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

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-add: 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 (11.9%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 610.0ms

ival-sin: 212.0ms (34.8% of total)

ival-cos: 183.0ms (30% of total)

ival-mult: 138.0ms (22.6% of total)

ival-add: 66.0ms (10.8% of total)

const: 7.0ms (1.1% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess96.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1280×	`fnmadd-define`
1000×	`fnmsub-define`
1000×	`fmsub-define`
872×	`fma-define`
778×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	86
1	89	80
2	182	80
3	490	80
4	1385	80
5	1967	80
6	2902	80
7	3467	80
8	3829	80
9	4294	80
10	4534	80
11	4569	80
12	4593	80
13	4601	80
0	8	8
1	12	8
2	15	8
0	15	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain278.0ms (2.6%)

FPErrors

Click to see full error table

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

Results

200.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sin: 15.0ms (41% of total)

ival-cos: 11.0ms (30.1% of total)

ival-mult: 8.0ms (21.9% of total)

ival-add: 3.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`fma-lowering-fma.f32`
8×	`fma-define`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	12	23
2	15	23
0	15	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

40.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 6.0ms (36.3% of total)

ival-cos: 5.0ms (30.3% of total)

ival-mult: 4.0ms (24.2% of total)

ival-add: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite272.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2716×	`-lowering-.f32`
2716×	`-lowering-.f64`
1858×	`sum5-define`
1440×	`fmsub-define`
1440×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	25	20
2	211	20
3	2701	20
0	8147	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 97

Calls

Call 1

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

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

simplify243.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
2330×	`fma-lowering-fma.f32`
2330×	`fma-lowering-fma.f64`
2062×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	645
1	362	598
2	1195	591
3	3577	586
4	6580	586
0	8166	586

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval45.0ms (0.4%)

Compiler: Compiled 4827 to 361 computations (92.5% saved)

prune44.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	189	16	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	17	206

Accuracy

100.0%

Counts

206 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	53.5%	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (.f64 z (cos.f64 y)))))))
▶	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	54.9%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶	45.5%	(/.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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	16.0%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 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 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	75.1%	(+.f64 (*.f64 x (sin.f64 y)) z)
	55.7%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
	55.4%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	56.2%	(+.f64 z (*.f64 y x))
	45.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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)))))))
	99.6%	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	68.4%	(*.f64 z (cos.f64 y))
▶	33.0%	(*.f64 x (sin.f64 y))
▶	44.8%	z

Compiler

Compiled 830 to 442 computations (46.7% saved)

simplify165.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	64	(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 (sin.f64 y)) (.f64 z (cos.f64 y))))))
✓	cost-diff	19584	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	6272	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))

Rules

3532×	`-lowering-.f32`
3532×	`-lowering-.f64`
1526×	`times-frac`
1498×	`sum5-define`
1062×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	320
1	104	312
2	312	304
3	1086	304
4	4138	304
0	8287	304

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize389.0ms (3.6%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓	accuracy	93.9%	(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓	accuracy	73.0%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	64.3%	(/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓	accuracy	95.9%	(-.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
✓	accuracy	89.0%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	accuracy	73.0%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	56.2%	(/.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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))

Results

201.0ms	127×	1	valid
72.0ms	119×	0	valid
27.0ms	10×	2	valid

Compiler

Compiled 359 to 30 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 32.0ms (25.4% of total)

ival-cos: 32.0ms (25.4% of total)

backward-pass: 17.0ms (13.5% of total)

compiled-spec: 14.0ms (11.1% of total)

ival-div: 8.0ms (6.3% of total)

ival-sin: 8.0ms (6.3% of total)

ival-sub: 7.0ms (5.6% of total)

ival-add: 6.0ms (4.8% of total)

ival-neg: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

series54.0ms (0.5%)

Counts

15 → 384

Calls

Call 1

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

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<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 (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (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 (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (pow z 2)>
#<alt (+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
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#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))>
#<alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))>
#<alt (* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))>
#<alt (* -1 (/ z (cos y)))>
#<alt (+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)>
#<alt (/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)>
#<alt (/ (pow z 2) (* x (sin y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (* x y)))>
#<alt (+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))>

Calls

96 calls:

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

rewrite526.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4038×	`-lowering-.f32`
4038×	`-lowering-.f64`
2368×	`fma-lowering-fma.f32`
2368×	`fma-lowering-fma.f64`
2216×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	132
1	226	93
2	2112	93
0	8808	93

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1065

Calls

Call 1

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

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

simplify556.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

6312×	`-lowering-.f32`
6312×	`-lowering-.f64`
3300×	`+-lowering-+.f64`
3300×	`+-lowering-+.f32`
2192×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	982	9178
1	3900	8346
0	9062	8346

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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)
(* 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
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (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)
(* 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 y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 4)))))) (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
z
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))
(* -1 (* (pow z 2) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))
(* (pow z 2) (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (sin y) 3)))))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) (pow z 2))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))))))
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4)))) (pow z 3))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* z (pow (cos y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))))) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))
(/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))
(* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(/ (pow z 2) (* x (sin y)))
(* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))
(* -1 (/ z (cos y)))
(* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))
(* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))
(* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))
(* -1 (/ z (cos y)))
(* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))
(* -1 (/ z (cos y)))
(+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))
(+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))
(+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))
(/ (pow z 2) (* x (sin y)))
(/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)
(/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)
(/ (pow z 2) (* x (sin y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))
(* -1 z)
(+ (* -1 z) (* -1 (* x y)))
(+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))
(/ (pow z 2) (- (* x (sin y)) (* z (cos y))))

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

eval311.0ms (2.9%)

Compiler: Compiled 103359 to 2997 computations (97.1% saved)

prune213.0ms (2%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1737	17	1754
Fresh	8	3	11
Picked	3	2	5
Done	0	1	1
Total	1748	23	1771

Accuracy

100.0%

Counts

1771 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.9%	(fma.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) z) (/.f64 z (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 x (/.f64 x (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))))
	75.1%	(fma.f64 (sin.f64 y) x z)
	48.1%	(/.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 x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	68.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
▶	21.4%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
	44.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))))
	46.5%	(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
	40.8%	(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	75.1%	(+.f64 (*.f64 x (sin.f64 y)) z)
	55.4%	(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
	56.2%	(+.f64 z (*.f64 y x))
	92.8%	(.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z))
▶	93.2%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
▶	68.4%	(*.f64 z (cos.f64 y))
	15.3%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
	15.1%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
	86.5%	(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
▶	15.1%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
	15.1%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	33.0%	(*.f64 x (sin.f64 y))
▶	15.0%	(*.f64 x y)
✓	44.8%	z

Compiler

Compiled 957 to 530 computations (44.6% saved)

simplify279.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 x (/.f64 (sin.f64 y) z))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
✓	cost-diff	128	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))

Rules

3964×	`-lowering-.f32`
3964×	`-lowering-.f64`
2436×	`+-lowering-+.f64`
2436×	`+-lowering-+.f32`
2124×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	161
1	81	153
2	223	151
3	585	149
4	1207	149
5	1915	149
6	2470	149
7	4781	149
8	6310	149
9	7101	149
0	8002	149

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize355.0ms (3.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (*.f64 y #s(literal 2 binary64)))
✓	accuracy	93.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	accuracy	87.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
✓	accuracy	73.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	98.1%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) z)
✓	accuracy	95.6%	(*.f64 x (/.f64 (sin.f64 y) z))
✓	accuracy	93.3%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))

Results

108.0ms	119×	0	valid
101.0ms	78×	1	valid
91.0ms	59×	2	valid

Compiler

Compiled 181 to 31 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-cos: 34.0ms (26.1% of total)

ival-mult: 32.0ms (24.6% of total)

ival-sin: 21.0ms (16.1% of total)

backward-pass: 14.0ms (10.8% of total)

...c/correct-round.rkt:119:19: 12.0ms (9.2% of total)

ival-add: 9.0ms (6.9% of total)

ival-div: 7.0ms (5.4% of total)

const: 1.0ms (0.8% of total)

series35.0ms (0.3%)

Counts

17 → 348

Calls

Call 1

Inputs
#<alt (* z (+ (cos y) (* x (/ (sin y) z))))>
#<alt (+ (cos y) (* x (/ (sin y) z)))>
#<alt (cos y)>
#<alt (* x (/ (sin y) z))>
#<alt (* x y)>
#<alt (* x (* y (+ 1 (* (* y y) (+ (* (* y y) 1/120) -1/6)))))>
#<alt (* y (+ 1 (* (* y y) (+ (* (* y y) 1/120) -1/6))))>
#<alt (+ 1 (* (* y y) (+ (* (* y y) 1/120) -1/6)))>
#<alt (* (* y y) (+ (* (* y y) 1/120) -1/6))>
#<alt (* z (cos y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* y 2))))) (sin y))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* y 2)))))>
#<alt (+ 1/2 (* -1/2 (cos (* y 2))))>
#<alt (* -1/2 (cos (* y 2)))>
#<alt (/ (sin y) z)>
#<alt (* (* y y) 1/120)>
#<alt (cos (* y 2))>

Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<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 (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* 1/120 (* x (pow y 5)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* 1/120 (* x (pow y 5)))>
#<alt (* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))>
#<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) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* -1/2 (cos (* 2 y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt -1/2>
#<alt (- (pow y 2) 1/2)>
#<alt (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1/2)>
#<alt (- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1/2)>
#<alt (* -1/2 (cos (* 2 y)))>
#<alt (* -1/2 (cos (* 2 y)))>
#<alt (* -1/2 (cos (* 2 y)))>
#<alt (* -1/2 (cos (* 2 y)))>
#<alt (* -1/2 (cos (* 2 y)))>
#<alt (* -1/2 (cos (* 2 y)))>
#<alt (* -1/2 (cos (* 2 y)))>
#<alt (* -1/2 (cos (* 2 y)))>
#<alt (/ y z)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>

Calls

87 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(* z (+ (cos y) (* x (/ (sin y) z))))
4.0ms	y	@	inf	(* y (+ 1 (* (* y y) (+ (* (* y y) 1/120) -1/6))))
3.0ms	y	@	inf	(* z (+ (cos y) (* x (/ (sin y) z))))
1.0ms	x	@	0	(* x (* y (+ 1 (* (* y y) (+ (* (* y y) 1/120) -1/6)))))
1.0ms	x	@	0	(/ (* x (+ 1/2 (* -1/2 (cos (* y 2))))) (sin y))

rewrite456.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3682×	`-lowering-.f32`
3682×	`-lowering-.f64`
3498×	`/-lowering-/.f32`
3498×	`/-lowering-/.f64`
1644×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	128
1	148	120
2	1188	118
0	8252	118

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 471

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))))
(+.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (.f64 z (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))))))
(fma.f64 z (cos.f64 y) (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y))))
(fma.f64 z (.f64 (sin.f64 y) (/.f64 x z)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y))))
(fma.f64 x (.f64 (/.f64 (sin.f64 y) z) z) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (/.f64 x z)) z (.f64 z (cos.f64 y)))
(fma.f64 (.f64 z x) (/.f64 (sin.f64 y) z) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z (/.f64 z (sin.f64 y))) x (*.f64 z (cos.f64 y)))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)))) (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) (.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)))) (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 z z)))) z)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 (.f64 z (cos.f64 y)) (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y)))))
(/.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)))))
(/.f64 (.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))))) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64))) z) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)))) z) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 (.f64 z (cos.f64 y)) (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))))))
(/.f64 (neg.f64 (.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)))))) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64))) z)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)))) z)) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (.f64 z (cos.f64 y))))
(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
(.f64 (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) z)
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))))))))
(.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (cos.f64 y)) (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y))))))
(.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))))))
(.f64 (.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))))
(.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))))))
(.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)))) z) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))) (/.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)) (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)))) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 y) (/.f64 x z)) (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))))) (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 (.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))) (.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))))) (.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (sin.f64 y) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y))))
(pow.f64 (/.f64 z (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y)))))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/120 binary64)) y)
(+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (sin.f64 y) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos.f64 (+.f64 y y))
(-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(fma.f64 (cos.f64 y) (cos.f64 y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (cos.f64 #s(literal 0 binary64)))

simplify321.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4116×	`-lowering-.f32`
4116×	`-lowering-.f64`
3618×	`+-lowering-+.f64`
3618×	`+-lowering-+.f32`
1940×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	288	2981
1	975	2673
2	3262	2641
3	7481	2638
0	8023	2638

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
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)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* 1/120 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 5)))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
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) (- (* 1/120 (pow y 2)) 1/6))))
(* 1/120 (pow y 5))
(* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 5))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 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
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(* x y)
(* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* -1/2 (cos (* 2 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
-1/2
(- (pow y 2) 1/2)
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1/2)
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1/2)
(* -1/2 (cos (* 2 y)))
(* -1/2 (cos (* 2 y)))
(* -1/2 (cos (* 2 y)))
(* -1/2 (cos (* 2 y)))
(* -1/2 (cos (* 2 y)))
(* -1/2 (cos (* 2 y)))
(* -1/2 (cos (* 2 y)))
(* -1/2 (cos (* 2 y)))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 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) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))

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

eval108.0ms (1%)

Compiler: Compiled 21156 to 2004 computations (90.5% saved)

prune177.0ms (1.7%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	813	19	832
Fresh	6	9	15
Picked	2	3	5
Done	0	3	3
Total	821	34	855

Accuracy

100.0%

Counts

855 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.1%	(fma.f64 (sin.f64 y) x z)
	68.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	21.4%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
	90.8%	(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
	87.0%	(+.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (.f64 z (cos.f64 y)))
	46.5%	(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
	40.8%	(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	75.1%	(+.f64 (*.f64 x (sin.f64 y)) z)
	42.9%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
	55.4%	(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
▶	56.2%	(+.f64 z (*.f64 y x))
▶	90.9%	(.f64 (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) z)
	15.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
	43.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
	58.1%	(.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)))) z) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))))
	15.1%	(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
	53.9%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
▶	50.8%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
	42.8%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
	68.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
✓	68.4%	(*.f64 z (cos.f64 y))
	15.3%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
	15.3%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
	15.1%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
	15.1%	(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
▶	15.1%	(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
	14.5%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
	15.1%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
	3.2%	(.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))))
✓	33.0%	(*.f64 x (sin.f64 y))
✓	15.0%	(*.f64 x y)
✓	44.8%	z

Compiler

Compiled 1238 to 776 computations (37.3% saved)

simplify216.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	cost-diff	0	(+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (*.f64 x #s(literal -1/36 binary64))))))))
✓	cost-diff	0	(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
✓	cost-diff	128	(+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (*.f64 x #s(literal -1/36 binary64)))))
✓	cost-diff	256	(+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))
✓	cost-diff	0	(+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 x z))))
✓	cost-diff	128	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 z (*.f64 y x))
✓	cost-diff	0	(*.f64 (sin.f64 y) (/.f64 x z))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
✓	cost-diff	128	(.f64 (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) z)

Rules

3008×	`-lowering-.f32`
3008×	`-lowering-.f64`
2900×	`+-lowering-+.f64`
2900×	`+-lowering-+.f32`
1770×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	195
1	100	188
2	296	183
3	926	178
4	2438	174
5	3298	174
6	4903	174
7	7784	174
0	8251	174

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (cos y) (* (sin y) (/ x z))) z)
(+ (cos y) (* (sin y) (/ x z)))
(cos y)
y
(* (sin y) (/ x z))
(sin y)
(/ x z)
x
z
(+ z (* y x))
z
(* y x)
y
x
(* z (+ 1 (* y (+ (* y -1/2) (/ x z)))))
z
(+ 1 (* y (+ (* y -1/2) (/ x z))))
1
(* y (+ (* y -1/2) (/ x z)))
y
(+ (* y -1/2) (/ x z))
(* y -1/2)
-1/2
(/ x z)
x
(* y (+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))))))
y
(+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36)))))))
x
(* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))))
(* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36)))))
(+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))
(* x -1/6)
-1/6
(* (* y y) (+ (* x 13/360) (* x -1/36)))
(* y y)
(+ (* x 13/360) (* x -1/36))
(* x 13/360)
13/360
(* x -1/36)
-1/36
(+ (* x (sin y)) z)
(* x (sin y))
x
(sin y)
y
z

Outputs
(* (+ (cos y) (* (sin y) (/ x z))) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+ (cos y) (* (sin y) (/ x z)))
(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
(cos y)
(cos.f64 y)
y
(* (sin y) (/ x z))
(*.f64 x (/.f64 (sin.f64 y) z))
(sin y)
(sin.f64 y)
(/ x z)
(/.f64 x z)
x
z
(+ z (* y x))
(+.f64 z (*.f64 y x))
z
(* y x)
(*.f64 y x)
y
x
(* z (+ 1 (* y (+ (* y -1/2) (/ x z)))))
(+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
z
(+ 1 (* y (+ (* y -1/2) (/ x z))))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(* y (+ (* y -1/2) (/ x z)))
(.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))
y
(+ (* y -1/2) (/ x z))
(+.f64 (/.f64 x z) (*.f64 y #s(literal -1/2 binary64)))
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ x z)
(/.f64 x z)
x
(* y (+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))))))
(.f64 (.f64 y x) (+.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
(+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
x
(* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))))
(.f64 (.f64 y (.f64 y x)) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36)))))
(.f64 (.f64 y x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))
(+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (* y y) (+ (* x 13/360) (* x -1/36)))
(.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y x)))
(* y y)
(*.f64 y y)
(+ (* x 13/360) (* x -1/36))
(*.f64 x #s(literal 1/120 binary64))
(* x 13/360)
(*.f64 x #s(literal 13/360 binary64))
13/360
#s(literal 13/360 binary64)
(* x -1/36)
(*.f64 x #s(literal -1/36 binary64))
-1/36
#s(literal -1/36 binary64)
(+ (* x (sin y)) z)
(+.f64 z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
x
(sin y)
(sin.f64 y)
y
z

localize252.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/36 binary64))
✓	accuracy	99.0%	(*.f64 x #s(literal 13/360 binary64))
✓	accuracy	98.3%	(+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))
✓	accuracy	87.1%	(.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64))))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 x z))))
✓	accuracy	97.6%	(.f64 y (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))
✓	accuracy	92.6%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 z (*.f64 y x))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
✓	accuracy	97.4%	(*.f64 (sin.f64 y) (/.f64 x z))
✓	accuracy	93.3%	(.f64 (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) z)

Results

198.0ms

256×

valid

Compiler

Compiled 247 to 35 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 25.0ms (26.5% of total)

ival-add: 24.0ms (25.4% of total)

ival-cos: 18.0ms (19.1% of total)

...c/correct-round.rkt:119:19: 17.0ms (18% of total)

ival-sin: 7.0ms (7.4% of total)

ival-div: 3.0ms (3.2% of total)

const: 1.0ms (1.1% of total)

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

series26.0ms (0.2%)

Counts

21 → 540

Calls

Call 1

Inputs
#<alt (* (+ (cos y) (* (sin y) (/ x z))) z)>
#<alt (+ (cos y) (* (sin y) (/ x z)))>
#<alt (cos y)>
#<alt (* (sin y) (/ x z))>
#<alt (+ z (* y x))>
#<alt (* y x)>
#<alt (* z (+ 1 (* y (+ (* y -1/2) (/ x z)))))>
#<alt (+ 1 (* y (+ (* y -1/2) (/ x z))))>
#<alt (* y (+ (* y -1/2) (/ x z)))>
#<alt (+ (* y -1/2) (/ x z))>
#<alt (+ (* x 13/360) (* x -1/36))>
#<alt (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))>
#<alt (* y (+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))))))>
#<alt (+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36)))))))>
#<alt (+ (* x (sin y)) z)>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (* y -1/2)>
#<alt (* (* y y) (+ (* x 13/360) (* x -1/36)))>
#<alt (* x 13/360)>
#<alt (* x -1/36)>

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<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 (/ (* x y) z)>
#<alt (* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (* x y) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* x y)>
#<alt (* x (+ y (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))>
#<alt (* x (+ y (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))>
#<alt (* x (+ y (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (/ x (* y z)) 1/2))>
#<alt (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (* y z))) 1/2))>
#<alt (* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (* y z))) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (/ x (* y z)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ x z)) (/ 1 y)) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ x z)) (/ 1 y)) y)) 1/2))>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (/ (* x y) z)>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)>
#<alt (/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)>
#<alt (/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1/2 y) (/ x z)))>
#<alt (* y (+ (* -1/2 y) (/ x z)))>
#<alt (* y (+ (* -1/2 y) (/ x z)))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (/ x (* y z)) 1/2))>
#<alt (* (pow y 2) (- (/ x (* y z)) 1/2))>
#<alt (* (pow y 2) (- (/ x (* y z)) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (/ x (* y z)) 1/2))>
#<alt (* (pow y 2) (- (/ x (* y z)) 1/2))>
#<alt (* (pow y 2) (- (/ x (* y z)) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (/ y z)))>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (/ y z)))>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (/ y z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* x (+ (* -1 (/ y z)) (* 1/2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y z)) (* 1/2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y z)) (* 1/2 (/ (pow y 2) x)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1/2 (* (pow y 2) z)) (* x y)) z)>
#<alt (/ (+ (* -1/2 (* (pow y 2) z)) (* x y)) z)>
#<alt (/ (+ (* -1/2 (* (pow y 2) z)) (* x y)) z)>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x y) z))>
#<alt (/ x z)>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (* -1/2 y)>
#<alt (* y (- (/ x (* y z)) 1/2))>
#<alt (* y (- (/ x (* y z)) 1/2))>
#<alt (* y (- (/ x (* y z)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (/ x z)>
#<alt (* x (+ (* -1/2 (/ y x)) (/ 1 z)))>
#<alt (* x (+ (* -1/2 (/ y x)) (/ 1 z)))>
#<alt (* x (+ (* -1/2 (/ y x)) (/ 1 z)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))>
#<alt (/ x z)>
#<alt (/ (+ x (* -1/2 (* y z))) z)>
#<alt (/ (+ x (* -1/2 (* y z))) z)>
#<alt (/ (+ x (* -1/2 (* y z))) z)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))))))>
#<alt (* (pow y 5) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))>
#<alt (* (pow y 5) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (+ (* -1/36 x) (* 13/360 x))) (* 1/6 (/ x (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (+ (* -1/36 x) (* 13/360 x))) (+ (* -1 (/ x (pow y 4))) (* 1/6 (/ x (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (+ (* -1/36 x) (* 13/360 x))) (+ (* -1 (/ x (pow y 4))) (* 1/6 (/ x (pow y 2)))))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))))>
#<alt (* (pow y 4) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))>
#<alt (* (pow y 4) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))>
#<alt z>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (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)>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* 13/360 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>

Calls

135 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(* z (+ 1 (* y (+ (* y -1/2) (/ x z)))))
1.0ms	x	@	inf	(+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))
1.0ms	z	@	0	(* z (+ 1 (* y (+ (* y -1/2) (/ x z)))))
1.0ms	x	@	-inf	(* y (+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))))))
1.0ms	x	@	0	(* y (+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))))))

rewrite389.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3872×	`-lowering-.f32`
3872×	`-lowering-.f64`
2726×	`/-lowering-/.f32`
2726×	`/-lowering-/.f64`
1962×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	140
1	204	133
2	2038	133
0	8635	133

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 440

Calls

Call 1

Inputs
(* (+ (cos y) (* (sin y) (/ x z))) z)
(+ (cos y) (* (sin y) (/ x z)))
(cos y)
(* (sin y) (/ x z))
(+ z (* y x))
(* y x)
(* z (+ 1 (* y (+ (* y -1/2) (/ x z)))))
(+ 1 (* y (+ (* y -1/2) (/ x z))))
(* y (+ (* y -1/2) (/ x z)))
(+ (* y -1/2) (/ x z))
(+ (* x 13/360) (* x -1/36))
(+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))
(* y (+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36))))))))
(+ x (* y (* y (+ (* x -1/6) (* (* y y) (+ (* x 13/360) (* x -1/36)))))))
(+ (* x (sin y)) z)
(* x (sin y))
(sin y)
(* y -1/2)
(* (* y y) (+ (* x 13/360) (* x -1/36)))
(* x 13/360)
(* x -1/36)

Outputs
(+.f64 (.f64 z (cos.f64 y)) (.f64 z (/.f64 (sin.f64 y) (/.f64 z x))))
(+.f64 (.f64 z (/.f64 (sin.f64 y) (/.f64 z x))) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (/.f64 (sin.f64 y) (/.f64 z x)) z))
(+.f64 (.f64 (/.f64 (sin.f64 y) (/.f64 z x)) z) (.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (/.f64 (sin.f64 y) (/.f64 z x)) z))
(fma.f64 z (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) (/.f64 z x))))
(fma.f64 z (/.f64 (sin.f64 y) (/.f64 z x)) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) (/.f64 z x)) z (*.f64 (cos.f64 y) z))
(/.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (-.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)))))
(/.f64 (.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 (/.f64 x z) x) z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 z x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) z) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (-.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 (/.f64 x z) x) z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) z) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 z x))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))))) (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 (sin.f64 y) (/.f64 z x)) (-.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y))))))
(/.f64 (neg.f64 (.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 (/.f64 x z) x) z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (neg.f64 (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) z)) (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 (sin.f64 y) (/.f64 z x)) (-.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y))))))
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(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) 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 (sin.f64 y) x) z)) (/.f64 (.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (sin.f64 y) x))) (/.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 z (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x z)
(fma.f64 x (sin.f64 y) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(fma.f64 #s(literal 1 binary64) z (*.f64 (sin.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 z (-.f64 z (.f64 (sin.f64 y) x)))) (+.f64 (.f64 z (.f64 z z)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.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 z z))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (pow.f64 (.f64 (sin.f64 y) x) #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 z (-.f64 z (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (.f64 z z) (-.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 (sin.f64 y) (.f64 x 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 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 #s(literal -1 binary64) (neg.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 z (-.f64 z (.f64 (sin.f64 y) x)))) (+.f64 (.f64 z (.f64 z z)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.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 z z)))))
(/.f64 (neg.f64 (+.f64 (.f64 z (.f64 z z)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.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 z (-.f64 z (*.f64 (sin.f64 y) x))))))
(/.f64 (neg.f64 (+.f64 (.f64 z (.f64 z z)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 z z) (-.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 (sin.f64 y) (.f64 x z))))))
(/.f64 (neg.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 z z))) (neg.f64 (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (.f64 z z) (.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 z (.f64 (sin.f64 y) x)))
(/.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 (sin.f64 y) x) z)) (.f64 (-.f64 (.f64 (sin.f64 y) x) z) (.f64 z z))) (.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 z (.f64 z z)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (neg.f64 (neg.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 z (-.f64 z (*.f64 (sin.f64 y) x)))))))
(/.f64 (neg.f64 (neg.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 z z)))) (neg.f64 (neg.f64 (-.f64 (.f64 (sin.f64 y) x) z))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 z (.f64 (sin.f64 y) x))))
(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 z (-.f64 z (.f64 (sin.f64 y) x)))) (+.f64 (.f64 z (.f64 z z)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.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 z z))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 z (.f64 z z)) (pow.f64 (.f64 (sin.f64 y) x) #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 z (-.f64 z (.f64 (sin.f64 y) x))))))
(.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 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) z)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))))
(+.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64))))) (-.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))))) (/.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64))))) (-.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))))))
(fma.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64))) (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))
(fma.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64))) (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64)))))
(fma.f64 x (.f64 #s(literal 13/360 binary64) (.f64 y y)) (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))
(fma.f64 x (.f64 #s(literal -1/36 binary64) (.f64 y y)) (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64)))))
(fma.f64 #s(literal 13/360 binary64) (.f64 x (.f64 y y)) (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))
(fma.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 y y) (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))
(fma.f64 #s(literal -1/36 binary64) (.f64 x (.f64 y y)) (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64)))))
(fma.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 y y) (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64)))))
(fma.f64 (.f64 y y) (.f64 x #s(literal 13/360 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/36 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64)))))
(fma.f64 (.f64 (.f64 x #s(literal 13/360 binary64)) y) y (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))
(fma.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) y) y (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64)))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 13/360 binary64) (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/36 binary64) (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64)))))
(fma.f64 (.f64 (.f64 y y) #s(literal 13/360 binary64)) x (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))
(fma.f64 (.f64 (.f64 y y) #s(literal -1/36 binary64)) x (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2197/46656000 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64))))) (-.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64))))) (.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64))))) (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))))) (-.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64))))))
(/.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2197/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (.f64 (.f64 x #s(literal -1/36 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64))))))
(/.f64 (.f64 (.f64 y y) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 23/360 binary64)))) (.f64 x #s(literal 23/360 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2197/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64))) (.f64 y y)) (+.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (.f64 (.f64 x #s(literal -1/36 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 23/360 binary64))) (.f64 y y)) (.f64 x #s(literal 23/360 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2197/46656000 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (neg.f64 (+.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64))))) (-.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64))))) (.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (*.f64 x #s(literal -1/36 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64))))) (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64))))))) (neg.f64 (-.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2197/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (.f64 (.f64 x #s(literal -1/36 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 23/360 binary64))))) (neg.f64 (.f64 x #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2197/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64))) (.f64 y y))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (.f64 (.f64 x #s(literal -1/36 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 23/360 binary64))) (.f64 y y))) (neg.f64 (.f64 x #s(literal 23/360 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2197/46656000 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64))))) (-.f64 (.f64 (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64)))) (.f64 y (.f64 y (.f64 x #s(literal 13/360 binary64))))) (.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/36 binary64)))) (.f64 y (.f64 y (*.f64 x #s(literal 13/360 binary64))))))))
(.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))
(.f64 x (.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(.f64 (.f64 x #s(literal 1/120 binary64)) (*.f64 y y))
(.f64 (.f64 y y) (*.f64 x #s(literal 1/120 binary64)))
(.f64 (.f64 y (*.f64 x #s(literal 1/120 binary64))) y)
(.f64 (.f64 (*.f64 y y) x) #s(literal 1/120 binary64))
(.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 23/360 binary64))) #s(literal 23/360 binary64)))
(.f64 (/.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 23/360 binary64))) x) (/.f64 (*.f64 y y) #s(literal 23/360 binary64)))
(*.f64 x #s(literal 13/360 binary64))
(*.f64 #s(literal 13/360 binary64) x)
(*.f64 x #s(literal -1/36 binary64))
(*.f64 #s(literal -1/36 binary64) x)

simplify301.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5366×	`-lowering-.f32`
5366×	`-lowering-.f64`
3556×	`+-lowering-+.f64`
3556×	`+-lowering-+.f32`
1316×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	4276
1	1109	3814
2	3899	3771
0	8236	3771

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
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)
(/ (* x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (* x y) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(* x y)
(* x (+ y (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))
(* x (+ y (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))
(* x (+ y (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (* y z))) 1/2))
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (* y z))) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x z)) (/ 1 y)) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x z)) (/ 1 y)) y)) 1/2))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(/ (* x y) z)
(* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))
(* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))
(* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))
(/ (* x y) z)
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))
(/ (* x y) z)
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(/ (* x y) z)
(* y (+ (* -1/2 y) (/ x z)))
(* y (+ (* -1/2 y) (/ x z)))
(* y (+ (* -1/2 y) (/ x z)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* -1/2 (pow y 2))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(/ (* x y) z)
(* x (+ (* -1/2 (/ (pow y 2) x)) (/ y z)))
(* x (+ (* -1/2 (/ (pow y 2) x)) (/ y z)))
(* x (+ (* -1/2 (/ (pow y 2) x)) (/ y z)))
(/ (* x y) z)
(* -1 (* x (+ (* -1 (/ y z)) (* 1/2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -1 (/ y z)) (* 1/2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -1 (/ y z)) (* 1/2 (/ (pow y 2) x)))))
(/ (* x y) z)
(/ (+ (* -1/2 (* (pow y 2) z)) (* x y)) z)
(/ (+ (* -1/2 (* (pow y 2) z)) (* x y)) z)
(/ (+ (* -1/2 (* (pow y 2) z)) (* x y)) z)
(* -1/2 (pow y 2))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(* -1/2 (pow y 2))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(+ (* -1/2 (pow y 2)) (/ (* x y) z))
(/ x z)
(+ (* -1/2 y) (/ x z))
(+ (* -1/2 y) (/ x z))
(+ (* -1/2 y) (/ x z))
(* -1/2 y)
(* y (- (/ x (* y z)) 1/2))
(* y (- (/ x (* y z)) 1/2))
(* y (- (/ x (* y z)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))
(* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))
(* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))
(* -1/2 y)
(+ (* -1/2 y) (/ x z))
(+ (* -1/2 y) (/ x z))
(+ (* -1/2 y) (/ x z))
(/ x z)
(* x (+ (* -1/2 (/ y x)) (/ 1 z)))
(* x (+ (* -1/2 (/ y x)) (/ 1 z)))
(* x (+ (* -1/2 (/ y x)) (/ 1 z)))
(/ x z)
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))
(/ x z)
(/ (+ x (* -1/2 (* y z))) z)
(/ (+ x (* -1/2 (* y z))) z)
(/ (+ x (* -1/2 (* y z))) z)
(* -1/2 y)
(+ (* -1/2 y) (/ x z))
(+ (* -1/2 y) (/ x z))
(+ (* -1/2 y) (/ x z))
(* -1/2 y)
(+ (* -1/2 y) (/ x z))
(+ (* -1/2 y) (/ x z))
(+ (* -1/2 y) (/ x z))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1/6 x)
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))))))
(* (pow y 5) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))
(* (pow y 5) (+ (* -1/36 x) (* 13/360 x)))
(* -1 (* (pow y 5) (+ (* -1 (+ (* -1/36 x) (* 13/360 x))) (* 1/6 (/ x (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (+ (* -1/36 x) (* 13/360 x))) (+ (* -1 (/ x (pow y 4))) (* 1/6 (/ x (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (+ (* -1/36 x) (* 13/360 x))) (+ (* -1 (/ x (pow y 4))) (* 1/6 (/ x (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 13/360 x))))))
(* (pow y 4) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))
(* (pow y 4) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (* 13/360 x))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 x) (+ (* 13/360 x) (/ x (pow y 4))))))
z
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(* x (sin y))
(* x (+ (sin y) (/ z x)))
(* x (+ (sin y) (/ z x)))
(* x (+ (sin y) (/ z x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/6 (* x (pow y 2))))))
(+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(* x (sin y))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
z
(* z (+ 1 (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x (sin y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 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 y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (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)
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* (pow y 2) (+ (* -1/36 x) (* 13/360 x)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 1/120 (* x (pow y 2)))
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* 13/360 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)

Outputs
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 x y) #s(literal -1/6 binary64)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
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(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* 13/360 x)
(*.f64 x #s(literal 13/360 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))

eval198.0ms (1.9%)

Compiler: Compiled 22175 to 2193 computations (90.1% saved)

prune148.0ms (1.4%)

Pruning

45 alts after pruning (36 fresh and 9 done)

	Pruned	Kept	Total
New	973	20	993
Fresh	7	16	23
Picked	2	3	5
Done	0	6	6
Total	982	45	1027

Accuracy

100.0%

Counts

1027 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
	23.3%	(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
	68.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	21.4%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
	90.8%	(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
	31.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y (.f64 x (*.f64 y x))))))
	87.0%	(+.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (.f64 z (cos.f64 y)))
	46.5%	(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
	55.4%	(+.f64 (.f64 (.f64 x 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))))))) z)
	40.8%	(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
	55.6%	(+.f64 (.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	75.1%	(+.f64 (*.f64 x (sin.f64 y)) z)
	42.9%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
	55.4%	(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
✓	56.2%	(+.f64 z (*.f64 y x))
	91.6%	(*.f64 (+.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)) z)
	23.2%	(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
	15.1%	(.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))))) y)
	66.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 x z))) z)
	15.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
	43.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
	58.1%	(.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)))) z) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))))
	15.1%	(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
	12.8%	(.f64 z (/.f64 (.f64 x y) z))
	37.5%	(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))))))))
	20.1%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))))))
	51.6%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
	20.1%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))))
	37.1%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))))
	42.8%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
	6.3%	(.f64 z (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))
	3.1%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	68.4%	(*.f64 z (cos.f64 y))
	44.7%	(*.f64 y (+.f64 x (/.f64 z y)))
	15.3%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
	15.3%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
	6.9%	(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/1296 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))))))
✓	15.1%	(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
	3.2%	(.f64 y (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
	15.1%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
✓	33.0%	(*.f64 x (sin.f64 y))
✓	15.0%	(*.f64 x y)
✓	44.8%	z

Compiler

Compiled 2577 to 986 computations (61.7% saved)

regimes94.0ms (0.9%)

Counts

73 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (/.f64 (.f64 x y) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 y (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(.f64 z (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
(.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))))) y)
(+.f64 (.f64 (.f64 x 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))))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y (.f64 x (*.f64 y x))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/1296 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))))
(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 x z))) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
(.f64 (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) z)
(*.f64 (+.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)) z)
(+.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.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 (.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 (cos.f64 y)) (.f64 x (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
(.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)))) z) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z)))))
(/.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 x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
(.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) z) (/.f64 z (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 x (/.f64 x (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (.f64 z (cos.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 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 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))

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

Calls

4 calls:

23.0ms	x
21.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
21.0ms	z
20.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes114.0ms (1.1%)

Counts

58 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (/.f64 (.f64 x y) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 y (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(.f64 z (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
(.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))))) y)
(+.f64 (.f64 (.f64 x 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))))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y (.f64 x (*.f64 y x))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/1296 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))))
(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 x z))) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
(.f64 (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) z)
(*.f64 (+.f64 (/.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)) z)
(+.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))

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

Calls

4 calls:

45.0ms	x
27.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
20.0ms	z
15.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes56.0ms (0.5%)

Counts

48 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (/.f64 (.f64 x y) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 y (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(.f64 z (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
(.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))))) y)
(+.f64 (.f64 (.f64 x 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))))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y (.f64 x (*.f64 y x))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/1296 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))))
(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 x z))) z)
(fma.f64 (sin.f64 y) x z)

Outputs
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)

Calls

3 calls:

20.0ms	z
15.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
88.8%	3	`x`
81.5%	3	`y`
86.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Counts

47 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (/.f64 (.f64 x y) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 y (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(.f64 z (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
(.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))))) y)
(+.f64 (.f64 (.f64 x 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))))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y (.f64 x (*.f64 y x))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/1296 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))))
(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 x z))) z)

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
88.7%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes48.0ms (0.5%)

Counts

44 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (/.f64 (.f64 x y) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 y (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(.f64 z (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
(.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))))) y)
(+.f64 (.f64 (.f64 x 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))))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y (.f64 x (*.f64 y x))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/1296 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))))
(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))

Outputs

(*.f64 z (cos.f64 y))

(+.f64 (*.f64 (*.f64 x 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))))))) z)

(*.f64 z (cos.f64 y))

Calls

3 calls:

15.0ms	x
14.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
81.3%	3	`y`
76.3%	3	`z`
80.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes65.0ms (0.6%)

Counts

43 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (/.f64 (.f64 x y) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 y (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(.f64 z (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
(.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))))) y)
(+.f64 (.f64 (.f64 x 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))))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y (.f64 x (*.f64 y x))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/1296 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))))
(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))))))))
(*.f64 x (sin.f64 y))

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

Calls

3 calls:

34.0ms	x
13.0ms	y
12.0ms	z

Results

Accuracy	Segments	Branch
60.1%	3	`z`
61.5%	3	`x`
73.4%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes49.0ms (0.5%)

Counts

42 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (/.f64 (.f64 x y) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 y (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(.f64 z (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 z y)))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) (.f64 y x))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))))))
(.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (*.f64 x #s(literal 1/120 binary64))))))) y)
(+.f64 (.f64 (.f64 x 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))))))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 y (.f64 x (*.f64 y x))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y))) (.f64 x #s(literal 1/120 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))) z)
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/1296 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 169/129600 binary64)) (-.f64 (.f64 x #s(literal -1/36 binary64)) (.f64 x #s(literal 13/360 binary64)))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 2/45 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64)))) (.f64 x #s(literal -1/630 binary64)))) (*.f64 x #s(literal 13/360 binary64))))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (/.f64 z x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))))
(.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))))))))

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

Calls

3 calls:

23.0ms	y
12.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
56.2%	1	`z`
56.2%	1	`x`
56.2%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

3 calls:

2.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
44.8%	1	`z`
49.5%	3	`x`
44.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
44.8%	1	`y`
44.8%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.27155832208357e-64	3.8676357050409396e-63
16.0ms	-2.7030249520450135e-11	-2.954870464531204e-12

Results

23.0ms

192×

valid

Compiler

Compiled 228 to 163 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 8.0ms (49.9% of total)

ival-cos: 4.0ms (25% of total)

ival-mult: 3.0ms (18.7% of total)

ival-add: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.27155832208357e-64	3.8676357050409396e-63
41.0ms	-2.7030249520450135e-11	-2.954870464531204e-12

Results

48.0ms

192×

valid

Compiler

Compiled 234 to 169 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-cos: 32.0ms (79.4% of total)

ival-sin: 4.0ms (9.9% of total)

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

ival-add: 1.0ms (2.5% of total)

const: 0.0ms (0% of total)

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

bsearch49.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	5.7164766302332e-9	3.2679994786490982
18.0ms	-6220101.024767593	-0.003538738071303798

Results

25.0ms

288×

valid

Compiler

Compiled 576 to 409 computations (29% saved)

Precisions

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

ival-mult: 4.0ms (28.9% of total)

ival-sin: 4.0ms (28.9% of total)

ival-cos: 3.0ms (21.7% of total)

ival-add: 1.0ms (7.2% 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
27.0ms	3.2679994786490982	29745867141.205936
15.0ms	-3.946187993219326e-8	-1.3782735441280267e-9

Results

33.0ms

272×

valid

Compiler

Compiled 409 to 285 computations (30.3% saved)

Precisions

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

ival-sin: 7.0ms (36.3% of total)

ival-cos: 6.0ms (31.2% of total)

ival-mult: 4.0ms (20.8% of total)

ival-add: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

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

bsearch174.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
153.0ms	8.01292874166125e+161	2.905584674034241e+180
19.0ms	-9.893571835864494e+220	-4.2983488607369886e+219

Results

31.0ms

272×

valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

Precisions

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

ival-cos: 8.0ms (38.6% of total)

ival-sin: 6.0ms (29% of total)

ival-mult: 4.0ms (19.3% of total)

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

const: 0.0ms (0% of total)

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

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	134
1	95	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x #s(literal -4456584141427369/1237940039285380274899124224 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 4168515212543383/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -4704172149284445/1237940039285380274899124224 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y #s(literal -3170534137668829/288230376151711744 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 5908722711110091/72057594037927936 binary64)) (+.f64 (.f64 (.f64 x 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))))))) z) (.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -5893513370621317/151115727451828646838272 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 x #s(literal -4299999999999999708775032860643371311551185501324982911095212119810843017993553752713919761922591315082992261773790100236924341068193927353092030421198978036318773793242658515524225257844416786218258720484630380540854272 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 11000000000000000110453438803585038909468014768599029672188984832409293221418230356492868638150991468997203736028147966857924325603271119085691719306101636444541297885184 binary64)) z (.f64 x y)))
z

Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(if (<=.f64 x #s(literal -4456584141427369/1237940039285380274899124224 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 4168515212543383/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -4456584141427369/1237940039285380274899124224 binary64)) (+.f64 z (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 4168515212543383/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -4704172149284445/1237940039285380274899124224 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x #s(literal 2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x #s(literal -4704172149284445/1237940039285380274899124224 binary64)) (+.f64 z (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (.f64 z (cos.f64 y)) (+.f64 z (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -3170534137668829/288230376151711744 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 5908722711110091/72057594037927936 binary64)) (+.f64 (.f64 (.f64 x 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))))))) z) (.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -3170534137668829/288230376151711744 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 5908722711110091/72057594037927936 binary64)) (+.f64 z (.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))) (.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -5893513370621317/151115727451828646838272 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -5893513370621317/151115727451828646838272 binary64)) (.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 y) x)))
(+.f64 z (*.f64 y x))
(if (<=.f64 x #s(literal -4299999999999999708775032860643371311551185501324982911095212119810843017993553752713919761922591315082992261773790100236924341068193927353092030421198978036318773793242658515524225257844416786218258720484630380540854272 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 11000000000000000110453438803585038909468014768599029672188984832409293221418230356492868638150991468997203736028147966857924325603271119085691719306101636444541297885184 binary64)) z (.f64 x y)))
(if (<=.f64 x #s(literal -4299999999999999708775032860643371311551185501324982911095212119810843017993553752713919761922591315082992261773790100236924341068193927353092030421198978036318773793242658515524225257844416786218258720484630380540854272 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 11000000000000000110453438803585038909468014768599029672188984832409293221418230356492868638150991468997203736028147966857924325603271119085691719306101636444541297885184 binary64)) z (.f64 y x)))
z

soundness2.0s (18.8%)

Rules

6312×	`-lowering-.f32`
6312×	`-lowering-.f64`
5366×	`-lowering-.f32`
5366×	`-lowering-.f64`
3556×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	4276
1	1109	3814
2	3899	3771
0	8236	3771
0	982	9178
1	3900	8346
0	9062	8346
0	8	20
1	25	20
2	211	20
3	2701	20
0	8147	20
0	109	645
1	362	598
2	1195	591
3	3577	586
4	6580	586
0	8166	586

Stop Event

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

Compiler

Compiled 281 to 149 computations (47% saved)

preprocess58.0ms (0.5%)

Compiler: Compiled 324 to 136 computations (58% saved)

analyze0.0ms (0%)

sample1.3s (11.9%)

preprocess96.0ms (0.9%)

explain278.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize50.0ms (0.5%)

series7.0ms (0.1%)

rewrite272.0ms (2.5%)

simplify243.0ms (2.3%)

eval45.0ms (0.4%)

prune44.0ms (0.4%)

simplify165.0ms (1.5%)

localize389.0ms (3.6%)

series54.0ms (0.5%)

rewrite526.0ms (4.9%)

simplify556.0ms (5.2%)

eval311.0ms (2.9%)

prune213.0ms (2%)

simplify279.0ms (2.6%)

localize355.0ms (3.3%)

series35.0ms (0.3%)

rewrite456.0ms (4.3%)

simplify321.0ms (3%)

eval108.0ms (1%)

prune177.0ms (1.7%)

simplify216.0ms (2%)

localize252.0ms (2.4%)

series26.0ms (0.2%)

rewrite389.0ms (3.6%)

simplify301.0ms (2.8%)

eval198.0ms (1.9%)

prune148.0ms (1.4%)

regimes94.0ms (0.9%)

regimes114.0ms (1.1%)

regimes56.0ms (0.5%)

regimes21.0ms (0.2%)

regimes48.0ms (0.5%)

regimes65.0ms (0.6%)

regimes49.0ms (0.5%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch32.0ms (0.3%)

bsearch57.0ms (0.5%)

bsearch49.0ms (0.5%)

bsearch45.0ms (0.4%)

bsearch174.0ms (1.6%)

simplify33.0ms (0.3%)

soundness2.0s (18.8%)

preprocess58.0ms (0.5%)

end0.0ms (0%)

Profiling