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 (11.7%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 720.0ms

ival-cos: 273.0ms (37.9% of total)

ival-sin: 190.0ms (26.4% of total)

ival-mult: 186.0ms (25.8% of total)

ival-sub: 60.0ms (8.3% of total)

const: 8.0ms (1.1% of total)

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

Bogosity

preprocess100.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain127.0ms (1.1%)

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

90.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-cos: 18.0ms (42.8% of total)

ival-sin: 11.0ms (26.1% of total)

ival-mult: 10.0ms (23.8% of total)

ival-sub: 3.0ms (7.1% of total)

const: 1.0ms (2.4% of total)

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

eval2.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize59.0ms (0.5%)

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 x (cos.f64 y))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Results

43.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-cos: 8.0ms (34.6% of total)

ival-mult: 8.0ms (34.6% of total)

ival-sin: 5.0ms (21.6% of total)

ival-sub: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (- (* x (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	x	@	0	(* x (cos 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)))
1.0ms	y	@	inf	(- (* x (cos y)) (* z (sin y)))

rewrite297.0ms (2.6%)

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)))

simplify267.0ms (2.3%)

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))

eval29.0ms (0.3%)

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

prune45.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	233	15	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	233	16	249

Accuracy

99.9%

Counts

249 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
	35.8%	(/.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 (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)))))))
	49.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))))) (-.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)))))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
▶	45.5%	(-.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)))
	52.4%	(-.f64 x (*.f64 z y))
	41.3%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶	51.6%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
	51.3%	(+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
	21.1%	(.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)))
	45.9%	(.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)))))))
	52.8%	(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #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))))))))
▶	89.6%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	60.0%	(*.f64 x (cos.f64 y))
▶	41.0%	x

Compiler

Compiled 902 to 460 computations (49% saved)

simplify184.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 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)) z)
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	cost-diff	128	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))
✓	cost-diff	0	(-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #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 z (*.f64 y #s(literal 1/6 binary64))))) z)))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Rules

2876×	`-lowering-.f32`
2876×	`-lowering-.f64`
1492×	`+-lowering-+.f64`
1492×	`+-lowering-+.f32`
1314×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	309
1	107	304
2	267	301
3	800	301
4	2721	301
0	8343	301

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize464.0ms (4.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.6%	(.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	74.7%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	74.2%	(/.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	67.6%	(/.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	accuracy	99.9%	(/.f64 (*.f64 x (cos.f64 y)) z)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	89.6%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))
✓	accuracy	99.8%	(.f64 z (.f64 y #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Results

283.0ms	121×	1	valid
106.0ms	130×	0	valid
9.0ms	5×	2	valid

Compiler

Compiled 348 to 40 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-cos: 41.0ms (23.6% of total)

ival-sin: 41.0ms (23.6% of total)

ival-mult: 39.0ms (22.4% of total)

backward-pass: 14.0ms (8% of total)

ival-div: 13.0ms (7.5% of total)

ival-sub: 9.0ms (5.2% of total)

ival-add: 8.0ms (4.6% of total)

...c/correct-round.rkt:119:19: 7.0ms (4% of total)

const: 1.0ms (0.6% of total)

series114.0ms (1%)

Counts

22 → 660

Calls

Call 1

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

165 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(+ x (* y (- (* y (+ (* x -1/2) (* z (* y 1/6)))) z)))
15.0ms	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))))))
7.0ms	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))))))
3.0ms	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	@	0	(* y (- (* y (+ (* x -1/2) (* z (* y 1/6)))) z))

rewrite806.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2694×	`-lowering-.f32`
2694×	`-lowering-.f64`
2224×	`/-lowering-/.f32`
2224×	`/-lowering-/.f64`
2078×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	208
1	248	183
2	2296	183
0	8671	183

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1110

Calls

Call 1

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

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

simplify444.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5040×	`-lowering-.f32`
5040×	`-lowering-.f64`
2696×	`+-lowering-+.f64`
2696×	`+-lowering-+.f32`
1742×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1296	12240
1	4949	11160
0	8335	11160

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

eval349.0ms (3.1%)

Compiler: Compiled 88582 to 3968 computations (95.5% saved)

prune299.0ms (2.6%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1883	31	1914
Fresh	7	3	10
Picked	4	1	5
Done	0	1	1
Total	1894	36	1930

Accuracy

100.0%

Counts

1930 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	39.1%	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)))))
	36.7%	(/.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)) (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z) (+.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)))
▶	59.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	38.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	40.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	35.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
▶	99.2%	(-.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))))
	49.5%	(-.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))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	52.4%	(-.f64 x (*.f64 z y))
	41.3%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶	37.2%	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
	8.8%	(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))))))) z)))
	51.3%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
	24.7%	(+.f64 x (.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))))
	39.1%	(+.f64 x (.f64 y (.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
	39.0%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	30.2%	(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
	13.4%	(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
	6.5%	(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 z y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
	2.9%	(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
	3.2%	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
▶	33.6%	(*.f64 z (/.f64 x z))
	45.1%	(*.f64 z (-.f64 (/.f64 x z) y))
	89.4%	(.f64 z (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
	30.1%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))))
	46.7%	(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 y) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (sin.f64 y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 x (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))
	44.0%	(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
	89.4%	(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
▶	14.4%	(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
	60.0%	(*.f64 x (cos.f64 y))
✓	41.0%	x

Compiler

Compiled 1518 to 889 computations (41.4% saved)

simplify230.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	cost-diff	0	(-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z))
✓	cost-diff	0	(.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (*.f64 z z)) y)
✓	cost-diff	1664	(/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64)))))))
✓	cost-diff	1664	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
✓	cost-diff	0	(.f64 z (.f64 y y))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y)))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	128	(*.f64 z (/.f64 x z))
✓	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

4656×	`-lowering-.f32`
4656×	`-lowering-.f64`
1894×	`sum3-define`
1518×	`+-lowering-+.f64`
1518×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	364
1	116	346
2	389	338
3	1380	310
4	6122	309
0	8016	309

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

localize306.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	accuracy	99.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	accuracy	99.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	93.3%	(.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (*.f64 z z)) y)
✓	accuracy	85.5%	(-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z))
✓	accuracy	56.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64)))))))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) z)
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y)))
✓	accuracy	92.7%	(.f64 z (.f64 y y))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	76.8%	(*.f64 z (/.f64 x z))
✓	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	99.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))

Results

215.0ms

256×

valid

Compiler

Compiled 445 to 40 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 30.0ms (37.1% of total)

ival-cos: 18.0ms (22.3% of total)

ival-div: 7.0ms (8.7% of total)

ival-add: 6.0ms (7.4% of total)

ival-sin: 6.0ms (7.4% of total)

ival-sub: 5.0ms (6.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (4.9% of total)

ival-pow: 3.0ms (3.7% of total)

const: 1.0ms (1.2% of total)

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

series69.0ms (0.6%)

Counts

19 → 456

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

114 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(* (- (* (* y (+ (* x -1/2) (* z (* y 1/6)))) (* y (+ (* x -1/2) (* z (* y 1/6))))) (* z z)) y)
7.0ms	z	@	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)))
3.0ms	x	@	-inf	(+ x (/ (* (- (* (* y (+ (* x -1/2) (* z (* y 1/6)))) (* y (+ (* x -1/2) (* z (* y 1/6))))) (* z z)) y) (+ z (* y (+ (* x -1/2) (* z (* y 1/6)))))))
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)))
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)))

rewrite459.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

5594×	`-lowering-.f32`
5594×	`-lowering-.f64`
2634×	`/-lowering-/.f32`
2634×	`/-lowering-/.f64`
2140×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	219
1	244	150
2	2511	133
0	9862	133

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 491

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

simplify533.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

6380×	`-lowering-.f32`
6380×	`-lowering-.f64`
4710×	`+-lowering-+.f64`
4710×	`+-lowering-+.f32`
1300×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	817	9709
1	2921	8679
0	8775	8679

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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))
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(* -1/2 (* x (pow y 2)))
(* x (- (+ (* -1/2 (pow y 2)) (* 1/3 (/ (* (pow y 3) z) x))) (/ (* y (+ z (* 1/6 (* (pow y 2) z)))) x)))
(* x (- (+ (* -2 (/ (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2)) (pow x 2))) (+ (* -1/2 (pow y 2)) (* 1/3 (/ (* (pow y 3) z) x)))) (+ (* -2 (/ (* (+ z (* 1/6 (* (pow y 2) z))) (- (* 1/3 (* (pow y 3) z)) (* y (+ z (* 1/6 (* (pow y 2) z)))))) (* (pow x 2) y))) (/ (* y (+ z (* 1/6 (* (pow y 2) z)))) x))))
(* x (- (+ (* -2 (/ (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2)) (pow x 2))) (+ (* -1/2 (pow y 2)) (+ (* 1/3 (/ (* (pow y 3) z) x)) (* 2 (/ (* (+ z (* 1/6 (* (pow y 2) z))) (- (* -2 (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))) (* -2 (/ (* (+ z (* 1/6 (* (pow y 2) z))) (- (* 1/3 (* (pow y 3) z)) (* y (+ z (* 1/6 (* (pow y 2) z)))))) y)))) (* (pow x 3) y)))))) (+ (* -2 (/ (* (+ z (* 1/6 (* (pow y 2) z))) (- (* 1/3 (* (pow y 3) z)) (* y (+ z (* 1/6 (* (pow y 2) z)))))) (* (pow x 2) y))) (/ (* y (+ z (* 1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x (pow y 2)))
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (pow y 3) z)) (* y (+ z (* 1/6 (* (pow y 2) z))))) x)) (* 1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))) (* 2 (/ (* (+ z (* 1/6 (* (pow y 2) z))) (- (* 1/3 (* (pow y 3) z)) (* y (+ z (* 1/6 (* (pow y 2) z)))))) y))) x)) (* 1/3 (* (pow y 3) z))) (* y (+ z (* 1/6 (* (pow y 2) z))))) x)) (* 1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))) (* 2 (/ (* (+ z (* 1/6 (* (pow y 2) z))) (- (* 2 (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))) (* 2 (/ (* (+ z (* 1/6 (* (pow y 2) z))) (- (* 1/3 (* (pow y 3) z)) (* y (+ z (* 1/6 (* (pow y 2) z)))))) y)))) (* x y)))) (* 2 (/ (* (+ z (* 1/6 (* (pow y 2) z))) (- (* 1/3 (* (pow y 3) z)) (* y (+ z (* 1/6 (* (pow y 2) z)))))) y))) x)) (* 1/3 (* (pow y 3) z))) (* y (+ z (* 1/6 (* (pow y 2) z))))) x)) (* 1/2 (pow y 2)))))
(* -1/2 (* x (pow y 2)))
(+ (* -1/2 (* x (pow y 2))) (* z (- (* 1/3 (pow y 3)) (* y (+ 1 (* 1/6 (pow y 2)))))))
(+ (* -1/2 (* x (pow y 2))) (* z (- (+ (* 1/3 (pow y 3)) (* z (- (* -2 (/ (- (* 1/36 (pow y 4)) 1) x)) (* -2 (/ (* (+ 1 (* 1/6 (pow y 2))) (- (* 1/3 (pow y 3)) (* y (+ 1 (* 1/6 (pow y 2)))))) (* x y)))))) (* y (+ 1 (* 1/6 (pow y 2)))))))
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(/ (* y (* z (- (* 1/36 (pow y 4)) 1))) (+ 1 (* 1/6 (pow y 2))))
(* z (- (+ (* -1/6 (/ (* x (pow y 4)) (* z (+ 1 (* 1/6 (pow y 2)))))) (/ (* y (- (* 1/36 (pow y 4)) 1)) (+ 1 (* 1/6 (pow y 2))))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (* z (pow (+ 1 (* 1/6 (pow y 2))) 2))))))
(* z (- (+ (* -1/6 (/ (* x (pow y 4)) (* z (+ 1 (* 1/6 (pow y 2)))))) (+ (* 1/4 (/ (* (pow x 2) (pow y 3)) (* (pow z 2) (+ 1 (* 1/6 (pow y 2)))))) (/ (* y (- (* 1/36 (pow y 4)) 1)) (+ 1 (* 1/6 (pow y 2)))))) (+ (* -1/2 (/ (* x (* y (- (* -1/6 (/ (* x (pow y 4)) (+ 1 (* 1/6 (pow y 2))))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (+ 1 (* 1/6 (pow y 2))) 2)))))) (* (pow z 2) (+ 1 (* 1/6 (pow y 2)))))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (* z (pow (+ 1 (* 1/6 (pow y 2))) 2)))))))
(* z (- (+ (* -1/6 (/ (* x (pow y 4)) (* z (+ 1 (* 1/6 (pow y 2)))))) (+ (* 1/4 (/ (* (pow x 2) (pow y 3)) (* (pow z 2) (+ 1 (* 1/6 (pow y 2)))))) (+ (* 1/2 (/ (* x (* y (- (* 1/4 (/ (* (pow x 2) (pow y 3)) (+ 1 (* 1/6 (pow y 2))))) (* -1/2 (/ (* x (* y (- (* -1/6 (/ (* x (pow y 4)) (+ 1 (* 1/6 (pow y 2))))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (+ 1 (* 1/6 (pow y 2))) 2)))))) (+ 1 (* 1/6 (pow y 2)))))))) (* (pow z 3) (+ 1 (* 1/6 (pow y 2)))))) (/ (* y (- (* 1/36 (pow y 4)) 1)) (+ 1 (* 1/6 (pow y 2))))))) (+ (* -1/2 (/ (* x (* y (- (* -1/6 (/ (* x (pow y 4)) (+ 1 (* 1/6 (pow y 2))))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (+ 1 (* 1/6 (pow y 2))) 2)))))) (* (pow z 2) (+ 1 (* 1/6 (pow y 2)))))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (* z (pow (+ 1 (* 1/6 (pow y 2))) 2)))))))
(* -1 (/ (* y (* z (- (* 1/36 (pow y 4)) 1))) (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (+ (* -1 (/ (- (* 1/6 (/ (* x (pow y 4)) (- (* -1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (- (* -1/6 (pow y 2)) 1) 2)))) z)) (/ (* y (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ (* (pow x 2) (pow y 3)) (- (* -1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (* y (- (* 1/6 (/ (* x (pow y 4)) (- (* -1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (- (* -1/6 (pow y 2)) 1) 2)))))) (- (* -1/6 (pow y 2)) 1)))) z)) (* 1/6 (/ (* x (pow y 4)) (- (* -1/6 (pow y 2)) 1)))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (- (* -1/6 (pow y 2)) 1) 2)))) z)) (/ (* y (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* x (* y (- (* 1/4 (/ (* (pow x 2) (pow y 3)) (- (* -1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (* y (- (* 1/6 (/ (* x (pow y 4)) (- (* -1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (- (* -1/6 (pow y 2)) 1) 2)))))) (- (* -1/6 (pow y 2)) 1)))))) (* z (- (* -1/6 (pow y 2)) 1)))) (* 1/4 (/ (* (pow x 2) (pow y 3)) (- (* -1/6 (pow y 2)) 1)))) (* -1/2 (/ (* x (* y (- (* 1/6 (/ (* x (pow y 4)) (- (* -1/6 (pow y 2)) 1))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (- (* -1/6 (pow y 2)) 1) 2)))))) (- (* -1/6 (pow y 2)) 1)))) z)) (* 1/6 (/ (* x (pow y 4)) (- (* -1/6 (pow y 2)) 1)))) (* -1/2 (/ (* x (* (pow y 2) (- (* 1/36 (pow y 4)) 1))) (pow (- (* -1/6 (pow y 2)) 1) 2)))) z)) (/ (* y (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* y (pow z 2)))
(* y (+ (* -1 (pow z 2)) (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -1/6 (* x (* y z))) (* 1/4 (pow x 2))))))
(* y (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/6 (* x z)) (* 1/36 (* y (pow z 2)))))))))
(* 1/36 (* (pow y 5) (pow z 2)))
(* (pow y 5) (+ (* -1/6 (/ (* x z) y)) (* 1/36 (pow z 2))))
(* (pow y 5) (+ (* -1/6 (/ (* x z) y)) (+ (* 1/36 (pow z 2)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (pow y 5) (+ (* -1 (/ (pow z 2) (pow y 4))) (+ (* -1/6 (/ (* x z) y)) (+ (* 1/36 (pow z 2)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(* 1/36 (* (pow y 5) (pow z 2)))
(* -1 (* (pow y 5) (+ (* -1/36 (pow z 2)) (* 1/6 (/ (* x z) y)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (+ (* -1/6 (* x z)) (* 1/4 (/ (pow x 2) y))) y)) (* -1/36 (pow z 2)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (/ (pow z 2) (pow y 2))) y)) (* -1/6 (* x z))) y)) (* -1/36 (pow z 2)))))
(* y (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2)))
(+ (* -1/6 (* x (* (pow y 4) z))) (* y (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))))
(+ (* x (+ (* -1/6 (* (pow y 4) z)) (* 1/4 (* x (pow y 3))))) (* y (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))))
(+ (* x (+ (* -1/6 (* (pow y 4) z)) (* 1/4 (* x (pow y 3))))) (* y (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))))
(* 1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/6 (/ (* (pow y 4) z) x)) (* 1/4 (pow y 3))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow y 4) z) x)) (+ (* 1/4 (pow y 3)) (/ (* y (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow y 4) z) x)) (+ (* 1/4 (pow y 3)) (/ (* y (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))) (pow x 2)))))
(* 1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/6 (/ (* (pow y 4) z) x)) (* 1/4 (pow y 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* y (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))) x)) (* 1/6 (* (pow y 4) z))) x)) (* 1/4 (pow y 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* y (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))) x)) (* 1/6 (* (pow y 4) z))) x)) (* 1/4 (pow y 3))))
(* 1/4 (* (pow x 2) (pow y 3)))
(+ (* -1/6 (* x (* (pow y 4) z))) (* 1/4 (* (pow x 2) (pow y 3))))
(+ (* 1/4 (* (pow x 2) (pow y 3))) (* z (+ (* -1/6 (* x (pow y 4))) (* y (* z (- (* 1/36 (pow y 4)) 1))))))
(+ (* 1/4 (* (pow x 2) (pow y 3))) (* z (+ (* -1/6 (* x (pow y 4))) (* y (* z (- (* 1/36 (pow y 4)) 1))))))
(* y (* (pow z 2) (- (* 1/36 (pow y 4)) 1)))
(* (pow z 2) (+ (* -1/6 (/ (* x (pow y 4)) z)) (* y (- (* 1/36 (pow y 4)) 1))))
(* (pow z 2) (+ (* -1/6 (/ (* x (pow y 4)) z)) (+ (* 1/4 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* y (- (* 1/36 (pow y 4)) 1)))))
(* (pow z 2) (+ (* -1/6 (/ (* x (pow y 4)) z)) (+ (* 1/4 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* y (- (* 1/36 (pow y 4)) 1)))))
(* y (* (pow z 2) (- (* 1/36 (pow y 4)) 1)))
(* (pow z 2) (+ (* -1/6 (/ (* x (pow y 4)) z)) (* y (- (* 1/36 (pow y 4)) 1))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow y 3)) z)) (* 1/6 (* x (pow y 4)))) z)) (* y (- (* 1/36 (pow y 4)) 1))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow y 3)) z)) (* 1/6 (* x (pow y 4)))) z)) (* y (- (* 1/36 (pow y 4)) 1))))
(* -1 (pow z 2))
(- (* 1/4 (* (pow x 2) (pow y 2))) (pow z 2))
(- (* (pow y 2) (+ (* -1/6 (* x (* y z))) (* 1/4 (pow x 2)))) (pow z 2))
(- (* (pow y 2) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/6 (* x z)) (* 1/36 (* y (pow z 2))))))) (pow z 2))
(* 1/36 (* (pow y 4) (pow z 2)))
(* (pow y 4) (+ (* -1/6 (/ (* x z) y)) (* 1/36 (pow z 2))))
(* (pow y 4) (+ (* -1/6 (/ (* x z) y)) (+ (* 1/36 (pow z 2)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (pow y 4) (+ (* -1 (/ (pow z 2) (pow y 4))) (+ (* -1/6 (/ (* x z) y)) (+ (* 1/36 (pow z 2)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(* 1/36 (* (pow y 4) (pow z 2)))
(* (pow y 4) (+ (* -1/6 (/ (* x z) y)) (* 1/36 (pow z 2))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/6 (* x z))) y)) (* 1/36 (pow z 2))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 2) (pow y 2))) (* 1/4 (pow x 2))) y)) (* 1/6 (* x z))) y)) (* 1/36 (pow z 2))))
(- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2))
(- (+ (* -1/6 (* x (* (pow y 3) z))) (* 1/36 (* (pow y 4) (pow z 2)))) (pow z 2))
(- (+ (* 1/36 (* (pow y 4) (pow z 2))) (* x (+ (* -1/6 (* (pow y 3) z)) (* 1/4 (* x (pow y 2)))))) (pow z 2))
(- (+ (* 1/36 (* (pow y 4) (pow z 2))) (* x (+ (* -1/6 (* (pow y 3) z)) (* 1/4 (* x (pow y 2)))))) (pow z 2))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/6 (/ (* (pow y 3) z) x)) (* 1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1/6 (/ (* (pow y 3) z) x)) (+ (* 1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2)))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ (* -1/6 (/ (* (pow y 3) z) x)) (+ (* 1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2)))) (/ (pow z 2) (pow x 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/6 (/ (* (pow y 3) z) x)) (* 1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2)) x)) (* 1/6 (* (pow y 3) z))) x)) (* 1/4 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/36 (* (pow y 4) (pow z 2))) (pow z 2)) x)) (* 1/6 (* (pow y 3) z))) x)) (* 1/4 (pow y 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
(+ (* -1/6 (* x (* (pow y 3) z))) (* 1/4 (* (pow x 2) (pow y 2))))
(+ (* 1/4 (* (pow x 2) (pow y 2))) (* z (+ (* -1/6 (* x (pow y 3))) (* z (- (* 1/36 (pow y 4)) 1)))))
(+ (* 1/4 (* (pow x 2) (pow y 2))) (* z (+ (* -1/6 (* x (pow y 3))) (* z (- (* 1/36 (pow y 4)) 1)))))
(* (pow z 2) (- (* 1/36 (pow y 4)) 1))
(* (pow z 2) (- (+ (* -1/6 (/ (* x (pow y 3)) z)) (* 1/36 (pow y 4))) 1))
(* (pow z 2) (- (+ (* -1/6 (/ (* x (pow y 3)) z)) (+ (* 1/36 (pow y 4)) (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* (pow z 2) (- (+ (* -1/6 (/ (* x (pow y 3)) z)) (+ (* 1/36 (pow y 4)) (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* (pow z 2) (- (* 1/36 (pow y 4)) 1))
(* (pow z 2) (- (+ (* -1/6 (/ (* x (pow y 3)) z)) (* 1/36 (pow y 4))) 1))
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow y 2)) z)) (* 1/6 (* x (pow y 3)))) z)) (* 1/36 (pow y 4))) 1))
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow y 2)) z)) (* 1/6 (* x (pow y 3)))) z)) (* 1/36 (pow y 4))) 1))
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 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* 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))))))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)

Outputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(- (* x (+ (* 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)))
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(.f64 (.f64 z z) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 y y)) y)) z) (+.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow y 2)) z)) (* 1/6 (* x (pow y 3)))) z)) (* 1/36 (pow y 4))) 1))
(.f64 (.f64 z z) (+.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (.f64 y y)) x)) z) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (*.f64 y y)) y))) z)) #s(literal -1 binary64)))
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow y 2)) z)) (* 1/6 (* x (pow y 3)))) z)) (* 1/36 (pow y 4))) 1))
(.f64 (.f64 z z) (+.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (.f64 y y)) x)) z) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (*.f64 y y)) y))) z)) #s(literal -1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (pow y 2)))
(-.f64 #s(literal 1/2 binary64) (*.f64 y y))
(+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 y y) #s(literal -2/45 binary64)))) #s(literal -1 binary64))))
(* 1/2 (cos (* 2 y)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* 1/2 (cos (* 2 y)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* 1/2 (cos (* 2 y)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* 1/2 (cos (* 2 y)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* 1/2 (cos (* 2 y)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* 1/2 (cos (* 2 y)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* 1/2 (cos (* 2 y)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* 1/2 (cos (* 2 y)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 y y) #s(literal -2/45 binary64)))) #s(literal -1 binary64))))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* y z)
(*.f64 z y)
(* y (+ z (* -7/6 (* (pow y 2) z))))
(.f64 y (.f64 (+.f64 (.f64 #s(literal -7/6 binary64) (.f64 y y)) #s(literal 1 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -7/6 binary64) (.f64 #s(literal 61/120 binary64) (.f64 y y)))))))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -7/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 #s(literal -547/5040 binary64) (*.f64 y y)) #s(literal 61/120 binary64))))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))))))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) y) y))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 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)

eval163.0ms (1.4%)

Compiler: Compiled 45787 to 2748 computations (94% saved)

prune217.0ms (1.9%)

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	1209	25	1234
Fresh	8	21	29
Picked	3	2	5
Done	0	2	2
Total	1220	50	1270

Accuracy

100.0%

Counts

1270 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	76.2%	(/.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) #s(literal 1 binary64))) (.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
	65.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))) (.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)))))
	59.8%	(/.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))
	40.9%	(/.f64 (.f64 (.f64 #s(literal -1 binary64) (.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)))
	60.0%	(/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y))
✓	59.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	31.4%	(/.f64 (*.f64 x z) z)
	34.0%	(/.f64 z (/.f64 z x))
	42.7%	(/.f64 x (cos.f64 y))
	59.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
	38.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z))
	31.3%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
▶	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	40.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	35.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	52.4%	(-.f64 x (*.f64 z y))
	41.3%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶	14.3%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
	50.6%	(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
	41.2%	(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z z))) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))))))
✓	37.2%	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
	24.5%	(+.f64 x (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
	24.3%	(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) y)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
	39.1%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))))
	39.0%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y 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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) x))))) (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64)))))) (*.f64 x #s(literal -1/2 binary64)))))
	8.8%	(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))))))) z)))
	51.3%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
	39.1%	(+.f64 x (.f64 y (.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
	39.0%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	30.2%	(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
	14.4%	(.f64 (-.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) z) y)
▶	13.4%	(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
	6.4%	(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
	31.3%	(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
▶	3.2%	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
	60.0%	(*.f64 (cos.f64 y) x)
	33.5%	(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
	45.1%	(*.f64 z (-.f64 (/.f64 x z) y))
▶	89.4%	(.f64 z (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
	30.1%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))))
	44.0%	(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
	33.6%	(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
	89.4%	(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
	14.4%	(.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z))
	3.2%	(.f64 y (.f64 z (.f64 (.f64 y y) #s(literal 1/6 binary64))))
✓	41.0%	x

Compiler

Compiled 1782 to 1094 computations (38.6% saved)

simplify170.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)
✓	cost-diff	0	(*.f64 z #s(literal -1/6 binary64))
✓	cost-diff	0	(-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y))
✓	cost-diff	64	(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y y)))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	cost-diff	0	(/.f64 (cos.f64 y) z)
✓	cost-diff	0	(*.f64 (/.f64 (cos.f64 y) z) x)
✓	cost-diff	0	(-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))
✓	cost-diff	128	(.f64 z (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))

Rules

2680×	`-lowering-.f32`
2680×	`-lowering-.f64`
1538×	`/-lowering-/.f32`
1538×	`/-lowering-/.f64`
1396×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	175
1	93	175
2	227	175
3	686	174
4	2637	172
0	8475	172

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* z (- (* (/ (cos y) z) x) (sin y)))
z
(- (* (/ (cos y) z) x) (sin y))
(* (/ (cos y) z) x)
(/ (cos y) z)
(cos y)
y
x
(sin y)
(- 0 (* z y))
0
(* z y)
z
y
(* (* 1/6 (* y (* y y))) z)
(* 1/6 (* y (* y y)))
1/6
(* y (* y y))
y
(* y y)
z
(* (- (* z -1/6) (/ (- (* x -1/2) (/ (- z (/ x y)) y)) y)) (neg (* y (* y y))))
(- (* z -1/6) (/ (- (* x -1/2) (/ (- z (/ x y)) y)) y))
(* z -1/6)
z
-1/6
(/ (- (* x -1/2) (/ (- z (/ x y)) y)) y)
(- (* x -1/2) (/ (- z (/ x y)) y))
(* x -1/2)
x
-1/2
(/ (- z (/ x y)) y)
(- z (/ x y))
(/ x y)
y
(neg (* y (* y y)))
(* y (* y y))
(* y y)
(/ 1 (/ 1 (* x (cos y))))
1
(/ 1 (* x (cos y)))
(* x (cos y))
x
(cos y)
y

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

localize234.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓	accuracy	99.9%	(/.f64 (-.f64 z (/.f64 x y)) y)
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.5%	(*.f64 z #s(literal -1/6 binary64))
✓	accuracy	59.7%	(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y y)))
✓	accuracy	92.7%	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))
✓	accuracy	99.9%	(/.f64 (cos.f64 y) z)
✓	accuracy	99.7%	(*.f64 (/.f64 (cos.f64 y) z) x)
✓	accuracy	89.6%	(.f64 z (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))

Results

189.0ms

256×

valid

Compiler

Compiled 207 to 34 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 22.0ms (34.4% of total)

ival-div: 13.0ms (20.3% of total)

...c/correct-round.rkt:119:19: 8.0ms (12.5% of total)

ival-cos: 7.0ms (11% of total)

ival-sin: 6.0ms (9.4% of total)

ival-sub: 6.0ms (9.4% of total)

const: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

series37.0ms (0.3%)

Counts

19 → 480

Calls

Call 1

Inputs
#<alt (* z (- (* (/ (cos y) z) x) (sin y)))>
#<alt (- (* (/ (cos y) z) x) (sin y))>
#<alt (* (/ (cos y) z) x)>
#<alt (/ (cos y) z)>
#<alt (- 0 (* z y))>
#<alt (* z y)>
#<alt (* (* 1/6 (* y (* y y))) z)>
#<alt (* 1/6 (* y (* y y)))>
#<alt (* y (* y y))>
#<alt (* y y)>
#<alt (* (- (* z -1/6) (/ (- (* x -1/2) (/ (- z (/ x y)) y)) y)) (neg (* y (* y y))))>
#<alt (- (* z -1/6) (/ (- (* x -1/2) (/ (- z (/ x y)) y)) y))>
#<alt (* z -1/6)>
#<alt (/ (- (* x -1/2) (/ (- z (/ x y)) y)) y)>
#<alt (/ 1 (/ 1 (* x (cos y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (/ (- z (/ x y)) y)>

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

Calls

120 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(/ 1 (* x (cos y)))
2.0ms	z	@	inf	(* (* 1/6 (* y (* y y))) z)
1.0ms	z	@	0	(* (- (* z -1/6) (/ (- (* x -1/2) (/ (- z (/ x y)) y)) y)) (neg (* y (* y y))))
1.0ms	x	@	0	(* (- (* z -1/6) (/ (- (* x -1/2) (/ (- z (/ x y)) y)) y)) (neg (* y (* y y))))
1.0ms	x	@	inf	(* (- (* z -1/6) (/ (- (* x -1/2) (/ (- z (/ x y)) y)) y)) (neg (* y (* y y))))

rewrite395.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4098×	`-lowering-.f32`
4098×	`-lowering-.f64`
4016×	`/-lowering-/.f32`
4016×	`/-lowering-/.f64`
2046×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	124
1	190	124
2	1562	124
0	8957	124

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 528

Calls

Call 1

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

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

simplify352.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

5428×	`-lowering-.f32`
5428×	`-lowering-.f64`
1582×	`times-frac`
1314×	`+-lowering-+.f64`
1314×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	4269
1	1260	3858
2	4490	3761
0	8313	3761

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* 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 z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(/ x z)
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* -1 (* 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)
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
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(* x (cos y))
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(.f64 z (+.f64 (/.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y)) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(* -1 (* z (+ (* -1 (/ (- (* -1/2 (/ x y)) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2)))))
(.f64 z (+.f64 (/.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y)) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(/ x (pow y 3))
(/.f64 x (.f64 y (.f64 y y)))
(/ (+ x (* -1 (* y z))) (pow y 3))
(/.f64 (-.f64 (/.f64 x y) z) (*.f64 y y))
(/ (+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) (pow y 3))
(/.f64 (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z))) (.f64 y (*.f64 y y)))
(/ (+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) (pow y 3))
(/.f64 (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z))) (.f64 y (*.f64 y y)))
(* -1/2 (/ x y))
(*.f64 x (/.f64 #s(literal -1/2 binary64) y))
(/ (+ (* -1 (/ z y)) (* -1/2 x)) y)
(/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)) y)
(/ (+ (* -1 (/ z y)) (+ (* -1/2 x) (/ x (pow y 2)))) y)
(/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)
(/ (+ (* -1 (/ z y)) (+ (* -1/2 x) (/ x (pow y 2)))) y)
(/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)
(* -1/2 (/ x y))
(*.f64 x (/.f64 #s(literal -1/2 binary64) y))
(* -1 (/ (+ (* 1/2 x) (/ z y)) y))
(/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 z) (/ x y)) y)) (* 1/2 x)) y))
(/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 z) (/ x y)) y)) (* 1/2 x)) y))
(/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) 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 -1/2 binary64) (.f64 x (*.f64 y y))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/24 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 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (+.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 5/24 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 61/720 binary64)) x) (/.f64 #s(literal 5/24 binary64) x))))))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* 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 -1/2 binary64) (.f64 x (*.f64 y y))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/24 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 #s(literal -1/2 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 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)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y)
(+ (* -1 (/ x (pow y 2))) (/ z y))
(/.f64 (-.f64 z (/.f64 x y)) y)
(+ (* -1 (/ x (pow y 2))) (/ z y))
(/.f64 (-.f64 z (/.f64 x y)) y)
(+ (* -1 (/ x (pow y 2))) (/ z y))
(/.f64 (-.f64 z (/.f64 x y)) y)
(/ z y)
(/.f64 z y)
(* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)))
(.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y (*.f64 y z)))))
(* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)))
(.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y (*.f64 y z)))))
(* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)))
(.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y (*.f64 y z)))))
(/ z y)
(/.f64 z y)
(* -1 (* z (- (/ x (* (pow y 2) z)) (/ 1 y))))
(.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y (*.f64 y z)))))
(* -1 (* z (- (/ x (* (pow y 2) z)) (/ 1 y))))
(.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y (*.f64 y z)))))
(* -1 (* z (- (/ x (* (pow y 2) z)) (/ 1 y))))
(.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y (*.f64 y z)))))
(/ z y)
(/.f64 z y)
(+ (* -1 (/ x (pow y 2))) (/ z y))
(/.f64 (-.f64 z (/.f64 x y)) y)
(+ (* -1 (/ x (pow y 2))) (/ z y))
(/.f64 (-.f64 z (/.f64 x y)) y)
(+ (* -1 (/ x (pow y 2))) (/ z y))
(/.f64 (-.f64 z (/.f64 x y)) y)
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y)
(* x (- (/ z (* x y)) (/ 1 (pow y 2))))
(.f64 x (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(* x (- (/ z (* x y)) (/ 1 (pow y 2))))
(.f64 x (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(* x (- (/ z (* x y)) (/ 1 (pow y 2))))
(.f64 x (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y)
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2)))))
(.f64 x (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2)))))
(.f64 x (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2)))))
(.f64 x (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal -1 binary64) (.f64 y y))))
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y)
(/ (+ (* -1 x) (* y z)) (pow y 2))
(/.f64 (-.f64 z (/.f64 x y)) y)
(/ (+ (* -1 x) (* y z)) (pow y 2))
(/.f64 (-.f64 z (/.f64 x y)) y)
(/ (+ (* -1 x) (* y z)) (pow y 2))
(/.f64 (-.f64 z (/.f64 x y)) y)
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ x y))) y)
(/.f64 (-.f64 z (/.f64 x y)) y)
(/ (+ z (* -1 (/ x y))) y)
(/.f64 (-.f64 z (/.f64 x y)) y)
(/ (+ z (* -1 (/ x y))) y)
(/.f64 (-.f64 z (/.f64 x y)) y)
(/ z y)
(/.f64 z y)
(* -1 (/ (+ (* -1 z) (/ x y)) y))
(/.f64 (-.f64 z (/.f64 x y)) y)
(* -1 (/ (+ (* -1 z) (/ x y)) y))
(/.f64 (-.f64 z (/.f64 x y)) y)
(* -1 (/ (+ (* -1 z) (/ x y)) y))
(/.f64 (-.f64 z (/.f64 x y)) y)

eval134.0ms (1.2%)

Compiler: Compiled 23896 to 2392 computations (90% saved)

prune229.0ms (2%)

Pruning

60 alts after pruning (55 fresh and 5 done)

	Pruned	Kept	Total
New	1042	19	1061
Fresh	5	36	41
Picked	3	2	5
Done	1	3	4
Total	1051	60	1111

Accuracy

100.0%

Counts

1111 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	76.2%	(/.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) #s(literal 1 binary64))) (.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
	65.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))) (.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)))))
	8.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 z y))
	59.8%	(/.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))
	40.9%	(/.f64 (.f64 (.f64 #s(literal -1 binary64) (.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)))
	31.4%	(/.f64 (*.f64 x z) z)
	34.0%	(/.f64 z (/.f64 z x))
	42.7%	(/.f64 x (cos.f64 y))
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
	8.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y))))))
	31.3%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	40.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	35.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
	59.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	52.4%	(-.f64 x (*.f64 z y))
	6.9%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) z) y) (/.f64 y z)))
	7.6%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
	5.7%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
	41.3%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	50.6%	(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
	41.2%	(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z z))) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))))))
✓	37.2%	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
	24.5%	(+.f64 x (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
	24.3%	(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) y)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
	39.1%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))))
	39.0%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))))))
	39.1%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
	51.3%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
	39.1%	(+.f64 x (.f64 y (.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
	39.0%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	12.8%	(.f64 (/.f64 (/.f64 (-.f64 z (/.f64 x y)) y) y) (neg.f64 (.f64 y (*.f64 y y))))
	12.2%	(.f64 (/.f64 (-.f64 (.f64 y (+.f64 z (.f64 x (.f64 y #s(literal 1/2 binary64))))) x) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
	30.2%	(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
	14.4%	(.f64 (-.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) z) y)
	11.8%	(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))) (.f64 y #s(literal 1 binary64))) (.f64 y (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))))) (neg.f64 (.f64 y (.f64 y y))))
	8.5%	(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) (neg.f64 (.f64 y (*.f64 y y))))
	3.2%	(.f64 (.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) y) y) z)
	6.4%	(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
	8.4%	(.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y)) (neg.f64 (.f64 y (*.f64 y y))))
	31.3%	(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
✓	3.2%	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
	60.0%	(*.f64 (cos.f64 y) x)
	33.5%	(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
	45.1%	(*.f64 z (-.f64 (/.f64 x z) y))
✓	89.4%	(.f64 z (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
	30.1%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))))
	44.0%	(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
	33.6%	(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
	89.4%	(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
	14.4%	(.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z))
	3.2%	(.f64 y (.f64 z (.f64 (.f64 y y) #s(literal 1/6 binary64))))
	86.1%	(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
	38.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/2 binary64) y))))
	14.3%	(neg.f64 (*.f64 z y))
✓	41.0%	x

Compiler

Compiled 2764 to 1051 computations (62% saved)

regimes119.0ms (1%)

Counts

91 → 1

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 y (.f64 z (.f64 (.f64 y y) #s(literal 1/6 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(.f64 (.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) y) y) z)
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z))
(.f64 (-.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) z) y)
(+.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 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/2 binary64) y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) z) y) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 z y))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y))))))
(.f64 (/.f64 (/.f64 (-.f64 z (/.f64 x y)) y) y) (neg.f64 (.f64 y (*.f64 y y))))
(+.f64 x (.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 z y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z z))) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (/.f64 (-.f64 (.f64 y (+.f64 z (.f64 x (.f64 y #s(literal 1/2 binary64))))) x) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) y)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 x (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))) (.f64 y #s(literal 1 binary64))) (.f64 y (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))))) (neg.f64 (.f64 y (.f64 y y))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y 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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) x))))) (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64)))))) (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))))))) z)))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(/.f64 x (cos.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(.f64 z (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
(/.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 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(/.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 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))))
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))) (.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 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z) (+.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)))
(/.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) #s(literal 1 binary64))) (.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 (.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 #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 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))))) (-.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 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x x)) (.f64 z z)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z)))))
(.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 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 y) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (sin.f64 y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 x (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))
(.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #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 (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 (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)))))))

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

Calls

4 calls:

29.0ms	y
27.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
27.0ms	z
26.0ms	x

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)

regimes81.0ms (0.7%)

Counts

63 → 3

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 y (.f64 z (.f64 (.f64 y y) #s(literal 1/6 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(.f64 (.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) y) y) z)
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z))
(.f64 (-.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) z) y)
(+.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 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/2 binary64) y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) z) y) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 z y))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y))))))
(.f64 (/.f64 (/.f64 (-.f64 z (/.f64 x y)) y) y) (neg.f64 (.f64 y (*.f64 y y))))
(+.f64 x (.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 z y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z z))) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (/.f64 (-.f64 (.f64 y (+.f64 z (.f64 x (.f64 y #s(literal 1/2 binary64))))) x) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) y)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 x (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))) (.f64 y #s(literal 1 binary64))) (.f64 y (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))))) (neg.f64 (.f64 y (.f64 y y))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y 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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) x))))) (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64)))))) (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))))))) z)))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(/.f64 x (cos.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))))

Outputs

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

(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (*.f64 z (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))))

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

Calls

3 calls:

35.0ms	x
20.0ms	y
19.0ms	z

Results

Accuracy	Segments	Branch
77.1%	3	`x`
78.4%	3	`y`
74.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes60.0ms (0.5%)

Counts

56 → 3

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 y (.f64 z (.f64 (.f64 y y) #s(literal 1/6 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(.f64 (.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) y) y) z)
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z))
(.f64 (-.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) z) y)
(+.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 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/2 binary64) y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) z) y) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 z y))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y))))))
(.f64 (/.f64 (/.f64 (-.f64 z (/.f64 x y)) y) y) (neg.f64 (.f64 y (*.f64 y y))))
(+.f64 x (.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 z y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z z))) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (/.f64 (-.f64 (.f64 y (+.f64 z (.f64 x (.f64 y #s(literal 1/2 binary64))))) x) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) y)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 x (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))) (.f64 y #s(literal 1 binary64))) (.f64 y (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))))) (neg.f64 (.f64 y (.f64 y y))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y 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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) x))))) (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64)))))) (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))))))) z)))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(/.f64 x (cos.f64 y))

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

Calls

3 calls:

21.0ms	z
16.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
67.0%	3	`z`
68.2%	3	`x`
72.5%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes48.0ms (0.4%)

Counts

53 → 1

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 y (.f64 z (.f64 (.f64 y y) #s(literal 1/6 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(.f64 (.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) y) y) z)
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z))
(.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z))
(.f64 (-.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) z) y)
(+.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 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/2 binary64) y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) (/.f64 (*.f64 y y) z)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) z) y) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 z y))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y))))))
(.f64 (/.f64 (/.f64 (-.f64 z (/.f64 x y)) y) y) (neg.f64 (.f64 y (*.f64 y y))))
(+.f64 x (.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
(.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 z y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z z))) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)) y)) (neg.f64 (.f64 y (*.f64 y y))))
(.f64 (/.f64 (-.f64 (.f64 y (+.f64 z (.f64 x (.f64 y #s(literal 1/2 binary64))))) x) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) y)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 x (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(.f64 (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))) (.f64 y #s(literal 1 binary64))) (.f64 y (/.f64 y (/.f64 (-.f64 z (/.f64 x y)) y))))) (neg.f64 (.f64 y (.f64 y y))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y 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 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64))))) (+.f64 (.f64 x #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) x))))) (+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 1/24 binary64)))))) (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal 1/6 binary64)))))))) z)))

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

Calls

3 calls:

15.0ms	x
15.0ms	y
15.0ms	z

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
45.3%	3	`x`
43.3%	2	`z`
41.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
41.0%	1	`z`
41.0%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.011519811241562473	195.2006309591807
21.0ms	-47.62845725030513	-5.799511226170024e-9

Results

26.0ms

288×

valid

Compiler

Compiled 792 to 517 computations (34.7% saved)

Precisions

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

ival-cos: 6.0ms (39.1% of total)

ival-mult: 4.0ms (26.1% of total)

ival-sin: 3.0ms (19.6% of total)

ival-sub: 1.0ms (6.5% of total)

const: 0.0ms (0% of total)

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

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.00012522656518500704	0.011519811241562473
16.0ms	-387.27444275700066	-47.62845725030513

Results

33.0ms

208×

valid

Compiler

Compiled 395 to 273 computations (30.9% saved)

Precisions

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

ival-cos: 5.0ms (36.3% of total)

ival-sin: 4.0ms (29.1% of total)

ival-mult: 3.0ms (21.8% of total)

ival-sub: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.596627036753361e-143	1.046273234682749e-140
23.0ms	-2.6510504507856373e-132	-1.5144124435989508e-143

Results

33.0ms

272×

valid

Compiler

Compiled 239 to 183 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 11.0ms (49.3% of total)

ival-sin: 6.0ms (26.9% of total)

ival-mult: 4.0ms (17.9% of total)

ival-sub: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

64×	`unsub-neg_binary64`
60×	`neg-mul-1_binary64`
58×	`*-commutative_binary64`
42×	`+-commutative_binary64`
38×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	102
1	108	102
2	137	102
3	153	102
4	172	102
5	188	102
6	232	102
7	305	102
8	308	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 y #s(literal -7782220156096217/144115188075855872 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 1170935903116329/9007199254740992 binary64)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -48 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3314649325744685/288230376151711744 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 x #s(literal -8798873954024829/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) x (if (<=.f64 x #s(literal 5148598245097957/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) (neg.f64 (*.f64 z y)) x))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 y #s(literal -7782220156096217/144115188075855872 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 1170935903116329/9007199254740992 binary64)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -7782220156096217/144115188075855872 binary64)) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 y #s(literal 1170935903116329/9007199254740992 binary64)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (.f64 z (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))))
(if (<=.f64 y #s(literal -48 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3314649325744685/288230376151711744 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 x #s(literal -8798873954024829/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) x (if (<=.f64 x #s(literal 5148598245097957/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) (neg.f64 (*.f64 z y)) x))
(if (<=.f64 x #s(literal -8798873954024829/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) x (if (<=.f64 x #s(literal 5148598245097957/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) z)) x))
x

soundness2.4s (20.7%)

Rules

6380×	`-lowering-.f32`
6380×	`-lowering-.f64`
5040×	`-lowering-.f32`
5040×	`-lowering-.f64`
4710×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	208
1	248	183
2	2296	183
0	8671	183
0	1296	12240
1	4949	11160
0	8335	11160
0	33	124
1	190	124
2	1562	124
0	8957	124
0	817	9709
1	2921	8679
0	8775	8679
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
1×	iter limit
1×	node limit

Compiler

Compiled 242 to 144 computations (40.5% saved)

preprocess60.0ms (0.5%)

Compiler: Compiled 254 to 128 computations (49.6% saved)

Iter	Nodes	Cost
0	55	102
1	108	102
2	137	102
3	153	102
4	172	102
5	188	102
6	232	102
7	305	102
8	308	102

Iter	Nodes	Cost
0	55	102
1	108	102
2	137	102
3	153	102
4	172	102
5	188	102
6	232	102
7	305	102
8	308	102

analyze0.0ms (0%)

sample1.3s (11.7%)

preprocess100.0ms (0.9%)

explain127.0ms (1.1%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.3%)

localize59.0ms (0.5%)

series15.0ms (0.1%)

rewrite297.0ms (2.6%)

simplify267.0ms (2.3%)

eval29.0ms (0.3%)

prune45.0ms (0.4%)

simplify184.0ms (1.6%)

localize464.0ms (4.1%)

series114.0ms (1%)

rewrite806.0ms (7.1%)

simplify444.0ms (3.9%)

eval349.0ms (3.1%)

prune299.0ms (2.6%)

simplify230.0ms (2%)

localize306.0ms (2.7%)

series69.0ms (0.6%)

rewrite459.0ms (4%)

simplify533.0ms (4.7%)

eval163.0ms (1.4%)

prune217.0ms (1.9%)

simplify170.0ms (1.5%)

localize234.0ms (2.1%)

series37.0ms (0.3%)

rewrite395.0ms (3.5%)

simplify352.0ms (3.1%)

eval134.0ms (1.2%)

prune229.0ms (2%)

regimes119.0ms (1%)

regimes81.0ms (0.7%)

regimes60.0ms (0.5%)

regimes48.0ms (0.4%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

bsearch40.0ms (0.3%)

bsearch67.0ms (0.6%)

bsearch44.0ms (0.4%)

simplify17.0ms (0.2%)

soundness2.4s (20.7%)

preprocess60.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	55	102
1	108	102
2	137	102
3	153	102
4	172	102
5	188	102
6	232	102
7	305	102
8	308	102