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 (12.7%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 856.0ms

ival-cos: 447.0ms (52.2% of total)

ival-sin: 204.0ms (23.8% of total)

ival-mult: 153.0ms (17.9% of total)

ival-add: 43.0ms (5% of total)

const: 7.0ms (0.8% of total)

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

Bogosity

preprocess94.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain151.0ms (1.4%)

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

74.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

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

ival-cos: 11.0ms (30% of total)

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

ival-add: 2.0ms (5.5% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

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)

localize93.0ms (0.9%)

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

85.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-sin: 35.0ms (48.2% of total)

ival-cos: 31.0ms (42.7% of total)

ival-mult: 5.0ms (6.9% of total)

ival-add: 1.0ms (1.4% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite255.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2786×	`-lowering-.f32`
2786×	`-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	209	20
3	2700	20
0	8132	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 98

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 (.f64 z (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 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
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(.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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.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 #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 (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 (.f64 z (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 (.f64 z (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 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (-.f64 (.f64 (.f64 z (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 (.f64 z (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 (.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 #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 (.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 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 (.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 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)))))
(.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))))))))
(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)

simplify297.0ms (2.7%)

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	622
2	1194	612
3	3562	606
4	6567	606
0	8152	606

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

eval27.0ms (0.2%)

Compiler: Compiled 4866 to 367 computations (92.5% saved)

prune52.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	189	17	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	18	207

Accuracy

99.9%

Counts

207 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(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)))))))
	52.4%	(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)))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
▶	41.2%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	41.0%	(-.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)))
	53.0%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
	52.9%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	53.7%	(+.f64 z (*.f64 y x))
	41.1%	(.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)))
	41.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
▶	99.6%	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	62.4%	(*.f64 z (cos.f64 y))
▶	39.0%	(*.f64 x (sin.f64 y))
▶	39.6%	z

Compiler

Compiled 882 to 480 computations (45.6% saved)

simplify191.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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))))))
✓	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	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	6272	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))

Rules

3830×	`-lowering-.f32`
3830×	`-lowering-.f64`
1280×	`fnmadd-define`
1266×	`times-frac`
1116×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	219
1	90	215
2	255	211
3	846	211
4	3442	211
0	8182	211

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize252.0ms (2.3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.8%	(/.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)))))
✓	accuracy	96.3%	(-.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	88.7%	(.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	74.3%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	54.3%	(/.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 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))

Results

105.0ms	119×	1	valid
75.0ms	127×	0	valid
12.0ms	10×	2	valid

Compiler

Compiled 274 to 29 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-cos: 39.0ms (33.4% of total)

ival-mult: 31.0ms (26.6% of total)

backward-pass: 15.0ms (12.9% of total)

ival-sub: 7.0ms (6% of total)

ival-add: 6.0ms (5.1% of total)

compiled-spec: 6.0ms (5.1% of total)

ival-sin: 6.0ms (5.1% of total)

ival-div: 5.0ms (4.3% of total)

const: 1.0ms (0.9% of total)

series36.0ms (0.3%)

Counts

15 → 396

Calls

Call 1

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

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y)))))
4.0ms	z	@	-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))))
2.0ms	y	@	inf	(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
2.0ms	y	@	-inf	(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
1.0ms	x	@	0	(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))

rewrite524.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3258×	`-lowering-.f32`
3258×	`-lowering-.f64`
2904×	`/-lowering-/.f32`
2904×	`/-lowering-/.f64`
1910×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	113
1	201	86
2	1715	86
0	8938	86

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 782

Calls

Call 1

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

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

simplify385.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

6994×	`-lowering-.f32`
6994×	`-lowering-.f64`
2512×	`/-lowering-/.f32`
2512×	`/-lowering-/.f64`
2454×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	586	5680
1	2200	5320
0	8557	5320

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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

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

eval232.0ms (2.1%)

Compiler: Compiled 67550 to 2428 computations (96.4% saved)

prune187.0ms (1.7%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1483	20	1503
Fresh	7	5	12
Picked	2	3	5
Done	0	1	1
Total	1492	29	1521

Accuracy

100.0%

Counts

1521 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(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)))))))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	41.0%	(/.f64 (-.f64 (+.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 z z)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
▶	41.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 y) z) 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))))
	12.2%	(/.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))))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
	99.4%	(+.f64 (.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 (.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	49.4%	(+.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	52.9%	(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
▶	53.0%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
	53.7%	(+.f64 z (*.f64 y x))
	41.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
	91.1%	(.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 (.f64 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))))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z))
▶	62.3%	(.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)))
	38.9%	(.f64 (.f64 x (sin.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))))))
	91.1%	(.f64 z (+.f64 (/.f64 (.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))))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
	91.3%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	62.4%	(*.f64 z (cos.f64 y))
	17.8%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
	17.6%	(.f64 y (+.f64 x (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))))))
	24.9%	(.f64 x (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sin.f64 y)))
	17.6%	(.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))))))
	17.8%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
	17.5%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
✓	39.0%	(*.f64 x (sin.f64 y))
▶	17.5%	(*.f64 x y)
✓	39.6%	z

Compiler

Compiled 1292 to 775 computations (40% saved)

simplify217.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2842×	`fma-lowering-fma.f32`
2842×	`fma-lowering-fma.f64`
2146×	`-lowering-.f32`
2146×	`-lowering-.f64`
2050×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	297
1	115	291
2	316	287
3	843	287
4	2075	287
5	5654	287
0	8328	287

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize342.0ms (3.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.3%	(-.f64 (.f64 (.f64 (.f64 (cos.f64 y) z) 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))))))
✓	accuracy	88.7%	(.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	74.3%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	54.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 y) z) 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))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(/.f64 z (cos.f64 y))
✓	accuracy	99.7%	(.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)))
✓	accuracy	99.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64)))))))
✓	accuracy	99.7%	(.f64 x (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.8%	(*.f64 (cos.f64 y) z)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))

Results

137.0ms	119×	1	valid
77.0ms	127×	0	valid
31.0ms	10×	2	valid

Compiler

Compiled 318 to 43 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 51.0ms (35.9% of total)

ival-cos: 35.0ms (24.7% of total)

backward-pass: 13.0ms (9.2% of total)

ival-div: 11.0ms (7.7% of total)

ival-add: 9.0ms (6.3% of total)

ival-sin: 8.0ms (5.6% of total)

ival-sub: 7.0ms (4.9% of total)

...c/correct-round.rkt:119:19: 7.0ms (4.9% of total)

const: 1.0ms (0.7% of total)

series52.0ms (0.5%)

Counts

24 → 612

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* x (sin y)) (* (cos y) z))))>
#<alt (/ 1 (+ (* x (sin y)) (* (cos y) z)))>
#<alt (+ (* x (sin y)) (* (cos y) z))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (+ z (* y (+ x (* y (+ (* z -1/2) (* x (* y -1/6)))))))>
#<alt (* y (+ x (* y (+ (* z -1/2) (* x (* y -1/6))))))>
#<alt (+ x (* y (+ (* z -1/2) (* x (* y -1/6)))))>
#<alt (* y (+ (* z -1/2) (* x (* y -1/6))))>
#<alt (* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (cos y)))>
#<alt (+ 1/2 (* 1/2 (cos (* y 2))))>
#<alt (* 1/2 (cos (* y 2)))>
#<alt (cos (* y 2))>
#<alt (/ (- (* (* (* (cos y) z) z) (cos y)) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (- (* (* (* (cos y) z) z) (cos y)) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (* (* (cos y) z) z) (cos y))>
#<alt (* (* (cos y) z) z)>
#<alt (* (cos y) z)>
#<alt (* y -1/6)>
#<alt (* x (* y -1/6))>
#<alt (/ z (cos y))>
#<alt (cos y)>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (* (* x x) (- 1/2 (* 1/2 (cos (* 2 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 (/ 1 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (/ (* 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))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -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)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (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)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (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 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (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 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* 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))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -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))) (/ (* (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 (+ (* 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))>
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#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (sin y)))) (* z (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) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (sin y)))) (* z (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) (pow (cos y) 2)) (* (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) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (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) (pow (cos y) 2)) (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) (pow (cos y) 2)) (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) (pow (cos y) 2)) (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 (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) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (pow (cos y) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (pow (cos y) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (pow (cos y) 2)))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (pow (cos y) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (pow (cos y) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (pow (cos y) 2)))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (cos y) 2)))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (cos y) 2)))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (cos y) 2)))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (pow (cos y) 2)) (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) (pow (cos y) 2)) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) 1/2))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (* (pow z 2) (pow (cos y) 2))>
#<alt (pow z 2)>
#<alt (+ (* -1/2 (* (pow y 2) (pow z 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (pow z 2)) (* 1/24 (* (pow y 2) (pow z 2))))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (pow z 2)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (pow z 2))) (* 1/24 (pow z 2)))))) (pow z 2))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (cos y))>
#<alt (* (pow z 2) (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 (* 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 (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 (* 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 (/ 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 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 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 (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)))))>

Calls

153 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (cos y)))
5.0ms	y	@	0	(/ 1 (+ (* x (sin y)) (* (cos y) z)))
2.0ms	z	@	inf	(* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (cos y)))
1.0ms	y	@	inf	(/ (- (* (* (* (cos y) z) z) (cos y)) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
1.0ms	y	@	-inf	(/ (- (* (* (* (cos y) z) z) (cos y)) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))

rewrite501.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2978×	`-lowering-.f32`
2978×	`-lowering-.f64`
2554×	`/-lowering-/.f32`
2554×	`/-lowering-/.f64`
2194×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	197
1	265	164
2	2199	161
0	8308	161

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1015

Calls

Call 1

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

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

simplify469.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

6166×	`-lowering-.f32`
6166×	`-lowering-.f64`
3612×	`+-lowering-+.f64`
3612×	`+-lowering-+.f32`
1860×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	769	7832
1	2782	7385
0	8881	7385

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

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))
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(*.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))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 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))
(/ 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 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (.f64 z #s(literal 5/24 binary64))) (.f64 z #s(literal 1/2 binary64)))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 (.f64 z #s(literal 7/360 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 z #s(literal -5/24 binary64))))) (.f64 z #s(literal 5/24 binary64)))) (*.f64 z #s(literal 1/2 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)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/3 binary64))) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 y y) #s(literal -1/315 binary64)))) #s(literal -1/3 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (pow y 2))
(.f64 (.f64 y x) (*.f64 y x))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (.f64 (.f64 y y) (.f64 (*.f64 x x) #s(literal 2/45 binary64)))))))
(* (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)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) #s(literal 2/45 binary64)) (.f64 (.f64 (.f64 y y) #s(literal -1/315 binary64)) (*.f64 x x))))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))

eval254.0ms (2.3%)

Compiler: Compiled 67378 to 4002 computations (94.1% saved)

prune244.0ms (2.2%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1708	23	1731
Fresh	12	8	20
Picked	4	1	5
Done	0	4	4
Total	1724	36	1760

Accuracy

100.0%

Counts

1760 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	36.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 y) z) z) (cos.f64 y)) (.f64 (.f64 y x) (.f64 y x))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	62.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (cos.f64 y) z))
	25.0%	(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x) (sin.f64 y))
	32.7%	(/.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	62.3%	(/.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))
	34.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (cos.f64 y) z) (.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 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
	29.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))))))
	62.1%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
	53.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y x))))
	62.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	38.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	39.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	34.8%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
▶	99.4%	(+.f64 (.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 (.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	24.3%	(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
	20.8%	(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (/.f64 x (.f64 y y))))))
▶	37.6%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
	37.7%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
	37.9%	(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
	37.9%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
▶	53.7%	(+.f64 z (*.f64 y x))
	2.7%	(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
▶	91.3%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	62.4%	(*.f64 z (cos.f64 y))
	17.8%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
▶	17.6%	(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	17.6%	(.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))))))
	17.8%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
	17.5%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
✓	39.0%	(*.f64 x (sin.f64 y))
✓	17.5%	(*.f64 x y)
	3.0%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
✓	39.6%	z

Compiler

Compiled 1340 to 819 computations (38.9% saved)

simplify263.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (/.f64 (sin.f64 y) z))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
✓	cost-diff	128	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
✓	cost-diff	512	(.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (*.f64 #s(literal -1/24 binary64) z)))
✓	cost-diff	640	(+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	640	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	640	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	cost-diff	0	(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 z (*.f64 y x))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (+.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)))
✓	cost-diff	13376	(+.f64 (.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 (.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))

Rules

4096×	`+-lowering-+.f64`
4096×	`+-lowering-+.f32`
2700×	`-lowering-.f32`
2700×	`-lowering-.f64`
1814×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	323
1	129	286
2	439	271
3	1364	260
4	3289	257
0	8681	257

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(+ (* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* y 2)))))) (pow (cos y) 2)))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)) (+.f64 z (/.f64 (.f64 x (sin.f64 y)) (cos.f64 y))))
(* (+ 1/2 (* 1/2 (cos (* y 2)))) (/ z (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)))
(+ 1/2 (* 1/2 (cos (* y 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* y 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(cos (* y 2))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(/ z (cos y))
(/.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* y 2)))))) (pow (cos y) 2))
(.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* y 2))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (sin.f64 y)))
x
(* (sin y) (+ 1/2 (* 1/2 (cos (* y 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 y)) (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(+ z (* y x))
(+.f64 z (*.f64 y x))
z
(* y x)
(*.f64 y x)
y
x
(* y (* x (+ 1 (* -1/6 (* y y)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
y
(* x (+ 1 (* -1/6 (* y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
x
(+ 1 (* -1/6 (* y y)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
1
#s(literal 1 binary64)
(* -1/6 (* y y))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
(+ z (* (* y y) (+ (* (* y y) (+ (- (* z 1/3) (* 1/4 z)) (* -1/24 z))) (* z -1/2))))
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
z
(* (* y y) (+ (* (* y y) (+ (- (* z 1/3) (* 1/4 z)) (* -1/24 z))) (* z -1/2)))
(.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* y y)
(*.f64 y y)
y
(+ (* (* y y) (+ (- (* z 1/3) (* 1/4 z)) (* -1/24 z))) (* z -1/2))
(.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* (* y y) (+ (- (* z 1/3) (* 1/4 z)) (* -1/24 z)))
(.f64 y (.f64 y (*.f64 z #s(literal 1/24 binary64))))
(+ (- (* z 1/3) (* 1/4 z)) (* -1/24 z))
(*.f64 z #s(literal 1/24 binary64))
(- (* z 1/3) (* 1/4 z))
(*.f64 z #s(literal 1/12 binary64))
(* z 1/3)
(*.f64 z #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* z (+ (cos y) (* x (/ (sin y) z))))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
z
(+ (cos y) (* x (/ (sin y) z)))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(cos y)
(cos.f64 y)
y
(* x (/ (sin y) z))
(/.f64 (*.f64 x (sin.f64 y)) z)
x
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(sin y)
(sin.f64 y)

localize212.0ms (1.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) z)
✓	accuracy	96.5%	(*.f64 x (/.f64 (sin.f64 y) z))
✓	accuracy	91.3%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
✓	accuracy	99.5%	(*.f64 #s(literal -1/24 binary64) z)
✓	accuracy	98.9%	(-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z))
✓	accuracy	95.3%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64))))
✓	accuracy	90.6%	(.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (*.f64 #s(literal -1/24 binary64) z)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
✓	accuracy	99.9%	(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	accuracy	99.6%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 z (*.f64 y x))
✓	accuracy	99.7%	(.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)))
✓	accuracy	99.7%	(/.f64 (.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))

Results

152.0ms

256×

valid

Compiler

Compiled 337 to 46 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 35.0ms (40.5% of total)

...c/correct-round.rkt:119:19: 13.0ms (15% of total)

ival-cos: 12.0ms (13.9% of total)

ival-add: 9.0ms (10.4% of total)

ival-sin: 6.0ms (6.9% of total)

ival-div: 5.0ms (5.8% of total)

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

ival-sub: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

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

series58.0ms (0.5%)

Counts

23 → 516

Calls

Call 1

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

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))>
#<alt (+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))>
#<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)) (/ (* 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)) (/ (* 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 (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<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 (/ (* 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 (/ (* 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 (/ (* 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))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<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 (/ (* 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))>
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#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<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 (/ (* x (* (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))>
#<alt (/ (* x (* (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))>
#<alt (/ (* x (* (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))>
#<alt (/ (* x (* (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))>
#<alt (/ (* x (* (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))>
#<alt (/ (* x (* (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))>
#<alt (* x y)>
#<alt (* y (+ x (* (pow y 2) (- (* -7/6 x) (* -1 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (* 61/120 x) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x))))) (* -1 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (+ (* 61/120 x) (* (pow y 2) (- (* -547/5040 x) (+ (* -1 (- (* 61/120 x) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x)))) (+ (* -2/45 x) (* 1/3 (- (* -7/6 x) (* -1 x)))))))) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x))))) (* -1 x)))))>
#<alt (/ (* x (* (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))>
#<alt (/ (* x (* (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))>
#<alt (/ (* x (* (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))>
#<alt (/ (* x (* (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))>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* 1/12 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (* -1/24 z)>
#<alt (/ y z)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>

Calls

129 calls:

Time	Variable		Point	Expression
14.0ms	y	@	-inf	(/ (sin y) z)
8.0ms	x	@	-inf	(* z (+ (cos y) (* x (/ (sin y) z))))
2.0ms	z	@	inf	(+ z (* y x))
2.0ms	z	@	0	(+ z (* (* y y) (+ (* (* y y) (+ (- (* z 1/3) (* 1/4 z)) (* -1/24 z))) (* z -1/2))))
1.0ms	z	@	inf	(+ z (* (* y y) (+ (* (* y y) (+ (- (* z 1/3) (* 1/4 z)) (* -1/24 z))) (* z -1/2))))

rewrite572.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5990×	`-lowering-.f32`
5990×	`-lowering-.f64`
2620×	`/-lowering-/.f32`
2620×	`/-lowering-/.f64`
2472×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	240
1	269	190
2	2706	164
0	10407	164

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 868

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (*.f64 z (cos.f64 y)))
(-.f64 (.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))))) (.f64 x (sin.f64 y))) (-.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 z (cos.f64 y)) (/.f64 (.f64 (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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 (.f64 z (cos.f64 y)) (.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 2 binary64)) (-.f64 (.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 z (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 z (cos.f64 y) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 (/.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64)) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (.f64 x (/.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 z (cos.f64 y)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 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 z (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 (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 #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 z (cos.f64 y)))
(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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(fma.f64 (.f64 (sin.f64 y) #s(literal 1 binary64)) x (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (cos.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y)) (cos.f64 y)) (/.f64 x (cos.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (.f64 x (sin.f64 y)) (cos.f64 y)) (cos.f64 y) (.f64 z (cos.f64 y)))
(/.f64 #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 y #s(literal 2 binary64)))))) (.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) #s(literal 1 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)))))) (pow.f64 (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #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 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 (.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 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 y #s(literal 2 binary64)))))) (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)))))
(/.f64 (+.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (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 x (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/.f64 (+.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 1 binary64) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))) (.f64 (cos.f64 y) #s(literal 1 binary64))) (.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))))))
(/.f64 (+.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) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (cos.f64 y) (.f64 (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 (cos.f64 y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (sin.f64 y))) (cos.f64 y)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) z))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (sin.f64 y) #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))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64)))) (cos.f64 y)))
(/.f64 (+.f64 (.f64 (.f64 (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)))))) (cos.f64 y)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (+.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 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #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 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) (*.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)))))) (pow.f64 (.f64 x (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 z (cos.f64 y)) (.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 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 (.f64 (sin.f64 y) #s(literal 1 binary64))) (*.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 (/.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 x (sin.f64 y))))) (.f64 (/.f64 (cos.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (+.f64 #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 x (.f64 (sin.f64 y) #s(literal 1 binary64))))) (.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64))) (.f64 (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64))))))
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(/.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/1728 binary64)) (.f64 (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64))) (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64)))))) (+.f64 (.f64 (.f64 z z) #s(literal 1/144 binary64)) (-.f64 (.f64 (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64))) (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64)))) (.f64 (.f64 z #s(literal 1/12 binary64)) (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/144 binary64)) (.f64 (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64))) (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64))))) (-.f64 (.f64 z #s(literal 1/12 binary64)) (+.f64 (.f64 z #s(literal -1/4 binary64)) (.f64 z #s(literal 1/4 binary64)))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 z z) #s(literal 1/9 binary64)) (.f64 (.f64 z #s(literal 1/4 binary64)) (.f64 z #s(literal 7/12 binary64)))) (+.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/27 binary64)) (.f64 (.f64 z (*.f64 z z)) #s(literal -1/64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z #s(literal 7/12 binary64)) (.f64 (.f64 z #s(literal 7/12 binary64)) (.f64 z #s(literal 1/12 binary64)))) #s(literal -1 binary64))
(*.f64 z #s(literal 1/12 binary64))
(.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/27 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) #s(literal 1/9 binary64)) (.f64 (.f64 z #s(literal 1/4 binary64)) (.f64 z #s(literal 7/12 binary64))))))
(.f64 (.f64 (.f64 z #s(literal 7/12 binary64)) (.f64 z #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 7/12 binary64))))
(*.f64 z #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) z)
(exp.f64 (*.f64 (log.f64 (/.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(/.f64 (sin.f64 y) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(pow.f64 (/.f64 z (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))

simplify499.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

5060×	`-lowering-.f32`
5060×	`-lowering-.f64`
1546×	`+-lowering-+.f64`
1546×	`+-lowering-+.f32`
1282×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	5697
1	1201	4798
2	4278	4788
0	8403	4788

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
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))
(* -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))))))
(* -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))))))
(* -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))))))
(/ (* 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 (* (pow y 2) (- (* -1 z) (* -1/2 z))))
(+ 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))))
(+ 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))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
1/2
(+ 1/2 (* -1 (pow y 2)))
(+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1)))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z))))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z))))))
(* (pow y 4) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (+ (* 1/3 z) (/ z (pow y 4))))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (+ (* 1/3 z) (/ z (pow y 4))))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (+ (* 1/3 z) (/ z (pow y 4))))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (+ (* 1/3 z) (/ z (pow y 4))))) (* 1/4 z)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))))
(* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))))
(* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))))
(* (pow y 4) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 4) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))
(* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))
(* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))
(* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))
(* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))
(* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))
(* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))
(* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))
(* -1 (* (pow y 2) (* z (+ 1/2 (* -1/24 (pow y 2))))))
(* -1 (* (pow y 2) (* z (+ 1/2 (* -1/24 (pow y 2))))))
(* -1 (* (pow y 2) (* z (+ 1/2 (* -1/24 (pow y 2))))))
(* -1 (* (pow y 2) (* z (+ 1/2 (* -1/24 (pow y 2))))))
(* -1/2 z)
(+ (* -1/2 z) (* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z))))
(+ (* -1/2 z) (* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z))))
(+ (* -1/2 z) (* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z))))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/24 z) (* 1/3 z))) (* 1/4 z)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* -1 (* z (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* z (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* z (+ 1/2 (* -1/24 (pow y 2)))))
(* -1 (* z (+ 1/2 (* -1/24 (pow y 2)))))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* (pow y 2) (- (+ (* -1/24 z) (* 1/3 z)) (* 1/4 z)))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* 1/24 (* (pow y 2) z))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
(/ (* x (sin y)) z)
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(/ (* x (* (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))
(/ (* x (* (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))
(/ (* x (* (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))
(/ (* x (* (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))
(/ (* x (* (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))
(/ (* x (* (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))
(* x y)
(* y (+ x (* (pow y 2) (- (* -7/6 x) (* -1 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (* 61/120 x) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x))))) (* -1 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (+ (* 61/120 x) (* (pow y 2) (- (* -547/5040 x) (+ (* -1 (- (* 61/120 x) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x)))) (+ (* -2/45 x) (* 1/3 (- (* -7/6 x) (* -1 x)))))))) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x))))) (* -1 x)))))
(/ (* x (* (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))
(/ (* x (* (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))
(/ (* x (* (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))
(/ (* x (* (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))
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* 1/12 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(* -1/24 z)
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)

Outputs
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+ 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 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 z (cos.f64 y))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 z (+.f64 (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (/.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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 z (+.f64 (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (/.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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 z (+.f64 (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (/.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 y #s(literal 2 binary64))) (/.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 #s(literal 1/2 binary64) (cos.f64 y)) (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 x 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 #s(literal 1/2 binary64) (cos.f64 y)) (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 x 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 #s(literal 1/2 binary64) (cos.f64 y)) (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 x z)))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x y)
(*.f64 x y)
(* y (+ x (* (pow y 2) (- (* -7/6 x) (* -1 x)))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (* 61/120 x) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x))))) (* -1 x)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 61/120 binary64)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x #s(literal -1/3 binary64))))) (*.f64 x #s(literal -1/6 binary64)))))))
(* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (+ (* 61/120 x) (* (pow y 2) (- (* -547/5040 x) (+ (* -1 (- (* 61/120 x) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x)))) (+ (* -2/45 x) (* 1/3 (- (* -7/6 x) (* -1 x)))))))) (+ (* -1 (- (* -7/6 x) (* -1 x))) (* 1/3 x))))) (* -1 x)))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 x #s(literal -547/5040 binary64)) (+.f64 (.f64 x #s(literal -2/45 binary64)) (.f64 x #s(literal -1/18 binary64)))) (+.f64 (.f64 x #s(literal 61/120 binary64)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x #s(literal -1/3 binary64)))))) (+.f64 (.f64 x #s(literal 61/120 binary64)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x #s(literal -1/3 binary64)))))) (*.f64 x #s(literal -1/6 binary64))))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (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 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* 1/12 z)
(*.f64 z #s(literal 1/12 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(* -1/24 z)
(*.f64 z #s(literal -1/24 binary64))
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(.f64 y (+.f64 (/.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) z) (/.f64 #s(literal 1 binary64) z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal -1/6 binary64) z) (/.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) (/.f64 #s(literal 1/120 binary64) z))) (/.f64 #s(literal -1/6 binary64) z)))))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)

eval246.0ms (2.2%)

Compiler: Compiled 54066 to 3794 computations (93% saved)

prune393.0ms (3.6%)

Pruning

47 alts after pruning (39 fresh and 8 done)

	Pruned	Kept	Total
New	1465	19	1484
Fresh	6	20	26
Picked	2	3	5
Done	0	5	5
Total	1473	47	1520

Accuracy

100.0%

Counts

1520 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.7%	(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	36.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 y) z) z) (cos.f64 y)) (.f64 (.f64 y x) (.f64 y x))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	62.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (cos.f64 y) z))
	25.0%	(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x) (sin.f64 y))
	32.7%	(/.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	16.8%	(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	62.3%	(/.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))
	33.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 (.f64 y x) (*.f64 y x)))))
	62.1%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
	53.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y x))))
	62.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	38.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	39.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	34.8%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	75.7%	(+.f64 z (/.f64 (.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	37.6%	(+.f64 z (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (*.f64 y y))))
	24.3%	(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
✓	37.6%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
	37.7%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
	37.6%	(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
	37.9%	(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
	37.9%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
✓	53.7%	(+.f64 z (*.f64 y x))
	33.1%	(.f64 (-.f64 (.f64 z z) (.f64 (.f64 y x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
	23.7%	(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
	91.3%	(*.f64 (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
	2.0%	(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
	17.5%	(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x)
	2.7%	(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
	8.1%	(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y))))
	3.2%	(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
	30.5%	(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
	47.9%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
	67.5%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
	62.4%	(*.f64 z (cos.f64 y))
	41.2%	(*.f64 y (+.f64 x (/.f64 z y)))
	17.8%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
	3.0%	(.f64 y (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))
✓	17.6%	(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	17.6%	(.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))))))
	17.8%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
✓	39.0%	(*.f64 x (sin.f64 y))
✓	17.5%	(*.f64 x y)
	3.0%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
✓	39.6%	z

Compiler

Compiled 2344 to 827 computations (64.7% saved)

regimes103.0ms (0.9%)

Counts

80 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x)
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+.f64 z (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (*.f64 y y))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(.f64 (-.f64 (.f64 z z) (.f64 (.f64 y x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 (.f64 y x) (*.f64 y x)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (/.f64 x (.f64 y y))))))
(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) 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 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
(.f64 x (/.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 #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 #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) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(/.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 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x) (sin.f64 y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (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 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(+.f64 z (/.f64 (.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 y) z) z) (cos.f64 y)) (.f64 (.f64 y x) (.f64 y 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 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x 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 (.f64 (cos.f64 y) z) (.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 x x) (+.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 z z) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 z z)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(.f64 (.f64 x (sin.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 (.f64 (cos.f64 y) z) 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 #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 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 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+.f64 (.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 (.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 (.f64 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))))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) z))
(-.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 z (+.f64 (/.f64 (.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))))))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (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)))))))

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

Calls

4 calls:

25.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
25.0ms	z
24.0ms	x
22.0ms	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)

regimes79.0ms (0.7%)

Counts

55 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x)
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+.f64 z (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (*.f64 y y))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(.f64 (-.f64 (.f64 z z) (.f64 (.f64 y x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 (.f64 y x) (*.f64 y x)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (/.f64 x (.f64 y y))))))
(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) 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 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
(.f64 x (/.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 #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 #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) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(/.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 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x) (sin.f64 y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))

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

Calls

4 calls:

20.0ms	z
18.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
18.0ms	y
15.0ms	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)

regimes48.0ms (0.4%)

Counts

44 → 5

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x)
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+.f64 z (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (*.f64 y y))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(.f64 (-.f64 (.f64 z z) (.f64 (.f64 y x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 (.f64 y x) (*.f64 y x)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (/.f64 x (.f64 y y))))))
(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))

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

Calls

3 calls:

16.0ms	x
15.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
80.8%	4	`x`
80.1%	4	`y`
86.2%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.3%)

Counts

43 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x)
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+.f64 z (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (*.f64 y y))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(.f64 (-.f64 (.f64 z z) (.f64 (.f64 y x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 (.f64 y x) (*.f64 y x)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (/.f64 x (.f64 y y))))))
(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))

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

Calls

2 calls:

14.0ms	z
12.0ms	x

Results

Accuracy	Segments	Branch
79.1%	3	`x`
77.9%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes43.0ms (0.4%)

Counts

39 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x)
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+.f64 z (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (*.f64 y y))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(.f64 (-.f64 (.f64 z z) (.f64 (.f64 y x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 (.f64 y x) (*.f64 y x)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (/.f64 x (.f64 y y))))))
(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))))))
(*.f64 x (sin.f64 y))

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

Calls

3 calls:

14.0ms	z
13.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
62.8%	3	`z`
74.3%	3	`y`
63.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0.4%)

Counts

38 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 y (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z))))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 y x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x)
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+.f64 z (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (*.f64 y y))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))
(.f64 (-.f64 (.f64 z z) (.f64 (.f64 y x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y x)) (-.f64 (.f64 z z) (.f64 (.f64 y x) (*.f64 y x)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
(+.f64 z (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (/.f64 x (.f64 y y))))))
(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z))) (+.f64 (.f64 z #s(literal -1/720 binary64)) (.f64 #s(literal -1/48 binary64) z))))) (+.f64 (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 #s(literal 1/4 binary64) z)) (.f64 #s(literal -1/24 binary64) z)))) (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (-.f64 (.f64 z z) (.f64 y (.f64 (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))))))

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

Calls

3 calls:

14.0ms	y
13.0ms	z
11.0ms	x

Results

Accuracy	Segments	Branch
53.7%	1	`z`
53.7%	1	`x`
53.7%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

3 calls:

2.0ms	z
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
39.6%	1	`y`
46.0%	3	`x`
44.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

3.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
39.6%	1	`y`
39.6%	1	`z`
39.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch106.0ms (1%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3948454000184716e+96	1.8720678493866537e+99
10.0ms	4.9242124454582515e-285	1.5788135162517466e-284
39.0ms	-1.1924442859443697e-236	-1.6047664481524284e-238
35.0ms	-1.2467687990528564e+54	-5.3176726838861504e+45

Results

62.0ms

464×

valid

Compiler

Compiled 656 to 477 computations (27.3% saved)

Precisions

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

ival-mult: 23.0ms (48% of total)

ival-sin: 12.0ms (25% of total)

ival-cos: 10.0ms (20.9% of total)

ival-add: 2.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.416852963480709e+139	2.0171333154866708e+145
18.0ms	-3.4747710460080163e+68	-6.908192436315051e+64

Results

29.0ms

272×

valid

Compiler

Compiled 290 to 217 computations (25.2% saved)

Precisions

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

ival-mult: 6.0ms (31.8% of total)

ival-sin: 6.0ms (31.8% of total)

ival-cos: 5.0ms (26.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.137241154798617e-5	0.0009573939225751705
19.0ms	-4.476197198754286e-8	-4.230289626650274e-13

Results

20.0ms

256×

valid

Compiler

Compiled 386 to 269 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (33.7% of total)

ival-sin: 3.0ms (25.3% of total)

ival-add: 2.0ms (16.9% of total)

ival-cos: 2.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.348442580794461e+135	4.4230609987571134e+136
19.0ms	-3.7770855064084064e+115	-9.165376920812969e+109

Results

24.0ms

240×

valid

Compiler

Compiled 198 to 148 computations (25.3% saved)

Precisions

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

ival-sin: 5.0ms (34.5% of total)

ival-cos: 4.0ms (27.6% of total)

ival-mult: 4.0ms (27.6% of total)

ival-add: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	125
1	79	125

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -44999999999999999694942690346273258940776879887482880 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -6415114477738391/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (if (<=.f64 z #s(literal 5692389475677045/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 19499999999999999727305708972599680637465004652637626717351537021966429230188520146914980910858240 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 z (cos.f64 y))))))
(if (<=.f64 x #s(literal -330000000000000004779179745081036862152925715804487450086770324013056 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 75999999999999999851734874018579986195351722912246329545317088538539895385712706563720935042461900063223320604747365713612437188106640162816 binary64)) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -1662273001970115/37778931862957161709568 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8762203435012037/9223372036854775808 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 x #s(literal -17199999999999999737897172518443999583447680896993332232489332438960454089167479356247256712939959694336150470656 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7499999999999999471636755242964368695626842646793525417430612848173548702543103004385723262155597206236015301841068836068912087932338176 binary64)) z (.f64 x y)))
z

Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(if (<=.f64 z #s(literal -44999999999999999694942690346273258940776879887482880 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -6415114477738391/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (if (<=.f64 z #s(literal 5692389475677045/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 19499999999999999727305708972599680637465004652637626717351537021966429230188520146914980910858240 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -44999999999999999694942690346273258940776879887482880 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -6415114477738391/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (if (<=.f64 z #s(literal 5692389475677045/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 19499999999999999727305708972599680637465004652637626717351537021966429230188520146914980910858240 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 x #s(literal -330000000000000004779179745081036862152925715804487450086770324013056 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 75999999999999999851734874018579986195351722912246329545317088538539895385712706563720935042461900063223320604747365713612437188106640162816 binary64)) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 x #s(literal -330000000000000004779179745081036862152925715804487450086770324013056 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 75999999999999999851734874018579986195351722912246329545317088538539895385712706563720935042461900063223320604747365713612437188106640162816 binary64)) (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -1662273001970115/37778931862957161709568 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8762203435012037/9223372036854775808 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 x #s(literal -17199999999999999737897172518443999583447680896993332232489332438960454089167479356247256712939959694336150470656 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7499999999999999471636755242964368695626842646793525417430612848173548702543103004385723262155597206236015301841068836068912087932338176 binary64)) z (.f64 x y)))
(if (<=.f64 x #s(literal -17199999999999999737897172518443999583447680896993332232489332438960454089167479356247256712939959694336150470656 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 7499999999999999471636755242964368695626842646793525417430612848173548702543103004385723262155597206236015301841068836068912087932338176 binary64)) z (.f64 y x)))
z

soundness1.8s (16.3%)

Rules

6994×	`-lowering-.f32`
6994×	`-lowering-.f64`
5060×	`-lowering-.f32`
5060×	`-lowering-.f64`
3474×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	5680
1	2200	5320
0	8557	5320
0	345	5697
1	1201	4798
2	4278	4788
0	8403	4788
0	109	645
1	362	622
2	1194	612
3	3562	606
4	6567	606
0	8152	606
0	8	20
1	25	20
2	209	20
3	2700	20
0	8132	20

Stop Event

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

Compiler

Compiled 263 to 138 computations (47.5% saved)

preprocess73.0ms (0.7%)

Compiler: Compiled 296 to 120 computations (59.5% saved)

analyze0.0ms (0%)

sample1.4s (12.7%)

preprocess94.0ms (0.9%)

explain151.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize93.0ms (0.9%)

series8.0ms (0.1%)

rewrite255.0ms (2.3%)

simplify297.0ms (2.7%)

eval27.0ms (0.2%)

prune52.0ms (0.5%)

simplify191.0ms (1.7%)

localize252.0ms (2.3%)

series36.0ms (0.3%)

rewrite524.0ms (4.8%)

simplify385.0ms (3.5%)

eval232.0ms (2.1%)

prune187.0ms (1.7%)

simplify217.0ms (2%)

localize342.0ms (3.1%)

series52.0ms (0.5%)

rewrite501.0ms (4.6%)

simplify469.0ms (4.3%)

eval254.0ms (2.3%)

prune244.0ms (2.2%)

simplify263.0ms (2.4%)

localize212.0ms (1.9%)

series58.0ms (0.5%)

rewrite572.0ms (5.2%)

simplify499.0ms (4.6%)

eval246.0ms (2.2%)

prune393.0ms (3.6%)

regimes103.0ms (0.9%)

regimes79.0ms (0.7%)

regimes48.0ms (0.4%)

regimes31.0ms (0.3%)

regimes43.0ms (0.4%)

regimes40.0ms (0.4%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

bsearch106.0ms (1%)

bsearch40.0ms (0.4%)

bsearch35.0ms (0.3%)

bsearch33.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.8s (16.3%)

preprocess73.0ms (0.7%)

end0.0ms (0%)

Profiling