Metrics for Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

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)

sample1.2s (9.1%)

Results

944.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 590.0ms

ival-cos: 214.0ms (36.3% of total)

ival-sin: 197.0ms (33.4% of total)

ival-mult: 125.0ms (21.2% of total)

ival-add: 42.0ms (7.1% of total)

const: 9.0ms (1.5% of total)

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

Bogosity

preprocess89.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1284×	`fnmadd-define`
1000×	`fnmsub-define`
1000×	`fmsub-define`
876×	`fma-define`
778×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	86
1	89	80
2	184	80
3	494	80
4	1389	80
5	1966	80
6	2902	80
7	3468	80
8	3837	80
9	4302	80
10	4542	80
11	4577	80
12	4601	80
13	4609	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 (cos y)) (* z (sin y)))

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

Call 2

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

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

explain167.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

132.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 13.0ms (37.4% of total)

ival-sin: 11.0ms (31.6% of total)

ival-mult: 8.0ms (23% of total)

ival-add: 3.0ms (8.6% of total)

const: 1.0ms (2.9% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

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

localize51.0ms (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

41.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-sin: 10.0ms (47.4% of total)

ival-cos: 6.0ms (28.4% of total)

ival-mult: 4.0ms (19% of total)

ival-add: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite259.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	25	20
2	211	20
3	2701	20
0	8143	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 97

Calls

Call 1

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

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

simplify298.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3508×	`-lowering-.f32`
3508×	`-lowering-.f64`
2330×	`fma-lowering-fma.f32`
2330×	`fma-lowering-fma.f64`
2088×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	645
1	361	598
2	1212	590
3	3585	585
4	6619	585
0	8227	585

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval24.0ms (0.2%)

Compiler: Compiled 4827 to 360 computations (92.5% saved)

prune26.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	192	13	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	192	14	206

Accuracy

99.9%

Counts

206 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	41.4%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
	41.3%	(/.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 (sin.f64 y)) (.f64 x (cos.f64 y))))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.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))))))))
▶	41.3%	(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	78.3%	(+.f64 x (*.f64 z (sin.f64 y)))
	52.7%	(+.f64 x (*.f64 z y))
▶	51.5%	(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
	51.6%	(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
▶	99.6%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	43.7%	(*.f64 z (sin.f64 y))
	57.9%	(*.f64 x (cos.f64 y))
▶	37.3%	x

Compiler

Compiled 656 to 344 computations (47.6% saved)

simplify232.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	cost-diff	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 (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(+.f64 x (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))
✓	cost-diff	0	(+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64))))))
✓	cost-diff	0	(.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
✓	cost-diff	26624	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
1888×	`sum4-define`
1740×	`fma-lowering-fma.f32`
1740×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	306
1	110	294
2	304	291
3	1003	291
4	4430	291
0	8596	291

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize414.0ms (3.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.0%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	accuracy	73.7%	(/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	72.8%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	69.6%	(/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	100.0%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))
✓	accuracy	99.9%	(.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	99.7%	(.f64 z (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

Results

210.0ms	122×	1	valid
111.0ms	129×	0	valid
9.0ms	5×	2	valid

Compiler

Compiled 374 to 39 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 40.0ms (28.5% of total)

ival-cos: 35.0ms (24.9% of total)

ival-add: 15.0ms (10.7% of total)

ival-sin: 15.0ms (10.7% of total)

backward-pass: 14.0ms (10% of total)

ival-div: 8.0ms (5.7% of total)

...c/correct-round.rkt:119:19: 7.0ms (5% of total)

ival-sub: 6.0ms (4.3% of total)

const: 1.0ms (0.7% of total)

series73.0ms (0.6%)

Counts

22 → 636

Calls

Call 1

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

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

Calls

159 calls:

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

rewrite1.5s (12%)

Algorithm

1×	batch-egg-rewrite

Rules

5476×	`-lowering-.f32`
5476×	`-lowering-.f64`
2968×	`/-lowering-/.f32`
2968×	`/-lowering-/.f64`
2258×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	200
1	235	167
2	2228	167
0	9665	167

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 2420

Calls

Call 1

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

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

simplify483.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5004×	`-lowering-.f32`
5004×	`-lowering-.f64`
2558×	`+-lowering-+.f64`
2558×	`+-lowering-+.f32`
1708×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1230	11736
1	4730	10718
0	8236	10718

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
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(.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (neg.f64 (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 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (.f64 (.f64 x (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)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cos.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 (sin.f64 y) #s(literal 3 binary64)))) z)) (/.f64 (.f64 (.f64 x (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)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (/.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 x (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))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))
(-.f64 (.f64 x (-.f64 (.f64 x (.f64 (neg.f64 (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 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (.f64 (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 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (.f64 (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 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos 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 x (cos.f64 y)))
(/ (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/.f64 (+.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)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/.f64 (+.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)))))) (cos.f64 y)) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (+.f64 (+.f64 (+.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)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos 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 x (cos.f64 y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 z z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 z z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.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 (cos.f64 y) #s(literal 2 binary64)))) x)) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 z z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.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 3 binary64)))) x)) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.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 (cos.f64 y) #s(literal 2 binary64)))) x)) x))

eval670.0ms (5.3%)

Compiler: Compiled 283221 to 5957 computations (97.9% saved)

prune366.0ms (2.9%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	3348	21	3369
Fresh	5	3	8
Picked	3	2	5
Done	0	1	1
Total	3356	27	3383

Accuracy

100.0%

Counts

3383 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.3%	(/.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 x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
	30.5%	(/.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 x x)) (-.f64 (.f64 z (sin.f64 y)) x))
	57.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	23.0%	(-.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 (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (.f64 y y) (/.f64 (*.f64 z z) x)))
▶	99.1%	(+.f64 (/.f64 (.f64 x (+.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 z (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))))
▶	51.5%	(+.f64 (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) z)))))) x)
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	51.3%	(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
✓	78.3%	(+.f64 x (*.f64 z (sin.f64 y)))
▶	52.7%	(+.f64 x (*.f64 z y))
	34.3%	(+.f64 x (.f64 y (+.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
	51.4%	(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))))
	51.6%	(+.f64 x (.f64 y (+.f64 z (.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
	25.5%	(+.f64 x (.f64 y (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 z y)) y)))))
	36.0%	(+.f64 x (.f64 y (.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
	36.0%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	28.3%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
	43.4%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	28.4%	(.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
	45.4%	(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 y y)) z)) (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z))))
	89.8%	(.f64 z (+.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))))
	43.7%	(*.f64 z (sin.f64 y))
	18.4%	(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
▶	57.6%	(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
▶	57.9%	(*.f64 x (cos.f64 y))
	3.1%	(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
✓	37.3%	x

Compiler

Compiled 1003 to 631 computations (37.1% saved)

simplify238.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

5804×	`fma-define`
5476×	`fma-lowering-fma.f32`
5476×	`fma-lowering-fma.f64`
2004×	`-lowering-.f32`
2004×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	277
1	99	261
2	275	250
3	629	249
4	1302	249
5	2811	249
6	4264	249
7	5673	249
8	6062	249
9	6155	249
10	6208	249
11	6218	249
12	6218	249
13	6218	249
0	8407	249

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize334.0ms (2.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
✓	accuracy	99.8%	(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))
✓	accuracy	99.1%	(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.9%	(.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) z))))))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 #s(literal -1/6 binary64) z))))
✓	accuracy	99.7%	(.f64 y (.f64 #s(literal -1/6 binary64) z))
✓	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) z)
✓	accuracy	100.0%	(+.f64 x (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.7%	(.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
✓	accuracy	99.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))

Results

254.0ms

256×

valid

Compiler

Compiled 291 to 37 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 23.0ms (35.1% of total)

ival-cos: 12.0ms (18.3% of total)

ival-add: 9.0ms (13.7% of total)

ival-div: 8.0ms (12.2% of total)

ival-sin: 6.0ms (9.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.1% of total)

ival-pow: 3.0ms (4.6% of total)

const: 1.0ms (1.5% of total)

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

series34.0ms (0.3%)

Counts

21 → 480

Calls

Call 1

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

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

Calls

120 calls:

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

rewrite501.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

6156×	`-lowering-.f32`
6156×	`-lowering-.f64`
3130×	`/-lowering-/.f32`
3130×	`/-lowering-/.f64`
2458×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	214
1	220	168
2	2343	144
0	9895	144

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 610

Calls

Call 1

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

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

simplify339.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

5110×	`-lowering-.f32`
5110×	`-lowering-.f64`
1864×	`+-lowering-+.f64`
1864×	`+-lowering-+.f32`
1496×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	5529
1	1330	4931
2	5009	4901
0	8251	4901

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
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(pow (cos y) 2)
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* y z)
(* y (+ z (* -7/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 z)
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
1/2
(+ 1/2 (* 1/4 (pow y 2)))
(+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))
(+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))
(/ 1/2 (cos y))

Outputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 x (+.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)))))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 x (+.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)))))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 x (+.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)))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (+.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))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (+.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 z (.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (+.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 z (.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (+.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 z (.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(.f64 x (+.f64 (/.f64 (.f64 z (.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(.f64 x (+.f64 (/.f64 (.f64 z (.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(.f64 x (+.f64 (/.f64 (.f64 z (.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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))))
x
(+ x (* y z))
(+.f64 x (*.f64 z y))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.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))))) x) (cos.f64 y)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 z (cos.f64 y))) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 z (cos.f64 y))) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 z (cos.f64 y))) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 z (cos.f64 y))) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 z (cos.f64 y))) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 z (cos.f64 y))) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
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(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* y z)
(*.f64 z y)
(* y (+ z (* -7/6 (* (pow y 2) z))))
(.f64 y (.f64 (+.f64 (.f64 #s(literal -7/6 binary64) (.f64 y y)) #s(literal 1 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -7/6 binary64) (.f64 (.f64 y y) #s(literal 61/120 binary64)))))))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -7/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal -547/5040 binary64)) #s(literal 61/120 binary64))))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (* y z))
(.f64 z (.f64 y #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (pow y 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) #s(literal 1/4 binary64)))
(+ 1/2 (* (pow y 2) (+ 1/4 (* 5/48 (pow y 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 5/48 binary64)))))
(+ 1/2 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 5/48 (* 61/1440 (pow y 2)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 5/48 binary64) (.f64 (.f64 y y) #s(literal 61/1440 binary64)))))))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
(/ 1/2 (cos y))
(/.f64 #s(literal 1/2 binary64) (cos.f64 y))

eval216.0ms (1.7%)

Compiler: Compiled 34756 to 2870 computations (91.7% saved)

prune194.0ms (1.5%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1218	24	1242
Fresh	8	11	19
Picked	2	3	5
Done	0	3	3
Total	1228	41	1269

Accuracy

100.0%

Counts

1269 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (cos.f64 y) (.f64 x (cos.f64 y)))
	30.5%	(/.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 x x)) (-.f64 (.f64 z (sin.f64 y)) x))
	29.0%	(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
	20.7%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (*.f64 y z) x))))
	20.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
	57.6%	(+.f64 (/.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 x (/.f64 (cos.f64 y) #s(literal 1/2 binary64))))
	99.3%	(+.f64 (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (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))))
✓	51.5%	(+.f64 (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) z)))))) x)
▶	51.6%	(+.f64 (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))) x)
	25.5%	(+.f64 (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)) y)))) x)
	36.0%	(+.f64 (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	35.7%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
	51.3%	(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
✓	78.3%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	52.7%	(+.f64 x (*.f64 z y))
	34.3%	(+.f64 x (.f64 y (+.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
	51.4%	(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))))
	36.1%	(+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 y y))))))))))
	36.0%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
▶	16.6%	(.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)) y)) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))
	28.9%	(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y z))))
	28.3%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
	20.7%	(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x)))))
	57.7%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
	43.0%	(.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	18.4%	(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
	28.4%	(.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
▶	89.8%	(.f64 z (+.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))))
	43.7%	(*.f64 z (sin.f64 y))
▶	18.6%	(*.f64 z y)
	43.2%	(*.f64 y (+.f64 z (/.f64 x y)))
	18.4%	(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	46.5%	(.f64 x (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	57.7%	(.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (cos.f64 y)))
	50.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
	36.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
	35.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))))
✓	57.9%	(*.f64 x (cos.f64 y))
	3.1%	(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
✓	37.3%	x

Compiler

Compiled 1458 to 898 computations (38.4% saved)

simplify311.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (/.f64 (cos.f64 y) z))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z)))
✓	cost-diff	128	(.f64 z (+.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))))
✓	cost-diff	0	(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)) y)
✓	cost-diff	0	(*.f64 z #s(literal 1/6 binary64))
✓	cost-diff	0	(-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)) y))
✓	cost-diff	256	(.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)) y)) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))
✓	cost-diff	0	(.f64 y (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))) x)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
✓	cost-diff	19328	(fma.f64 (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (cos.f64 y) (.f64 x (cos.f64 y)))

Rules

2656×	`-lowering-.f32`
2656×	`-lowering-.f64`
1212×	`fma-lowering-fma.f32`
1212×	`fma-lowering-fma.f64`
1158×	`fmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	208
1	87	202
2	198	200
3	477	196
4	1542	195
5	4544	194
0	8502	194

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize230.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(/.f64 (cos.f64 y) z)
✓	accuracy	99.7%	(*.f64 x (/.f64 (cos.f64 y) z))
✓	accuracy	90.0%	(.f64 z (+.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))))
✓	accuracy	99.9%	(/.f64 (+.f64 z (/.f64 x y)) y)
✓	accuracy	99.8%	(.f64 y (.f64 y y))
✓	accuracy	99.4%	(*.f64 z #s(literal 1/6 binary64))
✓	accuracy	62.3%	(.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)) y)) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))
✓	accuracy	100.0%	(.f64 y (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))) x)
✓	accuracy	99.9%	(.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
✓	accuracy	99.5%	(fma.f64 (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (cos.f64 y) (.f64 x (cos.f64 y)))

Results

173.0ms

256×

valid

Compiler

Compiled 229 to 34 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 21.0ms (27.1% of total)

ival-sub: 15.0ms (19.4% of total)

ival-div: 11.0ms (14.2% of total)

ival-cos: 8.0ms (10.3% of total)

ival-add: 7.0ms (9% of total)

ival-sin: 7.0ms (9% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.2% of total)

compiled-spec: 3.0ms (3.9% of total)

const: 1.0ms (1.3% of total)

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

series81.0ms (0.6%)

Counts

21 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(* (- (* z 1/6) (/ (+ (* x -1/2) (/ (+ z (/ x y)) y)) y)) (- 0 (* y (* y y))))
2.0ms	z	@	0	(* (- (* z 1/6) (/ (+ (* x -1/2) (/ (+ z (/ x y)) y)) y)) (- 0 (* y (* y y))))
1.0ms	x	@	inf	(* (- (* z 1/6) (/ (+ (* x -1/2) (/ (+ z (/ x y)) y)) y)) (- 0 (* y (* y y))))
1.0ms	z	@	inf	(* (- (* z 1/6) (/ (+ (* x -1/2) (/ (+ z (/ x y)) y)) y)) (- 0 (* y (* y y))))
1.0ms	y	@	inf	(* z (+ (sin y) (* x (/ (cos y) z))))

rewrite388.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3468×	`-lowering-.f32`
3468×	`-lowering-.f64`
2700×	`fma-lowering-fma.f32`
2700×	`fma-lowering-fma.f64`
2122×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	156
1	213	144
2	2072	144
0	8316	144

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 316

Calls

Call 1

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

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

simplify371.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5850×	`-lowering-.f32`
5850×	`-lowering-.f64`
1850×	`+-lowering-+.f64`
1850×	`+-lowering-+.f32`
1634×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	5467
1	1597	4967
2	5728	4924
0	8554	4924

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

eval123.0ms (1%)

Compiler: Compiled 20100 to 1600 computations (92% saved)

prune142.0ms (1.1%)

Pruning

49 alts after pruning (41 fresh and 8 done)

	Pruned	Kept	Total
New	911	20	931
Fresh	9	21	30
Picked	3	2	5
Done	0	6	6
Total	923	49	972

Accuracy

100.0%

Counts

972 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.5%	(/.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 x x)) (-.f64 (.f64 z (sin.f64 y)) x))
	29.0%	(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
	20.7%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (*.f64 y z) x))))
	20.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
	27.0%	(+.f64 (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) y) (-.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))) x)
	77.7%	(+.f64 (/.f64 (.f64 z (.f64 (cos.f64 y) x)) z) (*.f64 z (sin.f64 y)))
	49.2%	(+.f64 (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z)))) x)
✓	51.5%	(+.f64 (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (*.f64 #s(literal -1/6 binary64) z)))))) x)
✓	51.6%	(+.f64 (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))) x)
	27.1%	(+.f64 (.f64 y (.f64 (-.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))) x)
	36.0%	(+.f64 (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	35.7%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
	51.3%	(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
✓	78.3%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	52.7%	(+.f64 x (*.f64 z y))
	34.3%	(+.f64 x (.f64 y (+.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 z z) x)) (/.f64 (*.f64 z z) x)))) z)))
	51.4%	(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 z (*.f64 y y)) #s(literal 1/120 binary64)))))))
	36.1%	(+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 y y))))))))))
	16.0%	(.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) x) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
	8.0%	(.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))
	28.9%	(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y z))))
	9.9%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))
	99.4%	(.f64 (+.f64 (.f64 z (tan.f64 y)) x) (cos.f64 y))
	20.7%	(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x)))))
	57.7%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
	10.7%	(.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) y) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))
	18.4%	(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
	10.8%	(.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x y)))
	11.0%	(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
	10.8%	(.f64 (.f64 y y) (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (/.f64 x (.f64 y (.f64 y y))))))
	28.4%	(.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
	48.0%	(.f64 z (/.f64 (.f64 x (cos.f64 y)) z))
	31.4%	(*.f64 z (/.f64 x z))
	89.9%	(.f64 z (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (/.f64 x z))))
	89.8%	(.f64 z (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x))))
	54.5%	(.f64 z (+.f64 y (.f64 x (/.f64 (cos.f64 y) z))))
	43.7%	(*.f64 z (sin.f64 y))
✓	18.6%	(*.f64 z y)
	43.2%	(*.f64 y (+.f64 z (/.f64 x y)))
	3.1%	(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))))
	90.9%	(.f64 x (+.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
	50.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
	36.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))))
	35.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))))
✓	57.9%	(*.f64 x (cos.f64 y))
	3.1%	(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
	3.2%	(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
✓	37.3%	x

Compiler

Compiled 2279 to 856 computations (62.4% saved)

regimes103.0ms (0.8%)

Counts

79 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes105.0ms (0.8%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
15.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes139.0ms (1.1%)

Counts

50 → 3

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	x
58.0ms	y
14.0ms	z

Results

Accuracy	Segments	Branch
80.9%	2	`y`
90.0%	3	`x`
86.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes126.0ms (1%)

Counts

47 → 4

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	y
53.0ms	x
13.0ms	z

Results

Accuracy	Segments	Branch
80.0%	4	`y`
76.3%	3	`z`
75.5%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes55.0ms (0.4%)

Counts

46 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
14.0ms	x
13.0ms	z

Results

Accuracy	Segments	Branch
67.5%	3	`x`
68.1%	3	`z`
73.7%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.3%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
14.0ms	y
14.0ms	z

Results

Accuracy	Segments	Branch
52.7%	1	`x`
52.7%	1	`z`
52.7%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(*.f64 z (/.f64 x z))

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

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
37.3%	1	`y`
41.7%	3	`x`
44.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
37.3%	1	`x`
37.3%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch66.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	7.267488155515728e+74	2.4942730333172886e+95
26.0ms	-5.903366418485834e+137	-3.9395636641931493e+124

Results

52.0ms

336×

valid

Compiler

Compiled 396 to 286 computations (27.8% saved)

Precisions

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

ival-sin: 20.0ms (50.4% of total)

ival-cos: 11.0ms (27.7% of total)

ival-mult: 6.0ms (15.1% of total)

ival-add: 2.0ms (5% of total)

const: 0.0ms (0% of total)

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

bsearch121.0ms (1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
59.0ms	430.9184119952419	1765.124454893429
15.0ms	-3.2078464032651675	-0.09833973973265711
44.0ms	-3.539721989848013e+180	-4.2229734839622324e+167

Results

105.0ms

368×

valid

Compiler

Compiled 555 to 393 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-cos: 29.0ms (62.3% of total)

ival-sin: 10.0ms (21.5% of total)

ival-mult: 6.0ms (12.9% of total)

ival-add: 2.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.856133653826788e-7	430.9184119952419
16.0ms	-0.023522069550443305	-2.252291317226584e-6

Results

23.0ms

272×

valid

Compiler

Compiled 511 to 353 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-cos: 4.0ms (31.7% of total)

ival-mult: 4.0ms (31.7% of total)

ival-sin: 3.0ms (23.8% of total)

ival-add: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.492522602850479e+168	4.3390664133352065e+168
15.0ms	-5.169523439048743e+54	-4.996379690544965e+53

Results

20.0ms

160×

valid

Compiler

Compiled 138 to 103 computations (25.4% saved)

Precisions

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

ival-cos: 5.0ms (36% of total)

ival-mult: 4.0ms (28.8% of total)

ival-sin: 4.0ms (28.8% of total)

ival-add: 1.0ms (7.2% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
14×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	124
1	81	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 (+.f64 (.f64 z (tan.f64 y)) x) (cos.f64 y))
(if (<=.f64 x #s(literal -79999999999999996394328534279835788762401800699068192947837007860143083602329396977235121218384458406950179019095594487328538624 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 111999999999999996117240788403134749520840124819221004678317230426707948666109221142528 binary64)) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -14500000000000000220483062143657547996172389301605277620957244806581193688302223639119877724208849104898768390337648799862041556413764089235019905383542955363112693533355464982528 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -8286623314361713/36028797018963968 binary64)) (.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 435 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))) (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/36028797018963968 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))) (*.f64 x (cos.f64 y))))
(+.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -4599999999999999883745772171828872825880206975000641536 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 2999999999999999801581484504228923687115850649290994555835078466923101940098810942877077297787537841512743663799095564426618142440334438379838375516211185852483155001344 binary64)) x (.f64 z y)))
x

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 (+.f64 (.f64 z (tan.f64 y)) x) (cos.f64 y))
(.f64 (cos.f64 y) (+.f64 x (.f64 z (tan.f64 y))))
(if (<=.f64 x #s(literal -79999999999999996394328534279835788762401800699068192947837007860143083602329396977235121218384458406950179019095594487328538624 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 111999999999999996117240788403134749520840124819221004678317230426707948666109221142528 binary64)) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -14500000000000000220483062143657547996172389301605277620957244806581193688302223639119877724208849104898768390337648799862041556413764089235019905383542955363112693533355464982528 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -8286623314361713/36028797018963968 binary64)) (.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 435 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))) (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/36028797018963968 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))) (*.f64 x (cos.f64 y))))
(+.f64 x (*.f64 z y))
(+.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -4599999999999999883745772171828872825880206975000641536 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 2999999999999999801581484504228923687115850649290994555835078466923101940098810942877077297787537841512743663799095564426618142440334438379838375516211185852483155001344 binary64)) x (.f64 z y)))
(if (<=.f64 z #s(literal -4599999999999999883745772171828872825880206975000641536 binary64)) (.f64 y z) (if (<=.f64 z #s(literal 2999999999999999801581484504228923687115850649290994555835078466923101940098810942877077297787537841512743663799095564426618142440334438379838375516211185852483155001344 binary64)) x (.f64 y z)))
x

soundness2.4s (19.3%)

Rules

6156×	`-lowering-.f32`
6156×	`-lowering-.f64`
5110×	`-lowering-.f32`
5110×	`-lowering-.f64`
5004×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	5529
1	1330	4931
2	5009	4901
0	8251	4901
0	109	645
1	361	598
2	1212	590
3	3585	585
4	6619	585
0	8227	585
0	8	20
1	25	20
2	211	20
3	2701	20
0	8143	20
0	34	156
1	213	144
2	2072	144
0	8316	144
0	1230	11736
1	4730	10718
0	8236	10718
0	36	214
1	220	168
2	2343	144
0	9895	144

Stop Event

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

Compiler

Compiled 266 to 141 computations (47% saved)

preprocess49.0ms (0.4%)

Compiler: Compiled 300 to 120 computations (60% saved)

analyze0.0ms (0%)

sample1.2s (9.1%)

preprocess89.0ms (0.7%)

explain167.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize51.0ms (0.4%)

series7.0ms (0.1%)

rewrite259.0ms (2%)

simplify298.0ms (2.4%)

eval24.0ms (0.2%)

prune26.0ms (0.2%)

simplify232.0ms (1.8%)

localize414.0ms (3.3%)

series73.0ms (0.6%)

rewrite1.5s (12%)

simplify483.0ms (3.8%)

eval670.0ms (5.3%)

prune366.0ms (2.9%)

simplify238.0ms (1.9%)

localize334.0ms (2.6%)

series34.0ms (0.3%)

rewrite501.0ms (4%)

simplify339.0ms (2.7%)

eval216.0ms (1.7%)

prune194.0ms (1.5%)

simplify311.0ms (2.5%)

localize230.0ms (1.8%)

series81.0ms (0.6%)

rewrite388.0ms (3.1%)

simplify371.0ms (2.9%)

eval123.0ms (1%)

prune142.0ms (1.1%)

regimes103.0ms (0.8%)

regimes105.0ms (0.8%)

regimes139.0ms (1.1%)

regimes126.0ms (1%)

regimes55.0ms (0.4%)

regimes44.0ms (0.3%)

regimes6.0ms (0%)

regimes3.0ms (0%)

bsearch66.0ms (0.5%)

bsearch121.0ms (1%)

bsearch38.0ms (0.3%)

bsearch27.0ms (0.2%)

simplify10.0ms (0.1%)

soundness2.4s (19.3%)

preprocess49.0ms (0.4%)

end0.0ms (0%)

Profiling