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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.3s (11.7%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 738.0ms

ival-cos: 243.0ms (32.9% of total)

ival-sin: 220.0ms (29.8% of total)

ival-mult: 182.0ms (24.7% of total)

ival-sub: 82.0ms (11.1% of total)

const: 9.0ms (1.2% of total)

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

Bogosity

preprocess104.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain115.0ms (1%)

FPErrors

Click to see full error table

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

Results

84.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-cos: 17.0ms (41.7% of total)

ival-sin: 12.0ms (29.4% of total)

ival-mult: 8.0ms (19.6% of total)

ival-sub: 3.0ms (7.4% of total)

const: 1.0ms (2.5% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify69.0ms (0.6%)

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)

localize58.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

49.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-cos: 6.0ms (33.8% of total)

ival-sin: 6.0ms (33.8% of total)

ival-mult: 4.0ms (22.5% of total)

ival-sub: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	z	@	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)))

rewrite321.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 153

Calls

Call 1

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

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

simplify321.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval45.0ms (0.4%)

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

prune34.0ms (0.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	249	12	261
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	249	13	262

Accuracy

99.9%

Counts

262 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	43.9%	(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
✓	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	82.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	56.3%	(-.f64 x (*.f64 z y))
	55.3%	(+.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)))
▶	55.6%	(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
	99.6%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	44.0%	(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
	91.1%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
▶	57.9%	(*.f64 x (cos.f64 y))
▶	41.7%	x

Compiler

Compiled 454 to 256 computations (43.6% saved)

simplify173.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2480×	`sum4-define`
1862×	`sum3-define`
1760×	`fma-define`
1546×	`fnmadd-define`
1492×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	101
1	44	100
2	90	99
3	213	99
4	423	99
5	901	99
6	2486	99
7	3653	99
8	6322	99
0	8004	99

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (1.2%)

Localize:

Found 13 expressions of interest:

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

Results

108.0ms

256×

valid

Compiler

Compiled 116 to 19 computations (83.6% saved)

Precisions

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

ival-mult: 12.0ms (32% of total)

ival-cos: 7.0ms (18.7% of total)

ival-sub: 6.0ms (16% of total)

ival-sin: 6.0ms (16% of total)

ival-div: 4.0ms (10.7% of total)

ival-add: 1.0ms (2.7% of total)

const: 1.0ms (2.7% of total)

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

series22.0ms (0.2%)

Counts

13 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

rewrite374.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3616×	`-lowering-.f32`
3616×	`-lowering-.f64`
2718×	`/-lowering-/.f32`
2718×	`/-lowering-/.f64`
1642×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	110	74
2	843	73
0	8444	73

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 454

Calls

Call 1

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

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

simplify379.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4642×	`-lowering-.f32`
4642×	`-lowering-.f64`
1538×	`/-lowering-/.f32`
1538×	`/-lowering-/.f64`
1350×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	3297
1	1387	2928
2	4991	2877
0	8230	2877

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval140.0ms (1.3%)

Compiler: Compiled 24841 to 1744 computations (93% saved)

prune112.0ms (1%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	888	23	911
Fresh	6	1	7
Picked	2	3	5
Done	0	1	1
Total	896	28	924

Accuracy

100.0%

Counts

924 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
	38.4%	(/.f64 #s(literal 1 binary64) (/.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))
▶	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	43.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	35.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
	26.1%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (.f64 x x))))))
✓	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	55.2%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))))
✓	82.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	56.3%	(-.f64 x (*.f64 z y))
	55.4%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
	55.4%	(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) z)))
	44.0%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶	18.5%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
▶	55.5%	(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))))
	40.2%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
	52.6%	(.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)))
	11.0%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
	77.8%	(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
▶	91.0%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	2.9%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
	73.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
▶	40.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
	40.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
	40.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	57.9%	(*.f64 x (cos.f64 y))
✓	41.7%	x

Compiler

Compiled 802 to 520 computations (35.2% saved)

simplify272.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
✓	cost-diff	0	(-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))
✓	cost-diff	0	(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))))
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #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 (cos.f64 y) z)
✓	cost-diff	0	(*.f64 x (/.f64 (cos.f64 y) z))
✓	cost-diff	0	(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
✓	cost-diff	128	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))

Rules

2324×	`-lowering-.f32`
2324×	`-lowering-.f64`
1806×	`fnmadd-define`
1392×	`fma-lowering-fma.f32`
1392×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	195
1	97	180
2	294	179
3	919	179
4	2642	177
5	4631	177
6	7491	177
0	8818	177

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize221.0ms (2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓	accuracy	100.0%	(.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal -1/720 binary64))
✓	accuracy	98.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
✓	accuracy	100.0%	(.f64 x (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #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 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
✓	accuracy	99.9%	(/.f64 (cos.f64 y) z)
✓	accuracy	99.7%	(*.f64 x (/.f64 (cos.f64 y) z))
✓	accuracy	91.1%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))

Results

175.0ms

256×

valid

Compiler

Compiled 230 to 34 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 28.0ms (35.2% of total)

...c/correct-round.rkt:119:19: 19.0ms (23.9% of total)

ival-div: 10.0ms (12.6% of total)

ival-cos: 8.0ms (10.1% of total)

ival-add: 5.0ms (6.3% of total)

ival-sin: 5.0ms (6.3% of total)

ival-sub: 4.0ms (5% of total)

const: 1.0ms (1.3% of total)

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

series35.0ms (0.3%)

Counts

21 → 516

Calls

Call 1

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

Outputs
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (/ (* x (cos y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (/ x z)>
#<alt (+ (* -1 y) (/ x z))>
#<alt (+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))>
#<alt (+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (* -1 (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (* -1 (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ x z)>
#<alt (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ 1 z)>
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1/2 (* x y))))>
#<alt (* y (+ (* -1 z) (* -1/2 (* x y))))>
#<alt (* y (+ (* -1 z) (* -1/2 (* x y))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* -1 (* y z))>
#<alt (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))>
#<alt (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))>
#<alt (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* x (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))>
#<alt (* x (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))>
#<alt (* x (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* 1/2 (pow y 2)) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* 1/2 (pow y 2)) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* 1/2 (pow y 2)) (/ (* y z) x))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))>
#<alt (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))>
#<alt (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1 y) (* -1/2 (/ (* x (pow y 2)) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (* x (pow y 2)) z)))))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (* x (pow y 2)) z)))))>
#<alt (* -1 (* z (+ y (* 1/2 (/ (* x (pow y 2)) z)))))>
#<alt (* -1 (* y z))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (- (+ (* -1/2 x) (/ x (pow y 2))) (/ z y)))>
#<alt (* (pow y 2) (- (+ (* -1/2 x) (/ x (pow y 2))) (/ z y)))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)))>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))>
#<alt (/ -1 z)>
#<alt (- (* 1/2 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* x (- (* -1/4 (/ (* x (pow y 2)) (pow z 3))) (* -1/2 (/ y (pow z 2))))) (/ 1 z))>
#<alt (- (* x (- (* x (- (* 1/8 (/ (* x (pow y 3)) (pow z 4))) (* 1/4 (/ (pow y 2) (pow z 3))))) (* -1/2 (/ y (pow z 2))))) (/ 1 z))>
#<alt (/ -2 (* x y))>
#<alt (/ (- (* 4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x)>
#<alt (/ (- (* -8 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y)))) x)>
#<alt (/ (- (* 16 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -4 (/ z (* x (pow y 2)))) (+ (* 8 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 2 (/ 1 y))))) x)>
#<alt (/ -2 (* x y))>
#<alt (* -1 (/ (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow z 2) (* x (pow y 3)))) (* -4 (/ z (pow y 2)))) x)) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow z 3) (* x (pow y 4)))) (* -8 (/ (pow z 2) (pow y 3)))) x)) (* -4 (/ z (pow y 2)))) x)) (* 2 (/ 1 y))) x))>
#<alt (/ -1 z)>
#<alt (- (* 1/2 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* y (- (* -1/4 (/ (* (pow x 2) y) (pow z 3))) (* -1/2 (/ x (pow z 2))))) (/ 1 z))>
#<alt (- (* y (- (* y (- (* 1/8 (/ (* (pow x 3) y) (pow z 4))) (* 1/4 (/ (pow x 2) (pow z 3))))) (* -1/2 (/ x (pow z 2))))) (/ 1 z))>
#<alt (/ -2 (* x y))>
#<alt (/ (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y)>
#<alt (/ (- (* -8 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))) y)>
#<alt (/ (- (* 16 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -4 (/ z (* (pow x 2) y))) (+ (* 8 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 2 (/ 1 x))))) y)>
#<alt (/ -2 (* x y))>
#<alt (* -1 (/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow z 2) (* (pow x 3) y))) (* -4 (/ z (pow x 2)))) y)) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow z 3) (* (pow x 4) y))) (* -8 (/ (pow z 2) (pow x 3)))) y)) (* -4 (/ z (pow x 2)))) y)) (* 2 (/ 1 x))) y))>
#<alt (/ -2 (* x y))>
#<alt (- (* 4 (/ z (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y))))>
#<alt (- (* z (+ (* -8 (/ z (* (pow x 3) (pow y 3)))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y))))>
#<alt (- (* z (+ (* z (- (* 16 (/ z (* (pow x 4) (pow y 4)))) (* 8 (/ 1 (* (pow x 3) (pow y 3)))))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y))))>
#<alt (/ -1 z)>
#<alt (/ (- (* 1/2 (/ (* x y) z)) 1) z)>
#<alt (/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -1/2 (/ (* x y) z)))) z)>
#<alt (/ (- (* 1/8 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* -1/2 (/ (* x y) z)) (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ (* x y) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) z)) (* -1/2 (* x y))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (* (pow x 3) (pow y 3)) z)) (* -1/4 (* (pow x 2) (pow y 2)))) z)) (* -1/2 (* x y))) z))) z))>
#<alt (* -1 z)>
#<alt (- (* -1/2 (* x y)) z)>
#<alt (- (* -1/2 (* x y)) z)>
#<alt (- (* -1/2 (* x y)) z)>
#<alt (* -1/2 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* -1/2 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* -1/2 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* -1/2 y)))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* x (+ (* 1/2 y) (/ z x))))>
#<alt (* -1 (* x (+ (* 1/2 y) (/ z x))))>
#<alt (* -1 (* x (+ (* 1/2 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* -1/2 (* x y)) z)>
#<alt (- (* -1/2 (* x y)) z)>
#<alt (- (* -1/2 (* x y)) z)>
#<alt (* -1/2 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* y (+ (* 1/2 x) (/ z y))))>
#<alt (* -1 (* y (+ (* 1/2 x) (/ z y))))>
#<alt (* -1 (* y (+ (* 1/2 x) (/ z y))))>
#<alt (* -1/2 (* x y))>
#<alt (+ (* -1 z) (* -1/2 (* x y)))>
#<alt (+ (* -1 z) (* -1/2 (* x y)))>
#<alt (+ (* -1 z) (* -1/2 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* -1/2 (/ (* x y) z)) 1))>
#<alt (* z (- (* -1/2 (/ (* x y) z)) 1))>
#<alt (* z (- (* -1/2 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* 1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* 1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* 1/2 (/ (* x y) z)))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<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 (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/720 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 x)>
#<alt (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* -1/720 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* -1/720 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>

Calls

129 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ 1 (* x (cos y)))
2.0ms	x	@	0	(* x (+ 1 (* (* y y) (+ -1/2 (* (* y y) (+ 1/24 (* (* y y) -1/720)))))))
1.0ms	y	@	0	(* (* y y) (+ 1/24 (* (* y y) -1/720)))
1.0ms	x	@	inf	(/ 1 (- (* x (* y -1/2)) z))
1.0ms	y	@	-inf	(* z (- (* x (/ (cos y) z)) (sin y)))

rewrite412.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3610×	`-lowering-.f32`
3610×	`-lowering-.f64`
2722×	`/-lowering-/.f32`
2722×	`/-lowering-/.f64`
2034×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	151
1	221	139
2	1903	138
0	8848	138

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 594

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (/.f64 x (/.f64 z (cos.f64 y)))) (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(+.f64 (.f64 (/.f64 x (/.f64 z (cos.f64 y))) z) (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(fma.f64 z (/.f64 x (/.f64 z (cos.f64 y))) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(fma.f64 (/.f64 x (/.f64 z (cos.f64 y))) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(/.f64 (.f64 z (-.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))))
(/.f64 (.f64 z (-.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))))
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(/.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))))) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))))
(/.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64))) (.f64 y y)) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64))) (.f64 y y))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y y))
(.f64 (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) y)

simplify340.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4660×	`-lowering-.f32`
4660×	`-lowering-.f64`
2044×	`+-lowering-+.f64`
2044×	`+-lowering-+.f32`
1772×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	4522
1	1604	4073
2	5152	3991
0	8251	3991

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ x z)
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* 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 (* 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 z)
(- (* 1/2 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* x (- (* -1/4 (/ (* x (pow y 2)) (pow z 3))) (* -1/2 (/ y (pow z 2))))) (/ 1 z))
(- (* x (- (* x (- (* 1/8 (/ (* x (pow y 3)) (pow z 4))) (* 1/4 (/ (pow y 2) (pow z 3))))) (* -1/2 (/ y (pow z 2))))) (/ 1 z))
(/ -2 (* x y))
(/ (- (* 4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (* -8 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y)))) x)
(/ (- (* 16 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -4 (/ z (* x (pow y 2)))) (+ (* 8 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 2 (/ 1 y))))) x)
(/ -2 (* x y))
(* -1 (/ (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow z 2) (* x (pow y 3)))) (* -4 (/ z (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow z 3) (* x (pow y 4)))) (* -8 (/ (pow z 2) (pow y 3)))) x)) (* -4 (/ z (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(/ -1 z)
(- (* 1/2 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -1/4 (/ (* (pow x 2) y) (pow z 3))) (* -1/2 (/ x (pow z 2))))) (/ 1 z))
(- (* y (- (* y (- (* 1/8 (/ (* (pow x 3) y) (pow z 4))) (* 1/4 (/ (pow x 2) (pow z 3))))) (* -1/2 (/ x (pow z 2))))) (/ 1 z))
(/ -2 (* x y))
(/ (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (* -8 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))) y)
(/ (- (* 16 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -4 (/ z (* (pow x 2) y))) (+ (* 8 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 2 (/ 1 x))))) y)
(/ -2 (* x y))
(* -1 (/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow z 2) (* (pow x 3) y))) (* -4 (/ z (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow z 3) (* (pow x 4) y))) (* -8 (/ (pow z 2) (pow x 3)))) y)) (* -4 (/ z (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(/ -2 (* x y))
(- (* 4 (/ z (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y))))
(- (* z (+ (* -8 (/ z (* (pow x 3) (pow y 3)))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y))))
(- (* z (+ (* z (- (* 16 (/ z (* (pow x 4) (pow y 4)))) (* 8 (/ 1 (* (pow x 3) (pow y 3)))))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))) (* 2 (/ 1 (* x y))))
(/ -1 z)
(/ (- (* 1/2 (/ (* x y) z)) 1) z)
(/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -1/2 (/ (* x y) z)))) z)
(/ (- (* 1/8 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* -1/2 (/ (* x y) z)) (* 1/4 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (* -1/2 (/ (* x y) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (* (pow x 2) (pow y 2)) z)) (* -1/2 (* x y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (* (pow x 3) (pow y 3)) z)) (* -1/4 (* (pow x 2) (pow y 2)))) z)) (* -1/2 (* x y))) z))) z))
(* -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 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))))
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Outputs
(* x (cos y))
(*.f64 x (cos.f64 y))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(/ (* x (cos y)) z)
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(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
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(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
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(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(+.f64 (/.f64 x z) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) z) (*.f64 x (/.f64 #s(literal 1/24 binary64) z)))))))
(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (*.f64 y y)))))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (*.f64 y y)))))
(* -1/720 (pow y 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (*.f64 y y)))))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (*.f64 y y)))))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 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 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 5/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) x)))))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 61/720 binary64)) x) (/.f64 #s(literal 5/24 binary64) x))))))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) 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 (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 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y #s(literal 1/24 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(.f64 x (.f64 y #s(literal -1/2 binary64)))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* 1/24 (pow y 2))
(.f64 y (.f64 y #s(literal 1/24 binary64)))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(* -1/720 (pow y 4))
(.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -1/720 binary64)))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* -1/720 (pow y 4))
(.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -1/720 binary64)))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))

eval164.0ms (1.5%)

Compiler: Compiled 24515 to 2611 computations (89.3% saved)

prune199.0ms (1.8%)

Pruning

43 alts after pruning (37 fresh and 6 done)

	Pruned	Kept	Total
New	1143	22	1165
Fresh	4	15	19
Picked	3	2	5
Done	0	4	4
Total	1150	43	1193

Accuracy

100.0%

Counts

1193 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 z (.f64 y (.f64 z y)))))
	58.0%	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))))
	58.2%	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) z) (+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))
	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
	38.4%	(/.f64 #s(literal 1 binary64) (/.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))
	9.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z (.f64 y (.f64 z y))) (-.f64 #s(literal 0 binary64) (.f64 z y)))))
✓	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	43.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	40.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x)))
	35.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
✓	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	55.2%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))))
✓	82.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	56.3%	(-.f64 x (*.f64 z y))
	55.4%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
	55.4%	(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) z)))
	10.8%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
	8.2%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) z) (/.f64 (*.f64 y y) y)))
▶	18.5%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y)))
▶	44.0%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
▶	40.2%	(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)))
	56.5%	(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
	56.2%	(+.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) z)))
	40.2%	(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x y))))
	40.2%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
	11.0%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
	36.9%	(*.f64 z (/.f64 x z))
	77.8%	(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
✓	91.0%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	49.1%	(.f64 z (.f64 (cos.f64 y) (/.f64 x z)))
▶	90.9%	(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
	2.9%	(.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))))
	73.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
	39.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))))
	19.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))))))
	40.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y #s(literal -1/720 binary64)) y)))))))
	40.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
	40.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
	40.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	57.9%	(*.f64 x (cos.f64 y))
▶	18.5%	(neg.f64 (*.f64 z y))
✓	41.7%	x

Compiler

Compiled 1453 to 869 computations (40.2% saved)

simplify182.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y))))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)
✓	cost-diff	0	(/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y))
✓	cost-diff	0	(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)))
✓	cost-diff	0	(.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y)))
✓	cost-diff	256	(/.f64 (*.f64 z y) y)
✓	cost-diff	256	(/.f64 (*.f64 z y) z)
✓	cost-diff	-64	(neg.f64 (*.f64 z y))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(/.f64 (cos.f64 y) z)
✓	cost-diff	0	(-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))
✓	cost-diff	0	(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
✓	cost-diff	128	(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))

Rules

4186×	`-lowering-.f32`
4186×	`-lowering-.f64`
1440×	`sum3-define`
1116×	`fma-lowering-fma.f32`
1116×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	178
1	79	167
2	220	166
3	733	166
4	2626	162
5	4829	162
0	8997	162

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* z (* x (- (/ (cos y) z) (/ (sin y) x))))
z
(* x (- (/ (cos y) z) (/ (sin y) x)))
x
(- (/ (cos y) z) (/ (sin y) x))
(/ (cos y) z)
(cos y)
y
(/ (sin y) x)
(sin y)
(neg (* z y))
(* z y)
z
y
(- 0 (* (/ (* z y) z) (/ (* z y) y)))
0
(* (/ (* z y) z) (/ (* z y) y))
(/ (* z y) z)
(* z y)
z
y
(/ (* z y) y)
(+ x (/ y (/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)))
x
(/ y (/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y))
y
(/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)
(+ (/ -2 x) (/ (* z 4) (* x (* x y))))
(/ -2 x)
-2
(/ (* z 4) (* x (* x y)))
(* z 4)
z
4
(* x (* x y))
(* x y)
(- 0 (* z (sin y)))
0
(* z (sin y))
z
(sin y)
y

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

localize200.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	96.9%	(/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y))
✓	accuracy	96.9%	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)
✓	accuracy	86.6%	(/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))
✓	accuracy	100.0%	(.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	78.0%	(/.f64 (*.f64 z y) z)
✓	accuracy	77.9%	(/.f64 (*.f64 z y) y)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(neg.f64 (*.f64 z y))
✓	accuracy	99.9%	(/.f64 (cos.f64 y) z)
✓	accuracy	99.8%	(/.f64 (sin.f64 y) x)
✓	accuracy	99.6%	(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
✓	accuracy	91.1%	(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))

Results

159.0ms

256×

valid

Compiler

Compiled 208 to 31 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-cos: 36.0ms (41.1% of total)

ival-div: 24.0ms (27.4% of total)

ival-mult: 13.0ms (14.8% of total)

ival-sin: 6.0ms (6.8% of total)

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

ival-add: 3.0ms (3.4% of total)

const: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

series37.0ms (0.3%)

Counts

20 → 564

Calls

Call 1

Inputs
#<alt (* x (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (* x (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (- (/ (cos y) z) (/ (sin y) x))>
#<alt (/ (cos y) z)>
#<alt (* z y)>
#<alt (neg (* z y))>
#<alt (/ (* z y) z)>
#<alt (/ (* z y) y)>
#<alt (- 0 (* (/ (* z y) z) (/ (* z y) y)))>
#<alt (* (/ (* z y) z) (/ (* z y) y))>
#<alt (+ x (/ y (/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)))>
#<alt (/ y (/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y))>
#<alt (/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)>
#<alt (+ (/ -2 x) (/ (* z 4) (* x (* x y))))>
#<alt (- 0 (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (sin y)>
#<alt (/ (sin y) x)>
#<alt (/ (* z 4) (* x (* x y)))>
#<alt (* x (* x y))>

Outputs
#<alt (* -1 (sin y))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (/ (* x (cos y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (/ x z)>
#<alt (+ (* -1 y) (/ x z))>
#<alt (+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))>
#<alt (+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))>
#<alt (* x (- (/ (cos y) z) (/ (sin y) 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)) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (* -1 (sin y))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (* -1 (sin y))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (+ (* -1 (sin y)) (/ (* x (cos y)) z))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* x (* z (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (* x (* z (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (* x (* z (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (* x (* z (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (* x (* z (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (* x (* z (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (* x (* z (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (* x (* z (- (/ (cos y) z) (/ (sin y) x))))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ y x)) (/ 1 z))>
#<alt (+ (* y (- (* -1/2 (/ y z)) (/ 1 x))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/6 (/ y x)) (* 1/2 (/ 1 z)))) (/ 1 x))) (/ 1 z))>
#<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) z)>
#<alt (/ (+ (cos y) (* -1 (/ (* z (sin y)) x))) z)>
#<alt (/ (+ (cos y) (* -1 (/ (* z (sin y)) x))) z)>
#<alt (/ (+ (cos y) (* -1 (/ (* z (sin y)) x))) z)>
#<alt (* -1 (/ (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 (* -1 (/ (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 (* -1 (/ (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) z)>
#<alt (+ (* -1 (/ (sin y) x)) (/ (cos y) z))>
#<alt (+ (* -1 (/ (sin y) x)) (/ (cos y) z))>
#<alt (+ (* -1 (/ (sin y) x)) (/ (cos y) z))>
#<alt (/ (cos y) z)>
#<alt (+ (* -1 (/ (sin y) x)) (/ (cos y) z))>
#<alt (+ (* -1 (/ (sin y) x)) (/ (cos y) z))>
#<alt (+ (* -1 (/ (sin y) x)) (/ (cos y) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* -1 (* y z))>
#<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>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt x>
#<alt (* x (+ 1 (* 1/4 (/ (* x (pow y 3)) z))))>
#<alt (* x (+ 1 (* x (+ (* 1/8 (/ (* x (pow y 4)) (pow z 2))) (* 1/4 (/ (pow y 3) z))))))>
#<alt (* x (+ 1 (* x (+ (* 1/4 (/ (pow y 3) z)) (* x (- (* 1/16 (/ (* x (pow y 5)) (pow z 3))) (* -1/8 (/ (pow y 4) (pow z 2)))))))))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))>
#<alt (* x (- (+ 1 (+ (* -2 (/ (pow z 2) (pow x 2))) (* -1/2 (pow y 2)))) (/ (* y z) x)))>
#<alt (* x (- (+ 1 (+ (* -4 (/ (pow z 3) (* (pow x 3) y))) (* -1/2 (pow y 2)))) (+ (* 2 (/ (pow z 2) (pow x 2))) (/ (* y z) x))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -2 (/ (pow z 2) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) (* x y))) (* -2 (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/4 (/ (* (pow x 2) (pow y 3)) z)))>
#<alt (+ x (* (pow y 3) (+ (* 1/8 (/ (* (pow x 3) y) (pow z 2))) (* 1/4 (/ (pow x 2) z)))))>
#<alt (+ x (* (pow y 3) (+ (* 1/4 (/ (pow x 2) z)) (* y (- (* 1/16 (/ (* (pow x 4) y) (pow z 3))) (* -1/8 (/ (pow x 3) (pow z 2))))))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (- (+ (* -1/2 x) (/ x (pow y 2))) (+ (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ z y))))>
#<alt (* (pow y 2) (- (+ (* -4 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/2 x) (/ x (pow y 2)))) (+ (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ z y))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (- x (* 2 (/ (pow z 2) x))) y)) (* -1 z)) y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (- (+ x (* -4 (/ (pow z 3) (* (pow x 2) y)))) (* 2 (/ (pow z 2) x))) y)) (* -1 z)) y)) (* -1/2 x)))>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* z (- (* -2 (/ z x)) y))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* z (- (* z (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))) y))))>
#<alt x>
#<alt (+ x (* 1/4 (/ (* (pow x 2) (pow y 3)) z)))>
#<alt (+ x (+ (* 1/8 (/ (* (pow x 3) (pow y 4)) (pow z 2))) (* 1/4 (/ (* (pow x 2) (pow y 3)) z))))>
#<alt (- (+ x (+ (* 1/16 (/ (* (pow x 4) (pow y 5)) (pow z 3))) (* 1/4 (/ (* (pow x 2) (pow y 3)) z)))) (* -1/8 (/ (* (pow x 3) (pow y 4)) (pow z 2))))>
#<alt x>
#<alt (+ x (* 1/4 (/ (* (pow x 2) (pow y 3)) z)))>
#<alt (+ x (* -1 (/ (+ (* -1/4 (* (pow x 2) (pow y 3))) (* -1/8 (/ (* (pow x 3) (pow y 4)) z))) z)))>
#<alt (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow x 4) (pow y 5)) z)) (* 1/8 (* (pow x 3) (pow y 4)))) z)) (* -1/4 (* (pow x 2) (pow y 3)))) z)))>
#<alt (* 1/4 (/ (* (pow x 2) (pow y 3)) z))>
#<alt (* (pow y 3) (+ (* 1/8 (/ (* (pow x 3) y) (pow z 2))) (* 1/4 (/ (pow x 2) z))))>
#<alt (* (pow y 3) (+ (* 1/4 (/ (pow x 2) z)) (* y (- (* 1/16 (/ (* (pow x 4) y) (pow z 3))) (* -1/8 (/ (pow x 3) (pow z 2)))))))>
#<alt (* (pow y 3) (+ (* 1/4 (/ (pow x 2) z)) (* y (- (* y (- (* 1/32 (/ (* (pow x 5) y) (pow z 4))) (* -1/16 (/ (pow x 4) (pow z 3))))) (* -1/8 (/ (pow x 3) (pow z 2)))))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (- (+ (* -2 (/ (pow z 2) (* x (pow y 2)))) (* -1/2 x)) (/ z y)))>
#<alt (* (pow y 2) (- (+ (* -4 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* -1/2 x)) (+ (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ z y))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* 2 (/ (pow z 2) (* x y))) (* -1 z)) y)) (* -1/2 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (- (* -4 (/ (pow z 3) (* (pow x 2) y))) (* 2 (/ (pow z 2) x))) y)) (* -1 z)) y)) (* -1/2 x)))>
#<alt (* 1/4 (/ (* (pow x 2) (pow y 3)) z))>
#<alt (* (pow x 2) (+ (* 1/8 (/ (* x (pow y 4)) (pow z 2))) (* 1/4 (/ (pow y 3) z))))>
#<alt (* (pow x 2) (+ (* 1/4 (/ (pow y 3) z)) (* x (- (* 1/16 (/ (* x (pow y 5)) (pow z 3))) (* -1/8 (/ (pow y 4) (pow z 2)))))))>
#<alt (* (pow x 2) (+ (* 1/4 (/ (pow y 3) z)) (* x (- (* x (- (* 1/32 (/ (* x (pow y 6)) (pow z 4))) (* -1/16 (/ (pow y 5) (pow z 3))))) (* -1/8 (/ (pow y 4) (pow z 2)))))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* x (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))>
#<alt (* x (- (+ (* -2 (/ (pow z 2) (pow x 2))) (* -1/2 (pow y 2))) (/ (* y z) x)))>
#<alt (* x (- (+ (* -4 (/ (pow z 3) (* (pow x 3) y))) (* -1/2 (pow y 2))) (+ (* 2 (/ (pow z 2) (pow x 2))) (/ (* y z) x))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* 1/2 (pow y 2)) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -2 (/ (pow z 2) x)) (* y z)) x)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) (* x y))) (* -2 (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2)))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* x (pow y 2))) (* z (- (* -2 (/ z x)) y)))>
#<alt (+ (* -1/2 (* x (pow y 2))) (* z (- (* z (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))) y)))>
#<alt (* 1/4 (/ (* (pow x 2) (pow y 3)) z))>
#<alt (/ (+ (* 1/8 (/ (* (pow x 3) (pow y 4)) z)) (* 1/4 (* (pow x 2) (pow y 3)))) z)>
#<alt (/ (- (+ (* 1/16 (/ (* (pow x 4) (pow y 5)) (pow z 2))) (* 1/4 (* (pow x 2) (pow y 3)))) (* -1/8 (/ (* (pow x 3) (pow y 4)) z))) z)>
#<alt (/ (- (+ (* 1/32 (/ (* (pow x 5) (pow y 6)) (pow z 3))) (* 1/4 (* (pow x 2) (pow y 3)))) (+ (* -1/8 (/ (* (pow x 3) (pow y 4)) z)) (* -1/16 (/ (* (pow x 4) (pow y 5)) (pow z 2))))) z)>
#<alt (* 1/4 (/ (* (pow x 2) (pow y 3)) z))>
#<alt (* -1 (/ (+ (* -1/4 (* (pow x 2) (pow y 3))) (* -1/8 (/ (* (pow x 3) (pow y 4)) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow x 4) (pow y 5)) z)) (* 1/8 (* (pow x 3) (pow y 4)))) z)) (* -1/4 (* (pow x 2) (pow y 3)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 4) (pow y 5))) (* -1/32 (/ (* (pow x 5) (pow y 6)) z))) z)) (* 1/8 (* (pow x 3) (pow y 4)))) z)) (* -1/4 (* (pow x 2) (pow y 3)))) z))>
#<alt (* 4 (/ z (* (pow x 2) (pow y 2))))>
#<alt (/ (+ (* -2 (/ x y)) (* 4 (/ z (pow y 2)))) (pow x 2))>
#<alt (/ (+ (* -2 (/ x y)) (* 4 (/ z (pow y 2)))) (pow x 2))>
#<alt (/ (+ (* -2 (/ x y)) (* 4 (/ z (pow y 2)))) (pow x 2))>
#<alt (/ -2 (* x y))>
#<alt (/ (- (* 4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x)>
#<alt (/ (- (* 4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x)>
#<alt (/ (- (* 4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x)>
#<alt (/ -2 (* x y))>
#<alt (* -1 (/ (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x))>
#<alt (/ -2 (* x y))>
#<alt (- (* 4 (/ z (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y))))>
#<alt (- (* 4 (/ z (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y))))>
#<alt (- (* 4 (/ z (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y))))>
#<alt (* 4 (/ z (* (pow x 2) (pow y 2))))>
#<alt (* z (- (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x (* y z))))))>
#<alt (* z (- (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x (* y z))))))>
#<alt (* z (- (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x (* y z))))))>
#<alt (* 4 (/ z (* (pow x 2) (pow y 2))))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x (* y z)))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x (* y z)))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x (* y z)))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))))>
#<alt (* 4 (/ z (* (pow x 2) (pow y 2))))>
#<alt (/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) (pow y 2))>
#<alt (/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) (pow y 2))>
#<alt (/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) (pow y 2))>
#<alt (/ -2 (* x y))>
#<alt (/ (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y)>
#<alt (/ (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y)>
#<alt (/ (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y)>
#<alt (/ -2 (* x y))>
#<alt (* -1 (/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (/ (+ (* -2 x) (* 4 (/ z y))) (pow x 2))>
#<alt (/ (+ (* -2 x) (* 4 (/ z y))) (pow x 2))>
#<alt (/ (+ (* -2 x) (* 4 (/ z y))) (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ (- (* 4 (/ z (* x y))) 2) x)>
#<alt (/ (- (* 4 (/ z (* x y))) 2) x)>
#<alt (/ (- (* 4 (/ z (* x y))) 2) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* -4 (/ z (* x y)))) x))>
#<alt (* -1 (/ (+ 2 (* -4 (/ z (* x y)))) x))>
#<alt (* -1 (/ (+ 2 (* -4 (/ z (* x y)))) x))>
#<alt (/ -2 x)>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* z (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (* x z)))))>
#<alt (* z (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (* x z)))))>
#<alt (* z (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (* x z)))))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x z))) (* 4 (/ 1 (* (pow x 2) y))))))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x z))) (* 4 (/ 1 (* (pow x 2) y))))))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x z))) (* 4 (/ 1 (* (pow x 2) y))))))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) y)>
#<alt (/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) y)>
#<alt (/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) y)>
#<alt (/ -2 x)>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (/ -2 x)>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* 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 (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<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 (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* 4 (/ z (* (pow x 2) y)))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>

Calls

141 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/ (* z 4) (* x (* x y)))
2.0ms	z	@	-inf	(/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)
1.0ms	z	@	0	(/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)
1.0ms	y	@	0	(/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)
1.0ms	y	@	-inf	(* x (- (/ (cos y) z) (/ (sin y) x)))

rewrite545.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3608×	`/-lowering-/.f32`
3608×	`/-lowering-/.f64`
2810×	`-lowering-.f32`
2810×	`-lowering-.f64`
1810×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	170
1	193	149
2	2228	148
0	8321	148

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 700

Calls

Call 1

Inputs
(* x (- (/ (cos y) z) (/ (sin y) x)))
(* z (* x (- (/ (cos y) z) (/ (sin y) x))))
(- (/ (cos y) z) (/ (sin y) x))
(/ (cos y) z)
(* z y)
(neg (* z y))
(/ (* z y) z)
(/ (* z y) y)
(- 0 (* (/ (* z y) z) (/ (* z y) y)))
(* (/ (* z y) z) (/ (* z y) y))
(+ x (/ y (/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)))
(/ y (/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y))
(/ (+ (/ -2 x) (/ (* z 4) (* x (* x y)))) y)
(+ (/ -2 x) (/ (* z 4) (* x (* x y))))
(- 0 (* z (sin y)))
(* z (sin y))
(sin y)
(/ (sin y) x)
(/ (* z 4) (* x (* x y)))
(* x (* x y))

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

simplify386.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4462×	`-lowering-.f32`
4462×	`-lowering-.f64`
2320×	`+-lowering-+.f64`
2320×	`+-lowering-+.f32`
1578×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	548	4853
1	1842	4448
2	5786	4392
0	8136	4392

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* -1 (sin y))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(* x (- (/ (cos y) z) (/ (sin y) x)))
(* 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)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* -1 (sin y))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(* -1 (sin y))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(+ (* -1 (sin y)) (/ (* x (cos y)) z))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (* z (- (/ (cos y) z) (/ (sin y) x))))
(* x (* z (- (/ (cos y) z) (/ (sin y) x))))
(* x (* z (- (/ (cos y) z) (/ (sin y) x))))
(* x (* z (- (/ (cos y) z) (/ (sin y) x))))
(* x (* z (- (/ (cos y) z) (/ (sin y) x))))
(* x (* z (- (/ (cos y) z) (/ (sin y) x))))
(* x (* z (- (/ (cos y) z) (/ (sin y) x))))
(* x (* z (- (/ (cos y) z) (/ (sin y) x))))
(/ 1 z)
(+ (* -1 (/ y x)) (/ 1 z))
(+ (* y (- (* -1/2 (/ y z)) (/ 1 x))) (/ 1 z))
(+ (* y (- (* y (- (* 1/6 (/ y x)) (* 1/2 (/ 1 z)))) (/ 1 x))) (/ 1 z))
(- (/ (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)
(/ (+ (cos y) (* -1 (/ (* z (sin y)) x))) z)
(/ (+ (cos y) (* -1 (/ (* z (sin y)) x))) z)
(/ (+ (cos y) (* -1 (/ (* z (sin y)) x))) z)
(* -1 (/ (sin y) x))
(- (/ (cos y) z) (/ (sin y) x))
(- (/ (cos y) z) (/ (sin y) x))
(- (/ (cos y) z) (/ (sin y) x))
(* -1 (/ (sin y) x))
(- (/ (cos y) z) (/ (sin y) x))
(- (/ (cos y) z) (/ (sin y) x))
(- (/ (cos y) z) (/ (sin y) x))
(* -1 (/ (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) z)
(+ (* -1 (/ (sin y) x)) (/ (cos y) z))
(+ (* -1 (/ (sin y) x)) (/ (cos y) z))
(+ (* -1 (/ (sin y) x)) (/ (cos y) z))
(/ (cos y) z)
(+ (* -1 (/ (sin y) x)) (/ (cos y) z))
(+ (* -1 (/ (sin y) x)) (/ (cos y) z))
(+ (* -1 (/ (sin y) x)) (/ (cos y) z))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* 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))
(* -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
y
y
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(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
x
(* x (+ 1 (* 1/4 (/ (* x (pow y 3)) z))))
(* x (+ 1 (* x (+ (* 1/8 (/ (* x (pow y 4)) (pow z 2))) (* 1/4 (/ (pow y 3) z))))))
(* x (+ 1 (* x (+ (* 1/4 (/ (pow y 3) z)) (* x (- (* 1/16 (/ (* x (pow y 5)) (pow z 3))) (* -1/8 (/ (pow y 4) (pow z 2)))))))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(* x (- (+ 1 (+ (* -2 (/ (pow z 2) (pow x 2))) (* -1/2 (pow y 2)))) (/ (* y z) x)))
(* x (- (+ 1 (+ (* -4 (/ (pow z 3) (* (pow x 3) y))) (* -1/2 (pow y 2)))) (+ (* 2 (/ (pow z 2) (pow x 2))) (/ (* y z) x))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -2 (/ (pow z 2) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) (* x y))) (* -2 (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
x
(+ x (* 1/4 (/ (* (pow x 2) (pow y 3)) z)))
(+ x (* (pow y 3) (+ (* 1/8 (/ (* (pow x 3) y) (pow z 2))) (* 1/4 (/ (pow x 2) z)))))
(+ x (* (pow y 3) (+ (* 1/4 (/ (pow x 2) z)) (* y (- (* 1/16 (/ (* (pow x 4) y) (pow z 3))) (* -1/8 (/ (pow x 3) (pow z 2))))))))
(* -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))) (+ (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ z y))))
(* (pow y 2) (- (+ (* -4 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/2 x) (/ x (pow y 2)))) (+ (* 2 (/ (pow z 2) (* 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 (/ (- (* -1 (/ (- x (* 2 (/ (pow z 2) x))) y)) (* -1 z)) y)) (* -1/2 x)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (- (+ x (* -4 (/ (pow z 3) (* (pow x 2) y)))) (* 2 (/ (pow z 2) x))) y)) (* -1 z)) y)) (* -1/2 x)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1 (* y z)) (* -1/2 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* z (- (* -2 (/ z x)) y))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* z (- (* z (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))) y))))
x
(+ x (* 1/4 (/ (* (pow x 2) (pow y 3)) z)))
(+ x (+ (* 1/8 (/ (* (pow x 3) (pow y 4)) (pow z 2))) (* 1/4 (/ (* (pow x 2) (pow y 3)) z))))
(- (+ x (+ (* 1/16 (/ (* (pow x 4) (pow y 5)) (pow z 3))) (* 1/4 (/ (* (pow x 2) (pow y 3)) z)))) (* -1/8 (/ (* (pow x 3) (pow y 4)) (pow z 2))))
x
(+ x (* 1/4 (/ (* (pow x 2) (pow y 3)) z)))
(+ x (* -1 (/ (+ (* -1/4 (* (pow x 2) (pow y 3))) (* -1/8 (/ (* (pow x 3) (pow y 4)) z))) z)))
(+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow x 4) (pow y 5)) z)) (* 1/8 (* (pow x 3) (pow y 4)))) z)) (* -1/4 (* (pow x 2) (pow y 3)))) z)))
(* 1/4 (/ (* (pow x 2) (pow y 3)) z))
(* (pow y 3) (+ (* 1/8 (/ (* (pow x 3) y) (pow z 2))) (* 1/4 (/ (pow x 2) z))))
(* (pow y 3) (+ (* 1/4 (/ (pow x 2) z)) (* y (- (* 1/16 (/ (* (pow x 4) y) (pow z 3))) (* -1/8 (/ (pow x 3) (pow z 2)))))))
(* (pow y 3) (+ (* 1/4 (/ (pow x 2) z)) (* y (- (* y (- (* 1/32 (/ (* (pow x 5) y) (pow z 4))) (* -1/16 (/ (pow x 4) (pow z 3))))) (* -1/8 (/ (pow x 3) (pow z 2)))))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))
(* (pow y 2) (- (+ (* -2 (/ (pow z 2) (* x (pow y 2)))) (* -1/2 x)) (/ z y)))
(* (pow y 2) (- (+ (* -4 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* -1/2 x)) (+ (* 2 (/ (pow z 2) (* 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 (/ (- (* 2 (/ (pow z 2) (* x y))) (* -1 z)) y)) (* -1/2 x)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (- (* -4 (/ (pow z 3) (* (pow x 2) y))) (* 2 (/ (pow z 2) x))) y)) (* -1 z)) y)) (* -1/2 x)))
(* 1/4 (/ (* (pow x 2) (pow y 3)) z))
(* (pow x 2) (+ (* 1/8 (/ (* x (pow y 4)) (pow z 2))) (* 1/4 (/ (pow y 3) z))))
(* (pow x 2) (+ (* 1/4 (/ (pow y 3) z)) (* x (- (* 1/16 (/ (* x (pow y 5)) (pow z 3))) (* -1/8 (/ (pow y 4) (pow z 2)))))))
(* (pow x 2) (+ (* 1/4 (/ (pow y 3) z)) (* x (- (* x (- (* 1/32 (/ (* x (pow y 6)) (pow z 4))) (* -1/16 (/ (pow y 5) (pow z 3))))) (* -1/8 (/ (pow y 4) (pow z 2)))))))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(* x (- (+ (* -2 (/ (pow z 2) (pow x 2))) (* -1/2 (pow y 2))) (/ (* y z) x)))
(* x (- (+ (* -4 (/ (pow z 3) (* (pow x 3) y))) (* -1/2 (pow y 2))) (+ (* 2 (/ (pow z 2) (pow x 2))) (/ (* y z) x))))
(* -1/2 (* x (pow y 2)))
(* -1 (* x (+ (* 1/2 (pow y 2)) (/ (* y z) x))))
(* -1 (* x (+ (* -1 (/ (- (* -2 (/ (pow z 2) x)) (* y z)) x)) (* 1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) (* x y))) (* -2 (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2)))))
(* -1/2 (* x (pow y 2)))
(+ (* -1 (* y z)) (* -1/2 (* x (pow y 2))))
(+ (* -1/2 (* x (pow y 2))) (* z (- (* -2 (/ z x)) y)))
(+ (* -1/2 (* x (pow y 2))) (* z (- (* z (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))) y)))
(* 1/4 (/ (* (pow x 2) (pow y 3)) z))
(/ (+ (* 1/8 (/ (* (pow x 3) (pow y 4)) z)) (* 1/4 (* (pow x 2) (pow y 3)))) z)
(/ (- (+ (* 1/16 (/ (* (pow x 4) (pow y 5)) (pow z 2))) (* 1/4 (* (pow x 2) (pow y 3)))) (* -1/8 (/ (* (pow x 3) (pow y 4)) z))) z)
(/ (- (+ (* 1/32 (/ (* (pow x 5) (pow y 6)) (pow z 3))) (* 1/4 (* (pow x 2) (pow y 3)))) (+ (* -1/8 (/ (* (pow x 3) (pow y 4)) z)) (* -1/16 (/ (* (pow x 4) (pow y 5)) (pow z 2))))) z)
(* 1/4 (/ (* (pow x 2) (pow y 3)) z))
(* -1 (/ (+ (* -1/4 (* (pow x 2) (pow y 3))) (* -1/8 (/ (* (pow x 3) (pow y 4)) z))) z))
(* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (pow x 4) (pow y 5)) z)) (* 1/8 (* (pow x 3) (pow y 4)))) z)) (* -1/4 (* (pow x 2) (pow y 3)))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 4) (pow y 5))) (* -1/32 (/ (* (pow x 5) (pow y 6)) z))) z)) (* 1/8 (* (pow x 3) (pow y 4)))) z)) (* -1/4 (* (pow x 2) (pow y 3)))) z))
(* 4 (/ z (* (pow x 2) (pow y 2))))
(/ (+ (* -2 (/ x y)) (* 4 (/ z (pow y 2)))) (pow x 2))
(/ (+ (* -2 (/ x y)) (* 4 (/ z (pow y 2)))) (pow x 2))
(/ (+ (* -2 (/ x y)) (* 4 (/ z (pow y 2)))) (pow x 2))
(/ -2 (* x y))
(/ (- (* 4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (* 4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (* 4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ -2 (* x y))
(* -1 (/ (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -4 (/ z (* x (pow y 2)))) (* 2 (/ 1 y))) x))
(/ -2 (* x y))
(- (* 4 (/ z (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y))))
(- (* 4 (/ z (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y))))
(- (* 4 (/ z (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x y))))
(* 4 (/ z (* (pow x 2) (pow y 2))))
(* z (- (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x (* y z))))))
(* z (- (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x (* y z))))))
(* z (- (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (* 2 (/ 1 (* x (* y z))))))
(* 4 (/ z (* (pow x 2) (pow y 2))))
(* -1 (* z (- (* 2 (/ 1 (* x (* y z)))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))))
(* -1 (* z (- (* 2 (/ 1 (* x (* y z)))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))))
(* -1 (* z (- (* 2 (/ 1 (* x (* y z)))) (* 4 (/ 1 (* (pow x 2) (pow y 2)))))))
(* 4 (/ z (* (pow x 2) (pow y 2))))
(/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) (pow y 2))
(/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) (pow y 2))
(/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) (pow y 2))
(/ -2 (* x y))
(/ (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ -2 (* x y))
(* -1 (/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) y))
(* 4 (/ z (* (pow x 2) y)))
(/ (+ (* -2 x) (* 4 (/ z y))) (pow x 2))
(/ (+ (* -2 x) (* 4 (/ z y))) (pow x 2))
(/ (+ (* -2 x) (* 4 (/ z y))) (pow x 2))
(/ -2 x)
(/ (- (* 4 (/ z (* x y))) 2) x)
(/ (- (* 4 (/ z (* x y))) 2) x)
(/ (- (* 4 (/ z (* x y))) 2) x)
(/ -2 x)
(* -1 (/ (+ 2 (* -4 (/ z (* x y)))) x))
(* -1 (/ (+ 2 (* -4 (/ z (* x y)))) x))
(* -1 (/ (+ 2 (* -4 (/ z (* x y)))) x))
(/ -2 x)
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(* 4 (/ z (* (pow x 2) y)))
(* z (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (* x z)))))
(* z (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (* x z)))))
(* z (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (* x z)))))
(* 4 (/ z (* (pow x 2) y)))
(* -1 (* z (- (* 2 (/ 1 (* x z))) (* 4 (/ 1 (* (pow x 2) y))))))
(* -1 (* z (- (* 2 (/ 1 (* x z))) (* 4 (/ 1 (* (pow x 2) y))))))
(* -1 (* z (- (* 2 (/ 1 (* x z))) (* 4 (/ 1 (* (pow x 2) y))))))
(* 4 (/ z (* (pow x 2) y)))
(/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) y)
(/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) y)
(/ (+ (* -2 (/ y x)) (* 4 (/ z (pow x 2)))) y)
(/ -2 x)
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(/ -2 x)
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(- (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
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)
(/ 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)
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* 4 (/ z (* (pow x 2) y)))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)

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

eval447.0ms (4%)

Compiler: Compiled 26057 to 3195 computations (87.7% saved)

prune408.0ms (3.7%)

Pruning

63 alts after pruning (56 fresh and 7 done)

	Pruned	Kept	Total
New	1295	34	1329
Fresh	10	22	32
Picked	4	1	5
Done	0	6	6
Total	1309	63	1372

Accuracy

100.0%

Counts

1372 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.5%	(/.f64 (/.f64 (*.f64 y z) z) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
	58.0%	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))))
	14.5%	(/.f64 (neg.f64 (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z))) z)
	16.9%	(/.f64 (neg.f64 (.f64 (.f64 y z) (/.f64 (*.f64 y z) z))) y)
	13.1%	(/.f64 (neg.f64 (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
	38.4%	(/.f64 #s(literal 1 binary64) (/.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))
✓	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	43.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	35.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
✓	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	82.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	56.3%	(-.f64 x (*.f64 z y))
	55.4%	(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) z)))
	14.5%	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z)))))
	10.8%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
	8.2%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) z) (/.f64 (*.f64 y y) y)))
	13.0%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (*.f64 y (/.f64 z y))))
	9.3%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 z #s(literal 1 binary64)) z) (/.f64 y z)))
	18.5%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 z (/.f64 #s(literal 1 binary64) z))) (/.f64 (.f64 z y) y)))
	13.2%	(-.f64 #s(literal 0 binary64) (.f64 z (.f64 (/.f64 y z) (*.f64 z #s(literal 1 binary64)))))
	18.0%	(-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
	31.9%	(+.f64 x (/.f64 y (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y) x) y)))
	21.8%	(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 (.f64 (.f64 z #s(literal 4 binary64)) (/.f64 x #s(literal -2 binary64))) (.f64 (.f64 x (.f64 x y)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x y)) (/.f64 x #s(literal -2 binary64)))) y)))
	40.0%	(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y)) x) y)))
	40.1%	(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y (*.f64 y x)))) (-.f64 #s(literal 0 binary64) x))))
	40.0%	(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (/.f64 z (.f64 x y)) (/.f64 #s(literal 4 binary64) x))) y)))
	27.9%	(+.f64 x (/.f64 y (/.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) y)) (.f64 #s(literal 4 binary64) (/.f64 z (.f64 y y)))) (.f64 x x))))
	56.5%	(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
	56.2%	(+.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) z)))
	40.2%	(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 y x))))
	40.0%	(+.f64 x (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (.f64 z #s(literal 4 binary64)) x) (*.f64 x y))))))
	40.2%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
	25.2%	(+.f64 x (.f64 (.f64 y y) (.f64 y (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) z))))
	77.4%	(.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) (.f64 x z))
	11.0%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
	36.9%	(*.f64 z (/.f64 x z))
	77.8%	(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
✓	91.0%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	62.5%	(.f64 z (.f64 x (/.f64 (-.f64 (.f64 (cos.f64 y) (/.f64 x (sin.f64 y))) (.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 x (sin.f64 y))))))
	43.9%	(.f64 z (.f64 x (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x))))
	49.0%	(.f64 z (.f64 x (/.f64 (cos.f64 y) z)))
	36.8%	(.f64 z (.f64 x (/.f64 #s(literal 1 binary64) z)))
	90.8%	(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))))))
	77.6%	(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))))
	51.2%	(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
	66.7%	(.f64 z (.f64 x (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 x z)))))
	18.2%	(.f64 y (-.f64 (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z))
	18.1%	(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
	2.9%	(.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))))
	86.4%	(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
	73.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
	34.6%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y x)))) z)))
	39.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))))
	19.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))))))
	40.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y #s(literal -1/720 binary64)) y)))))))
	40.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
	40.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
	2.9%	(.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	57.9%	(*.f64 x (cos.f64 y))
	44.0%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	18.5%	(neg.f64 (*.f64 z y))
✓	41.7%	x

Compiler

Compiled 2461 to 1107 computations (55% saved)

regimes193.0ms (1.7%)

Counts

92 → 1

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (.f64 x (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z))) z)
(/.f64 (/.f64 (*.f64 y z) z) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 (/.f64 y z) (*.f64 z #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 z #s(literal 1 binary64)) z) (/.f64 y z)))
(/.f64 (neg.f64 (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(/.f64 (neg.f64 (.f64 (.f64 y z) (/.f64 (*.f64 y z) z))) y)
(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (*.f64 y (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) z) (/.f64 (*.f64 y y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y x)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 y (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) z))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y) x) y)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 z (/.f64 #s(literal 1 binary64) z))) (/.f64 (.f64 z y) y)))
(.f64 y (-.f64 (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 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 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y)) x) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (/.f64 z (.f64 x y)) (/.f64 #s(literal 4 binary64) x))) y)))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y #s(literal -1/720 binary64)) y)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 x (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (.f64 z #s(literal 4 binary64)) x) (*.f64 x y))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) y)) (.f64 #s(literal 4 binary64) (/.f64 z (.f64 y y)))) (.f64 x x))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y (*.f64 y x)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z (.f64 y (.f64 z y))) (-.f64 #s(literal 0 binary64) (.f64 z y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))))))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (.f64 x x))))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 (.f64 (.f64 z #s(literal 4 binary64)) (/.f64 x #s(literal -2 binary64))) (.f64 (.f64 x (.f64 x y)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x y)) (/.f64 x #s(literal -2 binary64)))) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 z (.f64 y (.f64 z y)))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 z (.f64 x (/.f64 (cos.f64 y) z)))
(.f64 z (.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
(.f64 z (.f64 x (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x))))
(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
(.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) (.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(.f64 z (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))))))
(.f64 z (.f64 x (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (.f64 x z)))))
(.f64 z (.f64 x (/.f64 (-.f64 (.f64 (cos.f64 y) (/.f64 x (sin.f64 y))) (.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 x (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.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))
(/.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 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) z) (+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))
(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 x (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (.f64 (sin.f64 y) (+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))))

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

Calls

4 calls:

55.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
36.0ms	z
27.0ms	y
26.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes97.0ms (0.9%)

Counts

75 → 3

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (.f64 x (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z))) z)
(/.f64 (/.f64 (*.f64 y z) z) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 (/.f64 y z) (*.f64 z #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 z #s(literal 1 binary64)) z) (/.f64 y z)))
(/.f64 (neg.f64 (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(/.f64 (neg.f64 (.f64 (.f64 y z) (/.f64 (*.f64 y z) z))) y)
(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (*.f64 y (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) z) (/.f64 (*.f64 y y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y x)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 y (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) z))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y) x) y)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 z (/.f64 #s(literal 1 binary64) z))) (/.f64 (.f64 z y) y)))
(.f64 y (-.f64 (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 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 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y)) x) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (/.f64 z (.f64 x y)) (/.f64 #s(literal 4 binary64) x))) y)))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y #s(literal -1/720 binary64)) y)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 x (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (.f64 z #s(literal 4 binary64)) x) (*.f64 x y))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) y)) (.f64 #s(literal 4 binary64) (/.f64 z (.f64 y y)))) (.f64 x x))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y (*.f64 y x)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z (.f64 y (.f64 z y))) (-.f64 #s(literal 0 binary64) (.f64 z y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))))))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (.f64 x x))))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 (.f64 (.f64 z #s(literal 4 binary64)) (/.f64 x #s(literal -2 binary64))) (.f64 (.f64 x (.f64 x y)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x y)) (/.f64 x #s(literal -2 binary64)))) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 z (.f64 y (.f64 z y)))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 z (.f64 x (/.f64 (cos.f64 y) z)))
(.f64 z (.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
(.f64 z (.f64 x (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x))))
(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))))

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

Calls

3 calls:

40.0ms	z
26.0ms	x
23.0ms	y

Results

Accuracy	Segments	Branch
90.6%	3	`x`
82.6%	1	`y`
89.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes65.0ms (0.6%)

Counts

65 → 3

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (.f64 x (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z))) z)
(/.f64 (/.f64 (*.f64 y z) z) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 (/.f64 y z) (*.f64 z #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 z #s(literal 1 binary64)) z) (/.f64 y z)))
(/.f64 (neg.f64 (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(/.f64 (neg.f64 (.f64 (.f64 y z) (/.f64 (*.f64 y z) z))) y)
(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (*.f64 y (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) z) (/.f64 (*.f64 y y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y x)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 y (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) z))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y) x) y)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 z (/.f64 #s(literal 1 binary64) z))) (/.f64 (.f64 z y) y)))
(.f64 y (-.f64 (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 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 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y)) x) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (/.f64 z (.f64 x y)) (/.f64 #s(literal 4 binary64) x))) y)))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y #s(literal -1/720 binary64)) y)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 x (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (.f64 z #s(literal 4 binary64)) x) (*.f64 x y))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) y)) (.f64 #s(literal 4 binary64) (/.f64 z (.f64 y y)))) (.f64 x x))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y (*.f64 y x)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z (.f64 y (.f64 z y))) (-.f64 #s(literal 0 binary64) (.f64 z y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))))))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (.f64 x x))))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 (.f64 (.f64 z #s(literal 4 binary64)) (/.f64 x #s(literal -2 binary64))) (.f64 (.f64 x (.f64 x y)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x y)) (/.f64 x #s(literal -2 binary64)))) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 z (.f64 y (.f64 z y)))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))

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

Calls

3 calls:

20.0ms	y
19.0ms	x
18.0ms	z

Results

Accuracy	Segments	Branch
81.3%	3	`y`
77.7%	4	`z`
76.2%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes117.0ms (1.1%)

Counts

62 → 3

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (.f64 x (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z))) z)
(/.f64 (/.f64 (*.f64 y z) z) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 (/.f64 y z) (*.f64 z #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 z #s(literal 1 binary64)) z) (/.f64 y z)))
(/.f64 (neg.f64 (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(/.f64 (neg.f64 (.f64 (.f64 y z) (/.f64 (*.f64 y z) z))) y)
(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (*.f64 y (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) z) (/.f64 (*.f64 y y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y x)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 y (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) z))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y) x) y)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 z (/.f64 #s(literal 1 binary64) z))) (/.f64 (.f64 z y) y)))
(.f64 y (-.f64 (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 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 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y)) x) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (/.f64 z (.f64 x y)) (/.f64 #s(literal 4 binary64) x))) y)))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y #s(literal -1/720 binary64)) y)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 x (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (.f64 z #s(literal 4 binary64)) x) (*.f64 x y))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) y)) (.f64 #s(literal 4 binary64) (/.f64 z (.f64 y y)))) (.f64 x x))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y (*.f64 y x)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z (.f64 y (.f64 z y))) (-.f64 #s(literal 0 binary64) (.f64 z y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))))))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (.f64 x x))))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 (.f64 (.f64 z #s(literal 4 binary64)) (/.f64 x #s(literal -2 binary64))) (.f64 (.f64 x (.f64 x y)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x y)) (/.f64 x #s(literal -2 binary64)))) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 z (.f64 y (.f64 z y)))))
(*.f64 x (cos.f64 y))

Outputs

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

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

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

Calls

3 calls:

28.0ms	y
23.0ms	x
17.0ms	z

Results

Accuracy	Segments	Branch
68.7%	3	`z`
68.7%	3	`x`
73.3%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes132.0ms (1.2%)

Counts

61 → 1

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 y (.f64 x (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (.f64 x (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(+.f64 x (/.f64 y (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z))) z)
(/.f64 (/.f64 (*.f64 y z) z) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 (/.f64 y z) (*.f64 z #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 z #s(literal 1 binary64)) z) (/.f64 y z)))
(/.f64 (neg.f64 (.f64 y (.f64 z (.f64 y z)))) (.f64 y z))
(/.f64 (neg.f64 (.f64 (.f64 y z) (/.f64 (*.f64 y z) z))) y)
(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (*.f64 y (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z y) z) (/.f64 (*.f64 z y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) z) (/.f64 (*.f64 y y) y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z y) y) z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y x)))) z)))
(+.f64 x (.f64 (.f64 y y) (.f64 y (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) z))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y) x) y)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 z (/.f64 #s(literal 1 binary64) z))) (/.f64 (.f64 z y) y)))
(.f64 y (-.f64 (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 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 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 y (.f64 y #s(literal 1/24 binary64)))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) y)) x) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (/.f64 z (.f64 x y)) (/.f64 #s(literal 4 binary64) x))) y)))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (.f64 z #s(literal 4 binary64)) (.f64 x (*.f64 x y)))) y)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y #s(literal -1/720 binary64)) y)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 x (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (.f64 z #s(literal 4 binary64)) x) (*.f64 x y))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) y)) (.f64 #s(literal 4 binary64) (/.f64 z (.f64 y y)))) (.f64 x x))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y (*.f64 y x)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z (.f64 y (.f64 z y))) (-.f64 #s(literal 0 binary64) (.f64 z y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))))))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))))
(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (.f64 x x))))))
(+.f64 x (/.f64 y (/.f64 (/.f64 (+.f64 (.f64 (.f64 z #s(literal 4 binary64)) (/.f64 x #s(literal -2 binary64))) (.f64 (.f64 x (.f64 x y)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x y)) (/.f64 x #s(literal -2 binary64)))) y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1/373248000 binary64))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))))) (.f64 (.f64 z (.f64 y (.f64 z y))) (.f64 z (.f64 y (.f64 z y)))))

Outputs
(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))

Calls

3 calls:

54.0ms	z
54.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
56.5%	1	`x`
56.5%	1	`z`
56.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes137.0ms (1.2%)

Counts

56 → 1

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	x
58.0ms	z
17.0ms	y

Results

Accuracy	Segments	Branch
56.3%	1	`y`
56.3%	1	`x`
56.3%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
41.7%	1	`y`
45.2%	3	`x`
47.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
41.7%	1	`y`
41.7%	1	`x`
41.7%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.0329398173623876e+90	8.753213535743448e+93
19.0ms	-1.8296408952636925e+96	-5.643652017834433e+92

Results

33.0ms

256×

valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

Precisions

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

ival-cos: 11.0ms (46.7% of total)

ival-sin: 7.0ms (29.7% of total)

ival-mult: 4.0ms (17% of total)

ival-sub: 1.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.7164766302332e-9	3.2679994786490982
20.0ms	-6220101.024767593	-0.003538738071303798

Results

26.0ms

288×

valid

Compiler

Compiled 450 to 319 computations (29.1% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.2679994786490982	29745867141.205936
13.0ms	-3.946187993219326e-8	-1.3782735441280267e-9

Results

29.0ms

272×

valid

Compiler

Compiled 647 to 421 computations (34.9% saved)

Precisions

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

ival-cos: 7.0ms (37.3% of total)

ival-sin: 6.0ms (32% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch52.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	6.10947781364966e+94	2.7227363204479402e+98
20.0ms	-1.4694658339764054e+100	-4.152040627809185e+93

Results

28.0ms

272×

valid

Compiler

Compiled 239 to 183 computations (23.4% saved)

Precisions

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

ival-cos: 6.0ms (32.6% of total)

ival-sin: 6.0ms (32.6% of total)

ival-mult: 4.0ms (21.7% of total)

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

const: 0.0ms (0% of total)

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

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

68×	`*-commutative_binary64`
60×	`+-commutative_binary64`
46×	`sub-neg_binary64`
36×	`neg-sub0_binary64`
36×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	138
1	132	138
2	163	138
3	180	138
4	192	138
5	207	138
6	226	138
7	242	138
8	254	138
9	269	138
10	276	138
11	280	138
12	281	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -51999999999999998087104230136814640562539792584736161495452789082417768849790393484076168249344 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 21999999999999999941119752615105383656140334322923471143306657541039634538319124371469238272 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -208967022709991/36028797018963968 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/4611686018427387904 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))) (neg.f64 (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -5893513370621317/151115727451828646838272 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) (-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))) (.f64 x (cos.f64 y))))
(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -11000000000000000369198691429932005607143080102691700193000144218736574774568660140785245504963346432 binary64)) (neg.f64 (.f64 z y)) (if (<=.f64 z #s(literal 480000000000000009705061981034854554516526235142891715746132890979841922399118868492174957215744 binary64)) x (neg.f64 (.f64 z y))))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -51999999999999998087104230136814640562539792584736161495452789082417768849790393484076168249344 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 21999999999999999941119752615105383656140334322923471143306657541039634538319124371469238272 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -208967022709991/36028797018963968 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/4611686018427387904 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))) (neg.f64 (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -208967022709991/36028797018963968 binary64)) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 y #s(literal 5072854620270127/4611686018427387904 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z))) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))))
(if (<=.f64 y #s(literal -5893513370621317/151115727451828646838272 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) (-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))) (.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -5893513370621317/151115727451828646838272 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 x (.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))) (.f64 x (cos.f64 y))))
(+.f64 x (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (/.f64 (.f64 y y) z)))) (.f64 y (.f64 x #s(literal 1/2 binary64)))) z)) z)))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -11000000000000000369198691429932005607143080102691700193000144218736574774568660140785245504963346432 binary64)) (neg.f64 (.f64 z y)) (if (<=.f64 z #s(literal 480000000000000009705061981034854554516526235142891715746132890979841922399118868492174957215744 binary64)) x (neg.f64 (.f64 z y))))
(if (<=.f64 z #s(literal -11000000000000000369198691429932005607143080102691700193000144218736574774568660140785245504963346432 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 480000000000000009705061981034854554516526235142891715746132890979841922399118868492174957215744 binary64)) x (-.f64 #s(literal 0 binary64) (.f64 y z))))
x

soundness2.5s (22.7%)

Rules

4660×	`-lowering-.f32`
4660×	`-lowering-.f64`
4642×	`-lowering-.f32`
4642×	`-lowering-.f64`
3654×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	36	20
2	257	20
3	3520	20
0	8466	20
0	33	151
1	221	139
2	1903	138
0	8848	138
0	112	665
1	364	613
2	1155	605
3	3557	600
4	6429	600
0	8161	600
0	467	4522
1	1604	4073
2	5152	3991
0	8251	3991
0	388	3297
1	1387	2928
2	4991	2877
0	8230	2877
0	18	75
1	110	74
2	843	73
0	8444	73
0	30	170
1	193	149
2	2228	148
0	8321	148

Stop Event

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

Compiler

Compiled 327 to 188 computations (42.5% saved)

preprocess54.0ms (0.5%)

Compiler: Compiled 340 to 162 computations (52.4% saved)

Iter	Nodes	Cost
0	72	138
1	132	138
2	163	138
3	180	138
4	192	138
5	207	138
6	226	138
7	242	138
8	254	138
9	269	138
10	276	138
11	280	138
12	281	138

Iter	Nodes	Cost
0	72	138
1	132	138
2	163	138
3	180	138
4	192	138
5	207	138
6	226	138
7	242	138
8	254	138
9	269	138
10	276	138
11	280	138
12	281	138

analyze0.0ms (0%)

sample1.3s (11.7%)

preprocess104.0ms (0.9%)

explain115.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (0.6%)

localize58.0ms (0.5%)

series9.0ms (0.1%)

rewrite321.0ms (2.9%)

simplify321.0ms (2.9%)

eval45.0ms (0.4%)

prune34.0ms (0.3%)

simplify173.0ms (1.6%)

localize135.0ms (1.2%)

series22.0ms (0.2%)

rewrite374.0ms (3.4%)

simplify379.0ms (3.4%)

eval140.0ms (1.3%)

prune112.0ms (1%)

simplify272.0ms (2.5%)

localize221.0ms (2%)

series35.0ms (0.3%)

rewrite412.0ms (3.7%)

simplify340.0ms (3.1%)

eval164.0ms (1.5%)

prune199.0ms (1.8%)

simplify182.0ms (1.6%)

localize200.0ms (1.8%)

series37.0ms (0.3%)

rewrite545.0ms (4.9%)

simplify386.0ms (3.5%)

eval447.0ms (4%)

prune408.0ms (3.7%)

regimes193.0ms (1.7%)

regimes97.0ms (0.9%)

regimes65.0ms (0.6%)

regimes117.0ms (1.1%)

regimes132.0ms (1.2%)

regimes137.0ms (1.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch45.0ms (0.4%)

bsearch39.0ms (0.4%)

bsearch45.0ms (0.4%)

bsearch52.0ms (0.5%)

simplify23.0ms (0.2%)

soundness2.5s (22.7%)

preprocess54.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	72	138
1	132	138
2	163	138
3	180	138
4	192	138
5	207	138
6	226	138
7	242	138
8	254	138
9	269	138
10	276	138
11	280	138
12	281	138