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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.3s (12.1%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 716.0ms

ival-cos: 254.0ms (35.5% of total)

ival-sin: 235.0ms (32.8% of total)

ival-mult: 158.0ms (22.1% of total)

ival-sub: 57.0ms (8% of total)

const: 8.0ms (1.1% of total)

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

Bogosity

preprocess111.0ms (1%)

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)))

explain120.0ms (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

85.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 22.0ms (38.4% of total)

ival-cos: 21.0ms (36.7% of total)

ival-sin: 10.0ms (17.5% of total)

ival-sub: 3.0ms (5.2% of total)

const: 1.0ms (1.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify31.0ms (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)

localize50.0ms (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 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))

Results

35.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 8.0ms (38.2% of total)

ival-sin: 7.0ms (33.4% of total)

ival-mult: 4.0ms (19.1% of total)

ival-sub: 1.0ms (4.8% of total)

const: 0.0ms (0% of total)

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

series10.0ms (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
1.0ms	z	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	x	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	y	@	-inf	(- (* x (cos y)) (* z (sin y)))
1.0ms	y	@	inf	(- (* x (cos y)) (* z (sin y)))
0.0ms	y	@	0	(- (* x (cos y)) (* z (sin y)))

rewrite366.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
2346×	`pow-lowering-pow.f64`
2346×	`pow-lowering-pow.f32`
1544×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	36	18
2	255	18
3	3510	18
0	8366	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 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (+.f64 (neg.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)) (pow.f64 (.f64 #s(literal 0 binary64) (.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 (.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)))))
(.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))))))))
(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 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))

simplify207.0ms (1.9%)

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	583
2	1023	576
3	2841	572
4	5191	572
0	8098	572

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

eval32.0ms (0.3%)

Compiler: Compiled 6911 to 502 computations (92.7% saved)

prune39.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	234	14	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	234	15	249

Accuracy

99.9%

Counts

249 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.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))))
	20.9%	(/.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 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	60.3%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	79.3%	(-.f64 x (*.f64 z (sin.f64 y)))
	55.6%	(-.f64 x (*.f64 z y))
▶	55.2%	(+.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)))
	55.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
	45.4%	(.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)))
▶	99.7%	(.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))))))
	85.7%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	39.0%	(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
	63.2%	(*.f64 x (cos.f64 y))
▶	43.5%	x

Compiler

Compiled 572 to 336 computations (41.3% saved)

simplify231.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 x (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 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	128	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓	cost-diff	26752	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))

Rules

2684×	`-lowering-.f32`
2684×	`-lowering-.f64`
2134×	`sum3-define`
1506×	`fma-lowering-fma.f32`
1506×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	273
1	71	267
2	196	194
3	629	194
4	2683	194
5	6432	194
0	8526	194

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize134.0ms (1.3%)

Localize:

Found 15 expressions of interest:

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

Results

93.0ms

256×

valid

Compiler

Compiled 247 to 27 computations (89.1% saved)

Precisions

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

ival-mult: 18.0ms (35.1% of total)

ival-cos: 7.0ms (13.7% of total)

ival-div: 6.0ms (11.7% of total)

ival-sin: 6.0ms (11.7% of total)

ival-sub: 5.0ms (9.8% of total)

ival-add: 4.0ms (7.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (7.8% of total)

const: 1.0ms (2% of total)

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

series42.0ms (0.4%)

Counts

17 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
3.0ms	z	@	-inf	(+ x (* y (- (* y (+ (* x -1/2) (* z (* y 1/6)))) z)))
2.0ms	x	@	inf	(/ 1 (- (* x (cos y)) (* z (sin y))))
1.0ms	x	@	-inf	(/ 1 (- (* x (cos y)) (* z (sin y))))
1.0ms	z	@	-inf	(* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))

rewrite563.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3088×	`-lowering-.f32`
3088×	`-lowering-.f64`
2770×	`/-lowering-/.f32`
2770×	`/-lowering-/.f64`
2454×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	194
1	160	139
2	1468	138
0	8190	138

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1151

Calls

Call 1

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

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

simplify433.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

6254×	`-lowering-.f32`
6254×	`-lowering-.f64`
2892×	`+-lowering-+.f64`
2892×	`+-lowering-+.f32`
1550×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	724	6862
1	2655	6254
0	8507	6254

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

eval411.0ms (3.9%)

Compiler: Compiled 96501 to 3960 computations (95.9% saved)

prune280.0ms (2.6%)

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	2249	33	2282
Fresh	5	4	9
Picked	3	2	5
Done	0	1	1
Total	2257	40	2297

Accuracy

100.0%

Counts

2297 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.6%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	37.2%	(/.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 (.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))))))
	26.1%	(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z))) (.f64 x x)) (-.f64 (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))) z)) x))
	36.0%	(/.f64 (-.f64 (.f64 x x) (.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 x (.f64 z (sin.f64 y))))
	47.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
	35.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
▶	36.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))))
	55.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
	43.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	37.9%	(/.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)))
✓	79.3%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	55.6%	(-.f64 x (*.f64 z y))
	55.2%	(-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
	39.0%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	36.5%	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))))))
	53.6%	(+.f64 x (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z)) (.f64 y (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
	36.5%	(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z))))))))
▶	44.2%	(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) z)))
	19.1%	(+.f64 x (.f64 y (-.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))))) y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (*.f64 x #s(literal -1/2 binary64)))))) z)))
	55.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
▶	55.3%	(+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z)))
	55.3%	(+.f64 x (.f64 y (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	42.2%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	49.5%	(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) x)))))
	42.2%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	47.5%	(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	47.5%	(.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 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64))) (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))))))
	38.7%	(.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 z (sin.f64 y)))))
	47.5%	(.f64 (.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64))) (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))) (.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))))))
	16.3%	(.f64 (.f64 z y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
	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))))
	85.7%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	3.1%	(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64)))
▶	92.8%	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
	72.3%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z (sin.f64 y)) x)))
	63.2%	(*.f64 x (cos.f64 y))
✓	43.5%	x

Compiler

Compiled 1889 to 981 computations (48.1% saved)

simplify274.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

4596×	`-lowering-.f32`
4596×	`-lowering-.f64`
1854×	`fma-lowering-fma.f32`
1854×	`fma-lowering-fma.f64`
1806×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	474
1	133	447
2	449	336
3	2272	325
4	6243	325
0	8381	325

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize386.0ms (3.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.0%	(-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
✓	accuracy	89.1%	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	accuracy	73.6%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	57.8%	(/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))))
✓	accuracy	99.5%	(*.f64 #s(literal 1/6 binary64) z)
✓	accuracy	97.6%	(-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 y (.f64 y (*.f64 #s(literal 1/6 binary64) z))))
✓	accuracy	83.2%	(-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
✓	accuracy	43.2%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 y (.f64 y (*.f64 #s(literal 1/6 binary64) z)))))
✓	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	93.0%	(.f64 z (.f64 y y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	95.3%	(/.f64 (*.f64 z (sin.f64 y)) x)
✓	accuracy	92.8%	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))

Results

162.0ms	125×	1	valid
108.0ms	120×	0	valid
18.0ms	11×	2	valid

Compiler

Compiled 495 to 47 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 69.0ms (42.5% of total)

ival-cos: 30.0ms (18.5% of total)

ival-sub: 18.0ms (11.1% of total)

backward-pass: 14.0ms (8.6% of total)

ival-div: 11.0ms (6.8% of total)

...c/correct-round.rkt:119:19: 7.0ms (4.3% of total)

ival-add: 6.0ms (3.7% of total)

ival-sin: 6.0ms (3.7% of total)

const: 1.0ms (0.6% of total)

series109.0ms (1%)

Counts

25 → 744

Calls

Call 1

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

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

Calls

186 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(/ 1 (/ (+ x (* z (sin y))) (- (* x x) (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y))))))))
8.0ms	x	@	0	(+ x (* y (- (* 1/6 (* z (* y y))) z)))
7.0ms	y	@	0	(* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (- (* x (* -1/2 y)) (* y (* y (* 1/6 z))))) z))
6.0ms	x	@	inf	(+ x (* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (- (* x (* -1/2 y)) (* y (* y (* 1/6 z))))) z)))
5.0ms	x	@	0	(+ x (* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (- (* x (* -1/2 y)) (* y (* y (* 1/6 z))))) z)))

rewrite358.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3716×	`-lowering-.f32`
3716×	`-lowering-.f64`
1732×	`pow-lowering-pow.f64`
1732×	`pow-lowering-pow.f32`
1514×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	332
1	307	204
2	2933	196
0	8095	196

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 529

Calls

Call 1

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

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

simplify448.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

6830×	`-lowering-.f32`
6830×	`-lowering-.f64`
3302×	`+-lowering-+.f64`
3302×	`+-lowering-+.f32`
1596×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	779	9125
1	2752	8631
0	8783	8631

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ 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)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
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(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))) x)) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 2))) x)) (* z (sin y))) x)) 1)))
x
(+ x (* -1 (* z (sin y))))
(+ x (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) x)) (+ (* -1 (/ (pow (sin y) 2) x)) (* 1/2 (/ 1 x))))) (sin y))))
(+ x (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) x)) (+ (* -1 (/ (pow (sin y) 2) x)) (* 1/2 (/ 1 x)))))) x)) (* 1/2 (/ (cos (* 2 y)) x))) (+ (* -1 (/ (pow (sin y) 2) x)) (* 1/2 (/ 1 x))))) (sin y))))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(* z (- (+ (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (pow x 2) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))))))
(* z (- (+ (* -1 (/ (* x (- (/ (pow x 2) (sin y)) (* -1 (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (pow x 2) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))))))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(* -1 (* z (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 2) (sin y))) (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))) z)) (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 2))) z)) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (- (* -1 (/ (pow x 2) (sin y))) (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3)))) (* z (sin y)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))) z)) (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 2))) z)) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))
(/ (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (* z (sin y))))
(/ (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (* z (sin y))))
(/ (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (* z (sin y))))
(/ (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (* z (sin y))))
(/ (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (* z (sin y))))
(/ (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (* z (sin y))))
(/ (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (* z (sin y))))
(/ (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (* z (sin y))))
(* -1 (/ (sin y) (* z (- 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* -1 (/ x (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (sin y) (* z (- 1/2 (* 1/2 (cos (* 2 y))))))))
(+ (* -1 (/ (sin y) (* z (- 1/2 (* 1/2 (cos (* 2 y))))))) (* x (- (* -1 (/ (* x (sin y)) (* (pow z 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(+ (* -1 (/ (sin y) (* z (- 1/2 (* 1/2 (cos (* 2 y))))))) (* x (- (* x (- (* -1 (/ x (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (sin y) (* (pow z 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(/ 1 x)
(/ (+ 1 (/ (* z (sin y)) x)) x)
(/ (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (* z (sin y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* z (sin y)) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* z (sin y))) x)) 1) x))
(/ 1 x)
(+ (/ 1 x) (/ (* z (sin y)) (pow x 2)))
(+ (* z (+ (* z (- (* 1/2 (/ 1 (pow x 3))) (* 1/2 (/ (cos (* 2 y)) (pow x 3))))) (/ (sin y) (pow x 2)))) (/ 1 x))
(+ (* z (+ (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (* 1/2 (/ (cos (* 2 y)) (pow x 3))))) (/ (sin y) (pow x 2)))) (/ 1 x))
(/ (sin y) (* z (- (* 1/2 (cos (* 2 y))) 1/2)))
(/ (+ (/ x (* z (- (* 1/2 (cos (* 2 y))) 1/2))) (/ (sin y) (- (* 1/2 (cos (* 2 y))) 1/2))) z)
(/ (+ (* -1 (/ (* (pow x 2) (sin y)) (* (pow z 2) (pow (- (* 1/2 (cos (* 2 y))) 1/2) 2)))) (+ (/ x (* z (- (* 1/2 (cos (* 2 y))) 1/2))) (/ (sin y) (- (* 1/2 (cos (* 2 y))) 1/2)))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow z 3) (pow (- (* 1/2 (cos (* 2 y))) 1/2) 2)))) (+ (/ x (* z (- (* 1/2 (cos (* 2 y))) 1/2))) (/ (sin y) (- (* 1/2 (cos (* 2 y))) 1/2)))) (/ (* (pow x 2) (sin y)) (* (pow z 2) (pow (- (* 1/2 (cos (* 2 y))) 1/2) 2)))) z)
(/ (sin y) (* z (- (* 1/2 (cos (* 2 y))) 1/2)))
(* -1 (/ (+ (* -1 (/ x (* z (- (* 1/2 (cos (* 2 y))) 1/2)))) (* -1 (/ (sin y) (- (* 1/2 (cos (* 2 y))) 1/2)))) z))
(* -1 (/ (+ (* -1 (/ (sin y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (sin y)) (* z (pow (- (* 1/2 (cos (* 2 y))) 1/2) 2)))) (/ x (- (* 1/2 (cos (* 2 y))) 1/2))) z))) z))
(* -1 (/ (+ (* -1 (/ (sin y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* -1 (/ (+ (* -1 (/ (- (/ (pow x 3) (* z (pow (- (* 1/2 (cos (* 2 y))) 1/2) 2))) (* -1 (/ (* (pow x 2) (sin y)) (pow (- (* 1/2 (cos (* 2 y))) 1/2) 2)))) z)) (/ x (- (* 1/2 (cos (* 2 y))) 1/2))) z))) z))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (+ (/ z (pow x 2)) (/ (* y (pow z 2)) (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (pow z 3) (pow x 4))))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(/ (+ x (* z (sin y))) (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ x (* z (sin y))) (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ x (* z (sin y))) (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ x (* z (sin y))) (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ x (* z (sin y))) (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ x (* z (sin y))) (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ x (* z (sin y))) (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (+ x (* z (sin y))) (- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (sin y))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
x
(* x (+ 1 (/ (* z (sin y)) x)))
(* x (+ 1 (/ (* z (sin y)) x)))
(* x (+ 1 (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))
x
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ x z)))
(* z (+ (sin y) (/ x z)))
(* z (+ (sin y) (/ x z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(+ x (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* -1/36 (* (pow y 4) (pow z 2)))
(- (* 1/4 (* (pow x 2) (pow y 2))) (* 1/36 (* (pow y 4) (pow z 2))))
(- (* 1/4 (* (pow x 2) (pow y 2))) (* 1/36 (* (pow y 4) (pow z 2))))
(- (* 1/4 (* (pow x 2) (pow y 2))) (* 1/36 (* (pow y 4) (pow z 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))
(* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))
(* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))
(* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))
(* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1/36 (* (pow y 2) (pow z 2))) (* 1/4 (pow x 2))))
(* (pow y 2) (+ (* -1/36 (* (pow y 2) (pow z 2))) (* 1/4 (pow x 2))))
(* (pow y 2) (+ (* -1/36 (* (pow y 2) (pow z 2))) (* 1/4 (pow x 2))))
(* -1/36 (* (pow y 4) (pow z 2)))
(* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))
(* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))
(* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))
(* -1/36 (* (pow y 4) (pow z 2)))
(* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))
(* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))
(* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
(+ (* -1/36 (* (pow y 4) (pow z 2))) (* 1/4 (* (pow x 2) (pow y 2))))
(+ (* -1/36 (* (pow y 4) (pow z 2))) (* 1/4 (* (pow x 2) (pow y 2))))
(+ (* -1/36 (* (pow y 4) (pow z 2))) (* 1/4 (* (pow x 2) (pow y 2))))
(* -1/36 (* (pow y 4) (pow z 2)))
(* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))
(* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))
(* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))
(* -1/36 (* (pow y 4) (pow z 2)))
(* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))
(* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))
(* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))
(* -1/6 (* (pow y 2) z))
(- (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z)))
(- (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z)))
(- (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z)))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (* -1/6 (/ (* (pow y 2) z) x))))
(* x (+ (* -1/2 y) (* -1/6 (/ (* (pow y 2) z) x))))
(* x (+ (* -1/2 y) (* -1/6 (/ (* (pow y 2) z) x))))
(* -1/2 (* x y))
(* -1 (* x (+ (* 1/6 (/ (* (pow y 2) z) x)) (* 1/2 y))))
(* -1 (* x (+ (* 1/6 (/ (* (pow y 2) z) x)) (* 1/2 y))))
(* -1 (* x (+ (* 1/6 (/ (* (pow y 2) z) x)) (* 1/2 y))))
(* -1/2 (* x y))
(* y (+ (* -1/2 x) (* -1/6 (* y z))))
(* y (+ (* -1/2 x) (* -1/6 (* y z))))
(* y (+ (* -1/2 x) (* -1/6 (* y z))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (- (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 2) (- (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 2) (- (* -1/2 (/ x y)) (* 1/6 z)))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (- (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 2) (- (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 2) (- (* -1/2 (/ x y)) (* 1/6 z)))
(* -1/2 (* x y))
(+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))
(+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))
(+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))
(* -1/6 (* (pow y 2) z))
(* z (- (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))))
(* z (- (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))))
(* z (- (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))))
(* -1/6 (* (pow y 2) z))
(* -1 (* z (- (* 1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* -1 (* z (- (* 1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* -1 (* z (- (* 1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))))
(pow x 2)
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow x 2))
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow x 2))
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow x 2))
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow x 2) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow x 2) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow x 2) (pow z 2))) 1/2))
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow x 2) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow x 2) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow x 2) (pow z 2))) 1/2))
(pow x 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (* 1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (* (pow y 2) (- (* -2/45 (* (pow y 2) (pow z 2))) (* -1/3 (pow z 2)))) (pow z 2))) (pow x 2))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow x 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))

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

eval175.0ms (1.6%)

Compiler: Compiled 42368 to 3106 computations (92.7% saved)

prune195.0ms (1.8%)

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	1311	16	1327
Fresh	12	20	32
Picked	3	2	5
Done	0	3	3
Total	1326	41	1367

Accuracy

100.0%

Counts

1367 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.6%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	37.2%	(/.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 (.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))))))
	36.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (+.f64 (.f64 z (sin.f64 y)) x))
	56.8%	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x x))) x) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
	26.2%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
	47.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	25.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
	32.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 z (.f64 y (*.f64 y z))))))
	55.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
	43.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	37.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
	32.4%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (/.f64 (.f64 z (.f64 z y)) (.f64 x (.f64 x x)))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	79.3%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	55.6%	(-.f64 x (*.f64 z y))
	55.2%	(-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
	39.0%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶	16.1%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
	41.2%	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
▶	15.9%	(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z)))
	45.0%	(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 y (/.f64 (.f64 z #s(literal -1/6 binary64)) x)))))) z)))
	19.1%	(+.f64 x (.f64 y (-.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))))) y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (*.f64 x #s(literal -1/2 binary64)))))) z)))
	55.3%	(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z)))
▶	55.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
✓	55.3%	(+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z)))
	42.2%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	42.2%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	47.5%	(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
▶	92.8%	(.f64 (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))) x)
	47.5%	(.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 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64))) (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))))))
	16.3%	(.f64 (.f64 z y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
	7.3%	(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
	85.7%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	3.1%	(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64)))
	3.1%	(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	32.0%	(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
▶	88.6%	(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
	63.2%	(*.f64 x (cos.f64 y))
✓	43.5%	x

Compiler

Compiled 1663 to 944 computations (43.2% saved)

simplify268.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sin.f64 y) (/.f64 z x))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
✓	cost-diff	0	(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
✓	cost-diff	1024	(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
✓	cost-diff	1024	(-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)
✓	cost-diff	1024	(.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z))
✓	cost-diff	1024	(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z)))
✓	cost-diff	0	(.f64 y (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z))
✓	cost-diff	0	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	cost-diff	0	(*.f64 z (/.f64 (sin.f64 y) x))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
✓	cost-diff	0	(.f64 (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))) x)

Rules

5064×	`-lowering-.f32`
5064×	`-lowering-.f64`
2414×	`/-lowering-/.f32`
2414×	`/-lowering-/.f64`
1544×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	363
1	118	344
2	511	318
3	2791	276
4	7646	276
0	8061	276

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (- (cos y) (* z (/ (sin y) x))) x)
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(- (cos y) (* z (/ (sin y) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
y
(* z (/ (sin y) x))
(/.f64 (*.f64 z (sin.f64 y)) x)
z
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
x
(- 0 (* z y))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
0
#s(literal 0 binary64)
(* z y)
(*.f64 y z)
z
y
(+ x (* y (- (* y (* x -1/2)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
x
(* y (- (* y (* x -1/2)) z))
(.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z))
y
(- (* y (* x -1/2)) z)
(-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z)
(* y (* x -1/2))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
z
(+ x (* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6))) z)))
(+.f64 x (.f64 y (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -3/2 binary64)) z) (-.f64 (.f64 #s(literal -6 binary64) (.f64 (.f64 z (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) z))))
x
(* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6))) z))
(.f64 y (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -3/2 binary64)) z) (-.f64 (.f64 #s(literal -6 binary64) (.f64 (.f64 z (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) z)))
y
(- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6))) z)
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -3/2 binary64)) z) (-.f64 (.f64 #s(literal -6 binary64) (.f64 (.f64 z (.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) z))
(/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal -3/2 binary64)) z) (.f64 #s(literal -6 binary64) (.f64 (.f64 z (.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64))))
(- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z)))))
(.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal -1/36 binary64)))))
(* (* x (* -1/2 y)) (* x (* -1/2 y)))
(.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(* x (* -1/2 y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))
(.f64 (.f64 y y) (.f64 z (.f64 z (.f64 (.f64 y y) #s(literal 1/36 binary64)))))
(* y (* y (* 1/6 z)))
(.f64 y (.f64 y (*.f64 z #s(literal 1/6 binary64))))
(* y (* 1/6 z))
(.f64 y (.f64 z #s(literal 1/6 binary64)))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
z
(* z (* (* y y) -1/6))
(.f64 y (.f64 (*.f64 y z) #s(literal -1/6 binary64)))
(* (* y y) -1/6)
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* y y)
(*.f64 y y)
-1/6
#s(literal -1/6 binary64)
(* x (- (cos y) (* (sin y) (/ z x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
x
(- (cos y) (* (sin y) (/ z x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
y
(* (sin y) (/ z x))
(/.f64 (*.f64 z (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(/ z x)
(/.f64 z x)
z

localize345.0ms (3.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
✓	accuracy	95.7%	(*.f64 (sin.f64 y) (/.f64 z x))
✓	accuracy	92.8%	(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
✓	accuracy	93.0%	(.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
✓	accuracy	92.9%	(.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z))
✓	accuracy	83.2%	(-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
✓	accuracy	51.5%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
✓	accuracy	100.0%	(.f64 y (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) x)
✓	accuracy	96.4%	(*.f64 z (/.f64 (sin.f64 y) x))
✓	accuracy	92.8%	(.f64 (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))) x)

Results

277.0ms

256×

valid

Compiler

Compiled 376 to 40 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

...c/correct-round.rkt:119:19: 137.0ms (58.8% of total)

ival-mult: 67.0ms (28.8% of total)

ival-sub: 7.0ms (3% of total)

ival-cos: 7.0ms (3% of total)

ival-div: 6.0ms (2.6% of total)

ival-sin: 6.0ms (2.6% of total)

ival-add: 2.0ms (0.9% of total)

const: 1.0ms (0.4% of total)

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

series31.0ms (0.3%)

Counts

21 → 648

Calls

Call 1

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

Outputs
#<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 (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (- (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<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)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<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)>
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#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (- (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/36 (* (pow y 4) (pow z 2)))>
#<alt (- (* 1/4 (* (pow x 2) (pow y 2))) (* 1/36 (* (pow y 4) (pow z 2))))>
#<alt (- (* 1/4 (* (pow x 2) (pow y 2))) (* 1/36 (* (pow y 4) (pow z 2))))>
#<alt (- (* 1/4 (* (pow x 2) (pow y 2))) (* 1/36 (* (pow y 4) (pow z 2))))>
#<alt (* 1/4 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))>
#<alt (* 1/4 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1/36 (/ (* (pow y 4) (pow z 2)) (pow x 2))) (* 1/4 (pow y 2))))>
#<alt (* 1/4 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/36 (* (pow y 2) (pow z 2))) (* 1/4 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1/36 (* (pow y 2) (pow z 2))) (* 1/4 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1/36 (* (pow y 2) (pow z 2))) (* 1/4 (pow x 2))))>
#<alt (* -1/36 (* (pow y 4) (pow z 2)))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))>
#<alt (* -1/36 (* (pow y 4) (pow z 2)))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))>
#<alt (* (pow y 4) (- (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/36 (pow z 2))))>
#<alt (* 1/4 (* (pow x 2) (pow y 2)))>
#<alt (+ (* -1/36 (* (pow y 4) (pow z 2))) (* 1/4 (* (pow x 2) (pow y 2))))>
#<alt (+ (* -1/36 (* (pow y 4) (pow z 2))) (* 1/4 (* (pow x 2) (pow y 2))))>
#<alt (+ (* -1/36 (* (pow y 4) (pow z 2))) (* 1/4 (* (pow x 2) (pow y 2))))>
#<alt (* -1/36 (* (pow y 4) (pow z 2)))>
#<alt (* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))>
#<alt (* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))>
#<alt (* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))>
#<alt (* -1/36 (* (pow y 4) (pow z 2)))>
#<alt (* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))>
#<alt (* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))>
#<alt (* (pow z 2) (- (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 1/36 (pow y 4))))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* -1/6 (* (pow y 2) z))>

Calls

162 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6))) z)
1.0ms	y	@	inf	(+ x (* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6))) z)))
1.0ms	z	@	inf	(* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6))) z))
1.0ms	z	@	inf	(+ x (* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6))) z)))
1.0ms	y	@	-inf	(+ x (* y (- (/ (- (* (* x (* -1/2 y)) (* x (* -1/2 y))) (* (* y (* y (* 1/6 z))) (* y (* y (* 1/6 z))))) (* z (* (* y y) -1/6))) z)))

rewrite399.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3812×	`-lowering-.f32`
3812×	`-lowering-.f64`
2330×	`fma-lowering-fma.f32`
2330×	`fma-lowering-fma.f64`
1842×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	233
1	238	231
2	2386	222
0	8155	222

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 576

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (sin.f64 y)))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (sin.f64 y))) x))
(fma.f64 (cos.f64 y) x (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (sin.f64 y))) x))
(fma.f64 x (cos.f64 y) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (sin.f64 y)))))
(/.f64 (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (/.f64 x (sin.f64 y))) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 z (/.f64 x (sin.f64 y))) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))))
(/.f64 (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x))))) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (/.f64 x (sin.f64 y))) #s(literal 3 binary64))) x) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 z (/.f64 x (sin.f64 y))) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))
(*.f64 (-.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))) x)
(+.f64 (cos.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (sin.f64 y))))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y))))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 z x) (/.f64 z x))) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 z (/.f64 x (sin.f64 y))) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y))))))) (/.f64 (pow.f64 (/.f64 z (/.f64 x (sin.f64 y))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 z (/.f64 x (sin.f64 y))) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y))))))))
(fma.f64 z (neg.f64 (/.f64 (sin.f64 y) x)) (cos.f64 y))
(fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) (-.f64 #s(literal 0 binary64) z) (cos.f64 y))
(fma.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 z x) (cos.f64 y))
(fma.f64 #s(literal -1 binary64) (/.f64 z (/.f64 x (sin.f64 y))) (cos.f64 y))
(fma.f64 (neg.f64 (/.f64 z x)) (sin.f64 y) (cos.f64 y))
(fma.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z (cos.f64 y))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (/.f64 x (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z (/.f64 x (sin.f64 y))) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (/.f64 x (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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 z x) (/.f64 z x))) (*.f64 (cos.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (sin.f64 y)))))))
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(pow.f64 (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/36 binary64))))) (.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/36 binary64))))) (.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)))))))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal 1/216 binary64))) (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal 1/216 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/36 binary64)))) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/36 binary64)))))))))
(.f64 (.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/36 binary64))))) (.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 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/36 binary64)))))))
(.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 (.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 y (.f64 (*.f64 y #s(literal -1/6 binary64)) z))
(.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 y z) (*.f64 y #s(literal -1/6 binary64)))
(.f64 (.f64 y y) (*.f64 #s(literal -1/6 binary64) z))
(.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y)))
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)
(.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64))
(.f64 (.f64 z #s(literal -1/6 binary64)) (*.f64 y y))

simplify406.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

6152×	`-lowering-.f32`
6152×	`-lowering-.f64`
2086×	`+-lowering-+.f64`
2086×	`+-lowering-+.f32`
1734×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	6609
1	1318	6286
2	4470	6219
0	8182	6219

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

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

eval430.0ms (4%)

Compiler: Compiled 40085 to 2778 computations (93.1% saved)

prune152.0ms (1.4%)

Pruning

50 alts after pruning (44 fresh and 6 done)

	Pruned	Kept	Total
New	1221	16	1237
Fresh	3	28	31
Picked	4	1	5
Done	0	5	5
Total	1228	50	1278

Accuracy

100.0%

Counts

1278 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.6%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	37.2%	(/.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 (.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))))))
	36.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (+.f64 (.f64 z (sin.f64 y)) x))
	10.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
	15.0%	(/.f64 (+.f64 (.f64 y (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 x z)) z)
	72.2%	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))
	26.2%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
	47.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	25.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
	32.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 z (.f64 y (*.f64 y z))))))
	55.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
	43.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	37.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
	32.4%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (/.f64 (.f64 z (.f64 z y)) (.f64 x (.f64 x x)))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	79.3%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	55.6%	(-.f64 x (*.f64 z y))
	55.2%	(-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
	39.0%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	41.2%	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
	31.7%	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) y) (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x)))))
	16.0%	(+.f64 x (.f64 y (-.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 (.f64 y y))) #s(literal -1/6 binary64)) z)))
	45.0%	(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 y (/.f64 (.f64 z #s(literal -1/6 binary64)) x)))))) z)))
	19.1%	(+.f64 x (.f64 y (-.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))))) y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (*.f64 x #s(literal -1/2 binary64)))))) z)))
	16.0%	(+.f64 x (.f64 y (-.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 (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
	55.3%	(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z)))
✓	55.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
✓	55.3%	(+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z)))
	44.5%	(+.f64 x (.f64 y (.f64 y (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))))
	42.2%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	47.5%	(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	89.4%	(*.f64 (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 x z))) x)
	72.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))) x)
	47.5%	(.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 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64))) (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))))))
	33.4%	(.f64 (.f64 (+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z))) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))))
	16.3%	(.f64 (.f64 z y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
	7.3%	(.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))))
	16.1%	(*.f64 (neg.f64 y) z)
	63.2%	(*.f64 (cos.f64 y) x)
	85.7%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	3.1%	(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64)))
	3.1%	(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	32.0%	(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
	68.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
	24.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y (/.f64 x z)) #s(literal -3/2 binary64))))
	3.2%	(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
	3.6%	(.f64 #s(literal -3/2 binary64) (.f64 x (*.f64 y (/.f64 x z))))
✓	43.5%	x

Compiler

Compiled 2701 to 959 computations (64.5% saved)

regimes99.0ms (0.9%)

Counts

80 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -3/2 binary64) (.f64 x (*.f64 y (/.f64 x z))))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y (/.f64 x z)) #s(literal -3/2 binary64))))
(.f64 (.f64 z y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (.f64 y (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))))
(+.f64 x (.f64 y (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (+.f64 (.f64 y (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 x z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(.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 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 z (.f64 y (*.f64 y z))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) x)))))
(+.f64 x (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z)) (.f64 y (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) y) (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (/.f64 (.f64 z (.f64 z y)) (.f64 x (.f64 x x)))))))
(-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 (.f64 (+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z))) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))))
(+.f64 x (.f64 y (-.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 (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (-.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 (.f64 y y))) #s(literal -1/6 binary64)) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z))))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 y (/.f64 (.f64 z #s(literal -1/6 binary64)) x)))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))))) y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (*.f64 x #s(literal -1/2 binary64)))))) z)))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z))) (.f64 x x)) (-.f64 (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))) z)) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z (sin.f64 y)) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))) x)
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(-.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 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(.f64 (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))) x)
(*.f64 (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 x z))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.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 x (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (+.f64 (.f64 z (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))))
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x) (+.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.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 x))) x) (+.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(.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 z (sin.f64 y)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 x (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 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (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 x (cos.f64 y)) (.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 (.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 (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64))) (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64))) (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))))))

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

Calls

4 calls:

23.0ms	y
23.0ms	z
22.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
21.0ms	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)

regimes55.0ms (0.5%)

Counts

54 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -3/2 binary64) (.f64 x (*.f64 y (/.f64 x z))))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y (/.f64 x z)) #s(literal -3/2 binary64))))
(.f64 (.f64 z y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (.f64 y (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))))
(+.f64 x (.f64 y (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (+.f64 (.f64 y (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 x z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(.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 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 z (.f64 y (*.f64 y z))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) x)))))
(+.f64 x (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z)) (.f64 y (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) y) (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (/.f64 (.f64 z (.f64 z y)) (.f64 x (.f64 x x)))))))
(-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 (.f64 (+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z))) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))))
(+.f64 x (.f64 y (-.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 (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (-.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 (.f64 y y))) #s(literal -1/6 binary64)) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z))))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 y (/.f64 (.f64 z #s(literal -1/6 binary64)) x)))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))))) y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (*.f64 x #s(literal -1/2 binary64)))))) z)))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z))) (.f64 x x)) (-.f64 (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))) z)) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z (sin.f64 y)) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))) x)
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))

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

Calls

3 calls:

16.0ms	x
15.0ms	z
15.0ms	y

Results

Accuracy	Segments	Branch
90.6%	3	`x`
82.8%	3	`y`
89.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes48.0ms (0.4%)

Counts

47 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -3/2 binary64) (.f64 x (*.f64 y (/.f64 x z))))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y (/.f64 x z)) #s(literal -3/2 binary64))))
(.f64 (.f64 z y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (.f64 y (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))))
(+.f64 x (.f64 y (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (+.f64 (.f64 y (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 x z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(.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 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 z (.f64 y (*.f64 y z))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) x)))))
(+.f64 x (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z)) (.f64 y (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) y) (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (/.f64 (.f64 z (.f64 z y)) (.f64 x (.f64 x x)))))))
(-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 (.f64 (+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z))) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))))
(+.f64 x (.f64 y (-.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 (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (-.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 (.f64 y y))) #s(literal -1/6 binary64)) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z))))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 y (/.f64 (.f64 z #s(literal -1/6 binary64)) x)))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))))) y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (*.f64 x #s(literal -1/2 binary64)))))) z)))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z))) (.f64 x x)) (-.f64 (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))) z)) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))

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

Calls

3 calls:

14.0ms	z
13.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
81.2%	4	`y`
79.7%	3	`z`
76.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes47.0ms (0.4%)

Counts

45 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -3/2 binary64) (.f64 x (*.f64 y (/.f64 x z))))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y (/.f64 x z)) #s(literal -3/2 binary64))))
(.f64 (.f64 z y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (.f64 y (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))))
(+.f64 x (.f64 y (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (+.f64 (.f64 y (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 x z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(.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 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 z (.f64 y (*.f64 y z))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) x)))))
(+.f64 x (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z)) (.f64 y (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) y) (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (/.f64 (.f64 z (.f64 z y)) (.f64 x (.f64 x x)))))))
(-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 (.f64 (+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z))) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))))
(+.f64 x (.f64 y (-.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 (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (-.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 (.f64 y y))) #s(literal -1/6 binary64)) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z))))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 y (/.f64 (.f64 z #s(literal -1/6 binary64)) x)))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))))) y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (*.f64 x #s(literal -1/2 binary64)))))) z)))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z))) (.f64 x x)) (-.f64 (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))) z)) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)

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

Calls

3 calls:

13.0ms	x
13.0ms	y
12.0ms	z

Results

Accuracy	Segments	Branch
71.2%	3	`x`
76.3%	3	`y`
71.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0.4%)

Counts

43 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -3/2 binary64) (.f64 x (*.f64 y (/.f64 x z))))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y (/.f64 x z)) #s(literal -3/2 binary64))))
(.f64 (.f64 z y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (.f64 y (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))))
(+.f64 x (.f64 y (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y y))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 (+.f64 (.f64 y (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 x z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(.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 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 z (.f64 y (*.f64 y z))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) x)))))
(+.f64 x (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z)) (.f64 y (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) y) (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (/.f64 (.f64 z (.f64 z y)) (.f64 x (.f64 x x)))))))
(-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 (.f64 (+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z))) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))))
(+.f64 x (.f64 y (-.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 (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (-.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 (.f64 y y))) #s(literal -1/6 binary64)) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)))) z)))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z))))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (.f64 x (.f64 #s(literal -1/2 binary64) y))) (.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))))) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 y (/.f64 (.f64 z #s(literal -1/6 binary64)) x)))))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/216 binary64) (.f64 y (.f64 y y))))) y) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 1/6 binary64) z)) (*.f64 x #s(literal -1/2 binary64)))))) z)))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) z)))) z))) (.f64 x x)) (-.f64 (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal 1/6 binary64) z)))) z)) x))

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

Calls

3 calls:

13.0ms	z
13.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
55.6%	1	`x`
55.6%	1	`z`
55.6%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
48.3%	3	`z`
43.5%	1	`y`
47.0%	3	`x`

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
43.5%	1	`x`
43.5%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.2595198256944041e-13	0.7949730569316952
20.0ms	-3.202056096092408e+134	-1.182606931439411e+128

Results

32.0ms

304×

valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

Precisions

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

ival-cos: 8.0ms (36.4% of total)

ival-sin: 6.0ms (27.3% of total)

ival-mult: 5.0ms (22.7% of total)

ival-sub: 2.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.5640699871899614e+65	1.1046585200420703e+69
19.0ms	-4.0437977347016997e+43	-1.4748754431230205e+41

Results

26.0ms

256×

valid

Compiler

Compiled 306 to 237 computations (22.5% saved)

Precisions

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

ival-sin: 7.0ms (38.8% of total)

ival-cos: 5.0ms (27.7% of total)

ival-mult: 4.0ms (22.2% of total)

ival-sub: 1.0ms (5.5% of total)

const: 0.0ms (0% of total)

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

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	18.08072768978465	50312349.50006751
26.0ms	-221714449.32977143	-976136.0602578002

Results

39.0ms

256×

valid

Compiler

Compiled 418 to 301 computations (28% saved)

Precisions

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

ival-cos: 17.0ms (55.3% of total)

ival-sin: 8.0ms (26% of total)

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

ival-sub: 1.0ms (3.3% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.5442128788596123e+98	1.0235924506808375e+99
23.0ms	-8.893983424748663e+222	-1.3590062718125898e+210

Results

27.0ms

256×

valid

Compiler

Compiled 226 to 173 computations (23.5% saved)

Precisions

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

ival-sin: 8.0ms (42.8% of total)

ival-cos: 5.0ms (26.7% of total)

ival-mult: 4.0ms (21.4% of total)

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

const: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`cancel-sign-sub-inv_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	92
1	89	92
2	106	92
3	114	92
4	117	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -12499999999999999018525456208837414375943728421621557688046888881231037700957540559107157701893136178506170557229730686316552491368448 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 z #s(literal -18500000000000000443529422267723124626685952 binary64)) (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (if (<=.f64 z #s(literal 145000000000000005728009710115836410923129829554029484741580715720704 binary64)) (.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))))
(if (<=.f64 y #s(literal -1000000 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 37/2 binary64)) (+.f64 x (.f64 y (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -1400000000000000102356635056556793599562623349985887098059132674217557391132909992625508774201400377734654963199576683754688639082473402625387656715539864146615028064759886186269874462089965222940690387879067648 binary64)) (.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) x (.f64 (neg.f64 y) z)))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -12499999999999999018525456208837414375943728421621557688046888881231037700957540559107157701893136178506170557229730686316552491368448 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 z #s(literal -18500000000000000443529422267723124626685952 binary64)) (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (if (<=.f64 z #s(literal 145000000000000005728009710115836410923129829554029484741580715720704 binary64)) (.f64 x (cos.f64 y)) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))))
(if (<=.f64 z #s(literal -18500000000000000443529422267723124626685952 binary64)) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 z #s(literal 145000000000000005728009710115836410923129829554029484741580715720704 binary64)) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))))
(if (<=.f64 y #s(literal -1000000 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 37/2 binary64)) (+.f64 x (.f64 y (.f64 z (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -1400000000000000102356635056556793599562623349985887098059132674217557391132909992625508774201400377734654963199576683754688639082473402625387656715539864146615028064759886186269874462089965222940690387879067648 binary64)) (.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) x (.f64 (neg.f64 y) z)))
(if (<=.f64 z #s(literal -1400000000000000102356635056556793599562623349985887098059132674217557391132909992625508774201400377734654963199576683754688639082473402625387656715539864146615028064759886186269874462089965222940690387879067648 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) x (-.f64 #s(literal 0 binary64) (.f64 y z))))
x

soundness1.7s (16.4%)

Rules

6830×	`-lowering-.f32`
6830×	`-lowering-.f64`
6254×	`-lowering-.f32`
6254×	`-lowering-.f64`
3812×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	233
1	238	231
2	2386	222
0	8155	222
0	779	9125
1	2752	8631
0	8783	8631
0	724	6862
1	2655	6254
0	8507	6254
0	97	605
1	313	583
2	1023	576
3	2841	572
4	5191	572
0	8098	572

Stop Event

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

Compiler

Compiled 226 to 126 computations (44.2% saved)

preprocess79.0ms (0.7%)

Compiler: Compiled 248 to 110 computations (55.6% saved)

analyze0.0ms (0%)

sample1.3s (12.1%)

preprocess111.0ms (1%)

explain120.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.3%)

localize50.0ms (0.5%)

series10.0ms (0.1%)

rewrite366.0ms (3.4%)

simplify207.0ms (1.9%)

eval32.0ms (0.3%)

prune39.0ms (0.4%)

simplify231.0ms (2.2%)

localize134.0ms (1.3%)

series42.0ms (0.4%)

rewrite563.0ms (5.3%)

simplify433.0ms (4.1%)

eval411.0ms (3.9%)

prune280.0ms (2.6%)

simplify274.0ms (2.6%)

localize386.0ms (3.6%)

series109.0ms (1%)

rewrite358.0ms (3.4%)

simplify448.0ms (4.2%)

eval175.0ms (1.6%)

prune195.0ms (1.8%)

simplify268.0ms (2.5%)

localize345.0ms (3.2%)

series31.0ms (0.3%)

rewrite399.0ms (3.7%)

simplify406.0ms (3.8%)

eval430.0ms (4%)

prune152.0ms (1.4%)

regimes99.0ms (0.9%)

regimes55.0ms (0.5%)

regimes48.0ms (0.4%)

regimes47.0ms (0.4%)

regimes40.0ms (0.4%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch46.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch54.0ms (0.5%)

bsearch40.0ms (0.4%)

simplify15.0ms (0.1%)

soundness1.7s (16.4%)

preprocess79.0ms (0.7%)

end0.0ms (0%)

Profiling