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)

sample1.4s (13.2%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 723.0ms

ival-mult: 225.0ms (31.1% of total)

ival-sin: 220.0ms (30.4% of total)

ival-cos: 210.0ms (29% of total)

ival-add: 58.0ms (8% of total)

const: 8.0ms (1.1% of total)

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

Bogosity

preprocess87.0ms (0.8%)

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)))

explain129.0ms (1.3%)

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

97.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sin: 28.0ms (56% of total)

ival-cos: 10.0ms (20% of total)

ival-mult: 8.0ms (16% of total)

ival-add: 3.0ms (6% of total)

const: 1.0ms (2% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (.f64 x (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)

localize47.0ms (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	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Results

37.0ms

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 (34.3% of total)

ival-cos: 5.0ms (28.6% of total)

ival-mult: 4.0ms (22.9% of total)

ival-add: 1.0ms (5.7% 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)))
1.0ms	y	@	inf	(+ (* x (sin y)) (* z (cos y)))

rewrite258.0ms (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))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z 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)))))
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(.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)

simplify218.0ms (2.1%)

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)

eval22.0ms (0.2%)

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

prune35.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	186	19	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	20	206

Accuracy

99.9%

Counts

206 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(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)))))))
	58.4%	(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)))))))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶	51.7%	(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)))))))
▶	43.8%	(/.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))))
	43.8%	(-.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))))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	45.8%	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 z (cos.f64 y)))))
	74.5%	(+.f64 (*.f64 x (sin.f64 y)) z)
	51.5%	(+.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)))))))
	51.3%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	52.6%	(+.f64 z (*.f64 y x))
	18.8%	(.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))))))))))
	43.7%	(.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)))))))
	46.6%	(.f64 (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 z (.f64 (cos.f64 y) (-.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 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))))))))
	46.2%	(.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 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 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))))))
	60.1%	(*.f64 z (cos.f64 y))
▶	42.1%	(*.f64 x (sin.f64 y))
▶	35.2%	z

Compiler

Compiled 1230 to 582 computations (52.7% saved)

simplify262.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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	0	(/.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))))
✓	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	19648	(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)))))))
✓	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

2318×	`fma-lowering-fma.f32`
2318×	`fma-lowering-fma.f64`
1992×	`fnmadd-define`
1944×	`sum4-define`
1908×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	329
1	103	321
2	311	312
3	1050	312
4	3601	312
0	8448	312

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

localize413.0ms (4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.0%	(/.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))))
✓	accuracy	92.4%	(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓	accuracy	74.7%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	66.2%	(/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓	accuracy	95.0%	(-.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))))))
✓	accuracy	87.1%	(.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	74.7%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	60.4%	(/.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	99.8%	(*.f64 z (cos.f64 y))

Results

188.0ms	115×	1	valid
112.0ms	130×	0	valid
19.0ms	11×	2	valid

Compiler

Compiled 368 to 30 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 43.0ms (27.4% of total)

ival-cos: 32.0ms (20.4% of total)

ival-sub: 30.0ms (19.1% of total)

backward-pass: 16.0ms (10.2% of total)

compiled-spec: 13.0ms (8.3% of total)

ival-div: 8.0ms (5.1% of total)

ival-sin: 8.0ms (5.1% of total)

ival-add: 6.0ms (3.8% of total)

ival-neg: 2.0ms (1.3% of total)

const: 1.0ms (0.6% of total)

series99.0ms (1%)

Counts

16 → 420

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

105 calls:

Time	Variable		Point	Expression
34.0ms	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))))
3.0ms	z	@	0	(* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y)))))
3.0ms	x	@	0	(neg (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))
3.0ms	y	@	-inf	(/ (* z z) (- (* x (sin y)) (* z (cos y))))
3.0ms	x	@	inf	(/ (* z z) (- (* x (sin y)) (* z (cos y))))

rewrite637.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3982×	`-lowering-.f32`
3982×	`-lowering-.f64`
2282×	`fma-lowering-fma.f32`
2282×	`fma-lowering-fma.f64`
2198×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	151
1	226	107
2	2078	107
0	8666	107

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1082

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

simplify461.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

4596×	`-lowering-.f32`
4596×	`-lowering-.f64`
2728×	`+-lowering-+.f64`
2728×	`+-lowering-+.f32`
1782×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1143	10705
1	4539	9771
0	8167	9771

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

eval540.0ms (5.3%)

Compiler: Compiled 108521 to 3263 computations (97% saved)

prune203.0ms (2%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1790	17	1807
Fresh	8	6	14
Picked	3	2	5
Done	0	1	1
Total	1801	26	1827

Accuracy

100.0%

Counts

1827 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(fma.f64 (sin.f64 y) x z)
	43.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 z (cos.f64 y)) (cos.f64 y)) 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 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	43.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 z (cos.f64 y)) z) (cos.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 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	50.8%	(/.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))))
	31.9%	(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
▶	15.9%	(/.f64 (.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 x (sin.f64 y))))
	59.8%	(/.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))
	24.2%	(/.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))
	99.2%	(+.f64 (/.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)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y)))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	74.5%	(+.f64 (*.f64 x (sin.f64 y)) z)
	51.5%	(+.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)))))))
	51.3%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	52.6%	(+.f64 z (*.f64 y x))
▶	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))))))
	59.8%	(.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
	94.5%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	60.1%	(*.f64 z (cos.f64 y))
	21.2%	(.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y y)))))
	42.4%	(.f64 x (-.f64 (/.f64 (neg.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sin.f64 y))))
	21.2%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
▶	20.9%	(.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))))))
	21.2%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	42.1%	(*.f64 x (sin.f64 y))
▶	21.0%	(*.f64 x y)
✓	35.2%	z

Compiler

Compiled 967 to 596 computations (38.4% saved)

simplify211.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (.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 x (sin.f64 y))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	6272	(fma.f64 (sin.f64 y) x z)
✓	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 (sin.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	cost-diff	26624	(.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)))))
✓	cost-diff	26752	(.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))))))

Rules

2162×	`-lowering-.f32`
2162×	`-lowering-.f64`
1968×	`fnmadd-define`
1664×	`sum3-define`
1654×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	206
1	109	199
2	300	197
3	869	197
4	2441	197
5	5798	197
0	8351	197

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize392.0ms (3.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	86.9%	(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
✓	accuracy	81.5%	(/.f64 (.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 x (sin.f64 y))))
✓	accuracy	74.7%	(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) x z)
✓	accuracy	100.0%	(.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)))))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	99.2%	(.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	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
✓	accuracy	99.6%	(.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)))))

Results

132.0ms	91×	1	valid
116.0ms	130×	0	valid
61.0ms	35×	2	valid

Compiler

Compiled 277 to 36 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-mult: 61.0ms (38.5% of total)

ival-cos: 25.0ms (15.8% of total)

backward-pass: 17.0ms (10.7% of total)

ival-add: 14.0ms (8.8% of total)

ival-div: 11.0ms (6.9% of total)

...c/correct-round.rkt:119:19: 11.0ms (6.9% of total)

ival-sin: 8.0ms (5.1% of total)

compiled-spec: 8.0ms (5.1% of total)

ival-sub: 4.0ms (2.5% of total)

const: 1.0ms (0.6% of total)

series39.0ms (0.4%)

Counts

18 → 420

Calls

Call 1

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

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

Calls

105 calls:

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

rewrite448.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3378×	`-lowering-.f32`
3378×	`-lowering-.f64`
2996×	`/-lowering-/.f32`
2996×	`/-lowering-/.f64`
2376×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	134
1	223	127
2	1679	125
0	8806	125

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 482

Calls

Call 1

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

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

simplify325.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

6952×	`-lowering-.f32`
6952×	`-lowering-.f64`
2778×	`/-lowering-/.f32`
2778×	`/-lowering-/.f64`
2044×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	561	4953
1	2087	4380
0	8256	4380

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

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

eval197.0ms (1.9%)

Compiler: Compiled 35940 to 2099 computations (94.2% saved)

prune163.0ms (1.6%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1102	8	1110
Fresh	4	14	18
Picked	3	2	5
Done	0	3	3
Total	1109	27	1136

Accuracy

100.0%

Counts

1136 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(fma.f64 y x z)
	16.0%	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) x (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 x x)))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	43.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 z (cos.f64 y)) z) (cos.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 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	31.9%	(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	16.1%	(/.f64 (.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 z (*.f64 x (sin.f64 y))))
	59.8%	(/.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))
	3.0%	(/.f64 (.f64 y (.f64 y (*.f64 x x))) (-.f64 #s(literal 0 binary64) z))
	24.2%	(/.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))
▶	99.2%	(+.f64 (/.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)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y)))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	74.5%	(+.f64 (*.f64 x (sin.f64 y)) z)
	51.3%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
▶	51.9%	(+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))))
▶	52.6%	(+.f64 z (*.f64 y x))
	59.9%	(.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 z (cos.f64 y)))))
▶	59.8%	(.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
	94.5%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	60.1%	(*.f64 z (cos.f64 y))
	21.2%	(.f64 y (+.f64 x (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))))
	42.4%	(.f64 x (-.f64 (/.f64 (neg.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sin.f64 y))))
	20.4%	(.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))))))
	21.2%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
✓	20.9%	(.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))))))
	21.2%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	42.1%	(*.f64 x (sin.f64 y))
✓	21.0%	(*.f64 x y)
✓	35.2%	z

Compiler

Compiled 925 to 581 computations (37.2% saved)

simplify241.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

5150×	`fma-define`
4988×	`fma-lowering-fma.f32`
4988×	`fma-lowering-fma.f64`
2850×	`-lowering-.f32`
2850×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	260
1	88	239
2	233	228
3	518	227
4	1044	225
5	2299	225
6	3709	225
7	5068	225
8	5457	225
9	5564	225
10	5617	225
11	5627	225
12	5627	225
0	8411	225

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize266.0ms (2.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
✓	accuracy	99.8%	(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))
✓	accuracy	99.8%	(.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓	accuracy	99.2%	(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓	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	99.9%	(.f64 y (+.f64 x (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))))
✓	accuracy	99.8%	(.f64 y (.f64 y (*.f64 x #s(literal -1/6 binary64))))
✓	accuracy	99.7%	(.f64 y (.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 z (*.f64 y x))
✓	accuracy	99.7%	(.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))))))
✓	accuracy	99.7%	(/.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))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))

Results

191.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 269 to 34 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 24.0ms (36.3% of total)

ival-cos: 11.0ms (16.7% of total)

ival-add: 9.0ms (13.6% of total)

ival-div: 7.0ms (10.6% of total)

ival-sin: 7.0ms (10.6% of total)

...c/correct-round.rkt:119:19: 5.0ms (7.6% of total)

ival-pow: 3.0ms (4.5% of total)

backward-pass: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

series56.0ms (0.5%)

Counts

22 → 480

Calls

Call 1

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

Outputs
#<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 (* (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 (* (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 (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
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#<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 (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (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 (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))>
#<alt 1/2>
#<alt (+ 1/2 (* -3/4 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (- (* -1/16 (pow y 2)) 3/4)))>
#<alt (+ 1/2 (* (pow y 2) (- (* (pow y 2) (- (* -7/160 (pow y 2)) 1/16)) 3/4)))>
#<alt (* 1/2 (/ (cos (* 2 y)) (cos y)))>
#<alt (* 1/2 (/ (cos (* 2 y)) (cos y)))>
#<alt (* 1/2 (/ (cos (* 2 y)) (cos y)))>
#<alt (* 1/2 (/ (cos (* 2 y)) (cos y)))>
#<alt (* 1/2 (/ (cos (* 2 y)) (cos y)))>
#<alt (* 1/2 (/ (cos (* 2 y)) (cos y)))>
#<alt (* 1/2 (/ (cos (* 2 y)) (cos y)))>
#<alt (* 1/2 (/ (cos (* 2 y)) (cos y)))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* 2 y)) (cos y))>
#<alt (/ (cos (* 2 y)) (cos y))>
#<alt (/ (cos (* 2 y)) (cos y))>
#<alt (/ (cos (* 2 y)) (cos y))>
#<alt (/ (cos (* 2 y)) (cos y))>
#<alt (/ (cos (* 2 y)) (cos y))>
#<alt (/ (cos (* 2 y)) (cos y))>
#<alt (/ (cos (* 2 y)) (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))>
#<alt (+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>
#<alt (/ 1/2 (cos y))>

Calls

120 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	(/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
4.0ms	y	@	inf	(+ (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)))
2.0ms	x	@	inf	(+ z (* y (+ x (* y (* y (* x -1/6))))))
2.0ms	y	@	-inf	(+ (/ (* (* x (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)))
2.0ms	y	@	-inf	(* z (+ (* 1/2 (/ (cos (* y 2)) (cos y))) (/ 1/2 (cos y))))

rewrite475.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5936×	`-lowering-.f32`
5936×	`-lowering-.f64`
3098×	`/-lowering-/.f32`
3098×	`/-lowering-/.f64`
2422×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	207
1	208	160
2	2183	134
0	9466	134

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 597

Calls

Call 1

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

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

simplify344.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

5658×	`-lowering-.f32`
5658×	`-lowering-.f64`
2848×	`+-lowering-+.f64`
2848×	`+-lowering-+.f32`
1590×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	5053
1	1199	4483
2	4321	4472
0	9128	4472

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
z
(+ z (* x y))
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))

Outputs
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.f64 y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 x (+.f64 (.f64 (+.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) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 x (+.f64 (.f64 (+.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) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 x (+.f64 (.f64 (+.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) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 x (+.f64 (.f64 (+.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) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 x (+.f64 (.f64 (+.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) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 x (+.f64 (.f64 (+.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) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
z
(+ z (* x y))
(+.f64 z (*.f64 y x))
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 y (.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.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 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (+.f64 (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (+.f64 (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (+.f64 (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 z (+.f64 (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (+.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 x (sin.f64 y)) (.f64 (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) z)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (+.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 x (sin.f64 y)) (.f64 (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) z)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (+.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 x (sin.f64 y)) (.f64 (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) z)))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.f64 y)))
(* -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))))))
(.f64 z (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 (/.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) z))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (cos.f64 y))))
(* -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))))))
(.f64 z (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 (/.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) z))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (cos.f64 y))))
(* -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))))))
(.f64 z (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 (/.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) z))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (cos.f64 y))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* x y)
(*.f64 y x)
(* y (+ x (* (pow y 2) (- (* -7/6 x) (* -1 x)))))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
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1
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(pow (cos y) 2)
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(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.f64 y)))
z
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))
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(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.f64 y)))
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.f64 y)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
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(* -1/6 x)
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(.f64 y (.f64 x #s(literal -1/6 binary64)))
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(.f64 y (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(.f64 y (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(.f64 y (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(.f64 y (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(.f64 y (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(.f64 y (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(.f64 y (.f64 x #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (pow y 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y #s(literal 1/4 binary64))))
(+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 5/48 binary64)))))
(+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))
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(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
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(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
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(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

eval199.0ms (1.9%)

Compiler: Compiled 30975 to 2588 computations (91.6% saved)

prune165.0ms (1.6%)

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	1142	18	1160
Fresh	3	14	17
Picked	2	3	5
Done	0	5	5
Total	1147	40	1187

Accuracy

100.0%

Counts

1187 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(fma.f64 (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y)) (.f64 #s(literal 1/2 binary64) z) (/.f64 z (/.f64 (cos.f64 y) #s(literal 1/2 binary64))))
	59.7%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) z (/.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (cos.f64 y)))
	16.0%	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) x (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 x x)))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	43.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 z (cos.f64 y)) z) (cos.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 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	33.9%	(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
	22.5%	(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))
	27.9%	(/.f64 (.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))))))) #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)))))) z) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (cos.f64 y)))
	31.9%	(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	41.8%	(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
	16.1%	(/.f64 (.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 z (*.f64 x (sin.f64 y))))
	59.8%	(/.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))
	3.0%	(/.f64 (.f64 y (.f64 y (*.f64 x x))) (-.f64 #s(literal 0 binary64) z))
	24.2%	(/.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))
	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x (.f64 y (*.f64 x y))))))
	51.7%	(+.f64 (.f64 x (.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)))))))))) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	74.5%	(+.f64 (*.f64 x (sin.f64 y)) z)
	32.9%	(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
	33.4%	(+.f64 z (.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))))
✓	52.6%	(+.f64 z (*.f64 y x))
	59.9%	(.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 z (cos.f64 y)))))
	33.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
	59.8%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 z (cos.f64 y)))
✓	59.8%	(.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
	94.5%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	50.7%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) z)))
	32.9%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
	64.0%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 x z))))
	60.1%	(*.f64 z (cos.f64 y))
	38.6%	(*.f64 y (+.f64 x (/.f64 z y)))
	21.2%	(.f64 y (+.f64 x (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64))))))
	3.2%	(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
	46.7%	(*.f64 x (+.f64 y (/.f64 z x)))
	20.4%	(.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))))))
	21.2%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
✓	20.9%	(.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))))))
	21.2%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	42.1%	(*.f64 x (sin.f64 y))
✓	21.0%	(*.f64 x y)
✓	35.2%	z

Compiler

Compiled 2034 to 720 computations (64.6% saved)

regimes102.0ms (1%)

Counts

63 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	y
19.0ms	z
18.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
18.0ms	x

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)

regimes96.0ms (0.9%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	z
12.0ms	x
11.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
11.0ms	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)

regimes35.0ms (0.3%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	z
9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
87.4%	3	`x`
83.3%	5	`y`
87.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
87.9%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.3%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	z
8.0ms	x

Results

Accuracy	Segments	Branch
76.0%	3	`x`
80.2%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes33.0ms (0.3%)

Counts

26 → 3

Calls

Call 1

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

14.0ms	z
9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
58.8%	3	`x`
72.5%	3	`y`
61.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.3%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	z
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`z`
52.6%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

Outputs
z
(*.f64 x y)
z

Calls

3 calls:

4.0ms	y
2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
41.5%	3	`x`
44.4%	3	`z`
39.3%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
35.2%	1	`y`
35.2%	1	`x`
35.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch73.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.69718236832949e-49	2.359232986044588e-37
45.0ms	-27104544044598.06	-1846192.9989772774

Results

60.0ms

304×

valid

Compiler

Compiled 341 to 241 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 25.0ms (51.7% of total)

ival-mult: 8.0ms (16.5% of total)

ival-cos: 7.0ms (14.5% of total)

ival-sin: 7.0ms (14.5% of total)

const: 0.0ms (0% of total)

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

bsearch59.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.69718236832949e-49	2.359232986044588e-37
32.0ms	-27104544044598.06	-1846192.9989772774

Results

46.0ms

304×

valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 13.0ms (40.7% of total)

ival-sin: 7.0ms (21.9% of total)

ival-cos: 6.0ms (18.8% of total)

ival-mult: 5.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

bsearch52.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.69718236832949e-49	2.359232986044588e-37
27.0ms	-1.9445241853255966e-137	-4.270135730570336e-143

Results

31.0ms

304×

valid

Compiler

Compiled 322 to 241 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 7.0ms (35.4% of total)

ival-cos: 6.0ms (30.4% of total)

ival-mult: 5.0ms (25.3% of total)

ival-add: 1.0ms (5.1% of total)

const: 0.0ms (0% of total)

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

bsearch68.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.00012522656518500704	0.011519811241562473
23.0ms	-387.27444275700066	-47.62845725030513

Results

59.0ms

208×

valid

Compiler

Compiled 317 to 221 computations (30.3% saved)

Precisions

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

ival-cos: 42.0ms (82.4% of total)

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

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

ival-add: 1.0ms (2% of total)

const: 0.0ms (0% of total)

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

bsearch51.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	6.688311685739441e-60	1.7809488278744e-56
22.0ms	-1.2217423235093458e-149	-2.843520284638322e-167

Results

39.0ms

288×

valid

Compiler

Compiled 234 to 175 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 16.0ms (56.5% of total)

ival-cos: 6.0ms (21.2% of total)

ival-mult: 5.0ms (17.7% of total)

ival-add: 1.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	114
1	77	114

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 z #s(literal -2500000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 5555296335638847/47890485652059026823698344598447161988085597568237568 binary64)) (fma.f64 (sin.f64 y) x z) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -9000000000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 2991431295770215/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -7960885958403417/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 8034690221294951/6427752177035961102167848369364650410088811975131171341205504 binary64)) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -48 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 4496393867966703/576460752303423488 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 z #s(literal -4204616825042777/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) z (if (<=.f64 z #s(literal 1015937062247571/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (*.f64 x y) z))
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 z #s(literal -2500000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 5555296335638847/47890485652059026823698344598447161988085597568237568 binary64)) (fma.f64 (sin.f64 y) x z) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -9000000000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 2991431295770215/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -9000000000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 2991431295770215/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 z (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -7960885958403417/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 8034690221294951/6427752177035961102167848369364650410088811975131171341205504 binary64)) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -7960885958403417/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 8034690221294951/6427752177035961102167848369364650410088811975131171341205504 binary64)) (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -48 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 4496393867966703/576460752303423488 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 -48 binary64)) (.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 4496393867966703/576460752303423488 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 z #s(literal -4204616825042777/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) z (if (<=.f64 z #s(literal 1015937062247571/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (*.f64 x y) z))
(if (<=.f64 z #s(literal -4204616825042777/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) z (if (<=.f64 z #s(literal 1015937062247571/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (*.f64 y x) z))
z

soundness1.2s (11.8%)

Rules

4596×	`-lowering-.f32`
4596×	`-lowering-.f64`
3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
2728×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	25	20
2	211	20
3	2701	20
0	8147	20
0	1143	10705
1	4539	9771
0	8167	9771
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

Compiler

Compiled 246 to 128 computations (48% saved)

preprocess100.0ms (1%)

Compiler: Compiled 282 to 114 computations (59.6% saved)

analyze0.0ms (0%)

sample1.4s (13.2%)

preprocess87.0ms (0.8%)

explain129.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize47.0ms (0.5%)

series7.0ms (0.1%)

rewrite258.0ms (2.5%)

simplify218.0ms (2.1%)

eval22.0ms (0.2%)

prune35.0ms (0.3%)

simplify262.0ms (2.6%)

localize413.0ms (4%)

series99.0ms (1%)

rewrite637.0ms (6.2%)

simplify461.0ms (4.5%)

eval540.0ms (5.3%)

prune203.0ms (2%)

simplify211.0ms (2.1%)

localize392.0ms (3.8%)

series39.0ms (0.4%)

rewrite448.0ms (4.4%)

simplify325.0ms (3.2%)

eval197.0ms (1.9%)

prune163.0ms (1.6%)

simplify241.0ms (2.3%)

localize266.0ms (2.6%)

series56.0ms (0.5%)

rewrite475.0ms (4.6%)

simplify344.0ms (3.3%)

eval199.0ms (1.9%)

prune165.0ms (1.6%)

regimes102.0ms (1%)

regimes96.0ms (0.9%)

regimes35.0ms (0.3%)

regimes12.0ms (0.1%)

regimes35.0ms (0.3%)

regimes33.0ms (0.3%)

regimes26.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch73.0ms (0.7%)

bsearch59.0ms (0.6%)

bsearch52.0ms (0.5%)

bsearch68.0ms (0.7%)

bsearch51.0ms (0.5%)

simplify12.0ms (0.1%)

soundness1.2s (11.8%)

preprocess100.0ms (1%)

end0.0ms (0%)

Profiling