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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.3s (12.7%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 864.0ms

ival-cos: 474.0ms (54.9% of total)

ival-sin: 196.0ms (22.7% of total)

ival-mult: 137.0ms (15.9% of total)

ival-add: 47.0ms (5.4% of total)

const: 7.0ms (0.8% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess92.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	86
1	89	80
2	184	80
3	494	80
4	1389	80
5	1966	80
6	2902	80
7	3468	80
8	3837	80
9	4302	80
10	4542	80
11	4577	80
12	4601	80
13	4609	80
0	8	8
1	12	8
2	15	8
0	15	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain159.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

128.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-sin: 14.0ms (36.7% of total)

ival-cos: 12.0ms (31.5% of total)

ival-mult: 8.0ms (21% of total)

ival-add: 3.0ms (7.9% of total)

const: 1.0ms (2.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize53.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

44.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-mult: 19.0ms (59.5% of total)

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

ival-sin: 5.0ms (15.7% of total)

ival-add: 1.0ms (3.1% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite240.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	25	18
2	209	18
3	2700	18
0	8128	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 97

Calls

Call 1

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

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

simplify228.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2630×	`-lowering-.f32`
2630×	`-lowering-.f64`
2168×	`fma-lowering-fma.f32`
2168×	`fma-lowering-fma.f64`
1496×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	585
1	309	568
2	1079	561
3	2910	557
4	5490	557
0	8209	557

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval32.0ms (0.3%)

Compiler: Compiled 4711 to 359 computations (92.4% saved)

prune31.0ms (0.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	176	17	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	18	194

Accuracy

99.9%

Counts

194 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶	70.0%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	45.5%	(/.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 (sin.f64 y)) (.f64 x (cos.f64 y))))
	37.2%	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))
	45.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	61.0%	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	79.3%	(+.f64 x (*.f64 z (sin.f64 y)))
	55.7%	(+.f64 x (*.f64 z y))
	55.1%	(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
	54.9%	(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
	26.8%	(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))
	45.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) #s(literal -1 binary64)))
▶	99.7%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	38.8%	(*.f64 z (sin.f64 y))
▶	63.2%	(*.f64 x (cos.f64 y))
▶	43.6%	x

Compiler

Compiled 948 to 504 computations (46.8% saved)

simplify174.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (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 (cos.f64 y)) (.f64 z (sin.f64 y))))))
✓	cost-diff	6336	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	26624	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓	cost-diff	26752	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))

Rules

2858×	`-lowering-.f32`
2858×	`-lowering-.f64`
1748×	`sum4-define`
1616×	`fnmadd-define`
1160×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	284
1	90	279
2	239	275
3	827	274
4	4226	274
0	8436	274

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize319.0ms (3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	92.2%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	accuracy	79.1%	(/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	73.6%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

Results

127.0ms	116×	1	valid
98.0ms	120×	0	valid
32.0ms	20×	2	valid

Compiler

Compiled 350 to 30 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 79.0ms (45.4% of total)

ival-cos: 34.0ms (19.5% of total)

ival-add: 16.0ms (9.2% of total)

ival-div: 13.0ms (7.5% of total)

backward-pass: 11.0ms (6.3% of total)

ival-sin: 7.0ms (4% of total)

compiled-spec: 7.0ms (4% of total)

ival-sub: 4.0ms (2.3% of total)

ival-neg: 2.0ms (1.1% of total)

const: 1.0ms (0.6% of total)

series88.0ms (0.8%)

Counts

17 → 504

Calls

Call 1

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

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

126 calls:

Time	Variable		Point	Expression
19.0ms	z	@	inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))
8.0ms	x	@	inf	(/ 1 (+ (* x (cos y)) (* z (sin y))))
6.0ms	z	@	inf	(* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))
5.0ms	y	@	-inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))
3.0ms	y	@	inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))

rewrite1.2s (11.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3776×	`-lowering-.f32`
3776×	`-lowering-.f64`
3100×	`/-lowering-/.f32`
3100×	`/-lowering-/.f64`
2616×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	161
1	178	133
2	1512	133
0	9554	133

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 2353

Calls

Call 1

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

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

simplify443.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

4622×	`-lowering-.f32`
4622×	`-lowering-.f64`
2476×	`+-lowering-+.f64`
2476×	`+-lowering-+.f32`
1728×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1213	11409
1	4708	11020
0	8208	11020

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

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

eval748.0ms (7%)

Compiler: Compiled 291761 to 5665 computations (98.1% saved)

prune410.0ms (3.8%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	3767	19	3786
Fresh	5	7	12
Picked	3	2	5
Done	0	1	1
Total	3775	29	3804

Accuracy

100.0%

Counts

3804 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.2%	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))
	26.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
	62.9%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	47.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	35.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z))
	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
	55.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y))))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	43.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	38.1%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
	47.2%	(+.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y)))
▶	99.2%	(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
▶	61.0%	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	41.9%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
	79.3%	(+.f64 x (*.f64 z (sin.f64 y)))
▶	55.7%	(+.f64 x (*.f64 z y))
	55.1%	(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
	54.9%	(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
	42.0%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	47.5%	(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
▶	26.1%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
	85.9%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
	38.8%	(*.f64 z (sin.f64 y))
	92.8%	(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
▶	41.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	62.9%	(.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
✓	63.2%	(*.f64 x (cos.f64 y))
✓	43.6%	x

Compiler

Compiled 987 to 626 computations (36.6% saved)

simplify179.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	6528	(.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
✓	cost-diff	6656	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
✓	cost-diff	0	(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(+.f64 x (*.f64 z y))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	cost-diff	13376	(+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))

Rules

2856×	`-lowering-.f32`
2856×	`-lowering-.f64`
1972×	`fma-define`
1944×	`sum3-define`
1792×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	312
1	119	298
2	391	288
3	1208	283
4	2753	279
5	5530	279
0	8052	279

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
(/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))
(* x (+ 1/2 (* 1/2 (cos (* y 2)))))
x
(+ 1/2 (* 1/2 (cos (* y 2))))
1/2
(* 1/2 (cos (* y 2)))
(cos (* y 2))
(* y 2)
y
2
(cos y)
(/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2))
(* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2)))))
(* z (sin y))
z
(sin y)
(pow (cos y) 2)
(+ x (* z y))
x
(* z y)
z
y
(* x (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2))))
x
(+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2)))
1
(* (* y y) (+ (* (* y y) 1/24) -1/2))
(* y y)
y
(+ (* (* y y) 1/24) -1/2)
(* (* y y) 1/24)
1/24
-1/2
(+ (* x (cos y)) (* (* z y) (+ 1 (* -1/6 (* y y)))))
(* x (cos y))
x
(cos y)
y
(* (* z y) (+ 1 (* -1/6 (* y y))))
(* z y)
z
(+ 1 (* -1/6 (* y y)))
1
(* -1/6 (* y y))
-1/6
(* y y)
(* (- 0 z) (* 1/2 (- (/ (cos (* y 2)) (sin y)) (/ 1 (sin y)))))
(- 0 z)
0
z
(* 1/2 (- (/ (cos (* y 2)) (sin y)) (/ 1 (sin y))))
1/2
(- (/ (cos (* y 2)) (sin y)) (/ 1 (sin y)))
(/ (cos (* y 2)) (sin y))
(cos (* y 2))
(* y 2)
y
2
(sin y)
(/ 1 (sin y))
1

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

localize478.0ms (4.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	accuracy	99.8%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
✓	accuracy	99.7%	(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
✓	accuracy	49.2%	(-.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	99.2%	(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/24 binary64))
✓	accuracy	98.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 x (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.8%	(/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	accuracy	99.7%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))

Results

165.0ms	73×	2	valid
70.0ms	120×	0	valid
65.0ms	44×	1	valid
60.0ms	19×	3	valid

Compiler

Compiled 327 to 43 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-sin: 54.0ms (23.3% of total)

ival-mult: 50.0ms (21.6% of total)

ival-cos: 29.0ms (12.5% of total)

backward-pass: 28.0ms (12.1% of total)

ival-add: 26.0ms (11.2% of total)

ival-div: 14.0ms (6% of total)

...c/correct-round.rkt:119:19: 12.0ms (5.2% of total)

ival-pow: 9.0ms (3.9% of total)

ival-sub: 7.0ms (3% of total)

const: 2.0ms (0.9% of total)

series49.0ms (0.5%)

Counts

24 → 456

Calls

Call 1

Inputs
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* y 2)))))>
#<alt (+ 1/2 (* 1/2 (cos (* y 2))))>
#<alt (+ x (* z y))>
#<alt (* z y)>
#<alt (* x (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2))))>
#<alt (+ 1 (* (* y y) (+ (* (* y y) 1/24) -1/2)))>
#<alt (* (* y y) (+ (* (* y y) 1/24) -1/2))>
#<alt (* y y)>
#<alt (+ (* x (cos y)) (* (* z y) (+ 1 (* -1/6 (* y y)))))>
#<alt (* x (cos y))>
#<alt (cos y)>
#<alt (* (* z y) (+ 1 (* -1/6 (* y y))))>
#<alt (* (- 0 z) (* 1/2 (- (/ (cos (* y 2)) (sin y)) (/ 1 (sin y)))))>
#<alt (* 1/2 (- (/ (cos (* y 2)) (sin y)) (/ 1 (sin y))))>
#<alt (- 0 z)>
#<alt (- (/ (cos (* y 2)) (sin y)) (/ 1 (sin y)))>
#<alt (pow (cos y) 2)>
#<alt (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2))>
#<alt (* (* y y) 1/24)>
#<alt (* -1/6 (* y y))>
#<alt (/ (cos (* y 2)) (sin y))>
#<alt (/ 1 (sin y))>

Outputs
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt x>
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt x>
#<alt (+ x (* -1 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (* 1/24 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))>
#<alt (* 1/24 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))>
#<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) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (* 1/24 (pow y 4))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 4))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* 1/24 (pow y 4))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 4))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))>
#<alt (* x (+ (cos y) (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))>
#<alt (* x (+ (cos y) (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (+ (/ z (pow y 2)) (/ (* x (cos y)) (pow y 3)))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (+ (/ z (pow y 2)) (/ (* x (cos y)) (pow y 3)))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (* x (cos y)) (pow y 3))) (* 1/6 z)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (* x (cos y)) (pow y 3))) (* 1/6 z)))))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* z (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ (* x (cos y)) z)))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))>
#<alt (* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))>
#<alt (* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))>
#<alt (* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))>
#<alt (* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))>
#<alt (* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))>
#<alt (* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))>
#<alt (* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -2 y)>
#<alt (* y (- (* 1/3 (pow y 2)) 2))>
#<alt (* y (- (* (pow y 2) (+ 1/3 (* -1/60 (pow y 2)))) 2))>
#<alt (* y (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/2520 (pow y 2)) 1/60)))) 2))>
#<alt (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))>
#<alt (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))>
#<alt (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))>
#<alt (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))>
#<alt (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))>
#<alt (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))>
#<alt (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))>
#<alt (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* y z)>
#<alt (* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -11/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (- (* 127/360 (pow y 2)) 11/6))) y)>
#<alt (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 127/360 (* -221/15120 (pow y 2)))) 11/6))) y)>
#<alt (/ (cos (* 2 y)) (sin y))>
#<alt (/ (cos (* 2 y)) (sin y))>
#<alt (/ (cos (* 2 y)) (sin y))>
#<alt (/ (cos (* 2 y)) (sin y))>
#<alt (/ (cos (* 2 y)) (sin y))>
#<alt (/ (cos (* 2 y)) (sin y))>
#<alt (/ (cos (* 2 y)) (sin y))>
#<alt (/ (cos (* 2 y)) (sin y))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>

Calls

114 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(+ (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
5.0ms	z	@	0	(+ x (* z y))
2.0ms	y	@	inf	(* (* y y) 1/24)
2.0ms	z	@	0	(* (- 0 z) (* 1/2 (- (/ (cos (* y 2)) (sin y)) (/ 1 (sin y)))))
2.0ms	y	@	inf	(+ (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))

rewrite359.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3226×	`-lowering-.f32`
3226×	`-lowering-.f64`
2492×	`/-lowering-/.f32`
2492×	`/-lowering-/.f64`
2192×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	233
1	275	195
2	2913	160
0	8754	160

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 725

Calls

Call 1

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

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

simplify338.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

5226×	`-lowering-.f32`
5226×	`-lowering-.f64`
1704×	`+-lowering-+.f64`
1704×	`+-lowering-+.f32`
1362×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	5024
1	1280	4662
2	4616	4652
0	8457	4652

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
x
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* 1/24 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x)))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))
(* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))
(* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* x (cos y))
(* x (+ (cos y) (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))
(* x (+ (cos y) (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))
(* x (+ (cos y) (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* y (* z (+ 1 (* -1/6 (pow y 2))))) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (+ (/ z (pow y 2)) (/ (* x (cos y)) (pow y 3)))))
(* (pow y 3) (+ (* -1/6 z) (+ (/ z (pow y 2)) (/ (* x (cos y)) (pow y 3)))))
(* -1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (* x (cos y)) (pow y 3))) (* 1/6 z)))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (* x (cos y)) (pow y 3))) (* 1/6 z)))))
(* x (cos y))
(+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(+ (* x (cos y)) (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ (* x (cos y)) z)))
(* z (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ (* x (cos y)) z)))
(* z (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ (* x (cos y)) z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (* x (cos y)) z)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1/2 (* z (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))
(* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))
(* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))
(* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))
(* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))
(* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))
(* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))
(* 1/2 (- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -2 y)
(* y (- (* 1/3 (pow y 2)) 2))
(* y (- (* (pow y 2) (+ 1/3 (* -1/60 (pow y 2)))) 2))
(* y (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/2520 (pow y 2)) 1/60)))) 2))
(- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))
(- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))
(- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))
(- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))
(- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))
(- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))
(- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin y)))
(- (/ (cos (* 2 y)) (sin y)) (/ 1 (sin 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)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* y z)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(/ 1 y)
(/ (+ 1 (* -11/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (- (* 127/360 (pow y 2)) 11/6))) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 127/360 (* -221/15120 (pow y 2)))) 11/6))) y)
(/ (cos (* 2 y)) (sin y))
(/ (cos (* 2 y)) (sin y))
(/ (cos (* 2 y)) (sin y))
(/ (cos (* 2 y)) (sin y))
(/ (cos (* 2 y)) (sin y))
(/ (cos (* 2 y)) (sin y))
(/ (cos (* 2 y)) (sin y))
(/ (cos (* 2 y)) (sin y))
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))

Outputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(.f64 x (+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(.f64 x (+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(.f64 x (+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y))))
x
(+ x (* y z))
(+.f64 x (*.f64 z y))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 z y) #s(literal -1/6 binary64)))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y)))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
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(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* y z)
(*.f64 z y)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 61/120 binary64)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 z #s(literal -1/3 binary64))))) (*.f64 z #s(literal -1/6 binary64))))))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(.f64 y (+.f64 z (.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -547/5040 binary64)) (+.f64 (-.f64 (.f64 z #s(literal -61/120 binary64)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 z #s(literal -1/3 binary64)))) (+.f64 (.f64 z #s(literal -2/45 binary64)) (.f64 z #s(literal -1/18 binary64)))))) (+.f64 (.f64 z #s(literal 61/120 binary64)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 z #s(literal -1/3 binary64)))))) (*.f64 z #s(literal -1/6 binary64)))))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -11/6 (pow y 2))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -11/6 binary64))) y)
(/ (+ 1 (* (pow y 2) (- (* 127/360 (pow y 2)) 11/6))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -11/6 binary64) (.f64 (.f64 y y) #s(literal 127/360 binary64))))) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 127/360 (* -221/15120 (pow y 2)))) 11/6))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -11/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 127/360 binary64) (.f64 y (.f64 y #s(literal -221/15120 binary64))))))))) y)
(/ (cos (* 2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
(/ (cos (* 2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
(/ (cos (* 2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
(/ (cos (* 2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
(/ (cos (* 2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
(/ (cos (* 2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
(/ (cos (* 2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
(/ (cos (* 2 y)) (sin y))
(/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 7/360 binary64)))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 7/360 binary64) (.f64 (.f64 y y) #s(literal 31/15120 binary64))))))) y)
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))

eval182.0ms (1.7%)

Compiler: Compiled 37392 to 2927 computations (92.2% saved)

prune214.0ms (2%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1341	21	1362
Fresh	9	12	21
Picked	4	1	5
Done	0	3	3
Total	1354	37	1391

Accuracy

100.0%

Counts

1391 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.0%	(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
▶	99.7%	(/.f64 (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
	68.6%	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
	62.9%	(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
	26.2%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
	47.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	31.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z))))))
	55.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y))))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	43.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	38.1%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
	47.2%	(+.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.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 (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	25.9%	(+.f64 (.f64 (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (sin.f64 y)) (neg.f64 (.f64 z #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 (*.f64 z #s(literal 1/2 binary64)))))
	60.9%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))) (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	41.9%	(+.f64 (.f64 y (.f64 (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) x)
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	79.3%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	55.7%	(+.f64 x (*.f64 z y))
	54.9%	(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
	42.0%	(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
▶	26.2%	(.f64 (/.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 y)) (neg.f64 (*.f64 z #s(literal 1/2 binary64))))
	15.9%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 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))))))))))
▶	16.0%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
	26.1%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))
	16.0%	(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
	7.1%	(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 z (*.f64 y y))))
	3.3%	(.f64 (.f64 x (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
	48.7%	(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (*.f64 x (/.f64 (cos.f64 y) z))))
	85.9%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
	3.1%	(.f64 z (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
▶	38.8%	(*.f64 z (sin.f64 y))
▶	16.1%	(*.f64 z y)
	15.9%	(.f64 y (+.f64 z (.f64 y (.f64 y (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
	92.8%	(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
✓	63.2%	(*.f64 x (cos.f64 y))
✓	43.6%	x

Compiler

Compiled 1221 to 787 computations (35.5% saved)

simplify154.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 y))
✓	cost-diff	64	(neg.f64 (*.f64 z #s(literal 1/2 binary64)))
✓	cost-diff	64	(.f64 (/.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 y)) (neg.f64 (*.f64 z #s(literal 1/2 binary64))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	128	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y))))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))

Rules

2268×	`sum3-define`
1888×	`sum5-define`
1840×	`-lowering-.f32`
1840×	`-lowering-.f64`
1510×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	175
1	76	172
2	199	170
3	561	168
4	1828	166
5	4599	166
0	8071	166

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))
(+ (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y))))
(* x (pow (cos y) 4))
x
(pow (cos y) 4)
(cos y)
y
4
(* (pow (cos y) 3) (* z (sin y)))
(pow (cos y) 3)
3
(* z (sin y))
z
(sin y)
(* z y)
z
y
(* (- 0 z) (* y (+ -1 (* y (* y 1/6)))))
(- 0 z)
0
z
(* y (+ -1 (* y (* y 1/6))))
y
(+ -1 (* y (* y 1/6)))
-1
(* y (* y 1/6))
(* y 1/6)
1/6
(* z (sin y))
z
(sin y)
y
(* (/ (+ (cos (* y 2)) -1) (sin y)) (neg (* z 1/2)))
(/ (+ (cos (* y 2)) -1) (sin y))
(+ (cos (* y 2)) -1)
(cos (* y 2))
(* y 2)
y
2
-1
(sin y)
(neg (* z 1/2))
(* z 1/2)
z
1/2

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

localize433.0ms (4.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (*.f64 y #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (/.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 y)) (neg.f64 (*.f64 z #s(literal 1/2 binary64))))
✓	accuracy	76.0%	(/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 y))
✓	accuracy	73.6%	(+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	97.4%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))
✓	accuracy	99.5%	(pow.f64 (cos.f64 y) #s(literal 3 binary64))
✓	accuracy	99.4%	(pow.f64 (cos.f64 y) #s(literal 4 binary64))

Results

274.0ms	64×	2	valid
59.0ms	120×	0	valid
54.0ms	72×	1	valid

Compiler

Compiled 185 to 34 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-cos: 53.0ms (28.9% of total)

ival-mult: 42.0ms (22.9% of total)

backward-pass: 38.0ms (20.7% of total)

ival-pow: 14.0ms (7.6% of total)

...c/correct-round.rkt:119:19: 10.0ms (5.5% of total)

ival-add: 7.0ms (3.8% of total)

ival-sin: 7.0ms (3.8% of total)

ival-div: 6.0ms (3.3% of total)

const: 2.0ms (1.1% of total)

ival-sub: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

series49.0ms (0.5%)

Counts

20 → 360

Calls

Call 1

Inputs
#<alt (/ (+ (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))>
#<alt (+ (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y))))>
#<alt (* x (pow (cos y) 4))>
#<alt (pow (cos y) 4)>
#<alt (* z y)>
#<alt (* (- 0 z) (* y (+ -1 (* y (* y 1/6)))))>
#<alt (- 0 z)>
#<alt (* y (+ -1 (* y (* y 1/6))))>
#<alt (+ -1 (* y (* y 1/6)))>
#<alt (* z (sin y))>
#<alt (sin y)>
#<alt (* (/ (+ (cos (* y 2)) -1) (sin y)) (neg (* z 1/2)))>
#<alt (neg (* z 1/2))>
#<alt (/ (+ (cos (* y 2)) -1) (sin y))>
#<alt (+ (cos (* y 2)) -1)>
#<alt (pow (cos y) 3)>
#<alt (* (pow (cos y) 3) (* z (sin y)))>
#<alt (* y 1/6)>
#<alt (* y (* y 1/6))>
#<alt (cos (* y 2))>

Outputs
#<alt (* z (sin y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* y (- (* -2 x) (* -3/2 x))))))>
#<alt (+ x (* y (+ z (* y (- (+ (* -2 x) (* y (- (* -5/3 z) (* -3/2 z)))) (* -3/2 x))))))>
#<alt (/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))>
#<alt (* x (cos y))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (+ (* x (cos y)) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (+ (/ (* z (* (pow (cos y) 3) (sin y))) x) (pow (cos y) 4)))>
#<alt (* x (+ (/ (* z (* (pow (cos y) 3) (sin y))) x) (pow (cos y) 4)))>
#<alt (* x (+ (/ (* z (* (pow (cos y) 3) (sin y))) x) (pow (cos y) 4)))>
#<alt (* x (pow (cos y) 4))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (* -1 (pow (cos y) 4)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (* -1 (pow (cos y) 4)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (* -1 (pow (cos y) 4)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y (+ z (* -2 (* x y)))))>
#<alt (+ x (* y (+ z (* y (+ (* -2 x) (* -5/3 (* y z)))))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (* x (pow (cos y) 4))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (+ (* (pow (cos y) 3) (sin y)) (/ (* x (pow (cos y) 4)) z)))>
#<alt (* z (+ (* (pow (cos y) 3) (sin y)) (/ (* x (pow (cos y) 4)) z)))>
#<alt (* z (+ (* (pow (cos y) 3) (sin y)) (/ (* x (pow (cos y) 4)) z)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* -1 (* z (+ (* -1 (* (pow (cos y) 3) (sin y))) (* -1 (/ (* x (pow (cos y) 4)) z)))))>
#<alt (* -1 (* z (+ (* -1 (* (pow (cos y) 3) (sin y))) (* -1 (/ (* x (pow (cos y) 4)) z)))))>
#<alt (* -1 (* z (+ (* -1 (* (pow (cos y) 3) (sin y))) (* -1 (/ (* x (pow (cos y) 4)) z)))))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt x>
#<alt (+ x (* -2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -2 x) (* 5/3 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -2 x) (* (pow y 2) (+ (* -34/45 (* x (pow y 2))) (* 5/3 x))))))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt (* x (pow (cos y) 4))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 5/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 5/3 (* -34/45 (pow y 2)))) 2)))>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (pow (cos y) 4)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* 1/6 (pow y 3))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt -1>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* y z)>
#<alt (* y (+ z (* -1/2 (* (pow y 2) (- (* 2/3 z) (* 1/3 z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/2 (* (pow y 2) (- (* -4/45 z) (+ (* -1/6 (- (* 2/3 z) (* 1/3 z))) (* -1/60 z))))) (* -1/2 (- (* 2/3 z) (* 1/3 z)))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/2 (- (* 2/3 z) (* 1/3 z))) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (- (* 2/315 z) (+ (* -1/6 (- (* -4/45 z) (+ (* -1/6 (- (* 2/3 z) (* 1/3 z))) (* -1/60 z)))) (+ (* 1/2520 z) (* 1/120 (- (* 2/3 z) (* 1/3 z)))))))) (* -1/2 (- (* -4/45 z) (+ (* -1/6 (- (* 2/3 z) (* 1/3 z))) (* -1/60 z))))))))))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -2 y)>
#<alt (* y (- (* 1/3 (pow y 2)) 2))>
#<alt (* y (- (* (pow y 2) (+ 1/3 (* -1/60 (pow y 2)))) 2))>
#<alt (* y (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/2520 (pow y 2)) 1/60)))) 2))>
#<alt (/ (- (cos (* 2 y)) 1) (sin y))>
#<alt (/ (- (cos (* 2 y)) 1) (sin y))>
#<alt (/ (- (cos (* 2 y)) 1) (sin y))>
#<alt (/ (- (cos (* 2 y)) 1) (sin y))>
#<alt (/ (- (cos (* 2 y)) 1) (sin y))>
#<alt (/ (- (cos (* 2 y)) 1) (sin y))>
#<alt (/ (- (cos (* 2 y)) 1) (sin y))>
#<alt (/ (- (cos (* 2 y)) 1) (sin y))>
#<alt (* -2 (pow y 2))>
#<alt (* (pow y 2) (- (* 2/3 (pow y 2)) 2))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* (pow y 2) (- (* 2/315 (pow y 2)) 4/45)))) 2))>
#<alt (- (cos (* 2 y)) 1)>
#<alt (- (cos (* 2 y)) 1)>
#<alt (- (cos (* 2 y)) 1)>
#<alt (- (cos (* 2 y)) 1)>
#<alt (- (cos (* 2 y)) 1)>
#<alt (- (cos (* 2 y)) 1)>
#<alt (- (cos (* 2 y)) 1)>
#<alt (- (cos (* 2 y)) 1)>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))>
#<alt (pow (cos y) 3)>
#<alt (pow (cos y) 3)>
#<alt (pow (cos y) 3)>
#<alt (pow (cos y) 3)>
#<alt (pow (cos y) 3)>
#<alt (pow (cos y) 3)>
#<alt (pow (cos y) 3)>
#<alt (pow (cos y) 3)>
#<alt (* y z)>
#<alt (* y (+ z (* -5/3 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -5/3 z) (* 17/15 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -5/3 z) (* (pow y 2) (+ (* -26/63 (* (pow y 2) z)) (* 17/15 z)))))))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* z (* (pow (cos y) 3) (sin y)))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>
#<alt (cos (* 2 y))>

Calls

90 calls:

Time	Variable		Point	Expression
16.0ms	y	@	0	(pow (cos y) 4)
7.0ms	x	@	0	(/ (+ (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))
2.0ms	y	@	-inf	(/ (+ (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))
2.0ms	y	@	inf	(/ (+ (* x (pow (cos y) 4)) (* (pow (cos y) 3) (* z (sin y)))) (pow (cos y) 3))
1.0ms	z	@	0	(* (- 0 z) (* y (+ -1 (* y (* y 1/6)))))

rewrite393.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3682×	`-lowering-.f32`
3682×	`-lowering-.f64`
2624×	`/-lowering-/.f32`
2624×	`/-lowering-/.f64`
2242×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	140
1	149	137
2	1128	135
0	8547	135

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 629

Calls

Call 1

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

Outputs
(+.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal -3 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal -3 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal -3 binary64))) (.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal -3 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 6 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 6 binary64)))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.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 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (.f64 (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (-.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 (.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
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(fma.f64 (cos.f64 y) (cos.f64 y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (cos.f64 #s(literal 0 binary64)))
(*.f64 (+.f64 (cos.f64 y) (sin.f64 y)) (-.f64 (cos.f64 y) (sin.f64 y)))

simplify369.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5148×	`-lowering-.f32`
5148×	`-lowering-.f64`
4188×	`+-lowering-+.f64`
4188×	`+-lowering-+.f32`
1202×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	2957
1	985	2870
2	3462	2834
0	8130	2834

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -2 x) (* -3/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -2 x) (* y (- (* -5/3 z) (* -3/2 z)))) (* -3/2 x))))))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (* (pow (cos y) 3) (sin y)))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(* x (pow (cos y) 4))
(* x (+ (/ (* z (* (pow (cos y) 3) (sin y))) x) (pow (cos y) 4)))
(* x (+ (/ (* z (* (pow (cos y) 3) (sin y))) x) (pow (cos y) 4)))
(* x (+ (/ (* z (* (pow (cos y) 3) (sin y))) x) (pow (cos y) 4)))
(* x (pow (cos y) 4))
(* -1 (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (* -1 (pow (cos y) 4)))))
(* -1 (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (* -1 (pow (cos y) 4)))))
(* -1 (* x (+ (* -1 (/ (* z (* (pow (cos y) 3) (sin y))) x)) (* -1 (pow (cos y) 4)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -2 x) (* -5/3 (* y z)))))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(* x (pow (cos y) 4))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y))))
(* z (* (pow (cos y) 3) (sin y)))
(* z (+ (* (pow (cos y) 3) (sin y)) (/ (* x (pow (cos y) 4)) z)))
(* z (+ (* (pow (cos y) 3) (sin y)) (/ (* x (pow (cos y) 4)) z)))
(* z (+ (* (pow (cos y) 3) (sin y)) (/ (* x (pow (cos y) 4)) z)))
(* z (* (pow (cos y) 3) (sin y)))
(* -1 (* z (+ (* -1 (* (pow (cos y) 3) (sin y))) (* -1 (/ (* x (pow (cos y) 4)) z)))))
(* -1 (* z (+ (* -1 (* (pow (cos y) 3) (sin y))) (* -1 (/ (* x (pow (cos y) 4)) z)))))
(* -1 (* z (+ (* -1 (* (pow (cos y) 3) (sin y))) (* -1 (/ (* x (pow (cos y) 4)) z)))))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
x
(+ x (* -2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -2 x) (* 5/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -2 x) (* (pow y 2) (+ (* -34/45 (* x (pow y 2))) (* 5/3 x))))))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
(* x (pow (cos y) 4))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 5/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 5/3 (* -34/45 (pow y 2)))) 2)))
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(pow (cos y) 4)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* 1/6 (pow y 2)) 1))
(* 1/6 (pow y 3))
(* (pow y 3) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 3) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 3) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 3))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))
-1
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* y z)
(* y (+ z (* -1/2 (* (pow y 2) (- (* 2/3 z) (* 1/3 z))))))
(* y (+ z (* (pow y 2) (+ (* -1/2 (* (pow y 2) (- (* -4/45 z) (+ (* -1/6 (- (* 2/3 z) (* 1/3 z))) (* -1/60 z))))) (* -1/2 (- (* 2/3 z) (* 1/3 z)))))))
(* y (+ z (* (pow y 2) (+ (* -1/2 (- (* 2/3 z) (* 1/3 z))) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (- (* 2/315 z) (+ (* -1/6 (- (* -4/45 z) (+ (* -1/6 (- (* 2/3 z) (* 1/3 z))) (* -1/60 z)))) (+ (* 1/2520 z) (* 1/120 (- (* 2/3 z) (* 1/3 z)))))))) (* -1/2 (- (* -4/45 z) (+ (* -1/6 (- (* 2/3 z) (* 1/3 z))) (* -1/60 z))))))))))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 (/ (* z (- (cos (* 2 y)) 1)) (sin y)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -2 y)
(* y (- (* 1/3 (pow y 2)) 2))
(* y (- (* (pow y 2) (+ 1/3 (* -1/60 (pow y 2)))) 2))
(* y (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/2520 (pow y 2)) 1/60)))) 2))
(/ (- (cos (* 2 y)) 1) (sin y))
(/ (- (cos (* 2 y)) 1) (sin y))
(/ (- (cos (* 2 y)) 1) (sin y))
(/ (- (cos (* 2 y)) 1) (sin y))
(/ (- (cos (* 2 y)) 1) (sin y))
(/ (- (cos (* 2 y)) 1) (sin y))
(/ (- (cos (* 2 y)) 1) (sin y))
(/ (- (cos (* 2 y)) 1) (sin y))
(* -2 (pow y 2))
(* (pow y 2) (- (* 2/3 (pow y 2)) 2))
(* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))
(* (pow y 2) (- (* (pow y 2) (+ 2/3 (* (pow y 2) (- (* 2/315 (pow y 2)) 4/45)))) 2))
(- (cos (* 2 y)) 1)
(- (cos (* 2 y)) 1)
(- (cos (* 2 y)) 1)
(- (cos (* 2 y)) 1)
(- (cos (* 2 y)) 1)
(- (cos (* 2 y)) 1)
(- (cos (* 2 y)) 1)
(- (cos (* 2 y)) 1)
1
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(pow (cos y) 3)
(* y z)
(* y (+ z (* -5/3 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -5/3 z) (* 17/15 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -5/3 z) (* (pow y 2) (+ (* -26/63 (* (pow y 2) z)) (* 17/15 z)))))))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* z (* (pow (cos y) 3) (sin y)))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))
(cos (* 2 y))

Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
x
(+ x (* y z))
(+.f64 x (*.f64 z y))
(+ x (* y (+ z (* y (- (* -2 x) (* -3/2 x))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+ x (* y (+ z (* y (- (+ (* -2 x) (* y (- (* -5/3 z) (* -3/2 z)))) (* -3/2 x))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 #s(literal -1/6 binary64) y)))))))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(/ (+ (* x (pow (cos y) 4)) (* z (* (pow (cos y) 3) (sin y)))) (pow (cos y) 3))
(/.f64 (+.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
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(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -2 binary64) (.f64 (.f64 y y) #s(literal 2/3 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 y y) #s(literal -4/45 binary64))))))))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))

eval346.0ms (3.2%)

Compiler: Compiled 27727 to 2337 computations (91.6% saved)

prune220.0ms (2.1%)

Pruning

43 alts after pruning (37 fresh and 6 done)

	Pruned	Kept	Total
New	1092	14	1106
Fresh	5	23	28
Picked	3	2	5
Done	0	4	4
Total	1100	43	1143

Accuracy

100.0%

Counts

1143 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.0%	(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
	68.6%	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
	99.0%	(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) x) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
	62.9%	(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) x) (cos.f64 y))
	63.1%	(/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
	31.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z))))))
	15.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))))))
	3.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (neg.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))))))
	55.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y))))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	43.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	38.1%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
	99.5%	(+.f64 (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	25.9%	(+.f64 (.f64 (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (sin.f64 y)) (neg.f64 (.f64 z #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 (*.f64 z #s(literal 1/2 binary64)))))
	60.9%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))) (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	15.6%	(+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)))
	41.9%	(+.f64 (.f64 y (.f64 (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) x)
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	79.3%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	55.7%	(+.f64 x (*.f64 z y))
	54.9%	(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
	42.0%	(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
	26.2%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (sin.f64 y)) (*.f64 z #s(literal 1/2 binary64)))
	25.9%	(.f64 (/.f64 (.f64 z #s(literal 1/2 binary64)) (sin.f64 y)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
	12.1%	(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y))))
	15.4%	(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
	16.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 z y))
	16.0%	(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
	7.1%	(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 z (*.f64 y y))))
	3.3%	(.f64 (.f64 x (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
	38.8%	(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
	48.7%	(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (*.f64 x (/.f64 (cos.f64 y) z))))
	85.9%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
	15.9%	(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
	3.1%	(.f64 z (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
✓	38.8%	(*.f64 z (sin.f64 y))
✓	16.1%	(*.f64 z y)
	15.9%	(.f64 y (+.f64 z (.f64 y (.f64 y (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
	16.0%	(.f64 y (.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
	3.1%	(.f64 y (.f64 z (.f64 y (.f64 y #s(literal -1/6 binary64)))))
	92.8%	(.f64 x (+.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
✓	63.2%	(*.f64 x (cos.f64 y))
✓	43.6%	x

Compiler

Compiled 2100 to 782 computations (62.8% saved)

regimes88.0ms (0.8%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	z
21.0ms	x
21.0ms	y
20.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes39.0ms (0.4%)

Counts

38 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y))))
(.f64 (.f64 x (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 z y))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(.f64 y (.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) x)
(.f64 y (+.f64 z (.f64 y (.f64 y (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (neg.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (*.f64 x (/.f64 (cos.f64 y) z))))

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

Calls

3 calls:

13.0ms	x
12.0ms	z
11.0ms	y

Results

Accuracy	Segments	Branch
90.6%	3	`x`
82.8%	3	`y`
89.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.3%)

Counts

33 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y))))
(.f64 (.f64 x (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 z y))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(.f64 y (.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) x)
(.f64 y (+.f64 z (.f64 y (.f64 y (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (neg.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))

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

Calls

3 calls:

10.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
81.2%	4	`y`
79.7%	3	`z`
76.6%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0.3%)

Counts

32 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y))))
(.f64 (.f64 x (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 z y))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(.f64 y (.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) x)
(.f64 y (+.f64 z (.f64 y (.f64 y (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (neg.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y))))
(*.f64 x (cos.f64 y))

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

Calls

3 calls:

10.0ms	y
9.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
71.1%	3	`x`
76.3%	3	`y`
71.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (0.3%)

Counts

31 → 1

Calls

Call 1

Inputs
x
(*.f64 z y)
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(.f64 z (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y))))
(.f64 (.f64 x (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(.f64 (.f64 z y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 z y))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(.f64 y (.f64 z (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal -1/6 binary64)) (/.f64 z (*.f64 y y))))
(+.f64 (.f64 y (.f64 (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)) x)
(.f64 y (+.f64 z (.f64 y (.f64 y (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (neg.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) y))))

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

Calls

3 calls:

9.0ms	z
9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
55.7%	1	`x`
55.7%	1	`z`
55.7%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)

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

Calls

3 calls:

2.0ms	z
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
43.6%	1	`y`
48.2%	3	`z`
47.1%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
43.6%	1	`x`
43.6%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.2595198256944041e-13	0.7949730569316952
19.0ms	-3.202056096092408e+134	-1.182606931439411e+128

Results

33.0ms

304×

valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 8.0ms (37% of total)

ival-cos: 7.0ms (32.3% of total)

ival-mult: 5.0ms (23.1% of total)

ival-add: 2.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.5640699871899614e+65	1.1046585200420703e+69
17.0ms	-4.0437977347016997e+43	-1.4748754431230205e+41

Results

25.0ms

256×

valid

Compiler

Compiled 274 to 205 computations (25.2% saved)

Precisions

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

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

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

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

ival-add: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	18.08072768978465	50312349.50006751
18.0ms	-221714449.32977143	-976136.0602578002

Results

32.0ms

256×

valid

Compiler

Compiled 482 to 333 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 9.0ms (39.7% of total)

ival-sin: 8.0ms (35.3% of total)

ival-mult: 4.0ms (17.6% of total)

ival-add: 1.0ms (4.4% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.5442128788596123e+98	1.0235924506808375e+99
23.0ms	-8.893983424748663e+222	-1.3590062718125898e+210

Results

26.0ms

256×

valid

Compiler

Compiled 210 to 157 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 6.0ms (34.2% of total)

ival-cos: 5.0ms (28.5% of total)

ival-sin: 5.0ms (28.5% of total)

ival-add: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (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	45	94
1	71	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -12499999999999999018525456208837414375943728421621557688046888881231037700957540559107157701893136178506170557229730686316552491368448 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7706902100043261/302231454903657293676544 binary64)) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 z #s(literal -18500000000000000443529422267723124626685952 binary64)) (.f64 z (sin.f64 y)) (if (<=.f64 z #s(literal 145000000000000005728009710115836410923129829554029484741580715720704 binary64)) (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(if (<=.f64 y #s(literal -1000000 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 37/2 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))) (*.f64 x (cos.f64 y))))
(+.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -1400000000000000102356635056556793599562623349985887098059132674217557391132909992625508774201400377734654963199576683754688639082473402625387656715539864146615028064759886186269874462089965222940690387879067648 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) x (.f64 z y)))
x

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -12499999999999999018525456208837414375943728421621557688046888881231037700957540559107157701893136178506170557229730686316552491368448 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7706902100043261/302231454903657293676544 binary64)) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 z #s(literal -18500000000000000443529422267723124626685952 binary64)) (.f64 z (sin.f64 y)) (if (<=.f64 z #s(literal 145000000000000005728009710115836410923129829554029484741580715720704 binary64)) (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(if (<=.f64 y #s(literal -1000000 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 37/2 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))) (*.f64 x (cos.f64 y))))
(+.f64 x (*.f64 z y))
(+.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -1400000000000000102356635056556793599562623349985887098059132674217557391132909992625508774201400377734654963199576683754688639082473402625387656715539864146615028064759886186269874462089965222940690387879067648 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) x (.f64 z y)))
(if (<=.f64 z #s(literal -1400000000000000102356635056556793599562623349985887098059132674217557391132909992625508774201400377734654963199576683754688639082473402625387656715539864146615028064759886186269874462089965222940690387879067648 binary64)) (.f64 y z) (if (<=.f64 z #s(literal 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944 binary64)) x (.f64 y z)))
x

soundness859.0ms (8.1%)

Rules

5226×	`-lowering-.f32`
5226×	`-lowering-.f64`
2630×	`-lowering-.f32`
2630×	`-lowering-.f64`
2168×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	381	5024
1	1280	4662
2	4616	4652
0	8457	4652
0	93	585
1	309	568
2	1079	561
3	2910	557
4	5490	557
0	8209	557

Stop Event

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

Compiler

Compiled 195 to 104 computations (46.7% saved)

preprocess46.0ms (0.4%)

Compiler: Compiled 240 to 106 computations (55.8% saved)

analyze0.0ms (0%)

sample1.3s (12.7%)

preprocess92.0ms (0.9%)

explain159.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize53.0ms (0.5%)

series7.0ms (0.1%)

rewrite240.0ms (2.3%)

simplify228.0ms (2.1%)

eval32.0ms (0.3%)

prune31.0ms (0.3%)

simplify174.0ms (1.6%)

localize319.0ms (3%)

series88.0ms (0.8%)

rewrite1.2s (11.3%)

simplify443.0ms (4.2%)

eval748.0ms (7%)

prune410.0ms (3.8%)

simplify179.0ms (1.7%)

localize478.0ms (4.5%)

series49.0ms (0.5%)

rewrite359.0ms (3.4%)

simplify338.0ms (3.2%)

eval182.0ms (1.7%)

prune214.0ms (2%)

simplify154.0ms (1.4%)

localize433.0ms (4.1%)

series49.0ms (0.5%)

rewrite393.0ms (3.7%)

simplify369.0ms (3.5%)

eval346.0ms (3.2%)

prune220.0ms (2.1%)

regimes88.0ms (0.8%)

regimes39.0ms (0.4%)

regimes34.0ms (0.3%)

regimes33.0ms (0.3%)

regimes29.0ms (0.3%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch45.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch44.0ms (0.4%)

bsearch38.0ms (0.4%)

simplify9.0ms (0.1%)

soundness859.0ms (8.1%)

preprocess46.0ms (0.4%)

end0.0ms (0%)

Profiling