (cos y))) (* 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 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))>
#<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))) (/ (* 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))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))>
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 z) (* -7/6 z)))) (* -1/2 x))) z)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt x>
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))>
#<alt (+ 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))))>
#<alt (+ 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))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt x>
#<alt (+ x (* -1 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (* -1 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
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#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* y z)>
#<alt (* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* 1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* 1/6 (/ (* y z) x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (* 1/6 (* y z))>
#<alt (* y (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* 1/6 (* y z))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (* 1/6 (* y z))>
#<alt (* z (+ (* -1/2 (/ x z)) (* 1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* 1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* 1/6 y)))>
#<alt (* 1/6 (* y z))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>

Calls

141 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	(- (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
4.0ms	x	@	0	(- (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
2.0ms	z	@	0	(+ x (* y (- (* y (+ (* x -1/2) (* (* y z) 1/6))) z)))
2.0ms	y	@	inf	(- (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
1.0ms	y	@	inf	(* x (* 1/2 (+ (/ (cos (* y 2)) (cos y)) (/ 1 (cos y)))))

rewrite355.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
3852×	`/-lowering-/.f32`
3852×	`/-lowering-/.f64`
1804×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	233
1	241	186
2	2545	164
0	9235	164

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 753

Calls

Call 1

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

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

simplify363.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4570×	`-lowering-.f32`
4570×	`-lowering-.f64`
2190×	`+-lowering-+.f64`
2190×	`+-lowering-+.f32`
1818×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	6486
1	1735	5840
2	6287	5837
0	8265	5837

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

Outputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.f64 x (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (.f64 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.f64 x (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (.f64 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.f64 x (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (.f64 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (+.f64 (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(.f64 x (-.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(.f64 x (-.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(.f64 x (-.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(* -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))))))
(.f64 (-.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -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))))))
(.f64 (-.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -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))))))
(.f64 (-.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 z) (* -7/6 z)))) (* -1/2 x))) 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)))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.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 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.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 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.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 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.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 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.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 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.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 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.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 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(-.f64 (.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 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) (.f64 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) (.f64 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) (.f64 z (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
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(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/6 (/ (* y z) x)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) x)))
(* x (- (* 1/6 (/ (* y z) x)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) x)))
(* x (- (* 1/6 (/ (* y z) x)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 z y) #s(literal -1/6 binary64)) x)))
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 z y) #s(literal -1/6 binary64)) x)))
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 z y) #s(literal -1/6 binary64)) x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal 1/6 binary64)))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64))))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64))))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* y z))
(.f64 (.f64 z y) #s(literal 1/6 binary64))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (-.f64 #s(literal 0 binary64) z))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) #s(literal 5/24 binary64))) y) y))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 y y) #s(literal 61/720 binary64))))))))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))

eval326.0ms (2.5%)

Compiler: Compiled 41142 to 3369 computations (91.8% saved)

prune208.0ms (1.6%)

Pruning

47 alts after pruning (41 fresh and 6 done)

	Pruned	Kept	Total
New	1386	24	1410
Fresh	7	17	24
Picked	2	3	5
Done	0	3	3
Total	1395	47	1442

Accuracy

100.0%

Counts

1442 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.4%	(/.f64 (-.f64 (.f64 (.f64 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 z (sin.f64 y)))) (cos.f64 y)) (.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
▶	99.7%	(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
	19.8%	(/.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)))))
	29.5%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 x (.f64 z (sin.f64 y))))
	27.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
▶	59.1%	(/.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))
	59.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
	19.8%	(/.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)))))))
	30.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z))))))
	52.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	42.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	34.1%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
	99.5%	(-.f64 (/.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 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64))))
	99.5%	(-.f64 (/.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	77.0%	(-.f64 x (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
▶	51.9%	(-.f64 x (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
	51.8%	(-.f64 x (.f64 z (.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))))))))
	52.0%	(-.f64 x (.f64 z (.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)))))))))))
✓	77.2%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	52.4%	(-.f64 x (*.f64 z y))
▶	52.0%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
	42.1%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶	18.1%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
	59.1%	(+.f64 (.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x) (.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x))
	36.5%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x (.f64 y y))) (*.f64 x #s(literal 1/24 binary64)))))))
	36.2%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))))
	23.0%	(+.f64 x (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))) (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z (*.f64 z z)))))))
	51.8%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
	34.4%	(+.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)))
✓	52.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
	36.4%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	36.4%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	59.0%	(.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)))
	59.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 x #s(literal 1/2 binary64)))
	87.3%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	70.7%	(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
	45.9%	(*.f64 z (-.f64 (/.f64 x z) y))
	27.1%	(.f64 z (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))))
	2.9%	(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
	41.4%	(*.f64 y (-.f64 (/.f64 x y) z))
	18.2%	(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
	36.5%	(.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)))))
	36.1%	(.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)))))
✓	59.3%	(*.f64 x (cos.f64 y))
✓	37.9%	x

Compiler

Compiled 1812 to 1056 computations (41.7% saved)

simplify205.0ms (1.6%)

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	128	(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
✓	cost-diff	128	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))
✓	cost-diff	128	(.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
✓	cost-diff	128	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
✓	cost-diff	0	(-.f64 x (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
✓	cost-diff	0	(-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y))))
✓	cost-diff	12992	(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))

Rules

3512×	`-lowering-.f32`
3512×	`-lowering-.f64`
1810×	`fma-lowering-fma.f32`
1810×	`fma-lowering-fma.f64`
1546×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	318
1	141	300
2	520	288
3	2144	288
4	7179	287
0	8102	287

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize394.0ms (3%)

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	99.8%	(/.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	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.8%	(.f64 y (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
✓	accuracy	99.4%	(*.f64 z #s(literal -1/6 binary64))
✓	accuracy	95.4%	(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
✓	accuracy	95.1%	(.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	99.2%	(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.7%	(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))
✓	accuracy	99.5%	(pow.f64 (cos.f64 y) #s(literal 3 binary64))
✓	accuracy	99.3%	(pow.f64 (cos.f64 y) #s(literal 4 binary64))

Results

300.0ms

256×

valid

Compiler

Compiled 355 to 47 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-mult: 84.0ms (42.5% of total)

ival-sub: 65.0ms (32.9% of total)

ival-cos: 12.0ms (6.1% of total)

...c/correct-round.rkt:119:19: 10.0ms (5.1% of total)

ival-pow: 10.0ms (5.1% of total)

ival-add: 6.0ms (3% of total)

ival-sin: 6.0ms (3% of total)

ival-div: 3.0ms (1.5% of total)

const: 1.0ms (0.5% of total)

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

series102.0ms (0.8%)

Counts

25 → 540

Calls

Call 1

Inputs
#<alt (/ (- (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))>
#<alt (- (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y))))>
#<alt (* x (pow (cos y) 4))>
#<alt (pow (cos y) 4)>
#<alt (- 0 (* z y))>
#<alt (* z y)>
#<alt (- x (* (* z y) (+ 1 (* y (* y -1/6)))))>
#<alt (* (* z y) (+ 1 (* y (* y -1/6))))>
#<alt (+ 1 (* y (* y -1/6)))>
#<alt (- x (* y (+ z (* (* y y) (+ (* z -1/6) (* y (* y (* z (+ 1/120 (* (* y y) -1/5040))))))))))>
#<alt (* y (+ z (* (* y y) (+ (* z -1/6) (* y (* y (* z (+ 1/120 (* (* y y) -1/5040)))))))))>
#<alt (+ z (* (* y y) (+ (* z -1/6) (* y (* y (* z (+ 1/120 (* (* y y) -1/5040))))))))>
#<alt (* (* y y) (+ (* z -1/6) (* y (* y (* z (+ 1/120 (* (* y y) -1/5040)))))))>
#<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 (pow (cos y) 3)>
#<alt (* (pow (cos y) 3) (* z (sin y)))>
#<alt (* y -1/6)>
#<alt (* y (* y -1/6))>
#<alt (* z (+ 1/120 (* (* y y) -1/5040)))>
#<alt (* z -1/6)>
#<alt (* y (* z (+ 1/120 (* (* y y) -1/5040))))>
#<alt (cos y)>

Outputs
#<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) (* y (- (* -2 x) (* -3/2 x))))))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (+ (* -2 x) (* y (- (* 5/3 z) (* 3/2 z)))) (* -3/2 x))))))>
#<alt (/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<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 (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (pow (cos y) 4)))>
#<alt (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (pow (cos y) 4)))>
#<alt (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (pow (cos y) 4)))>
#<alt (* x (pow (cos y) 4))>
#<alt (* -1 (* x (+ (* -1 (pow (cos y) 4)) (/ (* z (* (pow (cos y) 3) (sin y))) x))))>
#<alt (* -1 (* x (+ (* -1 (pow (cos y) 4)) (/ (* z (* (pow (cos y) 3) (sin y))) x))))>
#<alt (* -1 (* x (+ (* -1 (pow (cos y) 4)) (/ (* z (* (pow (cos y) 3) (sin y))) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -2 x) (* 5/3 (* y z)))) z)))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (* x (pow (cos y) 4))>
#<alt (+ (* -1 (* z (* (pow (cos y) 3) (sin y)))) (* x (pow (cos y) 4)))>
#<alt (+ (* -1 (* z (* (pow (cos y) 3) (sin y)))) (* x (pow (cos y) 4)))>
#<alt (+ (* -1 (* z (* (pow (cos y) 3) (sin y)))) (* x (pow (cos y) 4)))>
#<alt (* -1 (* z (* (pow (cos y) 3) (sin y))))>
#<alt (* z (- (/ (* x (pow (cos y) 4)) z) (* (pow (cos y) 3) (sin y))))>
#<alt (* z (- (/ (* x (pow (cos y) 4)) z) (* (pow (cos y) 3) (sin y))))>
#<alt (* z (- (/ (* x (pow (cos y) 4)) z) (* (pow (cos y) 3) (sin y))))>
#<alt (* -1 (* z (* (pow (cos y) 3) (sin y))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (pow (cos y) 4)) z)) (* -1 (* (pow (cos y) 3) (sin y))))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (pow (cos y) 4)) z)) (* -1 (* (pow (cos y) 3) (sin y))))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (pow (cos y) 4)) z)) (* -1 (* (pow (cos y) 3) (sin y))))))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt x>
#<alt (+ x (* -2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -2 x) (* 5/3 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -2 x) (* (pow y 2) (+ (* -34/45 (* x (pow y 2))) (* 5/3 x))))))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 5/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 5/3 (* -34/45 (pow y 2)))) 2)))>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (- x (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (- x (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (- x (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x) 1)))>
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x) 1)))>
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ x (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ x (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* -1/6 (pow y 2))))))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* -1/6 (pow y 2))))))))>
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#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* 1/120 z)>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))>
#<alt (* -1/5040 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* -1/5040 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* 1/120 (* y z))>
#<alt (* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))>
#<alt (* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))>
#<alt (* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))>
#<alt (* -1/5040 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* -1/5040 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))>
#<alt (* y (* z (+ 1/120 (* -1/5040 (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

135 calls:

Time	Variable		Point	Expression
49.0ms	y	@	-inf	(/ (- (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))
15.0ms	z	@	0	(- x (* (* z y) (+ 1 (* y (* y -1/6)))))
2.0ms	y	@	0	(* (* y y) (+ (* z -1/6) (* y (* y (* z (+ 1/120 (* (* y y) -1/5040)))))))
2.0ms	y	@	inf	(/ (- (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))
1.0ms	x	@	0	(/ (- (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))

rewrite334.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3416×	`-lowering-.f32`
3416×	`-lowering-.f64`
2380×	`/-lowering-/.f32`
2380×	`/-lowering-/.f64`
2166×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	240
1	284	213
2	2622	197
0	8364	197

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 712

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (neg.f64 (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y))))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))))))) (/.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))))) (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))))
(fma.f64 x (cos.f64 y) (neg.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(fma.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (neg.f64 (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)) (neg.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (neg.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (cos.f64 y)) (neg.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (cos.f64 y)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (neg.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 5/2 binary64)) (neg.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 5/2 binary64)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (neg.f64 (.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (pow.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) #s(literal 3 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (pow.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
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(exp.f64 (-.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 y))) (.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))))
(cos.f64 y)
(-.f64 (/.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)))))) (cos.f64 y)) (/.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))))))) (+.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 #s(literal 1/4 binary64) (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (/.f64 (.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 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/.f64 (pow.f64 (cos.f64 y) #s(literal 3 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 binary64) (/.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.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 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (cos.f64 y) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 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 (cos.f64 y) (+.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) (neg.f64 (/.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (.f64 (cos.f64 y) (+.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 (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 (cos.f64 y) (+.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 y)))
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #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 binary64) (cos.f64 y)))

simplify308.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

5116×	`-lowering-.f32`
5116×	`-lowering-.f64`
2046×	`+-lowering-+.f64`
2046×	`+-lowering-+.f32`
1456×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	6098
1	1492	5210
2	5405	5172
0	8096	5172

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(* -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) (* y (- (* -2 x) (* -3/2 x))))))
(+ x (* y (+ (* -1 z) (* y (- (+ (* -2 x) (* y (- (* 5/3 z) (* 3/2 z)))) (* -3/2 x))))))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(* 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 (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(* x (pow (cos y) 4))
(* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (pow (cos y) 4)))
(* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (pow (cos y) 4)))
(* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (pow (cos y) 4)))
(* x (pow (cos y) 4))
(* -1 (* x (+ (* -1 (pow (cos y) 4)) (/ (* z (* (pow (cos y) 3) (sin y))) x))))
(* -1 (* x (+ (* -1 (pow (cos y) 4)) (/ (* z (* (pow (cos y) 3) (sin y))) x))))
(* -1 (* x (+ (* -1 (pow (cos y) 4)) (/ (* z (* (pow (cos y) 3) (sin y))) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -2 x) (* 5/3 (* y z)))) z)))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(* x (pow (cos y) 4))
(+ (* -1 (* z (* (pow (cos y) 3) (sin y)))) (* x (pow (cos y) 4)))
(+ (* -1 (* z (* (pow (cos y) 3) (sin y)))) (* x (pow (cos y) 4)))
(+ (* -1 (* z (* (pow (cos y) 3) (sin y)))) (* x (pow (cos y) 4)))
(* -1 (* z (* (pow (cos y) 3) (sin y))))
(* z (- (/ (* x (pow (cos y) 4)) z) (* (pow (cos y) 3) (sin y))))
(* z (- (/ (* x (pow (cos y) 4)) z) (* (pow (cos y) 3) (sin y))))
(* z (- (/ (* x (pow (cos y) 4)) z) (* (pow (cos y) 3) (sin y))))
(* -1 (* z (* (pow (cos y) 3) (sin y))))
(* -1 (* z (- (* -1 (/ (* x (pow (cos y) 4)) z)) (* -1 (* (pow (cos y) 3) (sin y))))))
(* -1 (* z (- (* -1 (/ (* x (pow (cos y) 4)) z)) (* -1 (* (pow (cos y) 3) (sin y))))))
(* -1 (* z (- (* -1 (/ (* x (pow (cos y) 4)) z)) (* -1 (* (pow (cos y) 3) (sin y))))))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
x
(+ x (* -2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -2 x) (* 5/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -2 x) (* (pow y 2) (+ (* -34/45 (* x (pow y 2))) (* 5/3 x))))))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 5/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 5/3 (* -34/45 (pow y 2)))) 2)))
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(* -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)
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(- x (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(- x (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(- x (* y (* z (+ 1 (* -1/6 (pow y 2))))))
x
(* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x))))
(* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x))))
(* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x))))
x
(* -1 (* x (- (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x) 1)))
(* -1 (* x (- (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x) 1)))
(* -1 (* x (- (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x) 1)))
x
(+ x (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* z (- (/ x z) (* y (+ 1 (* -1/6 (pow y 2))))))
(* z (- (/ x z) (* y (+ 1 (* -1/6 (pow y 2))))))
(* z (- (/ x z) (* y (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* -1/6 (pow y 2))))))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* -1/6 (pow y 2))))))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* -1/6 (pow y 2))))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (- (* -1 (/ z (pow y 2))) (* -1/6 z)))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (- (/ z (pow y 2)) (* 1/6 z))))
(* -1 (* (pow y 3) (- (* -1 (/ x (pow y 3))) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))))
(* -1 (* (pow y 3) (- (* -1 (/ x (pow y 3))) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))))
(- x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))))
(- x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))))
(- x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))))
x
(* x (+ 1 (* -1 (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x))))
(* x (+ 1 (* -1 (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x))))
(* x (+ 1 (* -1 (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x))))
x
(* -1 (* x (- (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x) 1)))
(* -1 (* x (- (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x) 1)))
(* -1 (* x (- (/ (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (* z (+ 1/120 (* -1/5040 (pow y 2))))))))) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))
(* 1/5040 (* (pow y 7) z))
(* (pow y 7) (- (* -1/120 (/ z (pow y 2))) (* -1/5040 z)))
(* (pow y 7) (- (* 1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (- (* -1 (/ z (pow y 6))) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))))
(* 1/5040 (* (pow y 7) z))
(* -1 (* (pow y 7) (- (* 1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (- (* -1/6 (/ z (pow y 4))) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))))
(* -1 (* (pow y 7) (- (/ z (pow y 6)) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
x
(+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))
(+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))
(+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))))
(* -1 (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))
(* -1 (* z (- (* -1 (/ x z)) (* y (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))))
(* -1 (* z (- (* -1 (/ x z)) (* y (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))))
(* -1 (* z (- (* -1 (/ x z)) (* y (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))))
(* 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)))))))
(* -1/5040 (* (pow y 7) z))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 7) z))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1))))
(* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1))))
(* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1))))
(* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))) 1)))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))
(* -1/5040 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))
(* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))
(* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))
(* -1/5040 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* -1/5040 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1 (* (pow y 2) (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))))))))
(* -1 (* (pow y 2) (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))))))))
(* -1 (* (pow y 2) (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))))))))
(* -1 (* (pow y 2) (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))))))))
(/ (* 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)))
1
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(* y z)
(* y (+ z (* -5/3 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -5/3 z) (* 17/15 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -5/3 z) (* (pow y 2) (+ (* -26/63 (* (pow y 2) z)) (* 17/15 z)))))))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* 1/120 z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* 1/120 (* y z))
(* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))
(* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))
(* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))
(* -1/5040 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* -1/5040 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(* y (* z (+ 1/120 (* -1/5040 (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
(* -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 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* y (- (* -2 x) (* -3/2 x))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+ x (* y (+ (* -1 z) (* y (- (+ (* -2 x) (* y (- (* 5/3 z) (* 3/2 z)))) (* -3/2 x))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 z (.f64 #s(literal 1/6 binary64) y)) (*.f64 x #s(literal -1/2 binary64)))) z)))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (- (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(* 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)))
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(*.f64 z #s(literal 1/120 binary64))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* -1/5040 (* (pow y 2) z))
(.f64 z (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))
(* -1/5040 (* (pow y 2) z))
(.f64 z (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* 1/120 (* y z))
(.f64 y (.f64 z #s(literal 1/120 binary64)))
(* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* -1/5040 (* (pow y 3) z))
(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal -1/5040 binary64)))
(* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (.f64 y y)) #s(literal 1/120 binary64))))))
(* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (.f64 y y)) #s(literal 1/120 binary64))))))
(* (pow y 3) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (.f64 y y)) #s(literal 1/120 binary64))))))
(* -1/5040 (* (pow y 3) z))
(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal -1/5040 binary64)))
(* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (.f64 y y)) #s(literal -1/120 binary64))))
(* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (.f64 y y)) #s(literal -1/120 binary64))))
(* -1 (* (pow y 3) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal -1/5040 binary64)) (.f64 (/.f64 z (.f64 y y)) #s(literal -1/120 binary64))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(* y (* z (+ 1/120 (* -1/5040 (pow y 2)))))
(.f64 z (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y 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 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

eval247.0ms (1.9%)

Compiler: Compiled 42431 to 3380 computations (92% saved)

prune250.0ms (1.9%)

Pruning

52 alts after pruning (44 fresh and 8 done)

	Pruned	Kept	Total
New	1423	13	1436
Fresh	5	31	36
Picked	3	2	5
Done	0	6	6
Total	1431	52	1483

Accuracy

100.0%

Counts

1483 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.4%	(/.f64 (-.f64 (.f64 (.f64 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 z (sin.f64 y)))) (cos.f64 y)) (.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
	19.8%	(/.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)))))
	29.5%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 x (.f64 z (sin.f64 y))))
	11.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 y z)))) (.f64 y z))
	59.1%	(/.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))
	27.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
	59.2%	(/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
✓	59.1%	(/.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))
	40.2%	(/.f64 x (cos.f64 y))
	59.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
	19.8%	(/.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)))))))
	30.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z))))))
	52.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	42.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	34.1%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
	99.5%	(-.f64 (/.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 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64))))
	99.5%	(-.f64 (/.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	77.0%	(-.f64 x (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	51.9%	(-.f64 x (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
	51.8%	(-.f64 x (.f64 z (.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))))))))
✓	77.2%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	52.4%	(-.f64 x (*.f64 z y))
	52.0%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 z (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))
	42.1%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	59.1%	(+.f64 (.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x) (.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x))
	36.2%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 1/3 binary64)) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))))
	36.5%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (.f64 x #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x #s(literal 1/3 binary64)) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x #s(literal -1/720 binary64)) (.f64 x #s(literal -1/48 binary64)))))) (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x #s(literal 1/24 binary64))))))) (*.f64 x #s(literal -1/2 binary64)))))
	36.5%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x (.f64 y y))) (*.f64 x #s(literal 1/24 binary64)))))))
	36.2%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))))
	23.0%	(+.f64 x (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))) (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z (*.f64 z z)))))))
	51.8%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
	34.4%	(+.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)))
✓	52.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
	36.4%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	59.0%	(.f64 (/.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
	18.3%	(.f64 (.f64 z y) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
	14.7%	(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 x (.f64 y (.f64 y y))) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y)))))
	87.3%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	70.7%	(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
	45.9%	(*.f64 z (-.f64 (/.f64 x z) y))
	27.1%	(.f64 z (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))))
	41.4%	(*.f64 y (-.f64 (/.f64 x y) z))
	10.1%	(.f64 y (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y)))))
	18.2%	(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
	3.0%	(.f64 y (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))))
	36.5%	(.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)))))
	36.1%	(.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)))))
✓	59.3%	(*.f64 x (cos.f64 y))
	18.1%	(neg.f64 (*.f64 y z))
✓	37.9%	x

Compiler

Compiled 2747 to 992 computations (63.9% saved)

regimes110.0ms (0.9%)

Counts

79 → 1

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	z
23.0ms	x
22.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
22.0ms	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)

regimes48.0ms (0.4%)

Counts

46 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
14.0ms	z
14.0ms	x

Results

Accuracy	Segments	Branch
88.2%	3	`x`
77.2%	1	`y`
87.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes46.0ms (0.4%)

Counts

42 → 3

Calls

Call 1

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

Outputs
(*.f64 x (cos.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))

Calls

3 calls:

13.0ms	y
13.0ms	z
12.0ms	x

Results

Accuracy	Segments	Branch
79.2%	4	`y`
74.8%	3	`z`
77.8%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (0.3%)

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

13.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
75.0%	3	`y`
71.0%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.3%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	z
11.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`z`
52.4%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
44.8%	3	`x`
39.6%	2	`y`
41.7%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
37.9%	1	`y`
37.9%	1	`z`
37.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Results

23.0ms

224×

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions

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

ival-cos: 5.0ms (34.3% of total)

ival-sin: 5.0ms (34.3% of total)

ival-mult: 3.0ms (20.6% of total)

ival-sub: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.5768465961224335e-80	4.028775134779657e-78
21.0ms	-1.0273049619958881e-113	-9.644746472306683e-120

Results

28.0ms

256×

valid

Compiler

Compiled 306 to 237 computations (22.5% saved)

Precisions

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

ival-cos: 8.0ms (42.6% of total)

ival-sin: 5.0ms (26.6% of total)

ival-mult: 4.0ms (21.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Results

11.0ms

160×

valid

Compiler

Compiled 388 to 243 computations (37.4% saved)

Precisions

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

ival-cos: 2.0ms (30.5% of total)

ival-mult: 2.0ms (30.5% of total)

ival-sin: 2.0ms (30.5% of total)

ival-sub: 1.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.0174399239455637e-143	8.538331453992832e-136
16.0ms	-9.539359677811368e-123	-2.702363443762867e-124

Results

27.0ms

256×

valid

Compiler

Compiled 226 to 173 computations (23.5% saved)

Precisions

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

ival-cos: 8.0ms (43.6% of total)

ival-sin: 5.0ms (27.2% of total)

ival-mult: 4.0ms (21.8% of total)

ival-sub: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative_binary64`
48×	`+-commutative_binary64`
42×	`sub-neg_binary64`
34×	`neg-mul-1_binary64`
32×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	104
1	101	104
2	129	104
3	144	104
4	161	104
5	178	104
6	198	104
7	212	104
8	228	104
9	235	104
10	239	104
11	240	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -949999999999999986163666816002152023709711947681853709071487121867866322305632177812126434382583635924579015919805979951104 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 189999999999999992068576089502641328749030457167258658038164046443741970432 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -8251465009703545/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 1368366694886833/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -5476377146882523/144115188075855872 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 6124895493223875/18014398509481984 binary64)) (-.f64 x (.f64 y (+.f64 z (.f64 (.f64 z (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))) (.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 x #s(literal -8633681102672937/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) x (if (<=.f64 x #s(literal 4022342378982779/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (neg.f64 (*.f64 y z)) x))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -949999999999999986163666816002152023709711947681853709071487121867866322305632177812126434382583635924579015919805979951104 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 189999999999999992068576089502641328749030457167258658038164046443741970432 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -8251465009703545/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 1368366694886833/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -8251465009703545/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 1368366694886833/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -5476377146882523/144115188075855872 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 6124895493223875/18014398509481984 binary64)) (-.f64 x (.f64 y (+.f64 z (.f64 (.f64 z (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))) (.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 x #s(literal -8633681102672937/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) x (if (<=.f64 x #s(literal 4022342378982779/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (neg.f64 (*.f64 y z)) x))
(if (<=.f64 x #s(literal -8633681102672937/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) x (if (<=.f64 x #s(literal 4022342378982779/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) (*.f64 z (-.f64 #s(literal 0 binary64) y)) x))
x

soundness1.4s (11.1%)

Rules

5116×	`-lowering-.f32`
5116×	`-lowering-.f64`
4570×	`-lowering-.f32`
4570×	`-lowering-.f64`
3416×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	240
1	284	213
2	2622	197
0	8364	197
0	427	6098
1	1492	5210
2	5405	5172
0	8096	5172
0	494	6486
1	1735	5840
2	6287	5837
0	8265	5837
0	97	605
1	313	565
2	1024	559
3	2853	556
4	5204	556
0	8112	556

Stop Event

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

Compiler

Compiled 211 to 120 computations (43.1% saved)

preprocess72.0ms (0.6%)

Compiler: Compiled 260 to 122 computations (53.1% saved)

Iter	Nodes	Cost
0	52	104
1	101	104
2	129	104
3	144	104
4	161	104
5	178	104
6	198	104
7	212	104
8	228	104
9	235	104
10	239	104
11	240	104

Iter	Nodes	Cost
0	52	104
1	101	104
2	129	104
3	144	104
4	161	104
5	178	104
6	198	104
7	212	104
8	228	104
9	235	104
10	239	104
11	240	104

analyze0.0ms (0%)

sample1.3s (10.1%)

preprocess98.0ms (0.8%)

explain131.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.2%)

localize44.0ms (0.3%)

series15.0ms (0.1%)

rewrite277.0ms (2.1%)

simplify220.0ms (1.7%)

eval31.0ms (0.2%)

prune37.0ms (0.3%)

simplify203.0ms (1.6%)

localize301.0ms (2.3%)

series80.0ms (0.6%)

rewrite2.2s (16.8%)

simplify555.0ms (4.3%)

eval1.1s (8.4%)

prune640.0ms (4.9%)

simplify259.0ms (2%)

localize345.0ms (2.7%)

series52.0ms (0.4%)

rewrite355.0ms (2.7%)

simplify363.0ms (2.8%)

eval326.0ms (2.5%)

prune208.0ms (1.6%)

simplify205.0ms (1.6%)

localize394.0ms (3%)

series102.0ms (0.8%)

rewrite334.0ms (2.6%)

simplify308.0ms (2.4%)

eval247.0ms (1.9%)

prune250.0ms (1.9%)

regimes110.0ms (0.9%)

regimes48.0ms (0.4%)

regimes46.0ms (0.4%)

regimes32.0ms (0.3%)

regimes36.0ms (0.3%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

bsearch32.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch38.0ms (0.3%)

simplify19.0ms (0.1%)

soundness1.4s (11.1%)

preprocess72.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	52	104
1	101	104
2	129	104
3	144	104
4	161	104
5	178	104
6	198	104
7	212	104
8	228	104
9	235	104
10	239	104
11	240	104