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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-add: 0.0ms (0% of total)

ival-cos: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

ival-sin: 0.0ms (0% of total)

sample1.2s (11.7%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 733.0ms

ival-sin: 230.0ms (31.4% of total)

ival-cos: 222.0ms (30.3% of total)

ival-mult: 176.0ms (24% of total)

ival-add: 96.0ms (13.1% of total)

const: 7.0ms (1% of total)

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

Bogosity

preprocess115.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain100.0ms (0.9%)

FPErrors

Click to see full error table

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

Results

65.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-sin: 13.0ms (36.9% of total)

ival-cos: 11.0ms (31.2% of total)

ival-mult: 8.0ms (22.7% of total)

ival-add: 3.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

31.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-sin: 6.0ms (35.3% of total)

ival-cos: 5.0ms (29.4% of total)

ival-mult: 4.0ms (23.5% of total)

ival-add: 2.0ms (11.8% of total)

const: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	(* z (cos y))
1.0ms	x	@	0	(+ (* x (sin y)) (* z (cos y)))
1.0ms	z	@	inf	(+ (* x (sin y)) (* z (cos y)))
1.0ms	z	@	0	(+ (* x (sin y)) (* z (cos y)))
1.0ms	y	@	-inf	(+ (* x (sin y)) (* z (cos y)))

rewrite250.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2786×	`-lowering-.f32`
2786×	`-lowering-.f64`
1858×	`sum5-define`
1440×	`fmsub-define`
1440×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	25	20
2	209	20
3	2700	20
0	8132	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 98

Calls

Call 1

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

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

simplify206.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	645
1	362	622
2	1194	612
3	3562	606
4	6567	606
0	8152	606

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval36.0ms (0.3%)

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

prune54.0ms (0.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	185	21	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	22	207

Accuracy

99.9%

Counts

207 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
▶	99.7%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	57.9%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	16.2%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))))
▶	44.0%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	44.0%	(-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	54.9%	(+.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (*.f64 z (cos.f64 y)))
	56.6%	(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (*.f64 z (cos.f64 y)))
✓	99.7%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	80.6%	(+.f64 (*.f64 x (sin.f64 y)) z)
	52.2%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
	52.2%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	52.8%	(+.f64 z (*.f64 y x))
	16.3%	(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))))
	20.7%	(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
	44.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
	43.4%	(.f64 (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
	99.5%	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
▶	61.1%	(*.f64 z (cos.f64 y))
	40.7%	(*.f64 x (sin.f64 y))
▶	42.4%	z

Compiler

Compiled 1346 to 674 computations (49.9% saved)

simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(.f64 x (.f64 x (sin.f64 y)))
✓	cost-diff	64	(neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
✓	cost-diff	6336	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	6272	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))

Rules

3592×	`-lowering-.f32`
3592×	`-lowering-.f64`
1652×	`sum4-define`
1576×	`times-frac`
1178×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	330
1	104	321
2	326	316
3	1093	316
4	3720	316
0	8358	316

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize328.0ms (3.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	78.9%	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
✓	accuracy	63.4%	(/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓	accuracy	96.0%	(-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
✓	accuracy	86.8%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	accuracy	77.0%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	54.5%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Results

114.0ms	114×	1	valid
58.0ms	129×	0	valid
22.0ms	13×	2	valid

Compiler

Compiled 345 to 30 computations (91.3% saved)

Precisions

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

ival-mult: 46.0ms (36.4% of total)

ival-cos: 27.0ms (21.4% of total)

compiled-spec: 12.0ms (9.5% of total)

backward-pass: 11.0ms (8.7% of total)

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

ival-sub: 7.0ms (5.5% of total)

ival-div: 7.0ms (5.5% of total)

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

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

const: 1.0ms (0.8% of total)

series72.0ms (0.7%)

Counts

17 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
15.0ms	z	@	0	(- (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y))))))
3.0ms	z	@	0	(* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y)))))
3.0ms	y	@	-inf	(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms	z	@	-inf	(/ (* z z) (- (* x (sin y)) (* z (cos y))))
2.0ms	y	@	inf	(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (* x x) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))

rewrite657.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4126×	`-lowering-.f32`
4126×	`-lowering-.f64`
2418×	`fma-lowering-fma.f32`
2418×	`fma-lowering-fma.f64`
2292×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	154
1	226	117
2	2082	117
0	8942	117

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1184

Calls

Call 1

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

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

simplify378.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

5968×	`-lowering-.f32`
5968×	`-lowering-.f64`
2282×	`+-lowering-+.f64`
2282×	`+-lowering-+.f32`
1940×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1102	9555
1	4330	9255
0	8318	9255

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

eval498.0ms (4.7%)

Compiler: Compiled 113694 to 3428 computations (97% saved)

prune198.0ms (1.9%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1952	17	1969
Fresh	9	7	16
Picked	3	2	5
Done	0	1	1
Total	1964	27	1991

Accuracy

100.0%

Counts

1991 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) z)
	80.7%	(fma.f64 (sin.f64 y) x z)
	44.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 z (cos.f64 y)) (cos.f64 y)) z) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
▶	43.7%	(/.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 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	47.2%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) x)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	46.9%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	17.4%	(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	60.9%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	30.8%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
	50.3%	(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
▶	38.5%	(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
	54.9%	(+.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (*.f64 z (cos.f64 y)))
	56.6%	(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (*.f64 z (cos.f64 y)))
✓	99.7%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	80.6%	(+.f64 (*.f64 x (sin.f64 y)) z)
	40.8%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
	52.2%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
	52.2%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
▶	52.8%	(+.f64 z (*.f64 y x))
	41.2%	(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
	93.5%	(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
	40.8%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	61.1%	(*.f64 z (cos.f64 y))
▶	89.0%	(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
	40.7%	(*.f64 x (sin.f64 y))
✓	42.4%	z

Compiler

Compiled 1015 to 642 computations (36.7% saved)

simplify198.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	256	(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
✓	cost-diff	6656	(-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
✓	cost-diff	6656	(/.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 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	cost-diff	0	(*.f64 z (/.f64 (cos.f64 y) x))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) (*.f64 z (/.f64 (cos.f64 y) x)))
✓	cost-diff	128	(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
✓	cost-diff	896	(.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (.f64 x x) z)) z))
✓	cost-diff	896	(+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (.f64 x x) z)) z)))
✓	cost-diff	896	(.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z))))
✓	cost-diff	896	(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 z (*.f64 y x))
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))

Rules

2546×	`-lowering-.f32`
2546×	`-lowering-.f64`
1982×	`fma-lowering-fma.f32`
1982×	`fma-lowering-fma.f64`
1844×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	403
1	133	379
2	393	308
3	1204	296
4	3991	296
0	8251	296

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize429.0ms (4.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	96.0%	(-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
✓	accuracy	72.1%	(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
✓	accuracy	54.5%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	accuracy	100.0%	(+.f64 (sin.f64 y) (*.f64 z (/.f64 (cos.f64 y) x)))
✓	accuracy	99.8%	(/.f64 (cos.f64 y) x)
✓	accuracy	99.7%	(*.f64 z (/.f64 (cos.f64 y) x))
✓	accuracy	89.2%	(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
✓	accuracy	100.0%	(+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (.f64 x x) z)) z)))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z))))
✓	accuracy	86.6%	(/.f64 (*.f64 x x) z)
✓	accuracy	51.5%	(-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 z (*.f64 y x))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.8%	(*.f64 (sin.f64 y) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))

Results

170.0ms	115×	1	valid
132.0ms	58×	2	valid
44.0ms	83×	0	valid

Compiler

Compiled 423 to 47 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-mult: 97.0ms (39% of total)

ival-cos: 70.0ms (28.2% of total)

backward-pass: 23.0ms (9.3% of total)

ival-add: 19.0ms (7.6% of total)

ival-div: 16.0ms (6.4% of total)

ival-sub: 13.0ms (5.2% of total)

ival-sin: 10.0ms (4% of total)

const: 1.0ms (0.4% of total)

series61.0ms (0.6%)

Counts

23 → 684

Calls

Call 1

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

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

Calls

171 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	(/ 1 (+ (* z (cos y)) (* (sin y) x)))
3.0ms	y	@	0	(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* (* x x) 1/2) (* (* x x) (* (cos (* y 2)) -1/2)))) (- (* z (cos y)) (* x (sin y))))
2.0ms	z	@	-inf	(+ (* y (+ x (* y (- (- (+ (/ (* x x) z) (* z 1/2)) (/ (* x x) z)) z)))) z)
2.0ms	y	@	inf	(/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))
1.0ms	y	@	inf	(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* (* x x) 1/2) (* (* x x) (* (cos (* y 2)) -1/2)))) (- (* z (cos y)) (* x (sin y))))

rewrite404.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3318×	`-lowering-.f32`
3318×	`-lowering-.f64`
2274×	`pow-lowering-pow.f64`
2274×	`pow-lowering-pow.f32`
1654×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	244
1	317	201
2	3174	201
0	8583	201

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 579

Calls

Call 1

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

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

simplify409.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5092×	`-lowering-.f32`
5092×	`-lowering-.f64`
3864×	`+-lowering-+.f64`
3864×	`+-lowering-+.f32`
1776×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	758	8543
1	2857	7834
0	8236	7834

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

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

eval170.0ms (1.6%)

Compiler: Compiled 40812 to 2741 computations (93.3% saved)

prune188.0ms (1.8%)

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	1329	28	1357
Fresh	8	11	19
Picked	2	3	5
Done	0	3	3
Total	1339	45	1384

Accuracy

100.0%

Counts

1384 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 z (cos.f64 y)) (cos.f64 y)) z) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
▶	29.1%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
	24.3%	(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
	16.6%	(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (sin.f64 y)))
	17.4%	(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	60.9%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	30.8%	(/.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))
	40.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
	21.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
	52.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
▶	40.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	42.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	37.8%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
	32.8%	(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) y) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (*.f64 x x) z)))))) z)
	50.3%	(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
	23.6%	(+.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 z z) #s(literal 0 binary64)))) (.f64 z z)) (+.f64 z #s(literal 0 binary64)))
	51.9%	(+.f64 (+.f64 (.f64 x y) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) z)
✓	38.5%	(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
▶	52.2%	(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
	33.2%	(+.f64 (.f64 y (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z)))))))) z)
	39.8%	(+.f64 (.f64 y (.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -1/2 binary64))))) z)
	41.2%	(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
	54.9%	(+.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (*.f64 z (cos.f64 y)))
✓	99.7%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	80.6%	(+.f64 (*.f64 x (sin.f64 y)) z)
	40.8%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
	52.2%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
✓	52.8%	(+.f64 z (*.f64 y x))
	29.0%	(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
	3.2%	(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
▶	93.4%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	51.8%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
	40.8%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	61.1%	(*.f64 z (cos.f64 y))
	37.8%	(*.f64 y (+.f64 x (/.f64 z y)))
	50.5%	(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
	36.8%	(*.f64 x (/.f64 z x))
	46.4%	(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
	89.1%	(.f64 x (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (/.f64 z x))))
✓	89.0%	(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
	52.2%	(.f64 x (+.f64 y (.f64 z (/.f64 (cos.f64 y) x))))
	40.7%	(*.f64 x (sin.f64 y))
▶	13.8%	(*.f64 x y)
✓	42.4%	z

Compiler

Compiled 1593 to 898 computations (43.6% saved)

simplify175.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
✓	cost-diff	0	(.f64 y (.f64 x (*.f64 y x)))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x))))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 x (/.f64 (sin.f64 y) z))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
✓	cost-diff	128	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))

Rules

2128×	`-lowering-.f32`
2128×	`-lowering-.f64`
1572×	`fnmsub-define`
1510×	`sum3-define`
1500×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	150
1	77	145
2	192	143
3	473	131
4	1091	129
5	2917	129
6	7083	129
0	8253	129

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize176.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
✓	accuracy	99.8%	(.f64 x (.f64 y x))
✓	accuracy	95.1%	(.f64 y (.f64 x (*.f64 y x)))
✓	accuracy	93.2%	(-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x))))
✓	accuracy	52.7%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
✓	accuracy	100.0%	(+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) z)
✓	accuracy	93.5%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
✓	accuracy	93.4%	(*.f64 x (/.f64 (sin.f64 y) z))

Results

124.0ms

256×

valid

Compiler

Compiled 162 to 28 computations (82.7% saved)

Precisions

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

ival-mult: 37.0ms (57.3% of total)

ival-cos: 8.0ms (12.4% of total)

ival-div: 7.0ms (10.8% of total)

ival-sin: 6.0ms (9.3% of total)

ival-add: 4.0ms (6.2% of total)

ival-sub: 2.0ms (3.1% of total)

const: 0.0ms (0% of total)

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

series78.0ms (0.7%)

Counts

19 → 516

Calls

Call 1

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

Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (* x (sin y)) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/2 (* y z))))>
#<alt (* y (+ x (* -1/2 (* y z))))>
#<alt (* y (+ x (* -1/2 (* y z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt (* x (+ y (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt (* x (+ y (* -1/2 (/ (* (pow y 2) z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x)))))>
#<alt (* x y)>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x y))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* x y) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1/2 (* y z))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (- (pow z 2) (* (pow x 2) (pow y 2)))>
#<alt (- (pow z 2) (* (pow x 2) (pow y 2)))>
#<alt (- (pow z 2) (* (pow x 2) (pow y 2)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))>
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) y)>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ y z)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>

Calls

129 calls:

Time	Variable		Point	Expression
36.0ms	z	@	0	(/ (- (* z z) (* y (* x (* y x)))) (- z (* y x)))
15.0ms	z	@	0	(* x (/ (sin y) z))
1.0ms	y	@	inf	(* z (+ (cos y) (* x (/ (sin y) z))))
1.0ms	y	@	-inf	(* z (+ (cos y) (* x (/ (sin y) z))))
1.0ms	x	@	inf	(/ (- (* z z) (* y (* x (* y x)))) (- z (* y x)))

rewrite396.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3364×	`/-lowering-/.f32`
3364×	`/-lowering-/.f64`
3228×	`-lowering-.f32`
3228×	`-lowering-.f64`
1992×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	122
1	173	102
2	1367	101
0	8409	101

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 547

Calls

Call 1

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

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

simplify353.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

5180×	`-lowering-.f32`
5180×	`-lowering-.f64`
2066×	`+-lowering-+.f64`
2066×	`+-lowering-+.f32`
1760×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	285	3755
1	1013	3580
2	3344	3526
3	7160	3523
0	8366	3523

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

eval153.0ms (1.5%)

Compiler: Compiled 25018 to 1960 computations (92.2% saved)

prune226.0ms (2.2%)

Pruning

52 alts after pruning (42 fresh and 10 done)

	Pruned	Kept	Total
New	1053	23	1076
Fresh	15	19	34
Picked	1	4	5
Done	0	6	6
Total	1069	52	1121

Accuracy

100.0%

Counts

1121 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(/.f64 (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x))))) (-.f64 z (*.f64 y x)))
	24.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))) (-.f64 z (*.f64 y x)))
	44.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 z (cos.f64 y)) (cos.f64 y)) z) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	24.5%	(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 y (.f64 x x)) y)) (-.f64 z (*.f64 y x)))
	7.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 z (.f64 y x)))
	24.3%	(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
	16.6%	(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (sin.f64 y)))
	12.9%	(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x)))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
	60.9%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	23.8%	(/.f64 (.f64 z z) (-.f64 z (.f64 y x)))
	40.7%	(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
	40.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
	13.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y))
	40.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
✓	40.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	13.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	42.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	8.3%	(+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))))) z)
	50.3%	(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
	51.9%	(+.f64 (+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 y x)) z)
✓	38.5%	(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
✓	52.2%	(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
	41.2%	(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
✓	99.7%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	80.6%	(+.f64 (*.f64 x (sin.f64 y)) z)
	40.8%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
	52.2%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
✓	52.8%	(+.f64 z (*.f64 y x))
	16.9%	(.f64 (/.f64 (+.f64 z (.f64 y x)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 (-.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (+.f64 z (.f64 y x)))))))
	24.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
	93.4%	(*.f64 (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
	3.2%	(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
	40.7%	(*.f64 (sin.f64 y) x)
	34.5%	(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
	90.4%	(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
✓	93.4%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	51.8%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
	40.8%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	74.3%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
✓	61.1%	(*.f64 z (cos.f64 y))
	37.8%	(*.f64 y (+.f64 x (/.f64 z y)))
	13.6%	(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
	13.6%	(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
	13.5%	(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
	50.5%	(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
	36.8%	(*.f64 x (/.f64 z x))
	46.4%	(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
	89.1%	(.f64 x (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (/.f64 z x))))
✓	89.0%	(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
	52.2%	(.f64 x (+.f64 y (.f64 z (/.f64 (cos.f64 y) x))))
✓	13.8%	(*.f64 x y)
✓	42.4%	z

Compiler

Compiled 2775 to 900 computations (67.6% saved)

regimes117.0ms (1.1%)

Counts

90 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (.f64 z z) (-.f64 z (.f64 y x)))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (.f64 y (.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (+.f64 (.f64 x y) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) z)
(+.f64 (+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(.f64 z (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 z (.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 z z) #s(literal 0 binary64)))) (.f64 z z)) (+.f64 z #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 y (.f64 x x)) y)) (-.f64 z (*.f64 y x)))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x))))) (-.f64 z (*.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x)))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 (+.f64 z (.f64 y x)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 (-.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (+.f64 z (.f64 y x)))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) y) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (*.f64 x x) z)))))) z)
(+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))))) z)
(+.f64 (.f64 y (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z)))))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(.f64 x (+.f64 y (.f64 z (/.f64 (cos.f64 y) x))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
(.f64 x (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (/.f64 z x))))
(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(*.f64 (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(/.f64 (-.f64 (.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 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))) x)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) z)
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z (cos.f64 y)) (cos.f64 y)) z) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(.f64 (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))))

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

Calls

4 calls:

31.0ms	y
27.0ms	z
26.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
23.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes233.0ms (2.2%)

Counts

72 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (.f64 z z) (-.f64 z (.f64 y x)))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (.f64 y (.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (+.f64 (.f64 x y) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) z)
(+.f64 (+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(.f64 z (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 z (.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 z z) #s(literal 0 binary64)))) (.f64 z z)) (+.f64 z #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 y (.f64 x x)) y)) (-.f64 z (*.f64 y x)))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x))))) (-.f64 z (*.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x)))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 (+.f64 z (.f64 y x)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 (-.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (+.f64 z (.f64 y x)))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) y) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (*.f64 x x) z)))))) z)
(+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))))) z)
(+.f64 (.f64 y (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z)))))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(.f64 x (+.f64 y (.f64 z (/.f64 (cos.f64 y) x))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
(.f64 x (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (/.f64 z x))))
(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(*.f64 (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (sin.f64 y)))

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

Calls

4 calls:

148.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
29.0ms	y
27.0ms	z
21.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes60.0ms (0.6%)

Counts

60 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (.f64 z z) (-.f64 z (.f64 y x)))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (.f64 y (.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (+.f64 (.f64 x y) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) z)
(+.f64 (+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(.f64 z (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 z (.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 z z) #s(literal 0 binary64)))) (.f64 z z)) (+.f64 z #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 y (.f64 x x)) y)) (-.f64 z (*.f64 y x)))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x))))) (-.f64 z (*.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x)))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 (+.f64 z (.f64 y x)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 (-.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (+.f64 z (.f64 y x)))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) y) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (*.f64 x x) z)))))) z)
(+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))))) z)
(+.f64 (.f64 y (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z)))))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(.f64 x (+.f64 y (.f64 z (/.f64 (cos.f64 y) x))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x z)

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

Calls

3 calls:

18.0ms	x
17.0ms	y
17.0ms	z

Results

Accuracy	Segments	Branch
85.5%	3	`x`
80.7%	1	`y`
89.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.2%)

Counts

59 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (.f64 z z) (-.f64 z (.f64 y x)))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (.f64 y (.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (+.f64 (.f64 x y) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) z)
(+.f64 (+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(.f64 z (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 z (.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 z z) #s(literal 0 binary64)))) (.f64 z z)) (+.f64 z #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 y (.f64 x x)) y)) (-.f64 z (*.f64 y x)))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x))))) (-.f64 z (*.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x)))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 (+.f64 z (.f64 y x)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 (-.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (+.f64 z (.f64 y x)))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) y) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (*.f64 x x) z)))))) z)
(+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))))) z)
(+.f64 (.f64 y (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z)))))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(.f64 z (/.f64 (.f64 x (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x))
(.f64 x (+.f64 y (.f64 z (/.f64 (cos.f64 y) x))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
(+.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (*.f64 z (cos.f64 y)))

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
89.9%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes55.0ms (0.5%)

Counts

47 → 4

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (.f64 z z) (-.f64 z (.f64 y x)))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (.f64 y (.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (+.f64 (.f64 x y) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) z)
(+.f64 (+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(.f64 z (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 z (.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 z z) #s(literal 0 binary64)))) (.f64 z z)) (+.f64 z #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 y (.f64 x x)) y)) (-.f64 z (*.f64 y x)))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x))))) (-.f64 z (*.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x)))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 (+.f64 z (.f64 y x)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 (-.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (+.f64 z (.f64 y x)))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) y) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (*.f64 x x) z)))))) z)
(+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))))) z)
(+.f64 (.f64 y (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z)))))))) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)

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

Calls

3 calls:

14.0ms	y
13.0ms	z
13.0ms	x

Results

Accuracy	Segments	Branch
81.1%	4	`y`
71.1%	3	`x`
76.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.2%)

Counts

45 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (.f64 z z) (-.f64 z (.f64 y x)))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (.f64 y (.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (+.f64 (.f64 x y) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) z)
(+.f64 (+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(.f64 z (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 z (.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 z z) #s(literal 0 binary64)))) (.f64 z z)) (+.f64 z #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 y (.f64 x x)) y)) (-.f64 z (*.f64 y x)))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x))))) (-.f64 z (*.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x)))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 (+.f64 z (.f64 y x)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 (-.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (+.f64 z (.f64 y x)))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) y) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (*.f64 x x) z)))))) z)
(+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))))) z)
(+.f64 (.f64 y (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z)))))))) z)
(*.f64 x (sin.f64 y))

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes61.0ms (0.6%)

Counts

44 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (/.f64 z x))
(+.f64 z (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(/.f64 (.f64 z z) (-.f64 z (.f64 y x)))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (.f64 y (.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -1/2 binary64))))) z)
(+.f64 (+.f64 (.f64 x y) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) z)
(+.f64 (+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(.f64 z (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 z (.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 z (.f64 y y)) #s(literal 1/24 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 z z) #s(literal 0 binary64)))) (.f64 z z)) (+.f64 z #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 y (.f64 x x)) y)) (-.f64 z (*.f64 y x)))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 x (+.f64 (/.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))) (-.f64 z (*.f64 y x)))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(+.f64 (.f64 y (+.f64 x (.f64 y (-.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) z)) z)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x))))) (-.f64 z (*.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x)))) (+.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 (+.f64 z (.f64 y x)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (/.f64 (-.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y x) (+.f64 z (.f64 y x)))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) y) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (*.f64 x x) z)))))) z)
(+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))))) z)
(+.f64 (.f64 y (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (-.f64 (+.f64 (/.f64 (.f64 x x) z) (.f64 z #s(literal 1/2 binary64))) (+.f64 z (/.f64 (.f64 x x) z)))))))) z)

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

Calls

3 calls:

33.0ms	y
13.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
52.8%	1	`x`
52.8%	1	`z`
52.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

Outputs
z
(*.f64 x y)
z

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
42.4%	1	`x`
42.4%	1	`y`
45.8%	3	`z`

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
z

Outputs
z

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
42.4%	1	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch48.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.2686366827629696e+100	9.859285257706257e+103
28.0ms	-42348876777619030.0	-209848047762.7648

Results

36.0ms

272×

valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

Precisions

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

ival-mult: 13.0ms (47.2% of total)

ival-sin: 7.0ms (25.4% of total)

ival-cos: 6.0ms (21.8% of total)

ival-add: 1.0ms (3.6% of total)

const: 0.0ms (0% of total)

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

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.2686366827629696e+100	9.859285257706257e+103
33.0ms	-42348876777619030.0	-209848047762.7648

Results

40.0ms

272×

valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 19.0ms (60.7% of total)

ival-sin: 6.0ms (19.2% of total)

ival-cos: 5.0ms (16% of total)

ival-add: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

bsearch57.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	3.583318958466518e+65	1.333585307547448e+66
18.0ms	0.0059921821795038644	194.32691614696503
22.0ms	-1074.2277579338831	-0.0005215801844676802

Results

41.0ms

352×

valid

Compiler

Compiled 591 to 413 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 12.0ms (41.2% of total)

ival-sin: 10.0ms (34.4% of total)

ival-mult: 5.0ms (17.2% of total)

ival-add: 2.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.6246150518146354e-27	4.6325135164357205e-24
19.0ms	-1074.2277579338831	-0.0005215801844676802

Results

22.0ms

272×

valid

Compiler

Compiled 511 to 353 computations (30.9% saved)

Precisions

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

ival-sin: 5.0ms (36.7% of total)

ival-mult: 4.0ms (29.3% of total)

ival-cos: 3.0ms (22% of total)

ival-add: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.330444909201004e-60	3.345768754118107e-55
14.0ms	-2.7200716772445888e-232	-3.927178069867047e-233

Results

24.0ms

224×

valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

Precisions

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

ival-mult: 5.0ms (30.6% of total)

ival-sin: 5.0ms (30.6% of total)

ival-cos: 4.0ms (24.5% of total)

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

const: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	144
1	84	144

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -2800000000000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 62000000000000001374513027250260733087729394461164525945125598668464504637818844524824370953353953280 binary64)) (fma.f64 (sin.f64 y) x z) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -3900000000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 399999999999999990819805306098134651378737087969660002451998389892797380872315964521304517792604618752 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (if (<=.f64 y #s(literal 600000000000000042022284152290696487454451377086439361183251169280 binary64)) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -1170935903116329/9007199254740992 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1531270651144223/340282366920938463463374607431768211456 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 z #s(literal -5174020727458855/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) z (if (<=.f64 z #s(literal 1908194829960655/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (*.f64 x y) z))
z

Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -2800000000000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 62000000000000001374513027250260733087729394461164525945125598668464504637818844524824370953353953280 binary64)) (fma.f64 (sin.f64 y) x z) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -3900000000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 399999999999999990819805306098134651378737087969660002451998389892797380872315964521304517792604618752 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -3900000000000 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 399999999999999990819805306098134651378737087969660002451998389892797380872315964521304517792604618752 binary64)) (+.f64 z (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (if (<=.f64 y #s(literal 600000000000000042022284152290696487454451377086439361183251169280 binary64)) (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -3512807709348987/4503599627370496 binary64)) (.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 8286623314361713/72057594037927936 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (if (<=.f64 y #s(literal 600000000000000042022284152290696487454451377086439361183251169280 binary64)) (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -1170935903116329/9007199254740992 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1531270651144223/340282366920938463463374607431768211456 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -1170935903116329/9007199254740992 binary64)) (.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 1531270651144223/340282366920938463463374607431768211456 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (.f64 y #s(literal -1/6 binary64)))))))) (*.f64 (sin.f64 y) x)))
(+.f64 z (*.f64 y x))
(if (<=.f64 z #s(literal -5174020727458855/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) z (if (<=.f64 z #s(literal 1908194829960655/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (*.f64 x y) z))
(if (<=.f64 z #s(literal -5174020727458855/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) z (if (<=.f64 z #s(literal 1908194829960655/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (*.f64 y x) z))
z

soundness1.8s (17.1%)

Rules

5968×	`-lowering-.f32`
5968×	`-lowering-.f64`
5092×	`-lowering-.f32`
5092×	`-lowering-.f64`
3864×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	25	20
2	209	20
3	2700	20
0	8132	20
0	1102	9555
1	4330	9255
0	8318	9255
0	758	8543
1	2857	7834
0	8236	7834
0	109	645
1	362	622
2	1194	612
3	3562	606
4	6567	606
0	8152	606

Stop Event

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

Compiler

Compiled 300 to 152 computations (49.3% saved)

preprocess101.0ms (1%)

Compiler: Compiled 336 to 128 computations (61.9% saved)

analyze0.0ms (0%)

sample1.2s (11.7%)

preprocess115.0ms (1.1%)

explain100.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize43.0ms (0.4%)

series21.0ms (0.2%)

rewrite250.0ms (2.4%)

simplify206.0ms (2%)

eval36.0ms (0.3%)

prune54.0ms (0.5%)

simplify170.0ms (1.6%)

localize328.0ms (3.1%)

series72.0ms (0.7%)

rewrite657.0ms (6.3%)

simplify378.0ms (3.6%)

eval498.0ms (4.7%)

prune198.0ms (1.9%)

simplify198.0ms (1.9%)

localize429.0ms (4.1%)

series61.0ms (0.6%)

rewrite404.0ms (3.8%)

simplify409.0ms (3.9%)

eval170.0ms (1.6%)

prune188.0ms (1.8%)

simplify175.0ms (1.7%)

localize176.0ms (1.7%)

series78.0ms (0.7%)

rewrite396.0ms (3.8%)

simplify353.0ms (3.4%)

eval153.0ms (1.5%)

prune226.0ms (2.2%)

regimes117.0ms (1.1%)

regimes233.0ms (2.2%)

regimes60.0ms (0.6%)

regimes26.0ms (0.2%)

regimes55.0ms (0.5%)

regimes19.0ms (0.2%)

regimes61.0ms (0.6%)

regimes6.0ms (0.1%)

regimes1.0ms (0%)

bsearch48.0ms (0.5%)

bsearch62.0ms (0.6%)

bsearch57.0ms (0.5%)

bsearch35.0ms (0.3%)

bsearch34.0ms (0.3%)

simplify15.0ms (0.1%)

soundness1.8s (17.1%)

preprocess101.0ms (1%)

end0.0ms (0%)

Profiling