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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.2s (11.7%)

Results

970.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 629.0ms

ival-cos: 221.0ms (35.2% of total)

ival-sin: 182.0ms (28.9% of total)

ival-mult: 144.0ms (22.9% of total)

ival-add: 72.0ms (11.5% of total)

const: 8.0ms (1.3% of total)

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

explain169.0ms (1.7%)

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

139.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-cos: 35.0ms (57% of total)

ival-sin: 11.0ms (17.9% of total)

ival-mult: 8.0ms (13% of total)

ival-add: 7.0ms (11.4% of total)

const: 1.0ms (1.6% 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 (0.1%)

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)

localize105.0ms (1%)

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	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Results

40.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-cos: 7.0ms (40.3% of total)

ival-sin: 5.0ms (28.8% of total)

ival-mult: 4.0ms (23% of total)

ival-add: 1.0ms (5.8% 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)))

rewrite398.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	25	18
2	211	18
3	2701	18
0	8143	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 96

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

simplify195.0ms (1.9%)

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	550
2	1080	544
3	2905	541
4	5481	541
0	8201	541

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

eval56.0ms (0.6%)

Compiler: Compiled 4672 to 353 computations (92.4% saved)

prune28.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	177	15	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	16	193

Accuracy

99.9%

Counts

193 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(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)))))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	44.6%	(/.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))))
	36.6%	(/.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 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
▶	44.5%	(/.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))))))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	43.8%	(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	82.6%	(+.f64 x (*.f64 z (sin.f64 y)))
	56.1%	(+.f64 x (*.f64 z y))
▶	55.4%	(+.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))))))))
	55.6%	(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
	99.6%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	43.9%	(*.f64 z (sin.f64 y))
	57.9%	(*.f64 x (cos.f64 y))
▶	41.7%	x

Compiler

Compiled 708 to 386 computations (45.5% saved)

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
✓	cost-diff	0	(/.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)))))))
✓	cost-diff	128	(/.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))))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(+.f64 x (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))
✓	cost-diff	0	(+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64))))))
✓	cost-diff	0	(.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64))))))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	6272	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Rules

2760×	`-lowering-.f32`
2760×	`-lowering-.f64`
1822×	`sum4-define`
1598×	`+-lowering-+.f64`
1598×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	277
1	108	267
2	329	261
3	962	261
4	3157	261
0	8423	261

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize383.0ms (3.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.7%	(-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
✓	accuracy	87.6%	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	accuracy	73.0%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	58.8%	(/.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)))))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.9%	(.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
✓	accuracy	99.8%	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	99.7%	(.f64 z (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))

Results

178.0ms	130×	1	valid
104.0ms	119×	0	valid
38.0ms	7×	2	valid

Compiler

Compiled 303 to 36 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-cos: 40.0ms (29% of total)

ival-mult: 37.0ms (26.9% of total)

backward-pass: 15.0ms (10.9% of total)

ival-add: 11.0ms (8% of total)

ival-sin: 9.0ms (6.5% of total)

...c/correct-round.rkt:119:19: 7.0ms (5.1% of total)

compiled-spec: 7.0ms (5.1% of total)

ival-sub: 6.0ms (4.4% of total)

ival-div: 5.0ms (3.6% of total)

const: 1.0ms (0.7% of total)

series50.0ms (0.5%)

Counts

18 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(/ 1 (/ (- (* z (sin y)) (* x (cos y))) (- (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
2.0ms	y	@	-inf	(- (* z (sin y)) (* x (cos y)))
2.0ms	y	@	inf	(/ 1 (/ (- (* z (sin y)) (* x (cos y))) (- (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y))))))))
2.0ms	x	@	inf	(+ x (* y (+ z (* y (+ (* x -1/2) (* z (* y -1/6)))))))
2.0ms	z	@	inf	(/ (- (* z (sin y)) (* x (cos y))) (- (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y)))))))

rewrite422.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3164×	`-lowering-.f32`
3164×	`-lowering-.f64`
2332×	`fma-lowering-fma.f32`
2332×	`fma-lowering-fma.f64`
2070×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	174
1	241	125
2	2279	125
0	8536	125

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 655

Calls

Call 1

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

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

simplify357.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5338×	`-lowering-.f32`
5338×	`-lowering-.f64`
3898×	`+-lowering-+.f64`
3898×	`+-lowering-+.f32`
1756×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	739	8222
1	2794	7247
0	8180	7247

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
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 (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
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) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
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(/ (- (* z (sin y)) (* x (cos y))) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (- (* z (sin y)) (* x (cos y))) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (- (* z (sin y)) (* x (cos y))) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (- (* z (sin y)) (* x (cos y))) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (- (* z (sin y)) (* x (cos y))) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (- (* z (sin y)) (* x (cos y))) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (- (* z (sin y)) (* x (cos y))) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (- (* z (sin y)) (* x (cos y))) (- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (sin y) (* z (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (/ (sin y) (* z (- 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* x (+ (* -1 (/ (cos y) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (/ (sin y) (* z (- 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* x (+ (* -1 (/ (cos y) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* x (- (* -1 (/ (* x (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 3) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))))) (/ (sin y) (* z (- 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (cos y) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (+ (* -1 (/ (* z (sin y)) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)
(/ (+ (* -1 (/ (* z (sin y)) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) x)
(/ (- (+ (* -1 (/ (* z (sin y)) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) x)
(/ (cos y) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (sin y)) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) x))
(* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) x))) x))) x))
(* -1 (* x (cos y)))
(- (* z (sin y)) (* x (cos y)))
(- (* z (sin y)) (* x (cos y)))
(- (* z (sin y)) (* x (cos y)))
(* z (sin y))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 x)
(- (* y z) x)
(- (* y (+ z (* 1/2 (* x y)))) x)
(- (* y (+ z (* y (- (* -1/6 (* y z)) (* -1/2 x))))) x)
(- (* 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)))
(* z (sin y))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(* -1 (* x (cos y)))
(* x (- (/ (* z (sin y)) x) (cos y)))
(* x (- (/ (* z (sin y)) x) (cos y)))
(* x (- (/ (* z (sin y)) x) (cos y)))
(* -1 (* x (cos y)))
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) (* -1 (cos y)))))
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) (* -1 (cos y)))))
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) (* -1 (cos 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 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 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))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
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(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
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(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
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(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- (+ 1/2 (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) (* 1/2 (cos (* 2 y)))))
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(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))

Outputs
x
(+ x (* y z))
(+.f64 x (*.f64 y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal -1/6 binary64)))))))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(.f64 x (+.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(.f64 x (+.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(.f64 x (+.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 z (/.f64 (sin.f64 y) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 z (/.f64 (sin.f64 y) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 z (/.f64 (sin.f64 y) x))) (-.f64 #s(literal 0 binary64) x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* 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))
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(*.f64 x (cos.f64 y))
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(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
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(*.f64 x (cos.f64 y))
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(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 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 #s(literal -1/2 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
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eval218.0ms (2.2%)

Compiler: Compiled 51230 to 2934 computations (94.3% saved)

prune202.0ms (2%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1227	23	1250
Fresh	5	5	10
Picked	1	4	5
Done	0	1	1
Total	1233	33	1266

Accuracy

100.0%

Counts

1266 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.6%	(/.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 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
	28.4%	(/.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))
	57.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
	57.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
✓	44.5%	(/.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))))))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	35.9%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (.f64 x x))))
	17.4%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (.f64 z z) (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 y)) (/.f64 z (*.f64 x x))))))
	55.1%	(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	55.2%	(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
✓	82.6%	(+.f64 x (*.f64 z (sin.f64 y)))
▶	56.1%	(+.f64 x (*.f64 z y))
	7.9%	(+.f64 x (.f64 y (+.f64 z (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))))))))))
	55.2%	(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
✓	55.4%	(+.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))))))))
	55.6%	(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
	49.6%	(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
▶	39.6%	(+.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
	39.8%	(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
	39.8%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	90.5%	(.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x))
	50.5%	(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z) (/.f64 x z))))
	91.1%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
▶	77.8%	(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
	43.9%	(*.f64 z (sin.f64 y))
	18.2%	(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	73.7%	(.f64 x (+.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
	57.9%	(*.f64 x (cos.f64 y))
	2.8%	(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
✓	41.7%	x

Compiler

Compiled 1253 to 763 computations (39.1% saved)

simplify234.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) (/.f64 x z))
✓	cost-diff	128	(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
✓	cost-diff	0	(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(.f64 z (.f64 y y))
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y)))
✓	cost-diff	0	(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))))
✓	cost-diff	0	(+.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(+.f64 x (*.f64 z y))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))

Rules

2852×	`-lowering-.f32`
2852×	`-lowering-.f64`
1720×	`+-lowering-+.f64`
1720×	`+-lowering-+.f32`
1276×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	231
1	97	216
2	317	211
3	949	208
4	2424	208
5	5622	208
6	6522	208
7	6986	208
8	7548	208
0	8035	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize238.0ms (2.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (sin.f64 y) (/.f64 x z))
✓	accuracy	91.1%	(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal -1/5040 binary64))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))
✓	accuracy	99.2%	(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y)))
✓	accuracy	88.6%	(.f64 z (.f64 y y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z y))
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(*.f64 (sin.f64 y) z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))

Results

189.0ms

256×

valid

Compiler

Compiled 276 to 34 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 22.0ms (29.8% of total)

...c/correct-round.rkt:119:19: 15.0ms (20.3% of total)

ival-div: 12.0ms (16.3% of total)

ival-add: 10.0ms (13.6% of total)

ival-cos: 9.0ms (12.2% of total)

ival-sin: 6.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

series64.0ms (0.6%)

Counts

23 → 564

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* x (cos y)) (* (sin y) z))))>
#<alt (/ 1 (+ (* x (cos y)) (* (sin y) z)))>
#<alt (+ (* x (cos y)) (* (sin y) z))>
#<alt (* x (cos y))>
#<alt (+ x (* z y))>
#<alt (* z y)>
#<alt (+ x (* y (* -1/6 (* z (* y y)))))>
#<alt (* y (* -1/6 (* z (* y y))))>
#<alt (* -1/6 (* z (* y y)))>
#<alt (* z (* y y))>
#<alt (+ x (* z (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))))>
#<alt (* z (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))))>
#<alt (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))>
#<alt (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))>
#<alt (* z (+ (sin y) (/ x z)))>
#<alt (+ (sin y) (/ x z))>
#<alt (sin y)>
#<alt (/ x z)>
#<alt (* (sin y) z)>
#<alt (* y y)>
#<alt (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))>
#<alt (* (* y y) -1/5040)>
#<alt (* (* y y) (+ 1/120 (* (* y y) -1/5040)))>

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

Calls

141 calls:

Time	Variable		Point	Expression
26.0ms	y	@	inf	(* z (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))))
6.0ms	z	@	0	(/ 1 (+ (* x (cos y)) (* (sin y) z)))
2.0ms	y	@	-inf	(/ 1 (+ (* x (cos y)) (* (sin y) z)))
1.0ms	x	@	0	(+ x (* z (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6))))))
1.0ms	z	@	0	(* z (* y (+ 1 (* (* y y) (+ (* (* y y) (+ 1/120 (* (* y y) -1/5040))) -1/6)))))

rewrite424.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2904×	`-lowering-.f32`
2904×	`-lowering-.f64`
2798×	`fma-lowering-fma.f32`
2798×	`fma-lowering-fma.f64`
2072×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	188
1	217	175
2	1988	169
0	8412	169

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 524

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z)) (.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))))
(+.f64 (.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (sin.f64 y) z) #s(literal 1 binary64)) (.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)) (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) z) (.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 (sin.f64 y) z) (.f64 x (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y)) (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) z) (.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) z) #s(literal 1 binary64) (.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) (-.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)))))
(/.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(/.f64 #s(literal -1 binary64) (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 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) (-.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #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 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 x (.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 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 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))
(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.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 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 x (.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))
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simplify343.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4618×	`-lowering-.f32`
4618×	`-lowering-.f64`
2576×	`+-lowering-+.f64`
2576×	`+-lowering-+.f32`
1518×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	5244
1	1487	4635
2	5503	4599
0	8392	4599

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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

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

eval171.0ms (1.7%)

Compiler: Compiled 28281 to 2402 computations (91.5% saved)

prune220.0ms (2.2%)

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	1143	18	1161
Fresh	5	18	23
Picked	3	2	5
Done	1	4	5
Total	1152	42	1194

Accuracy

100.0%

Counts

1194 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
	36.6%	(/.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 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
	27.7%	(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) z) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (/.f64 x z) (sin.f64 y)) (/.f64 z x))))
	28.4%	(/.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))
	57.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
	57.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
	38.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
✓	44.5%	(/.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))))))))
	23.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
	43.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
▶	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	35.9%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
	55.1%	(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
	39.6%	(+.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z)))) x)
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	55.2%	(+.f64 x (.f64 z (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 y (.f64 y y))) y)))
	28.9%	(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))
✓	82.6%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	56.1%	(+.f64 x (*.f64 z y))
	55.2%	(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
	55.6%	(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
▶	49.6%	(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
▶	39.8%	(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
	39.8%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	36.9%	(*.f64 z (/.f64 x z))
	50.5%	(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z) (/.f64 x z))))
▶	91.1%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
✓	77.8%	(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
	51.4%	(*.f64 z (+.f64 y (/.f64 x z)))
	18.1%	(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
	2.8%	(.f64 z (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	77.6%	(.f64 z (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))))
	43.9%	(*.f64 z (sin.f64 y))
▶	18.6%	(*.f64 z y)
	18.2%	(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	73.7%	(.f64 x (+.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
	54.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
	57.9%	(*.f64 x (cos.f64 y))
	2.8%	(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
✓	41.7%	x

Compiler

Compiled 1452 to 890 computations (38.7% saved)

simplify283.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

5164×	`-lowering-.f32`
5164×	`-lowering-.f64`
2944×	`associate-/r/`
1820×	`+-lowering-+.f64`
1820×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	202
1	82	192
2	228	190
3	647	183
4	2046	172
5	3601	172
6	4832	172
7	5366	172
8	5739	172
9	7265	172
10	7375	172
11	7519	172
0	8803	172

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize208.0ms (2.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓	accuracy	92.5%	(+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y))) x) (/.f64 z x))
✓	accuracy	88.9%	(.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y))) x) (/.f64 z x))))
✓	accuracy	88.6%	(.f64 z (.f64 y y))
✓	accuracy	88.5%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y))) x)
✓	accuracy	100.0%	(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x y))
✓	accuracy	99.8%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(+.f64 (sin.f64 y) (/.f64 (*.f64 x (cos.f64 y)) z))
✓	accuracy	99.9%	(/.f64 (*.f64 x (cos.f64 y)) z)
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	91.1%	(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))

Results

163.0ms

256×

valid

Compiler

Compiled 224 to 31 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 22.0ms (39.3% of total)

ival-div: 9.0ms (16.1% of total)

ival-sin: 8.0ms (14.3% of total)

ival-add: 6.0ms (10.7% of total)

ival-cos: 5.0ms (8.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (7.1% of total)

const: 1.0ms (1.8% of total)

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

series88.0ms (0.9%)

Counts

19 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Expression
51.0ms	y	@	(/ 1 (* x (cos y)))
3.0ms	z	@	(+ (/ (* -1/6 (* z (* y y))) x) (/ z x))
2.0ms	z	@	(/ (* x (cos y)) z)
2.0ms	y	@	(+ (sin y) (/ (* x (cos y)) z))
1.0ms	x	@	(* x (+ (* y -1/2) (+ (/ (* -1/6 (* z (* y y))) x) (/ z x))))

rewrite446.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5280×	`-lowering-.f32`
5280×	`-lowering-.f64`
2878×	`+-lowering-+.f64`
2878×	`+-lowering-+.f32`
2826×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	151
1	177	142
2	1757	134
0	9756	134

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 499

Calls

Call 1

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

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

simplify390.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5384×	`-lowering-.f32`
5384×	`-lowering-.f64`
3532×	`+-lowering-+.f64`
3532×	`+-lowering-+.f32`
1566×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	4703
1	1049	4245
2	3809	4113
0	8450	4113

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

eval163.0ms (1.6%)

Compiler: Compiled 21705 to 2470 computations (88.6% saved)

prune170.0ms (1.7%)

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	1100	10	1110
Fresh	7	24	31
Picked	2	3	5
Done	1	5	6
Total	1110	42	1152

Accuracy

100.0%

Counts

1152 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(/.f64 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
	36.6%	(/.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 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
	27.7%	(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) z) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (/.f64 x z) (sin.f64 y)) (/.f64 z x))))
	28.4%	(/.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))
	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
	57.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
	38.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
	23.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
	43.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
	40.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	35.9%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
	55.1%	(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
✓	99.8%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	39.8%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
	40.2%	(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
	55.2%	(+.f64 x (.f64 z (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 y (.f64 y y))) y)))
	28.9%	(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))
✓	82.6%	(+.f64 x (*.f64 z (sin.f64 y)))
✓	56.1%	(+.f64 x (*.f64 z y))
	55.2%	(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
	55.6%	(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
✓	49.6%	(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
✓	39.8%	(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
	49.1%	(.f64 (.f64 (cos.f64 y) (/.f64 x z)) z)
	43.7%	(.f64 (.f64 z x) (/.f64 (cos.f64 y) z))
	57.9%	(*.f64 (cos.f64 y) x)
	36.9%	(*.f64 z (/.f64 x z))
✓	77.8%	(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
	91.0%	(.f64 z (+.f64 (sin.f64 y) (.f64 (/.f64 (cos.f64 y) z) x)))
	51.4%	(*.f64 z (+.f64 y (/.f64 x z)))
	18.1%	(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
	2.8%	(.f64 z (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	77.6%	(.f64 z (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))))
	43.9%	(*.f64 z (sin.f64 y))
✓	18.6%	(*.f64 z y)
	18.2%	(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	2.8%	(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))))
	73.7%	(.f64 x (+.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
	54.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
	2.7%	(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
✓	41.7%	x

Compiler

Compiled 1913 to 761 computations (60.2% saved)

regimes86.0ms (0.9%)

Counts

67 → 1

Calls

Call 1

Inputs
x
(*.f64 z y)
(*.f64 z (/.f64 x z))
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))))
(.f64 z (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z)))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 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 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z) (/.f64 x z))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 z (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 y (.f64 y y))) y)))
(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (.f64 z z) (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (+.f64 z (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))))))))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (.f64 z x) (/.f64 (cos.f64 y) z))
(.f64 (.f64 (cos.f64 y) (/.f64 x z)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
(.f64 x (+.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(.f64 z (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 z (+.f64 (sin.f64 y) (.f64 (/.f64 (cos.f64 y) z) x)))
(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(/.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 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (+.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 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) z) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (/.f64 x z) (sin.f64 y)) (/.f64 z x))))
(.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 (+.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)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x))
(-.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))))))
(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 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))

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

Calls

4 calls:

21.0ms	z
20.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
19.0ms	x
19.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes78.0ms (0.8%)

Counts

57 → 1

Calls

Call 1

Inputs
x
(*.f64 z y)
(*.f64 z (/.f64 x z))
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))))
(.f64 z (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z)))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 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 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z) (/.f64 x z))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 z (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 y (.f64 y y))) y)))
(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (.f64 z z) (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (+.f64 z (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))))))))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (.f64 z x) (/.f64 (cos.f64 y) z))
(.f64 (.f64 (cos.f64 y) (/.f64 x z)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
(.f64 x (+.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(.f64 z (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 z (+.f64 (sin.f64 y) (.f64 (/.f64 (cos.f64 y) z) x)))
(.f64 z (+.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(/.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 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))

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

Calls

4 calls:

19.0ms	z
17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	x
17.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes58.0ms (0.6%)

Counts

48 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(*.f64 z (/.f64 x z))
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))))
(.f64 z (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z)))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 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 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z) (/.f64 x z))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 z (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 y (.f64 y y))) y)))
(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (.f64 z z) (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (+.f64 z (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))))))))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (.f64 z x) (/.f64 (cos.f64 y) z))
(.f64 (.f64 (cos.f64 y) (/.f64 x z)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)))
(.f64 x (+.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(.f64 z (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sin.f64 y) x))))

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

Calls

3 calls:

23.0ms	z
16.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
90.6%	3	`x`
82.6%	1	`y`
89.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes103.0ms (1%)

Counts

39 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(*.f64 z (/.f64 x z))
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))))
(.f64 z (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z)))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 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 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z) (/.f64 x z))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 z (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 y (.f64 y y))) y)))
(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (.f64 z z) (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (+.f64 z (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))))))))))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)

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

Calls

3 calls:

34.0ms	z
33.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
81.1%	3	`y`
77.8%	4	`z`
76.3%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.4%)

Counts

37 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)
(*.f64 z (/.f64 x z))
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))))
(.f64 z (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z)))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 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 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z) (/.f64 x z))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 z (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 y (.f64 y y))) y)))
(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (.f64 z z) (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (+.f64 z (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))))))))))
(*.f64 x (cos.f64 y))

Outputs

(*.f64 x (cos.f64 y))

(+.f64 x (*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))

(*.f64 x (cos.f64 y))

Calls

3 calls:

12.0ms	y
11.0ms	z
10.0ms	x

Results

Accuracy	Segments	Branch
68.8%	3	`z`
68.5%	3	`x`
73.5%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

Inputs
x
(*.f64 z y)
(*.f64 z (/.f64 x z))
(+.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)))
(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))))
(.f64 z (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y)))))
(+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(+.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z)))) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y z) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 z y) (.f64 x x))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 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 (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x x)) (-.f64 (*.f64 y z) x))
(+.f64 (+.f64 x (.f64 y z)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))))
(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 x (.f64 y (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 y y))) x) (/.f64 z x))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z) (/.f64 x z))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 z (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 y (.f64 y y))) y)))
(+.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (.f64 z z) (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 y)) (/.f64 z (*.f64 x x))))))
(+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (+.f64 z (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64))))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 z (.f64 y #s(literal -1/6 binary64)))))))))))

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

Calls

3 calls:

14.0ms	z
11.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
56.1%	1	`x`
56.1%	1	`z`
56.1%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
41.7%	1	`y`
47.9%	3	`z`
45.3%	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:

2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
41.7%	1	`x`
41.7%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch63.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.0329398173623876e+90	8.753213535743448e+93
39.0ms	-1.8296408952636925e+96	-5.643652017834433e+92

Results

52.0ms

256×

valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 10.0ms (49.4% of total)

ival-sin: 5.0ms (24.7% of total)

ival-mult: 4.0ms (19.8% of total)

ival-add: 1.0ms (4.9% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.7164766302332e-9	3.2679994786490982
20.0ms	-6220101.024767593	-0.003538738071303798

Results

28.0ms

288×

valid

Compiler

Compiled 432 to 301 computations (30.3% saved)

Precisions

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

ival-mult: 5.0ms (35.2% of total)

ival-cos: 4.0ms (28.2% of total)

ival-sin: 4.0ms (28.2% of total)

ival-add: 1.0ms (7% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	3.2679994786490982	29745867141.205936
13.0ms	-3.946187993219326e-8	-1.3782735441280267e-9

Results

33.0ms

272×

valid

Compiler

Compiled 647 to 421 computations (34.9% saved)

Precisions

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

ival-sin: 10.0ms (43.2% of total)

ival-cos: 7.0ms (30.3% of total)

ival-mult: 4.0ms (17.3% of total)

ival-add: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.10947781364966e+94	2.7227363204479402e+98
30.0ms	-1.4694658339764054e+100	-4.152040627809185e+93

Results

28.0ms

272×

valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

Precisions

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

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

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

ival-mult: 4.0ms (22.8% of total)

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

const: 0.0ms (0% of total)

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
18×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	117
1	91	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -51999999999999998087104230136814640562539792584736161495452789082417768849790393484076168249344 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 21999999999999999941119752615105383656140334322923471143306657541039634538319124371469238272 binary64)) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -208967022709991/36028797018963968 binary64)) (.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 5072854620270127/4611686018427387904 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x))))) (*.f64 z (sin.f64 y))))
(if (<=.f64 y #s(literal -5893513370621317/151115727451828646838272 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (.f64 x (cos.f64 y))))
(+.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -11000000000000000369198691429932005607143080102691700193000144218736574774568660140785245504963346432 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 480000000000000009705061981034854554516526235142891715746132890979841922399118868492174957215744 binary64)) x (.f64 z y)))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -51999999999999998087104230136814640562539792584736161495452789082417768849790393484076168249344 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 21999999999999999941119752615105383656140334322923471143306657541039634538319124371469238272 binary64)) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -51999999999999998087104230136814640562539792584736161495452789082417768849790393484076168249344 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 21999999999999999941119752615105383656140334322923471143306657541039634538319124371469238272 binary64)) (+.f64 x (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -208967022709991/36028797018963968 binary64)) (.f64 z (sin.f64 y)) (if (<=.f64 y #s(literal 5072854620270127/4611686018427387904 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x))))) (*.f64 z (sin.f64 y))))
(if (<=.f64 y #s(literal -208967022709991/36028797018963968 binary64)) (.f64 (sin.f64 y) z) (if (<=.f64 y #s(literal 5072854620270127/4611686018427387904 binary64)) (+.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y x))))) (*.f64 (sin.f64 y) z)))
(if (<=.f64 y #s(literal -5893513370621317/151115727451828646838272 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) (+.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (.f64 x (cos.f64 y))))
(+.f64 x (*.f64 z y))
(+.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -11000000000000000369198691429932005607143080102691700193000144218736574774568660140785245504963346432 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 480000000000000009705061981034854554516526235142891715746132890979841922399118868492174957215744 binary64)) x (.f64 z y)))
(if (<=.f64 z #s(literal -11000000000000000369198691429932005607143080102691700193000144218736574774568660140785245504963346432 binary64)) (.f64 y z) (if (<=.f64 z #s(literal 480000000000000009705061981034854554516526235142891715746132890979841922399118868492174957215744 binary64)) x (.f64 y z)))
x

soundness1.9s (19.1%)

Rules

5338×	`-lowering-.f32`
5338×	`-lowering-.f64`
4618×	`-lowering-.f32`
4618×	`-lowering-.f64`
3898×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	5244
1	1487	4635
2	5503	4599
0	8392	4599
0	739	8222
1	2794	7247
0	8180	7247
0	93	585
1	309	550
2	1080	544
3	2905	541
4	5481	541
0	8201	541
0	8	18
1	25	18
2	211	18
3	2701	18
0	8143	18

Stop Event

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

Compiler

Compiled 253 to 136 computations (46.2% saved)

preprocess56.0ms (0.6%)

Compiler: Compiled 286 to 128 computations (55.2% saved)

analyze0.0ms (0%)

sample1.2s (11.7%)

preprocess92.0ms (0.9%)

explain169.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize105.0ms (1%)

series7.0ms (0.1%)

rewrite398.0ms (3.9%)

simplify195.0ms (1.9%)

eval56.0ms (0.6%)

prune28.0ms (0.3%)

simplify176.0ms (1.7%)

localize383.0ms (3.8%)

series50.0ms (0.5%)

rewrite422.0ms (4.2%)

simplify357.0ms (3.5%)

eval218.0ms (2.2%)

prune202.0ms (2%)

simplify234.0ms (2.3%)

localize238.0ms (2.4%)

series64.0ms (0.6%)

rewrite424.0ms (4.2%)

simplify343.0ms (3.4%)

eval171.0ms (1.7%)

prune220.0ms (2.2%)

simplify283.0ms (2.8%)

localize208.0ms (2.1%)

series88.0ms (0.9%)

rewrite446.0ms (4.4%)

simplify390.0ms (3.9%)

eval163.0ms (1.6%)

prune170.0ms (1.7%)

regimes86.0ms (0.9%)

regimes78.0ms (0.8%)

regimes58.0ms (0.6%)

regimes103.0ms (1%)

regimes39.0ms (0.4%)

regimes38.0ms (0.4%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch63.0ms (0.6%)

bsearch40.0ms (0.4%)

bsearch47.0ms (0.5%)

bsearch50.0ms (0.5%)

simplify14.0ms (0.1%)

soundness1.9s (19.1%)

preprocess56.0ms (0.6%)

end0.0ms (0%)

Profiling