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)

sample1.4s (7.2%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 766.0ms

ival-mult: 218.0ms (28.5% of total)

ival-cos: 217.0ms (28.3% of total)

ival-sin: 182.0ms (23.8% of total)

ival-add: 139.0ms (18.2% of total)

const: 7.0ms (0.9% of total)

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

Bogosity

preprocess51.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

168×	`associate-r`
164×	`unsub-neg`
142×	`associate-l`
132×	`distribute-lft-neg-in`
116×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	96
1	81	90
2	141	90
3	323	90
4	491	90
5	733	90
6	904	90
7	987	90
8	1066	90
9	1132	90
10	1146	90
11	1151	90
12	1153	90
0	8	9
1	11	9
0	11	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)))
(+ (* (neg x) (cos y)) (* z (sin y)))
(- (* z (sin y)) (* x (cos y)))
(+ (* x (cos (neg y))) (* z (sin (neg y))))
(- (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* (neg z) (sin y)))
(- (* x (cos y)) (* z (sin y)))
(neg (+ (* (neg x) (cos y)) (* z (sin y))))
(- (* x (cos y)) (* z (sin y)))
(neg (+ (* x (cos (neg y))) (* z (sin (neg y)))))
(- (* z (sin y)) (* x (cos y)))
(neg (+ (* x (cos y)) (* (neg z) (sin y))))
(- (* z (sin y)) (* x (cos y)))
(+ (* y (cos x)) (* z (sin x)))
(+ (* z (cos y)) (* x (sin y)))
(+ (* (cos y) z) (* x (sin y)))
(+ (* x (cos z)) (* y (sin z)))

explain98.0ms (0.5%)

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

67.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-cos: 16.0ms (38.3% of total)

ival-sin: 12.0ms (28.7% of total)

ival-mult: 11.0ms (26.3% of total)

ival-add: 2.0ms (4.8% of total)

const: 1.0ms (2.4% 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)

localize53.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	11	24
0	11	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)

Results

29.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-cos: 6.0ms (35% of total)

ival-sin: 5.0ms (29.2% of total)

ival-mult: 4.0ms (23.3% of total)

ival-add: 2.0ms (11.7% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

Outputs
#<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 (* 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 (* 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 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>

Calls

24 calls:

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

rewrite935.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

11480×	`accelerator-lowering-fma.f32`
11480×	`accelerator-lowering-fma.f64`
4168×	`-lowering-.f32`
4168×	`-lowering-.f64`
4068×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	24	19
2	180	19
3	1853	19
0	8395	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 176

Calls

Call 1

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

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

simplify1.1s (5.6%)

Algorithm

1×	egg-herbie

Rules

14080×	`accelerator-lowering-fma.f32`
14080×	`accelerator-lowering-fma.f64`
3812×	`-lowering-.f32`
3812×	`-lowering-.f64`
2968×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	890	610
3	2083	604
4	3747	604
5	6387	604
0	8804	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 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))
(* 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))
(* 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)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)

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

eval126.0ms (0.7%)

Compiler: Compiled 10235 to 4385 computations (57.2% saved)

prune41.0ms (0.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	256	16	272
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	256	17	273

Accuracy

99.9%

Counts

273 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.2%	(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)))) (-.f64 #s(literal 0 binary64) (.f64 (.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 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
▶	65.8%	(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)))) (-.f64 #s(literal 0 binary64) (.f64 (.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 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	43.7%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 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))))))))
	44.2%	(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 x (.f64 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))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	65.9%	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	78.1%	(+.f64 x (*.f64 z (sin.f64 y)))
	54.7%	(+.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))))))))
	54.3%	(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
	55.2%	(+.f64 x (*.f64 y z))
	44.1%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 x (.f64 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)))))))
	33.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (.f64 (sin.f64 y) (.f64 z (-.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))))
	37.9%	(*.f64 z (sin.f64 y))
▶	63.5%	(*.f64 x (cos.f64 y))
▶	43.3%	x

Compiler

Compiled 754 to 508 computations (32.6% saved)

localize1.3s (6.9%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (.f64 (.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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
✓	cost-diff	26112	(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)))) (-.f64 #s(literal 0 binary64) (.f64 (.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 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	6272	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓	accuracy	99.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	94.5%	(/.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))))
✓	accuracy	75.2%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	68.1%	(.f64 (.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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Rules

13716×	`accelerator-lowering-fma.f32`
13716×	`accelerator-lowering-fma.f64`
2778×	`-lowering-.f32`
2778×	`-lowering-.f64`
2038×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	237
1	79	236
2	191	236
3	429	235
4	1239	235
5	3671	223
6	5935	223
0	8322	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

166.0ms	121×	0	valid
272.0ms	98×	1	valid
157.0ms	36×	2	valid
6.0ms	1×	5	exit

Compiler

Compiled 280 to 112 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 531.0ms

ival-cos: 256.0ms (48.2% of total)

ival-mult: 91.0ms (17.1% of total)

backward-pass: 74.0ms (13.9% of total)

ival-sin: 28.0ms (5.3% of total)

ival-div: 25.0ms (4.7% of total)

ival-sub: 22.0ms (4.1% of total)

<compiled-spec>: 14.0ms (2.6% of total)

ival-add: 14.0ms (2.6% of total)

const: 7.0ms (1.3% of total)

series77.0ms (0.4%)

Counts

16 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))) (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y)))))))
4.0ms	y	@	-inf	(/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y))))
2.0ms	x	@	inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))) (- 0 (* (* z z) (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y)))))))
2.0ms	y	@	-inf	(/ 1 (+ (* x (cos y)) (* z (sin y))))
1.0ms	y	@	inf	(* (* z z) (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* x (cos y)) (* z (sin y)))))

rewrite1.4s (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4796×	`/-lowering-/.f32`
4796×	`/-lowering-/.f64`
3940×	`-lowering-.f32`
3940×	`-lowering-.f64`
2852×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	168
1	181	136
2	1518	136
0	8255	131

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 2389

Calls

Call 1

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

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

simplify870.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

6338×	`-lowering-.f32`
6338×	`-lowering-.f64`
6238×	`accelerator-lowering-fma.f32`
6238×	`accelerator-lowering-fma.f64`
4248×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1144	11392
1	4111	11225
0	8512	10757

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* 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))
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)))))
(* 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)))))
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)
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)
(* 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))
(* 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)))))
(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) 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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) 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))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (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))))))
(* (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))))))
(* (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))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* 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)))))
(* 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)))))
(* 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))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* -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))))))
(* -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))))))
(* -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))))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))
(* (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)))
(* (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)))
(/ (* (pow z 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))))
(/ (* (pow z 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))))
(/ (* (pow z 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))))
(/ (* (pow z 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))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin 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))))
(+ (* -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)))))
(+ (* -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)))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos 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)
(/ (- (+ (/ (* (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)
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(/ (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))) z)
(-.f64 #s(literal 0 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)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 (cos.f64 y) (.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 2 binary64))))) z))
(/ (- (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 3) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z)
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (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))))))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 (cos.f64 y) (.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 2 binary64))))) z)
(/ (- (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 4) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4))))) (+ (/ (* (pow x 2) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))) (/ (* (pow x 3) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))) z)
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (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))))))) (neg.f64 (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y))) (+.f64 (/.f64 (.f64 (.f64 (cos.f64 y) (.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 2 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (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))))))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z)
(* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (sin y))))
(.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z (sin.f64 y))))
(* -1 (/ (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z))
(-.f64 #s(literal 0 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)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 (cos.f64 y) (.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 2 binary64))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) z))
(-.f64 #s(literal 0 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)))))) (sin.f64 y)) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 (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)))))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 (cos.f64 y) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 3) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* (pow x 2) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) z))
(-.f64 #s(literal 0 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)))))) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (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 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (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)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (.f64 (.f64 (cos.f64 y) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
x
(+ x (* -1 (* x (pow y 2))))
(-.f64 x (.f64 (.f64 y y) x))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+.f64 x (.f64 (.f64 y y) (-.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 y y)) x)))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(+.f64 x (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 (.f64 y y) x) #s(literal -2/45 binary64)) (.f64 x #s(literal 1/3 binary64)))) x)))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))

eval2.4s (12.4%)

Compiler: Compiled 249236 to 119000 computations (52.3% saved)

prune610.0ms (3.2%)

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	3055	25	3080
Fresh	7	4	11
Picked	2	3	5
Done	0	1	1
Total	3064	33	3097

Accuracy

100.0%

Counts

3097 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	56.0%	(fma.f64 z (neg.f64 (/.f64 (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 y) x) (.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 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
	55.4%	(pow.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	32.2%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #s(literal -1/2 binary64))
	44.2%	(/.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 z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	63.3%	(/.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))
	55.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z y) x)))
▶	54.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	43.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	38.1%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
▶	99.4%	(+.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 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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
▶	55.2%	(+.f64 (*.f64 z y) x)
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	65.9%	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	41.3%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/24 binary64)))))))
	41.3%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x)))))
	78.1%	(+.f64 x (*.f64 z (sin.f64 y)))
	54.7%	(+.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))))))))
	54.3%	(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
	41.2%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x)))
	24.9%	(.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)))
	88.3%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
	37.9%	(*.f64 z (sin.f64 y))
▶	63.3%	(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (cos.f64 y))))
	92.8%	(.f64 x (+.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
	41.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
	41.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	63.5%	(*.f64 x (cos.f64 y))
✓	43.3%	x

Compiler

Compiled 1098 to 753 computations (31.4% saved)

localize846.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
✓	cost-diff	6528	(+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (cos.f64 y)))
✓	cost-diff	6528	(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (cos.f64 y))))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
✓	cost-diff	0	(.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
✓	cost-diff	0	(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(+.f64 (*.f64 z y) x)
✓	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 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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (cos.f64 y))
✓	accuracy	99.8%	(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (cos.f64 y))))
✓	accuracy	99.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (cos.f64 y))
✓	accuracy	99.5%	(+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (cos.f64 y)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.9%	(.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))))
✓	accuracy	99.7%	(.f64 #s(literal -1/2 binary64) (.f64 y x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x))))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(+.f64 (*.f64 z y) x)
✓	accuracy	99.8%	(.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)))))))
✓	accuracy	99.7%	(.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	accuracy	99.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))

Rules

5678×	`accelerator-lowering-fma.f32`
5678×	`accelerator-lowering-fma.f64`
2362×	`-lowering-.f32`
2362×	`-lowering-.f64`
1794×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	255
1	93	255
2	213	241
3	422	241
4	962	241
5	2009	241
6	3703	241
7	4986	241
8	6418	241
9	6418	241
10	6418	241
11	6758	241
12	6835	241
13	6861	241
14	6946	241
15	7079	241
16	7205	241
17	7229	241
18	7229	241
19	7229	241
0	7229	221

Stop Event

1×	iter limit
1×	saturated

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

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

Results

313.0ms

256×

valid

Compiler

Compiled 296 to 172 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-mult: 94.0ms (37.1% of total)

ival-cos: 88.0ms (34.7% of total)

ival-add: 27.0ms (10.6% of total)

ival-div: 23.0ms (9.1% of total)

ival-pow: 8.0ms (3.2% of total)

const: 7.0ms (2.8% of total)

ival-sin: 6.0ms (2.4% of total)

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

series70.0ms (0.4%)

Counts

22 → 528

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt 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>
#<alt (* y (+ 1 (* -7/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 61/120 (pow y 2)) 7/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 61/120 (* -547/5040 (pow y 2)))) 7/6))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* y z)>
#<alt (* y (+ z (* -7/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<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 (+ 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 (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (/ 1 (* y z))>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))>
#<alt (+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* (pow y 2) (pow z 2)))))) (* y z))) (* 1/2 (/ 1 (pow z 2)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))>
#<alt (+ (* x (- (+ (* 1/2 (/ 1 (pow z 2))) (* x (- (/ (* x (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* (pow y 2) (pow z 2)))))) (* (pow y 2) (pow z 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* (pow y 2) (pow z 2))))) (* y z))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))>
#<alt (/ 1 (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x)>
#<alt (/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))) x)>
#<alt (/ -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* y z) (* x (pow (- (* 1/2 (pow y 2)) 1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* y z) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow y 2) (pow z 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) x)) (/ (* y z) (pow (- (* 1/2 (pow y 2)) 1) 2))) x)) (/ 1 (- (* 1/2 (pow y 2)) 1))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))>
#<alt (/ -2 (* x (pow y 2)))>
#<alt (/ (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ (pow z 2) (pow x 3)))) (pow y 2))) (+ (* 4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x)))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 2 (/ (* z (+ (* 8 (/ (pow z 2) (pow x 3))) (* 4 (/ 1 x)))) x)) (* 8 (/ z (pow x 2)))) (pow y 3))) (+ (* 4 (/ z (* (pow x 2) y))) (+ (* 8 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* x (pow y 2)))))))) (pow y 2))>
#<alt (/ -2 (* x (pow y 2)))>
#<alt (/ (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (+ (* 8 (/ (pow z 2) (* (pow x 3) y))) (/ 4 (* x y))) (* -4 (/ z (pow x 2)))) y)) (* 2 (/ 1 x))) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ z (* (pow x 2) y))) (* -2 (/ (* z (+ (* 8 (/ (pow z 2) (pow x 3))) (* 4 (/ 1 x)))) (* x y)))) (+ (* 4 (/ 1 x)) (* 8 (/ (pow z 2) (pow x 3))))) y)) (* -4 (/ z (pow x 2)))) y)) (* 2 (/ 1 x))) (pow y 2))>
#<alt (/ 1 (+ x (* -1/2 (* x (pow y 2)))))>
#<alt (+ (* -1 (/ (* y z) (pow (+ x (* -1/2 (* x (pow y 2)))) 2))) (/ 1 (+ x (* -1/2 (* x (pow y 2))))))>
#<alt (+ (* z (- (/ (* (pow y 2) z) (pow (+ x (* -1/2 (* x (pow y 2)))) 3)) (/ y (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2))))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow (+ x (* -1/2 (* x (pow y 2)))) 4))) (* -1 (/ (pow y 2) (pow (+ x (* -1/2 (* x (pow y 2)))) 3))))) (/ y (pow (+ x (* -1/2 (* x (pow y 2)))) 2)))) (/ 1 (+ x (* -1/2 (* x (pow y 2))))))>
#<alt (/ 1 (* y z))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 x) (/ x (pow y 2))) z)) (/ 1 y)) z)>
#<alt (/ (- (+ (/ 1 y) (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 x) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (* -1/2 (/ x z)) (/ x (* (pow y 2) z)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 x) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 x) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (* -1/2 (/ x z)) (/ x (* (pow y 2) z))))) z)>
#<alt (/ 1 (* y z))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ x z)) (/ x (* (pow y 2) z))) (/ 1 y)) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 x) (/ x (pow y 2)))) (* y z)) (+ (* -1/2 x) (/ x (pow y 2)))) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* -1/2 (* x (pow y 2)))) 2) (+ (* -1/2 x) (/ x (pow y 2)))) (* (pow y 2) z)) (/ (* (+ x (* -1/2 (* x (pow y 2)))) (+ (* -1/2 x) (/ x (pow y 2)))) y)) z)) (+ (* -1/2 x) (/ x (pow y 2)))) z)) (/ 1 y)) z))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* 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))))>
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#<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 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)))))>

Calls

132 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* y 2))))))
4.0ms	z	@	0	(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* y 2))))))
2.0ms	y	@	0	(* (sin y) (+ 1/2 (* 1/2 (cos (* y 2)))))
2.0ms	x	@	-inf	(* x (+ (/ 1/2 (cos y)) (/ (* 1/2 (cos (* y 2))) (cos y))))
2.0ms	y	@	0	(* -1/2 (* y x))

rewrite790.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

6898×	`accelerator-lowering-fma.f32`
6898×	`accelerator-lowering-fma.f64`
4724×	`-lowering-.f32`
4724×	`-lowering-.f64`
4622×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	171
1	236	151
2	2197	138
0	8855	128

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1154

Calls

Call 1

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

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

simplify739.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

8482×	`accelerator-lowering-fma.f32`
8482×	`accelerator-lowering-fma.f64`
5854×	`-lowering-.f32`
5854×	`-lowering-.f64`
3774×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	559	6472
1	1825	6346
2	6209	6309
0	8357	5819

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/3 binary64)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y #s(literal -2/45 binary64)))))))))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/3 binary64)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y #s(literal -2/45 binary64)))))))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
y
(* y (+ 1 (* -7/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -7/6 binary64))))
(* y (+ 1 (* (pow y 2) (- (* 61/120 (pow y 2)) 7/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -7/6 binary64) (.f64 (*.f64 y y) #s(literal 61/120 binary64))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 61/120 (* -547/5040 (pow y 2)))) 7/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -7/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 61/120 binary64) (.f64 (*.f64 y y) #s(literal -547/5040 binary64)))))))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* y z)
(*.f64 y z)
(* y (+ z (* -7/6 (* (pow y 2) z))))
(.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -7/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))
(.f64 y (+.f64 z (.f64 y (.f64 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 y (.f64 y (+.f64 (.f64 #s(literal -7/6 binary64) z) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 61/120 binary64) (.f64 (*.f64 y y) #s(literal -547/5040 binary64))))))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (sin.f64 y) z))
x
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(* y z)
(*.f64 y z)
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
x
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(* y z)
(*.f64 y z)
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(+ x (* y z))
(+.f64 (*.f64 y z) x)
x
(* x (+ 1 (/ (* y z) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(* x (+ 1 (/ (* y z) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(* x (+ 1 (/ (* y z) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (/.f64 z x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (/.f64 z x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (/.f64 z x)))))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(+ (* x (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 (*.f64 y y) z))))))
(+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* (pow y 2) (pow z 2)))))) (* y z))) (* 1/2 (/ 1 (pow z 2)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 (.f64 y y) z)))) (.f64 x (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 (.f64 y y) z)))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))) (.f64 y z)))))))
(+ (* x (- (+ (* 1/2 (/ 1 (pow z 2))) (* x (- (/ (* x (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* (pow y 2) (pow z 2)))))) (* (pow y 2) (pow z 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow z 2))) (/ 1 (* (pow y 2) (pow z 2))))) (* y z))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 (.f64 y y) z)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) (/.f64 x (.f64 z (.f64 (.f64 y y) z)))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 (.f64 y y) z)))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))) (.f64 y z))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 (.f64 y y) z)))))))
(/ 1 (* x (+ 1 (* -1/2 (pow y 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(/ (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x)
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) x)
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(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
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(* -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))))))
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(* -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))))))
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(* -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))))))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
x
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+ 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))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/3 binary64) x) (+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/4 binary64))))) (.f64 x #s(literal -1/2 binary64)))))
(+ 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))))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
x
(+ x (* -1 (* x (pow y 2))))
(-.f64 x (.f64 (.f64 y y) x))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+.f64 x (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 y y) x)) x)))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(+.f64 x (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 y y) (.f64 #s(literal -2/45 binary64) x)))) x)))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)
(* y z)
(*.f64 y z)
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(* x (+ 1 (* -1/2 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z x)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z x)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z x)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal 1/2 binary64)))))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 y (/.f64 z x))))))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 y (/.f64 z x))))))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
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x
(+ x (* y z))
(+.f64 (*.f64 y z) x)
(+ 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 (* -1/2 (* x y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(* -1/2 (* x (pow y 2)))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1/2 x) (/ z y)))
(.f64 y (.f64 y (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y))))
(* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y))))
(.f64 (.f64 y y) (+.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 x (.f64 y y))) (/.f64 z y)))
(* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y))))
(.f64 (.f64 y y) (+.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 x (.f64 y y))) (/.f64 z y)))
(* -1/2 (* x (pow y 2)))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1/2 x) (/ z y)))
(.f64 y (.f64 y (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
(+ x (* -1/2 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(* y z)
(*.f64 y z)
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(.f64 z (+.f64 (+.f64 y (/.f64 x z)) (/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64)))) z)))
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(.f64 z (+.f64 (+.f64 y (/.f64 x z)) (/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64)))) z)))
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(.f64 z (+.f64 (+.f64 y (/.f64 x z)) (/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64)))) z)))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(.f64 z (+.f64 y (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(.f64 z (+.f64 y (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(.f64 z (+.f64 y (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) z)))

eval1.0s (5.3%)

Compiler: Compiled 72803 to 47675 computations (34.5% saved)

prune673.0ms (3.5%)

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	2216	26	2242
Fresh	9	15	24
Picked	4	1	5
Done	0	4	4
Total	2229	46	2275

Accuracy

100.0%

Counts

2275 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 z (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #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))))) (sin.f64 y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x))
	99.6%	(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))))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	55.4%	(pow.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	37.7%	(/.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 y (.f64 z (.f64 y z)))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 y z)))
	65.1%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))))
	63.3%	(/.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))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)))
	16.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
▶	40.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
	19.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))))
	2.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 z y) (.f64 x x))) (/.f64 #s(literal -2 binary64) x)) (*.f64 y y)))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))) y) (+.f64 z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
	2.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
	43.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	2.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x)))
	38.1%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
	25.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 y y)))) (-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))))))
✓	55.2%	(+.f64 (*.f64 z y) x)
	54.0%	(+.f64 (.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)))))) (.f64 y z))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	77.9%	(+.f64 x (/.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	41.3%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/24 binary64)))))))
	41.3%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x)))))
	78.1%	(+.f64 x (*.f64 z (sin.f64 y)))
	54.7%	(+.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))))))))
	41.2%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x)))
	63.3%	(.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)))
	34.7%	(.f64 (.f64 (+.f64 (.f64 y z) x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
▶	18.4%	(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
	37.7%	(.f64 (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))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z))
	24.9%	(.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)))
	88.3%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
	37.9%	(*.f64 z (sin.f64 y))
	50.8%	(.f64 y (+.f64 z (.f64 (cos.f64 y) (/.f64 x y))))
	2.9%	(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
▶	16.4%	(*.f64 y z)
▶	52.5%	(.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)))
	63.4%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
	92.8%	(.f64 x (+.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
	41.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
	41.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	49.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
✓	63.5%	(*.f64 x (cos.f64 y))
✓	43.3%	x

Compiler

Compiled 1594 to 1086 computations (31.9% saved)

localize1.7s (8.8%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	64	(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))
✓	cost-diff	64	(.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)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	128	(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 z (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) #s(literal 1/2 binary64))
✓	cost-diff	20096	(fma.f64 (/.f64 z (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #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))))) (sin.f64 y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x))
✓	accuracy	100.0%	(cos.f64 (*.f64 y #s(literal 2 binary64)))
✓	accuracy	99.9%	(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))
✓	accuracy	99.8%	(.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)))
✓	accuracy	99.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	97.3%	(/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	94.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x)
✓	accuracy	93.5%	(*.f64 y (/.f64 z x))
✓	accuracy	82.0%	(/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 z (/.f64 x y))
✓	accuracy	99.9%	(/.f64 (+.f64 z (/.f64 x y)) y)
✓	accuracy	60.2%	(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.8%	(*.f64 (cos.f64 y) x)
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))
✓	accuracy	99.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.6%	(+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))

Rules

15530×	`accelerator-lowering-fma.f32`
15530×	`accelerator-lowering-fma.f64`
3608×	`-lowering-.f32`
3608×	`-lowering-.f64`
3222×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	336
1	89	336
2	197	330
3	652	326
4	2347	312
5	5267	310
0	8039	286

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

780.0ms

256×

valid

Compiler

Compiled 376 to 229 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 713.0ms

ival-cos: 406.0ms (57% of total)

ival-mult: 142.0ms (19.9% of total)

ival-div: 77.0ms (10.8% of total)

ival-add: 36.0ms (5% of total)

ival-pow: 28.0ms (3.9% of total)

const: 10.0ms (1.4% of total)

ival-sin: 5.0ms (0.7% of total)

ival-sub: 3.0ms (0.4% of total)

<compiled-spec>: 3.0ms (0.4% of total)

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

series98.0ms (0.5%)

Counts

25 → 612

Calls

Call 1

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

Outputs
#<alt 2>
#<alt (+ 2 (* -2 (pow y 2)))>
#<alt (+ 2 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 2 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (+ 1 (cos (* 2 y)))>
#<alt (+ 1 (cos (* 2 y)))>
#<alt (+ 1 (cos (* 2 y)))>
#<alt (+ 1 (cos (* 2 y)))>
#<alt (+ 1 (cos (* 2 y)))>
#<alt (+ 1 (cos (* 2 y)))>
#<alt (+ 1 (cos (* 2 y)))>
#<alt (+ 1 (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>
#<alt (* y (+ 1 (* -7/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 61/120 (pow y 2)) 7/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 61/120 (* -547/5040 (pow y 2)))) 7/6))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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 (* 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 (* 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 (* y z)>
#<alt (+ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))) (* y z))>
#<alt (+ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))) (* y z))>
#<alt (+ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))) (* y z))>
#<alt (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/2)))>
#<alt (* x (+ (* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) (/ (* y z) x)))>
#<alt (* x (+ (* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) (/ (* y z) x)))>
#<alt (* x (+ (* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) (/ (* y z) x)))>
#<alt (* -1 (* x (* (pow y 2) (- 1/2 (/ 1 (pow y 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y z) x)) (* (pow y 2) (- 1/2 (/ 1 (pow y 2)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y z) x)) (* (pow y 2) (- 1/2 (/ 1 (pow y 2)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y z) x)) (* (pow y 2) (- 1/2 (/ 1 (pow y 2)))))))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))>
#<alt (+ (* y z) (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))))>
#<alt (+ (* y z) (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))))>
#<alt (+ (* y z) (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))))>
#<alt (* y z)>
#<alt (* z (+ y (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))>
#<alt (* z (+ y (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))>
#<alt (* z (+ y (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))))>
#<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 (/ x y)>
#<alt (+ z (/ x y))>
#<alt (+ z (/ x y))>
#<alt (+ z (/ x y))>
#<alt z>
#<alt (* z (+ 1 (/ x (* y z))))>
#<alt (* z (+ 1 (/ x (* y z))))>
#<alt (* z (+ 1 (/ x (* y z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) 1)))>
#<alt z>
#<alt (+ z (/ x y))>
#<alt (+ z (/ x y))>
#<alt (+ z (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (/ z x)))>
#<alt (* x (+ (/ 1 y) (/ z x)))>
#<alt (* x (+ (/ 1 y) (/ z x)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ z x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* y z)) y)>
#<alt (/ (+ x (* y z)) y)>
#<alt (/ (+ x (* y z)) y)>
#<alt z>
#<alt (+ z (/ x y))>
#<alt (+ z (/ x y))>
#<alt (+ z (/ x y))>
#<alt z>
#<alt (+ z (/ x y))>
#<alt (+ z (/ x y))>
#<alt (+ z (/ x 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 (/ (* y z) x)>
#<alt (* y (+ (* 1/2 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/4 (/ (* (pow y 2) z) x)) (* -1/2 (/ z x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/8 (/ (* (pow y 2) z) x)) (* -1/4 (/ z x)))) (* -1/2 (/ z x)))) (/ z x)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (/ (+ (* -4 (/ z (* x (pow y 2)))) (* -2 (/ z x))) y)>
#<alt (/ (- (+ (* -8 (/ z (* x (pow y 4)))) (* -2 (/ z x))) (* 4 (/ z (* x (pow y 2))))) y)>
#<alt (/ (- (+ (* -16 (/ z (* x (pow y 6)))) (* -2 (/ z x))) (+ (* 4 (/ z (* x (pow y 2)))) (* 8 (/ z (* x (pow y 4)))))) y)>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -1 (/ (+ (* 2 (/ z x)) (* 4 (/ z (* x (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* 2 (/ z x)) (+ (* 4 (/ z (* x (pow y 2)))) (* 8 (/ z (* x (pow y 4)))))) y))>
#<alt (* -1 (/ (+ (* 2 (/ z x)) (+ (* 4 (/ z (* x (pow y 2)))) (+ (* 8 (/ z (* x (pow y 4)))) (* 16 (/ z (* x (pow y 6))))))) y))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))>
#<alt (+ (* y (+ (* -1 (/ z (pow x 2))) (* 1/2 (/ y x)))) (/ 1 x))>
#<alt (+ (* y (+ (* -1 (/ z (pow x 2))) (* y (+ (* -1 (/ (* y z) (pow x 2))) (* 1/2 (/ 1 x)))))) (/ 1 x))>
#<alt (/ -2 (* x (pow y 2)))>
#<alt (/ (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))>
#<alt (/ (- (* -4 (/ z (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 4 (* x (pow y 2))))) (pow y 2))>
#<alt (/ (- (+ (* -16 (/ z (* (pow x 2) (pow y 3)))) (* -4 (/ z (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* x (pow y 2)))))) (pow y 2))>
#<alt (/ -2 (* x (pow y 2)))>
#<alt (/ (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 4 (/ z (pow x 2))) (* 4 (/ 1 (* x y)))) y)) (* 2 (/ 1 x))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* -1 (/ (- (* -16 (/ z (* (pow x 2) y))) (* 4 (/ 1 x))) y)) (* 4 (/ z (pow x 2)))) y)) (* 2 (/ 1 x))) (pow y 2))>
#<alt (/ 1 (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (+ 1 (* -1/2 (pow y 2))))))>
#<alt (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))))>
#<alt (* z (+ (* -1 (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2))))))))>
#<alt (* z (+ (* -1 (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2))))))))>
#<alt (* z (+ (* -1 (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2))))))))>
#<alt (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))))>
#<alt (* -1 (* z (- (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2)))))))))>
#<alt (* -1 (* z (- (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2)))))))))>
#<alt (* -1 (* z (- (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2)))))))))>
#<alt (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))))>
#<alt (/ (+ (* -1 (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ x (+ 1 (* -1/2 (pow y 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ x (+ 1 (* -1/2 (pow y 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ x (+ 1 (* -1/2 (pow y 2))))) (pow x 2))>
#<alt (/ 1 (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x)>
#<alt (/ (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x)>
#<alt (/ (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x)>
#<alt (/ 1 (* x (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* -1 (/ (- (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x))>
#<alt (* -1 (/ (- (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x))>
#<alt (* -1 (/ (- (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x))>
#<alt (/ (* y z) x)>
#<alt (* y (+ (/ z x) (/ (* (pow y 2) z) x)))>
#<alt (* y (+ (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1 (/ z x)) (* 1/4 (/ z x))))) (* -1 (/ z x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1 (/ z x)) (* 1/2 (/ z x))))) (+ (* -1 (/ z x)) (* 1/4 (/ z x))))) (* -1 (/ z x)))) (/ z x)))>
#<alt (* 4 (/ z (* x (pow y 3))))>
#<alt (/ (+ (* 4 (/ z x)) (* 16 (/ z (* x (pow y 2))))) (pow y 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -64 (/ z x)) (* 16 (/ z x))) (pow y 4))) (* 4 (/ z x))) (* -16 (/ z (* x (pow y 2))))) (pow y 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* 4 (+ (* -64 (/ z x)) (* 16 (/ z x)))) (* 64 (/ z x))) (pow y 6))) (* 4 (/ z x))) (+ (* -64 (/ z (* x (pow y 4)))) (+ (* -16 (/ z (* x (pow y 2)))) (* 16 (/ z (* x (pow y 4))))))) (pow y 3))>
#<alt (* 4 (/ z (* x (pow y 3))))>
#<alt (* -1 (/ (+ (* -16 (/ z (* x (pow y 2)))) (* -4 (/ z x))) (pow y 3)))>
#<alt (* -1 (/ (+ (* -64 (/ z (* x (pow y 4)))) (+ (* -16 (/ z (* x (pow y 2)))) (+ (* -4 (/ z x)) (* 16 (/ z (* x (pow y 4))))))) (pow y 3)))>
#<alt (* -1 (/ (+ (* -64 (/ z (* x (pow y 4)))) (+ (* -16 (/ z (* x (pow y 2)))) (+ (* -4 (/ z x)) (+ (* 4 (/ (+ (* -64 (/ z x)) (* 16 (/ z x))) (pow y 6))) (+ (* 16 (/ z (* x (pow y 4)))) (* 64 (/ z (* x (pow y 6))))))))) (pow y 3)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
#<alt (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))>
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#<alt (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* 1/4 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/4 (* 1/8 (pow y 2)))))))>
#<alt (/ -2 (pow y 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 (pow y 2)))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow y 2)))) (pow y 2))) 2) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow y 2)))) (pow y 4))) (+ 2 (* 4 (/ 1 (pow y 2))))) (pow y 2))>
#<alt (/ -2 (pow y 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 (pow y 2)))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow y 2)))) (pow y 2))) 2) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow y 2)))) (pow y 4))) (+ 2 (* 4 (/ 1 (pow y 2))))) (pow y 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>

Calls

153 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	(/ (* y (/ z x)) (+ 1 (* y (* y -1/2))))
4.0ms	y	@	0	(* 1/2 (cos (* y 2)))
3.0ms	z	@	inf	(/ (- (/ 1 (+ 1 (* y (* y -1/2)))) (/ (/ (* y (/ z x)) (+ 1 (* y (* y -1/2)))) (+ 1 (* y (* y -1/2))))) x)
2.0ms	y	@	inf	(/ z (+ (cos (* y 2)) 1))
1.0ms	z	@	0	(/ (- (/ 1 (+ 1 (* y (* y -1/2)))) (/ (/ (* y (/ z x)) (+ 1 (* y (* y -1/2)))) (+ 1 (* y (* y -1/2))))) x)

rewrite623.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

6320×	`-lowering-.f32`
6320×	`-lowering-.f64`
4094×	`/-lowering-/.f32`
4094×	`/-lowering-/.f64`
2494×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	277
1	250	269
2	2438	241
0	9074	229

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 607

Calls

Call 1

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

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

simplify796.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

9546×	`accelerator-lowering-fma.f32`
9546×	`accelerator-lowering-fma.f64`
7188×	`-lowering-.f32`
7188×	`-lowering-.f64`
3312×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	796	8253
1	2579	8125
0	8433	7594

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

Inputs
2
(+ 2 (* -2 (pow y 2)))
(+ 2 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(+ 1 (cos (* 2 y)))
(+ 1 (cos (* 2 y)))
(+ 1 (cos (* 2 y)))
(+ 1 (cos (* 2 y)))
(+ 1 (cos (* 2 y)))
(+ 1 (cos (* 2 y)))
(+ 1 (cos (* 2 y)))
(+ 1 (cos (* 2 y)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
y
(* y (+ 1 (* -7/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 61/120 (pow y 2)) 7/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 61/120 (* -547/5040 (pow y 2)))) 7/6))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (sin y) (+ 1/2 (* 1/2 (cos (* 2 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))
(* 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))
(* 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)))
(* y z)
(+ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))) (* y z))
(+ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))) (* y z))
(+ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/2))) (* y z))
(* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/2)))
(* x (+ (* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) (/ (* y z) x)))
(* x (+ (* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) (/ (* y z) x)))
(* x (+ (* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) (/ (* y z) x)))
(* -1 (* x (* (pow y 2) (- 1/2 (/ 1 (pow y 2))))))
(* -1 (* x (+ (* -1 (/ (* y z) x)) (* (pow y 2) (- 1/2 (/ 1 (pow y 2)))))))
(* -1 (* x (+ (* -1 (/ (* y z) x)) (* (pow y 2) (- 1/2 (/ 1 (pow y 2)))))))
(* -1 (* x (+ (* -1 (/ (* y z) x)) (* (pow y 2) (- 1/2 (/ 1 (pow y 2)))))))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(+ (* y z) (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))))
(+ (* y z) (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))))
(+ (* y z) (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))))
(* y z)
(* z (+ y (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))
(* z (+ y (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))
(* z (+ y (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) z)))))
(/ x (pow y 2))
(+ (/ x (pow y 2)) (/ z y))
(+ (/ x (pow y 2)) (/ z y))
(+ (/ x (pow y 2)) (/ z y))
(/ z y)
(* z (+ (/ 1 y) (/ x (* (pow y 2) z))))
(* z (+ (/ 1 y) (/ x (* (pow y 2) z))))
(* z (+ (/ 1 y) (/ x (* (pow y 2) z))))
(/ z y)
(* -1 (* z (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y))))
(* -1 (* z (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y))))
(* -1 (* z (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y))))
(/ z y)
(+ (/ x (pow y 2)) (/ z y))
(+ (/ x (pow y 2)) (/ z y))
(+ (/ x (pow y 2)) (/ z y))
(/ x (pow y 2))
(* x (+ (/ 1 (pow y 2)) (/ z (* x y))))
(* x (+ (/ 1 (pow y 2)) (/ z (* x y))))
(* x (+ (/ 1 (pow y 2)) (/ z (* x y))))
(/ x (pow y 2))
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 (pow y 2)))))
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 (pow y 2)))))
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* y z)) (pow y 2))
(/ (+ x (* y z)) (pow y 2))
(/ (+ x (* y z)) (pow y 2))
(/ z y)
(/ (+ z (/ x y)) y)
(/ (+ z (/ x y)) y)
(/ (+ z (/ x y)) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y))
(/ x y)
(+ z (/ x y))
(+ z (/ x y))
(+ z (/ x y))
z
(* z (+ 1 (/ x (* y z))))
(* z (+ 1 (/ x (* y z))))
(* z (+ 1 (/ x (* y z))))
z
(* -1 (* z (- (* -1 (/ x (* y z))) 1)))
(* -1 (* z (- (* -1 (/ x (* y z))) 1)))
(* -1 (* z (- (* -1 (/ x (* y z))) 1)))
z
(+ z (/ x y))
(+ z (/ x y))
(+ z (/ x y))
(/ x y)
(* x (+ (/ 1 y) (/ z x)))
(* x (+ (/ 1 y) (/ z x)))
(* x (+ (/ 1 y) (/ z x)))
(/ x y)
(* -1 (* x (- (* -1 (/ z x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ z x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ z x)) (/ 1 y))))
(/ x y)
(/ (+ x (* y z)) y)
(/ (+ x (* y z)) y)
(/ (+ x (* y z)) y)
z
(+ z (/ x y))
(+ z (/ x y))
(+ z (/ x y))
z
(+ z (/ x y))
(+ z (/ x y))
(+ z (/ x y))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(/ (* y z) x)
(* y (+ (* 1/2 (/ (* (pow y 2) z) x)) (/ z x)))
(* y (+ (* (pow y 2) (- (* 1/4 (/ (* (pow y 2) z) x)) (* -1/2 (/ z x)))) (/ z x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/8 (/ (* (pow y 2) z) x)) (* -1/4 (/ z x)))) (* -1/2 (/ z x)))) (/ z x)))
(* -2 (/ z (* x y)))
(/ (+ (* -4 (/ z (* x (pow y 2)))) (* -2 (/ z x))) y)
(/ (- (+ (* -8 (/ z (* x (pow y 4)))) (* -2 (/ z x))) (* 4 (/ z (* x (pow y 2))))) y)
(/ (- (+ (* -16 (/ z (* x (pow y 6)))) (* -2 (/ z x))) (+ (* 4 (/ z (* x (pow y 2)))) (* 8 (/ z (* x (pow y 4)))))) y)
(* -2 (/ z (* x y)))
(* -1 (/ (+ (* 2 (/ z x)) (* 4 (/ z (* x (pow y 2))))) y))
(* -1 (/ (+ (* 2 (/ z x)) (+ (* 4 (/ z (* x (pow y 2)))) (* 8 (/ z (* x (pow y 4)))))) y))
(* -1 (/ (+ (* 2 (/ z x)) (+ (* 4 (/ z (* x (pow y 2)))) (+ (* 8 (/ z (* x (pow y 4)))) (* 16 (/ z (* x (pow y 6))))))) y))
(/ (* 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)))))
(/ (* 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)))))
(/ (* 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)))))
(/ (* 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)))))
(/ (* 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)))))
(/ (* 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)))))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (+ (* -1 (/ z (pow x 2))) (* 1/2 (/ y x)))) (/ 1 x))
(+ (* y (+ (* -1 (/ z (pow x 2))) (* y (+ (* -1 (/ (* y z) (pow x 2))) (* 1/2 (/ 1 x)))))) (/ 1 x))
(/ -2 (* x (pow y 2)))
(/ (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))
(/ (- (* -4 (/ z (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 4 (* x (pow y 2))))) (pow y 2))
(/ (- (+ (* -16 (/ z (* (pow x 2) (pow y 3)))) (* -4 (/ z (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* x (pow y 2)))))) (pow y 2))
(/ -2 (* x (pow y 2)))
(/ (- (* -4 (/ z (* (pow x 2) y))) (* 2 (/ 1 x))) (pow y 2))
(/ (- (* -1 (/ (+ (* 4 (/ z (pow x 2))) (* 4 (/ 1 (* x y)))) y)) (* 2 (/ 1 x))) (pow y 2))
(/ (- (* -1 (/ (+ (* -1 (/ (- (* -16 (/ z (* (pow x 2) y))) (* 4 (/ 1 x))) y)) (* 4 (/ z (pow x 2)))) y)) (* 2 (/ 1 x))) (pow y 2))
(/ 1 (* x (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (+ 1 (* -1/2 (pow y 2))))))
(+ (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (+ 1 (* -1/2 (pow y 2))))))
(+ (* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (+ 1 (* -1/2 (pow y 2))))))
(* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))))
(* z (+ (* -1 (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2))))))))
(* z (+ (* -1 (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2))))))))
(* z (+ (* -1 (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2))))))))
(* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))))
(* -1 (* z (- (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2)))))))))
(* -1 (* z (- (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2)))))))))
(* -1 (* z (- (/ y (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (* x (* z (+ 1 (* -1/2 (pow y 2)))))))))
(* -1 (/ (* y z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))))
(/ (+ (* -1 (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ x (+ 1 (* -1/2 (pow y 2))))) (pow x 2))
(/ (+ (* -1 (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ x (+ 1 (* -1/2 (pow y 2))))) (pow x 2))
(/ (+ (* -1 (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ x (+ 1 (* -1/2 (pow y 2))))) (pow x 2))
(/ 1 (* x (+ 1 (* -1/2 (pow y 2)))))
(/ (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x)
(/ (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x)
(/ (+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x)
(/ 1 (* x (+ 1 (* -1/2 (pow y 2)))))
(* -1 (/ (- (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x))
(* -1 (/ (- (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x))
(* -1 (/ (- (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) x))
(/ (* y z) x)
(* y (+ (/ z x) (/ (* (pow y 2) z) x)))
(* y (+ (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1 (/ z x)) (* 1/4 (/ z x))))) (* -1 (/ z x)))) (/ z x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1 (/ z x)) (* 1/2 (/ z x))))) (+ (* -1 (/ z x)) (* 1/4 (/ z x))))) (* -1 (/ z x)))) (/ z x)))
(* 4 (/ z (* x (pow y 3))))
(/ (+ (* 4 (/ z x)) (* 16 (/ z (* x (pow y 2))))) (pow y 3))
(/ (- (+ (* -1 (/ (+ (* -64 (/ z x)) (* 16 (/ z x))) (pow y 4))) (* 4 (/ z x))) (* -16 (/ z (* x (pow y 2))))) (pow y 3))
(/ (- (+ (* -1 (/ (+ (* 4 (+ (* -64 (/ z x)) (* 16 (/ z x)))) (* 64 (/ z x))) (pow y 6))) (* 4 (/ z x))) (+ (* -64 (/ z (* x (pow y 4)))) (+ (* -16 (/ z (* x (pow y 2)))) (* 16 (/ z (* x (pow y 4))))))) (pow y 3))
(* 4 (/ z (* x (pow y 3))))
(* -1 (/ (+ (* -16 (/ z (* x (pow y 2)))) (* -4 (/ z x))) (pow y 3)))
(* -1 (/ (+ (* -64 (/ z (* x (pow y 4)))) (+ (* -16 (/ z (* x (pow y 2)))) (+ (* -4 (/ z x)) (* 16 (/ z (* x (pow y 4))))))) (pow y 3)))
(* -1 (/ (+ (* -64 (/ z (* x (pow y 4)))) (+ (* -16 (/ z (* x (pow y 2)))) (+ (* -4 (/ z x)) (+ (* 4 (/ (+ (* -64 (/ z x)) (* 16 (/ z x))) (pow y 6))) (+ (* 16 (/ z (* x (pow y 4)))) (* 64 (/ z (* x (pow y 6))))))))) (pow y 3)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
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(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
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(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (sqrt (+ 1/2 (* 1/2 (cos (* 2 y))))))
1
(+ 1 (* -1/2 (pow y 2)))
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(sqrt (+ 1/2 (* 1/2 (cos (* 2 y)))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 y)))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 y)))))
(sqrt (+ 1/2 (* 1/2 (cos (* 2 y)))))
1
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(cos (* 2 y))
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(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
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(* z (+ (* 2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ 1 (cos (* 2 y))))) (/ (* x (cos y)) z)))
(* z (+ (* 2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ 1 (cos (* 2 y))))) (/ (* x (cos y)) z)))
(* z (+ (* 2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ 1 (cos (* 2 y))))) (/ (* x (cos y)) z)))
(* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y)))))
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x
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(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y)))))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(+ (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ 1 (cos (* 2 y))))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ 1 (cos (* 2 y))))))))
(* x (+ (cos y) (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ 1 (cos (* 2 y))))))))
(* x (+ (cos y) (* 2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ 1 (cos (* 2 y))))))))
(* x (cos y))
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(* -1 (* x (+ (* -2 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ 1 (cos (* 2 y)))))) (* -1 (cos y)))))
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(* 2 y)
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(* 2 (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* 2 (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* 2 (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
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(* 2 (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
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(/ z (+ 1 (cos (* 2 y))))
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(/ z (+ 1 (cos (* 2 y))))
(/ z (+ 1 (cos (* 2 y))))
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(* 1/2 z)
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(+ (* 1/2 z) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/2 z) (+ (* -1/45 z) (* 1/3 z))))) (+ (* -1/2 z) (* 1/6 z)))) (* -1/2 z))))
(/ z (+ 1 (cos (* 2 y))))
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(/ z (+ 1 (cos (* 2 y))))
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(/ z (+ 1 (cos (* 2 y))))
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(pow y 2)
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(* x (- (/ 1 (pow y 2)) 1/2))
(* x (- (+ (/ 1 (pow y 2)) (/ z (* x y))) 1/2))
(* x (- (+ (/ 1 (pow y 2)) (/ z (* x y))) 1/2))
(* x (- (+ (/ 1 (pow y 2)) (/ z (* x y))) 1/2))
(* -1 (* x (- 1/2 (/ 1 (pow y 2)))))
(* -1 (* x (- (+ 1/2 (* -1 (/ z (* x y)))) (/ 1 (pow y 2)))))
(* -1 (* x (- (+ 1/2 (* -1 (/ z (* x y)))) (/ 1 (pow y 2)))))
(* -1 (* x (- (+ 1/2 (* -1 (/ z (* x y)))) (/ 1 (pow y 2)))))
(+ (* -1/2 x) (/ x (pow y 2)))
(+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))
(+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))
(+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))
(/ z y)
(* z (+ (* -1/2 (/ x z)) (+ (/ 1 y) (/ x (* (pow y 2) z)))))
(* z (+ (* -1/2 (/ x z)) (+ (/ 1 y) (/ x (* (pow y 2) z)))))
(* z (+ (* -1/2 (/ x z)) (+ (/ 1 y) (/ x (* (pow y 2) z)))))
(/ z y)
(* -1 (* z (- (* -1 (/ (+ (* -1/2 x) (/ x (pow y 2))) z)) (/ 1 y))))
(* -1 (* z (- (* -1 (/ (+ (* -1/2 x) (/ x (pow y 2))) z)) (/ 1 y))))
(* -1 (* z (- (* -1 (/ (+ (* -1/2 x) (/ x (pow y 2))) z)) (/ 1 y))))
(/ x (pow y 2))
(/ (+ x (* y z)) (pow y 2))
(/ (+ x (* y (+ z (* -1/2 (* x y))))) (pow y 2))
(/ (+ x (* y (+ z (* -1/2 (* x y))))) (pow y 2))
(* -1/2 x)
(+ (* -1/2 x) (/ z y))
(+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))
(+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))
(* -1/2 x)
(+ (* -1/2 x) (/ z y))
(+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x))
(+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x))
x
(+ x (* y z))
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (* 1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 z) (+ (* 1/2 z) (/ (* z (+ (* -1 (/ (pow z 2) x)) (* 1/2 x))) x))))) (+ (* -1 (/ (pow z 2) x)) (* 1/2 x)))) (* -1 z))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ z y)))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 x) (* 2 (/ (pow z 2) x))) (pow y 2))) (* -1/2 x)) (* -1 (/ z y))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -4 z) (+ (* -2 (/ (* z (+ (* -1 x) (* 2 (/ (pow z 2) x)))) x)) (* 2 z))) (pow y 3))) (* -1/2 x)) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ z y)) (* 2 (/ (pow z 2) (* x (pow y 2))))))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ z y)))
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ x y)) (* 2 (/ (pow z 2) (* x y)))) z) y)) (* -1/2 x)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ z y)) (+ (* 2 (/ (* z (+ (* -1 x) (* 2 (/ (pow z 2) x)))) (* x y))) (* 4 (/ z y)))) (+ (* -1 x) (* 2 (/ (pow z 2) x)))) y)) z) y)) (* -1/2 x)))
(* x (+ 1 (* -1/2 (pow y 2))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* z (- (/ (* (pow y 2) z) (* x (+ 1 (* -1/2 (pow y 2))))) (* -1 y))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* z (- (* z (- (/ (* (pow y 3) z) (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2))) (* -1 (/ (pow y 2) (* x (+ 1 (* -1/2 (pow y 2)))))))) (* -1 y))))
(* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) (* y z)))
(/ (+ (* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) y)) (* -1 (/ (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 3)) (* (pow y 2) z)))) z)
(/ (- (+ (* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) y)) (* -1 (/ (* (pow x 4) (pow (+ 1 (* -1/2 (pow y 2))) 4)) (* (pow y 3) (pow z 2))))) (/ (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 3)) (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) y)) (* -1 (/ (* (pow x 5) (pow (+ 1 (* -1/2 (pow y 2))) 5)) (* (pow y 4) (pow z 3))))) (+ (/ (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 3)) (* (pow y 2) z)) (/ (* (pow x 4) (pow (+ 1 (* -1/2 (pow y 2))) 4)) (* (pow y 3) (pow z 2))))) z)
(* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) (* y z)))
(* -1 (/ (+ (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) y) (/ (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 3)) (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (+ 1 (* -1/2 (pow y 2))) 4)) (* (pow y 3) z))) (/ (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 3)) (pow y 2))) z)) (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (+ 1 (* -1/2 (pow y 2))) 5)) (* (pow y 4) z)) (* -1 (/ (* (pow x 4) (pow (+ 1 (* -1/2 (pow y 2))) 4)) (pow y 3)))) z)) (/ (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 3)) (pow y 2))) z)) (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) y)) z))
(* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 (pow y 2))) 2)) (* y z)))
(* (pow x 2) (+ (* -1 (/ (* x (pow (+ 1 (* -1/2 (pow y 2))) 3)) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow (+ 1 (* -1/2 (pow y 2))) 2) (* y z)))))
(* (pow x 2) (+ (* -1 (/ (pow (+ 1 (* -1/2 (pow y 2))) 2) (* y z))) (* x (- (* -1 (/ (* x (pow (+ 1 (* -1/2 (pow y 2))) 4)) (* (pow y 3) (pow z 3)))) (/ (pow (+ 1 (* -1/2 (pow y 2))) 3) (* (pow y 2) (pow z 2)))))))
(* (pow x 2) (+ (* -1 (/ (pow (+ 1 (* -1/2 (pow y 2))) 2) (* y z))) (* x (- (* x (- (* -1 (/ (* x (pow (+ 1 (* -1/2 (pow y 2))) 5)) (* (pow y 4) (pow z 4)))) (/ (pow (+ 1 (* -1/2 (pow y 2))) 4) (* (pow y 3) (pow z 3))))) (/ (pow (+ 1 (* -1/2 (pow y 2))) 3) (* (pow y 2) (pow z 2)))))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(* x (- (+ 1 (+ (* -1/2 (pow y 2)) (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (+ 1 (* -1/2 (pow y 2))))))) (* -1 (/ (* y z) x))))
(* x (- (+ 1 (+ (* -1/2 (pow y 2)) (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (+ 1 (* -1/2 (pow y 2))) 2))))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (+ 1 (* -1/2 (pow y 2)))))))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* -1 (* x (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) (* x (+ 1 (* -1/2 (pow y 2))))) (* -1 (* y z))) x)))))
(* -1 (* x (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ (* (pow y 2) (pow z 2)) (+ 1 (* -1/2 (pow y 2))))) x)) (* -1 (* y z))) x)))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* 1/2 y) (/ z x))))
(+ 1 (* y (- (* y (+ 1/2 (* -1 (/ (* y z) x)))) (/ z x))))
(/ -2 (pow y 2))
(/ (- (* -4 (/ z (* x y))) 2) (pow y 2))
(/ (- (* -1 (/ (+ (* 4 (/ z x)) (* 4 (/ 1 y))) y)) 2) (pow y 2))
(/ (- (* -16 (/ z (* x (pow y 3)))) (+ 2 (+ (* 4 (/ z (* x y))) (/ 4 (pow y 2))))) (pow y 2))
(/ -2 (pow y 2))
(/ (- (* -4 (/ z (* x y))) 2) (pow y 2))
(/ (- (* -1 (/ (- (* 4 (/ 1 y)) (* -4 (/ z x))) y)) 2) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ z (* x y))) 4) y)) (* -4 (/ z x))) y)) 2) (pow y 2))
(/ 1 (+ 1 (* -1/2 (pow y 2))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
(* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))
(* z (- (/ 1 (* z (+ 1 (* -1/2 (pow y 2))))) (/ y (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))))
(* z (- (/ 1 (* z (+ 1 (* -1/2 (pow y 2))))) (/ y (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))))
(* z (- (/ 1 (* z (+ 1 (* -1/2 (pow y 2))))) (/ y (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))))
(* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))
(* z (+ (* -1 (/ y (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))))
(* z (+ (* -1 (/ y (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))))
(* z (+ (* -1 (/ y (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))))
(* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2))))
(/ (- (/ x (+ 1 (* -1/2 (pow y 2)))) (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) x)
(/ (- (/ x (+ 1 (* -1/2 (pow y 2)))) (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) x)
(/ (- (/ x (+ 1 (* -1/2 (pow y 2)))) (/ (* y z) (pow (+ 1 (* -1/2 (pow y 2))) 2))) x)
(/ 1 (+ 1 (* -1/2 (pow y 2))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
(/ 1 (+ 1 (* -1/2 (pow y 2))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (* y z) (* x (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/4 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/4 (* 1/8 (pow y 2)))))))
(/ -2 (pow y 2))
(* -1 (/ (+ 2 (* 4 (/ 1 (pow y 2)))) (pow y 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow y 2)))) (pow y 2))) 2) (pow y 2))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow y 2)))) (pow y 4))) (+ 2 (* 4 (/ 1 (pow y 2))))) (pow y 2))
(/ -2 (pow y 2))
(* -1 (/ (+ 2 (* 4 (/ 1 (pow y 2)))) (pow y 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow y 2)))) (pow y 2))) 2) (pow y 2))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow y 2)))) (pow y 4))) (+ 2 (* 4 (/ 1 (pow y 2))))) (pow y 2))
1/2
(+ 1/2 (* -1 (pow y 2)))
(+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))
(* 1/2 (cos (* 2 y)))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -2 (pow y 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))
(+ 2 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 2/3 binary64)) #s(literal -2 binary64))))
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (+.f64 #s(literal 2/3 binary64) (.f64 y (.f64 y #s(literal -4/45 binary64)))))) #s(literal -2 binary64))))
(+ 1 (cos (* 2 y)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))
(+ 1 (cos (* 2 y)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))
(+ 1 (cos (* 2 y)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))
(+ 1 (cos (* 2 y)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))
(+ 1 (cos (* 2 y)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))
(+ 1 (cos (* 2 y)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))
(+ 1 (cos (* 2 y)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))
(+ 1 (cos (* 2 y)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/3 binary64) (.f64 y (.f64 y #s(literal -2/45 binary64))))) #s(literal -1 binary64))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))
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(.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(* 1/2 (cos (* 2 y)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(* 1/2 (cos (* 2 y)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(* 1/2 (cos (* 2 y)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(* 1/2 (cos (* 2 y)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(* 1/2 (cos (* 2 y)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(* 1/2 (cos (* 2 y)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))

eval418.0ms (2.2%)

Compiler: Compiled 43055 to 25898 computations (39.8% saved)

prune295.0ms (1.5%)

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	1286	19	1305
Fresh	4	32	36
Picked	4	1	5
Done	0	5	5
Total	1294	57	1351

Accuracy

100.0%

Counts

1351 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.0%	(fma.f64 (/.f64 z (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #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))))) (sin.f64 y)) #s(literal 1/2 binary64)) x)
	99.6%	(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))))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	55.4%	(pow.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	37.7%	(/.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 y (.f64 z (.f64 y z)))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 y z)))
	65.1%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))))
	63.3%	(/.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))
	3.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y x)) #s(literal -2 binary64)) (*.f64 y y)) x))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)))
	16.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
	2.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) x))
	40.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))))) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) z)) x))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (/.f64 (.f64 #s(literal 1/4 binary64) z) x)) (/.f64 (.f64 #s(literal 1/2 binary64) z) x)))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
	40.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (*.f64 y z) x)) x))
	40.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) x))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x))
	19.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))))
	2.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 z y) (.f64 x x))) (/.f64 #s(literal -2 binary64) x)) (*.f64 y y)))
	39.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) x))
	40.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 y x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))))) x))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))) y) (+.f64 z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
	43.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	2.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 y (.f64 y x))))
	38.1%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
✓	55.2%	(+.f64 (*.f64 z y) x)
	54.0%	(+.f64 (.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)))))) (.f64 y z))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	77.9%	(+.f64 x (/.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	41.3%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
	41.3%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/24 binary64)))))))
	78.1%	(+.f64 x (*.f64 z (sin.f64 y)))
	54.7%	(+.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))))))))
	41.2%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x)))
	63.3%	(.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)))
	34.7%	(.f64 (.f64 (+.f64 (.f64 y z) x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
	17.8%	(.f64 (.f64 y (.f64 y x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
	8.7%	(.f64 (.f64 y y) (/.f64 z y))
	12.3%	(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
	18.4%	(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (/.f64 x y))))))
	2.9%	(.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64)))
	52.5%	(.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)
	37.7%	(.f64 (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))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z))
	24.9%	(.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)))
	88.3%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
	37.9%	(*.f64 z (sin.f64 y))
	50.8%	(.f64 y (+.f64 z (.f64 (cos.f64 y) (/.f64 x y))))
	2.9%	(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
✓	16.4%	(*.f64 y z)
	63.4%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
	92.8%	(.f64 x (+.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
	41.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
	41.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	49.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
✓	63.5%	(*.f64 x (cos.f64 y))
✓	43.3%	x

Compiler

Compiled 2705 to 1598 computations (40.9% saved)

regimes145.0ms (0.8%)

Counts

87 → 1

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 z y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 y y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 y (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) x))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(.f64 (.f64 y (.f64 y x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (/.f64 x y))))))
(+.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))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y x)) #s(literal -2 binary64)) (*.f64 y y)) x))
(.f64 (.f64 (+.f64 (.f64 y z) x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 (.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)))))) (.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 z y) (.f64 x x))) (/.f64 #s(literal -2 binary64) x)) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (*.f64 y z) x)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))) y) (+.f64 z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 y x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) z)) x))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))))) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 y y)))) (-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (/.f64 (.f64 #s(literal 1/4 binary64) z) x)) (/.f64 (.f64 #s(literal 1/2 binary64) z) x)))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) x))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)))
(.f64 y (+.f64 z (.f64 (cos.f64 y) (/.f64 x 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 (.f64 x (cos.f64 y)) z)))
(.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)
(.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 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) 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 y (.f64 z (.f64 y z)))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 y z)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (cos.f64 y))))
(pow.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (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))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z))
(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))))
(+.f64 x (/.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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
(fma.f64 (/.f64 z (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #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))))) (sin.f64 y)) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 x (.f64 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 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 x (.f64 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)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 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))))))))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #s(literal -1/2 binary64))
(fma.f64 (/.f64 z (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #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))))) (sin.f64 y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x))
(+.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 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))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fma.f64 z (neg.f64 (/.f64 (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 y) x) (.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 (cos.f64 y) x) (*.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)))) (-.f64 #s(literal 0 binary64) (.f64 (.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 (.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)))) (-.f64 #s(literal 0 binary64) (.f64 (.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 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (.f64 (sin.f64 y) (.f64 z (-.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))))

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

Calls

4 calls:

55.0ms	y
31.0ms	x
26.0ms	z
24.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 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)

regimes146.0ms (0.8%)

Counts

55 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 z y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 y y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 y (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) x))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(.f64 (.f64 y (.f64 y x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (/.f64 x y))))))
(+.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))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y x)) #s(literal -2 binary64)) (*.f64 y y)) x))
(.f64 (.f64 (+.f64 (.f64 y z) x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 (.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)))))) (.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 z y) (.f64 x x))) (/.f64 #s(literal -2 binary64) x)) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (*.f64 y z) x)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))) y) (+.f64 z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 y x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) z)) x))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))))) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 y y)))) (-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (/.f64 (.f64 #s(literal 1/4 binary64) z) x)) (/.f64 (.f64 #s(literal 1/2 binary64) z) x)))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) x))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)))
(.f64 y (+.f64 z (.f64 (cos.f64 y) (/.f64 x y))))

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

Calls

3 calls:

50.0ms	z
49.0ms	y
40.0ms	x

Results

Accuracy	Segments	Branch
88.8%	3	`x`
85.1%	6	`y`
88.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes126.0ms (0.7%)

Counts

48 → 5

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 z y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 y y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 y (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) x))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(.f64 (.f64 y (.f64 y x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (/.f64 x y))))))
(+.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))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y x)) #s(literal -2 binary64)) (*.f64 y y)) x))
(.f64 (.f64 (+.f64 (.f64 y z) x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 (.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)))))) (.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 z y) (.f64 x x))) (/.f64 #s(literal -2 binary64) x)) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (*.f64 y z) x)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))) y) (+.f64 z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 y x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) z)) x))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))))) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 y y)))) (-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (/.f64 (.f64 #s(literal 1/4 binary64) z) x)) (/.f64 (.f64 #s(literal 1/2 binary64) z) x)))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) x))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))

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

Calls

3 calls:

43.0ms	z
42.0ms	y
34.0ms	x

Results

Accuracy	Segments	Branch
81.9%	5	`y`
79.4%	5	`z`
79.0%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (0.2%)

Counts

47 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 z y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 y y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 y (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) x))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(.f64 (.f64 y (.f64 y x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (/.f64 x y))))))
(+.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))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y x)) #s(literal -2 binary64)) (*.f64 y y)) x))
(.f64 (.f64 (+.f64 (.f64 y z) x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 (.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)))))) (.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 z y) (.f64 x x))) (/.f64 #s(literal -2 binary64) x)) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (*.f64 y z) x)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))) y) (+.f64 z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 y x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) z)) x))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))))) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 y y)))) (-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (/.f64 (.f64 #s(literal 1/4 binary64) z) x)) (/.f64 (.f64 #s(literal 1/2 binary64) z) x)))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) x))
(*.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 y (*.f64 z #s(literal -1/6 binary64))))))))
(*.f64 x (cos.f64 y))

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
76.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes43.0ms (0.2%)

Counts

46 → 1

Calls

Call 1

Inputs
x
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 z y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 y y) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 y (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) x))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(.f64 (.f64 y (.f64 y x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 z (/.f64 x y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))))
(.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (/.f64 x y))))))
(+.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))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y x)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 z #s(literal -4 binary64)) (.f64 y x)) #s(literal -2 binary64)) (*.f64 y y)) x))
(.f64 (.f64 (+.f64 (.f64 y z) x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))
(+.f64 (.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)))))) (.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 z y) (.f64 x x))) (/.f64 #s(literal -2 binary64) x)) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (*.f64 y z) x)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 (-.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))) y) (+.f64 z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (-.f64 x (.f64 y z)))) (+.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 y (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 y x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) z)) x))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))))) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 y y)))) (-.f64 x (.f64 y (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 y (+.f64 (/.f64 z x) (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (/.f64 (.f64 #s(literal 1/4 binary64) z) x)) (/.f64 (.f64 #s(literal 1/2 binary64) z) x)))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) x))

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

Calls

3 calls:

14.0ms	z
14.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
55.2%	1	`x`
55.2%	1	`z`
55.2%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
x
(*.f64 y z)
x

Calls

3 calls:

5.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
48.4%	3	`x`
45.9%	2	`z`
45.2%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	x
0.0ms	z

Results

Accuracy	Segments	Branch
43.3%	1	`z`
43.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch45.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	11740499204.47411	2.1026479947651632e+23
16.0ms	-2.3137706920673146e+82	-2.1969922145570897e+80

Results

34.0ms

272×

valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 13.0ms (51.5% of total)

ival-sin: 6.0ms (23.8% of total)

ival-mult: 4.0ms (15.8% of total)

ival-add: 1.0ms (4% of total)

const: 0.0ms (0% of total)

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

bsearch86.0ms (0.4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	7.702058325570221e-10	0.04004163806654263
18.0ms	-79.57110275115441	-7.688878234402206e-7
17.0ms	-49342883.86086697	-3894875.792326833
20.0ms	-4.7961712369781746e+91	-1.2039549877397115e+89

Results

60.0ms

512×

valid

Compiler

Compiled 764 to 541 computations (29.2% saved)

Precisions

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

ival-sin: 14.0ms (37.1% of total)

ival-cos: 13.0ms (34.4% of total)

ival-mult: 8.0ms (21.2% of total)

ival-add: 2.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7.702058325570221e-10	0.04004163806654263
15.0ms	-49342883.86086697	-3894875.792326833

Results

24.0ms

240×

valid

Compiler

Compiled 453 to 313 computations (30.9% saved)

Precisions

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

ival-mult: 6.0ms (36% of total)

ival-cos: 5.0ms (30% of total)

ival-sin: 5.0ms (30% of total)

ival-add: 1.0ms (6% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.848914808020219e-184	3.3775004777702844e-179
14.0ms	-4.57070271257806e-181	-5.78099346759156e-182

Results

23.0ms

224×

valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 5.0ms (34% of total)

ival-sin: 5.0ms (34% of total)

ival-mult: 3.0ms (20.4% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 135 to 61 computations (54.8% saved)

preprocess54.0ms (0.3%)

Compiler: Compiled 294 to 138 computations (53.1% saved)

analyze0.0ms (0%)

sample1.4s (7.2%)

preprocess51.0ms (0.3%)

explain98.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize53.0ms (0.3%)

series12.0ms (0.1%)

rewrite935.0ms (4.8%)

simplify1.1s (5.6%)

eval126.0ms (0.7%)

prune41.0ms (0.2%)

localize1.3s (6.9%)

series77.0ms (0.4%)

rewrite1.4s (7.3%)

simplify870.0ms (4.5%)

eval2.4s (12.4%)

prune610.0ms (3.2%)

localize846.0ms (4.4%)

series70.0ms (0.4%)

rewrite790.0ms (4.1%)

simplify739.0ms (3.8%)

eval1.0s (5.3%)

prune673.0ms (3.5%)

localize1.7s (8.8%)

series98.0ms (0.5%)

rewrite623.0ms (3.2%)

simplify796.0ms (4.1%)

eval418.0ms (2.2%)

prune295.0ms (1.5%)

regimes145.0ms (0.8%)

regimes146.0ms (0.8%)

regimes126.0ms (0.7%)

regimes41.0ms (0.2%)

regimes43.0ms (0.2%)

regimes10.0ms (0.1%)

regimes1.0ms (0%)

bsearch45.0ms (0.2%)

bsearch86.0ms (0.4%)

bsearch35.0ms (0.2%)

bsearch34.0ms (0.2%)

soundness2.0ms (0%)

preprocess54.0ms (0.3%)

end0.0ms (0%)

Profiling