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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.4s (13.5%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 660.0ms

ival-sin: 256.0ms (38.8% of total)

ival-cos: 208.0ms (31.5% of total)

ival-mult: 128.0ms (19.4% of total)

ival-add: 57.0ms (8.6% of total)

const: 8.0ms (1.2% of total)

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

Bogosity

preprocess98.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain218.0ms (2.1%)

FPErrors

Click to see full error table

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

Results

184.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-cos: 19.0ms (37.9% of total)

ival-sin: 17.0ms (33.9% of total)

ival-mult: 10.0ms (20% of total)

ival-add: 3.0ms (6% of total)

const: 1.0ms (2% 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 (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize64.0ms (0.6%)

Localize:

Found 4 expressions of interest:

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

Results

37.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-sin: 8.0ms (43.9% of total)

ival-cos: 5.0ms (27.4% of total)

ival-mult: 4.0ms (21.9% of total)

ival-add: 1.0ms (5.5% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite272.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	25	20
2	211	20
3	2701	20
0	8147	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 97

Calls

Call 1

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

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

simplify209.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	645
1	362	598
2	1195	591
3	3577	586
4	6580	586
0	8166	586

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval22.0ms (0.2%)

Compiler: Compiled 4827 to 361 computations (92.5% saved)

prune29.0ms (0.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	189	16	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	17	206

Accuracy

100.0%

Counts

206 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	56.2%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	42.7%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	42.3%	(-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	58.2%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	76.2%	(+.f64 (*.f64 x (sin.f64 y)) z)
	51.7%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
	51.8%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	53.7%	(+.f64 z (*.f64 y x))
	42.3%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) #s(literal -1 binary64)))
	42.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
▶	99.6%	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	65.0%	(*.f64 z (cos.f64 y))
▶	37.0%	(*.f64 x (sin.f64 y))
▶	41.8%	z

Compiler

Compiled 742 to 414 computations (44.2% saved)

simplify178.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	cost-diff	26624	(.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
✓	cost-diff	26752	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	6272	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))

Rules

2626×	`-lowering-.f32`
2626×	`-lowering-.f64`
1534×	`fma-define`
1472×	`sum4-define`
1302×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	119
1	42	119
2	91	119
3	303	119
4	2138	119
5	7707	119
0	8024	119

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize141.0ms (1.3%)

Localize:

Found 14 expressions of interest:

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

Results

103.0ms

256×

valid

Compiler

Compiled 178 to 17 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 8.0ms (21.9% of total)

ival-sin: 8.0ms (21.9% of total)

ival-cos: 6.0ms (16.4% of total)

ival-div: 5.0ms (13.7% of total)

compiled-spec: 4.0ms (10.9% of total)

ival-add: 3.0ms (8.2% of total)

ival-sub: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Counts

11 → 324

Calls

Call 1

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

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

Calls

81 calls:

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

rewrite475.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5086×	`-lowering-.f32`
5086×	`-lowering-.f64`
3468×	`/-lowering-/.f32`
3468×	`/-lowering-/.f64`
1630×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	100	63
2	579	63
0	8561	63

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 995

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (neg.f64 (.f64 (sin.f64 y) (neg.f64 x))))
(+.f64 (.f64 z (cos.f64 y)) (.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))))
(+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y))) z (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)))))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (cos.f64 y) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)))))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)))))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (-.f64 #s(literal 0 binary64) z) (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)))))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (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)))) (neg.f64 (.f64 z z))) (.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 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 #s(literal 0 binary64) (.f64 z (cos.f64 y))))))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (.f64 (.f64 #s(literal 0 binary64) (.f64 z (cos.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 (.f64 z z))) (.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 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 #s(literal 0 binary64) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 z (cos.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (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)))) (.f64 x x)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (neg.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 (sin.f64 y) x) (.f64 z (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)))) (.f64 x x)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (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)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))
(+.f64 (fma.f64 (sin.f64 y) x (neg.f64 (.f64 (.f64 z (cos.f64 y)) #s(literal -1 binary64)))) (fma.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) #s(literal -1 binary64) (.f64 (*.f64 z (cos.f64 y)) #s(literal -1 binary64))))
(+.f64 (fma.f64 x (sin.f64 y) (neg.f64 (.f64 (.f64 z (cos.f64 y)) #s(literal -1 binary64)))) (fma.f64 (.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))) #s(literal -1 binary64) (.f64 (*.f64 z (cos.f64 y)) #s(literal -1 binary64))))
(+.f64 (neg.f64 (.f64 (sin.f64 y) (neg.f64 x))) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 (.f64 z z)))))
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simplify383.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3464×	`-lowering-.f32`
3464×	`-lowering-.f64`
1636×	`fma-lowering-fma.f32`
1636×	`fma-lowering-fma.f64`
1632×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	3293
1	1364	2960
2	4958	2912
0	8227	2912

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval274.0ms (2.6%)

Compiler: Compiled 81886 to 2654 computations (96.8% saved)

prune217.0ms (2.1%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1951	18	1969
Fresh	4	7	11
Picked	3	2	5
Done	0	1	1
Total	1958	28	1986

Accuracy

100.0%

Counts

1986 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.2%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	47.7%	(pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	99.6%	(/.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
	47.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	34.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 z (cos.f64 y)) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
	64.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z))
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
	64.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	41.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	37.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
	28.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (-.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (/.f64 (/.f64 (.f64 x x) z) z) z))) (/.f64 x (.f64 z z))))))
	42.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.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 x x)) (.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 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
▶	58.2%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	76.2%	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	51.7%	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
	51.8%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	53.7%	(+.f64 z (*.f64 y x))
	42.3%	(.f64 (pow.f64 (/.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 x x)) (.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 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
▶	42.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (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 x x)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
	53.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
	47.5%	(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
	92.1%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	65.0%	(*.f64 z (cos.f64 y))
	14.8%	(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	37.0%	(*.f64 x (sin.f64 y))
▶	15.4%	(*.f64 x y)
✓	41.8%	z

Compiler

Compiled 1177 to 652 computations (44.6% saved)

simplify268.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sin.f64 y) x)
✓	cost-diff	0	(-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (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 x x)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
✓	cost-diff	0	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal -1/6 binary64))))
✓	cost-diff	0	(+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64))))))
✓	cost-diff	0	(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 (sin.f64 y) x)
✓	cost-diff	0	(-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
✓	cost-diff	26752	(/.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))

Rules

2358×	`-lowering-.f32`
2358×	`-lowering-.f64`
1982×	`fma-lowering-fma.f32`
1982×	`fma-lowering-fma.f64`
1662×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	373
1	135	326
2	427	318
3	1477	318
4	5002	318
0	8082	318

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize472.0ms (4.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.8%	(-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x x)) (.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	88.7%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x x))
✓	accuracy	71.5%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	53.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (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 x x)) (.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	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	95.2%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
✓	accuracy	100.0%	(+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64)))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal -1/6 binary64))))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (*.f64 y x) #s(literal -1/6 binary64))))))
✓	accuracy	99.6%	(.f64 (.f64 y x) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(*.f64 (sin.f64 y) x)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))

Results

211.0ms	117×	1	valid
158.0ms	128×	0	valid
23.0ms	11×	2	valid

Compiler

Compiled 395 to 45 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 58.0ms (32.4% of total)

ival-cos: 45.0ms (25.2% of total)

...c/correct-round.rkt:119:19: 22.0ms (12.3% of total)

backward-pass: 17.0ms (9.5% of total)

ival-add: 14.0ms (7.8% of total)

ival-div: 9.0ms (5% of total)

ival-sin: 8.0ms (4.5% of total)

ival-sub: 6.0ms (3.4% of total)

const: 1.0ms (0.6% of total)

series69.0ms (0.7%)

Counts

22 → 660

Calls

Call 1

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

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

Calls

165 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(* (/ 1 (- (* (sin y) x) (* z (cos y)))) (- (* (- 1/2 (* 1/2 (cos (* 2 y)))) (* x x)) (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
6.0ms	y	@	-inf	(/ (- (* (sin y) x) (* z (cos y))) (* (- (* (sin y) x) (* z (cos y))) (/ 1 (+ (* z (cos y)) (* (sin y) x)))))
3.0ms	y	@	0	(* x y)
2.0ms	y	@	-inf	(+ z (* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))))
2.0ms	y	@	inf	(* (/ 1 (- (* (sin y) x) (* z (cos y)))) (- (* (- 1/2 (* 1/2 (cos (* 2 y)))) (* x x)) (* (* z z) (+ 1/2 (* 1/2 (cos (* 2 y)))))))

rewrite397.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3876×	`-lowering-.f32`
3876×	`-lowering-.f64`
1590×	`pow-lowering-pow.f64`
1590×	`pow-lowering-pow.f32`
1444×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	238
1	290	174
2	2846	174
0	8559	174

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 554

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (+.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
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simplify384.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

5796×	`-lowering-.f32`
5796×	`-lowering-.f64`
3038×	`+-lowering-+.f64`
3038×	`+-lowering-+.f32`
2152×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1012	10396
1	3859	9429
0	8718	9429

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

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

eval261.0ms (2.5%)

Compiler: Compiled 57858 to 2935 computations (94.9% saved)

prune245.0ms (2.3%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1564	12	1576
Fresh	9	11	20
Picked	4	1	5
Done	0	3	3
Total	1577	27	1604

Accuracy

100.0%

Counts

1604 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	34.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 z (cos.f64 y)) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
	64.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z))
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
	64.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	41.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	37.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
	28.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (-.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (/.f64 (/.f64 (.f64 x x) z) z) z))) (/.f64 x (.f64 z z))))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	21.1%	(+.f64 (.f64 x (sin.f64 y)) (.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y))))
▶	76.2%	(+.f64 (*.f64 x (sin.f64 y)) z)
	52.3%	(+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64))))))
	39.2%	(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z y))))
▶	53.7%	(+.f64 z (*.f64 y x))
	42.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (-.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.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 #s(literal 2 binary64) y)))))))
	11.8%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (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)))))))
▶	92.1%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	65.0%	(*.f64 z (cos.f64 y))
▶	14.8%	(.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y y)))))
▶	25.0%	(.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
	44.0%	(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (+.f64 (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (sin.f64 y))))))
	87.9%	(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
✓	37.0%	(*.f64 x (sin.f64 y))
✓	15.4%	(*.f64 x y)
	2.8%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
	2.7%	(.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y)))
✓	41.8%	z

Compiler

Compiled 825 to 546 computations (33.8% saved)

simplify268.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

5624×	`-lowering-.f32`
5624×	`-lowering-.f64`
2724×	`+-lowering-+.f64`
2724×	`+-lowering-+.f32`
1886×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	147
1	63	139
2	135	139
3	250	139
4	325	136
5	366	136
6	832	136
7	2918	136
8	3893	136
9	5269	136
0	8097	136

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize500.0ms (4.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (*.f64 y #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)))
✓	accuracy	80.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
✓	accuracy	71.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	100.0%	(+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y))))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y y)))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
✓	accuracy	88.0%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(+.f64 z (*.f64 y x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(/.f64 (sin.f64 y) z)
✓	accuracy	96.0%	(*.f64 x (/.f64 (sin.f64 y) z))
✓	accuracy	92.1%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))

Results

237.0ms	76×	1	valid
125.0ms	53×	2	valid
88.0ms	127×	0	valid

Compiler

Compiled 157 to 29 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-cos: 43.0ms (36.4% of total)

ival-mult: 29.0ms (24.6% of total)

backward-pass: 13.0ms (11% of total)

ival-add: 12.0ms (10.2% of total)

ival-div: 7.0ms (5.9% of total)

...c/correct-round.rkt:119:19: 7.0ms (5.9% of total)

ival-sin: 7.0ms (5.9% of total)

const: 1.0ms (0.8% of total)

series27.0ms (0.3%)

Counts

19 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* y (+ x (* -1/6 (* x (* y y)))))
2.0ms	x	@	0	(+ (* x (sin y)) z)
1.0ms	x	@	0	(* x (/ (+ 1/2 (* -1/2 (cos (* y 2)))) (sin y)))
1.0ms	y	@	inf	(* x (/ (+ 1/2 (* -1/2 (cos (* y 2)))) (sin y)))
1.0ms	y	@	-inf	(* x (/ (+ 1/2 (* -1/2 (cos (* y 2)))) (sin y)))

rewrite404.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3770×	`-lowering-.f32`
3770×	`-lowering-.f64`
3444×	`/-lowering-/.f32`
3444×	`/-lowering-/.f64`
1840×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	121
1	139	113
2	1149	113
0	8390	113

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 467

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))))
(+.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (.f64 z (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 z z)) (.f64 z z)) (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))))))
(fma.f64 z (cos.f64 y) (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y))))
(fma.f64 z (/.f64 x (/.f64 z (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y))))
(fma.f64 x (.f64 (/.f64 (sin.f64 y) z) z) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 x (/.f64 z (sin.f64 y))) z (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 z x) (/.f64 (sin.f64 y) z) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z (/.f64 z (sin.f64 y))) x (*.f64 z (cos.f64 y)))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.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 z z)) (.f64 z z)) (.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z x) (/.f64 z (sin.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z x) (/.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (.f64 z (cos.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 z z)) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 x (/.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 z (sin.f64 y))) (cos.f64 y)))) (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 x (/.f64 z (sin.f64 y))) #s(literal 3 binary64))))))
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(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 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 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(.f64 #s(literal 1 binary64) (+.f64 #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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(/.f64 (sin.f64 y) z)
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y))))
(pow.f64 (/.f64 z (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (sin.f64 y) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos.f64 (+.f64 y y))
(-.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))))))
(fma.f64 (cos.f64 y) (cos.f64 y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))

simplify624.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

4870×	`-lowering-.f32`
4870×	`-lowering-.f64`
3680×	`+-lowering-+.f64`
3680×	`+-lowering-+.f32`
1064×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	3341
1	987	2987
2	3294	2957
0	8249	2957

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
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(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
z
(+ z (* x y))
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(+.f64 z (.f64 y (+.f64 x (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
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(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 x #s(literal -1/6 binary64))))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
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(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(.f64 x (+.f64 (sin.f64 y) (/.f64 (.f64 z (cos.f64 y)) x)))
1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (/.f64 x z)) (*.f64 y #s(literal -1/2 binary64)))))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(cos y)
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) z)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(cos y)
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
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(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
1
#s(literal 1 binary64)
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(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x (sin y)) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(/ (* x y) z)
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(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))
(.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64)))))))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (+.f64 (.f64 x #s(literal 13/360 binary64)) (.f64 x #s(literal -1/36 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 x #s(literal -1/315 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/60 binary64))) (.f64 x #s(literal 1/720 binary64))) (*.f64 x #s(literal -1/630 binary64))))))))))))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/ (* x (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 y (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/3 binary64)))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) #s(literal 2/45 binary64)))))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 y y) #s(literal -1/315 binary64))))))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
-1/2
#s(literal -1/2 binary64)
(- (pow y 2) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 y y))
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/3 binary64))))))
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) #s(literal 2/45 binary64))))))))
(* -1/2 (cos (* 2 y)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* -1/2 (cos (* 2 y)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* -1/2 (cos (* 2 y)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* -1/2 (cos (* 2 y)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* -1/2 (cos (* 2 y)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* -1/2 (cos (* 2 y)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* -1/2 (cos (* 2 y)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(* -1/2 (cos (* 2 y)))
(.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(.f64 y (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z)) (/.f64 #s(literal 1 binary64) z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y y) (+.f64 (.f64 (/.f64 (.f64 y y) z) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (/.f64 #s(literal -1/6 binary64) z)))))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -2 binary64))))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -2 binary64) (.f64 y (.f64 y #s(literal 2/3 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -2 binary64) (.f64 y (.f64 y (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 y y) #s(literal -4/45 binary64))))))))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))

eval124.0ms (1.2%)

Compiler: Compiled 18963 to 1855 computations (90.2% saved)

prune177.0ms (1.7%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	937	14	951
Fresh	6	12	18
Picked	2	3	5
Done	0	4	4
Total	945	33	978

Accuracy

100.0%

Counts

978 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(/.f64 (.f64 (-.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y x) (.f64 y x)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 y x) (.f64 y x))) (-.f64 z (*.f64 y x))))
	7.7%	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y x))))) y) (-.f64 x (.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
	64.7%	(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	91.9%	(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y))))))
	64.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z))
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
	64.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	41.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	37.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
	28.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (-.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (/.f64 (/.f64 (.f64 x x) z) z) z))) (/.f64 x (.f64 z z))))))
	80.0%	(+.f64 (/.f64 (.f64 z x) (/.f64 z (sin.f64 y))) (.f64 z (cos.f64 y)))
	76.1%	(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z)
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	76.2%	(+.f64 (*.f64 x (sin.f64 y)) z)
	39.2%	(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z y))))
✓	53.7%	(+.f64 z (*.f64 y x))
	92.1%	(*.f64 (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
	14.8%	(.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
✓	92.1%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	92.0%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)))))
	51.7%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
	68.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
	65.0%	(*.f64 z (cos.f64 y))
	14.9%	(.f64 y (+.f64 x (.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64))))
	2.8%	(.f64 y (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y y))))
	24.8%	(.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
	87.9%	(.f64 x (+.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))))
	46.9%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	37.0%	(*.f64 x (sin.f64 y))
✓	15.4%	(*.f64 x y)
	2.8%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
	2.7%	(.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y)))
✓	41.8%	z

Compiler

Compiled 1637 to 551 computations (66.3% saved)

regimes96.0ms (0.9%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	z
26.0ms	x
18.0ms	y
16.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes52.0ms (0.5%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	x
12.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
12.0ms	y
11.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes91.0ms (0.9%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

3 calls:

71.0ms	x
9.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
86.9%	3	`x`
80.0%	3	`y`
90.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes70.0ms (0.7%)

Counts

23 → 4

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	x
7.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
77.7%	3	`y`
76.5%	3	`x`
81.0%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes69.0ms (0.7%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	z
6.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
59.9%	3	`x`
74.3%	3	`y`
61.8%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes118.0ms (1.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	x
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
53.7%	1	`x`
53.7%	1	`z`
53.7%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

Outputs
z
(*.f64 x y)
z

Calls

3 calls:

2.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
44.8%	2	`x`
41.8%	1	`y`
46.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
41.8%	1	`y`
41.8%	1	`x`
41.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch89.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.590724354877436e+111	3.4630674416937456e+114
66.0ms	-6.952221378970216e+36	-3.7120090141407118e+31

Results

31.0ms

272×

valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions

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

ival-sin: 9.0ms (43.8% of total)

ival-cos: 6.0ms (29.2% of total)

ival-mult: 4.0ms (19.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch69.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	1.8953218564465374e-127	1.9808614408769977e-123
22.0ms	-2.272429008643915e-170	-7.813670656346328e-174
22.0ms	-6.952221378970216e+36	-3.7120090141407118e+31

Results

46.0ms

400×

valid

Compiler

Compiled 435 to 313 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 9.0ms (33.6% of total)

ival-cos: 8.0ms (29.9% of total)

ival-mult: 6.0ms (22.4% of total)

ival-add: 4.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	24823050477997856.0	25290472327787380.0
37.0ms	-9.079916664766024e+26	-3.5090837264604405e+21

Results

31.0ms

144×

valid

Compiler

Compiled 243 to 166 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-cos: 17.0ms (66.2% of total)

ival-sin: 5.0ms (19.5% of total)

ival-mult: 2.0ms (7.8% of total)

ival-add: 1.0ms (3.9% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	7.92531701908412e-222	2.7651676138386056e-214
19.0ms	-4.606616542883204e-157	-4.023644296843333e-160

Results

32.0ms

272×

valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

Precisions

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

ival-mult: 7.0ms (32.7% of total)

ival-sin: 6.0ms (28% of total)

ival-cos: 5.0ms (23.3% of total)

ival-add: 3.0ms (14% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	110
1	67	110

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -2700000000000000099778325650880856064 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 42999999999999998276749413335654957761108349157707273279871069919074750249397894479508278892029624224359332708352 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -44999999999999996109733513658368 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -3654909247210163/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) (+.f64 z (.f64 y x)) (if (<=.f64 z #s(literal 5805406258693871/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3550000000000000000000 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 25000000000000000 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)))))) (.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 z #s(literal -712311556242541/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) z (if (<=.f64 z #s(literal 1516130949512411/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976 binary64)) (*.f64 x y) z))
z

Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -2700000000000000099778325650880856064 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 42999999999999998276749413335654957761108349157707273279871069919074750249397894479508278892029624224359332708352 binary64)) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -2700000000000000099778325650880856064 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 42999999999999998276749413335654957761108349157707273279871069919074750249397894479508278892029624224359332708352 binary64)) (+.f64 z (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -44999999999999996109733513658368 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -3654909247210163/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) (+.f64 z (.f64 y x)) (if (<=.f64 z #s(literal 5805406258693871/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -44999999999999996109733513658368 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -3654909247210163/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) (+.f64 z (.f64 y x)) (if (<=.f64 z #s(literal 5805406258693871/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3550000000000000000000 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 25000000000000000 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)))))) (.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -3550000000000000000000 binary64)) (.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 25000000000000000 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 (.f64 y x) #s(literal -1/6 binary64)))))) (.f64 (sin.f64 y) x)))
(+.f64 z (*.f64 y x))
(if (<=.f64 z #s(literal -712311556242541/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) z (if (<=.f64 z #s(literal 1516130949512411/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976 binary64)) (*.f64 x y) z))
(if (<=.f64 z #s(literal -712311556242541/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) z (if (<=.f64 z #s(literal 1516130949512411/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976 binary64)) (*.f64 y x) z))
z

soundness1.5s (14.1%)

Rules

5796×	`-lowering-.f32`
5796×	`-lowering-.f64`
3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
3464×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	3293
1	1364	2960
2	4958	2912
0	8227	2912
0	8	20
1	25	20
2	211	20
3	2701	20
0	8147	20
0	1012	10396
1	3859	9429
0	8718	9429
0	109	645
1	362	598
2	1195	591
3	3577	586
4	6580	586
0	8166	586

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 240 to 126 computations (47.5% saved)

preprocess48.0ms (0.5%)

Compiler: Compiled 262 to 106 computations (59.5% saved)

analyze0.0ms (0%)

sample1.4s (13.5%)

preprocess98.0ms (0.9%)

explain218.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize64.0ms (0.6%)

series7.0ms (0.1%)

rewrite272.0ms (2.6%)

simplify209.0ms (2%)

eval22.0ms (0.2%)

prune29.0ms (0.3%)

simplify178.0ms (1.7%)

localize141.0ms (1.3%)

series18.0ms (0.2%)

rewrite475.0ms (4.5%)

simplify383.0ms (3.6%)

eval274.0ms (2.6%)

prune217.0ms (2.1%)

simplify268.0ms (2.5%)

localize472.0ms (4.5%)

series69.0ms (0.7%)

rewrite397.0ms (3.8%)

simplify384.0ms (3.6%)

eval261.0ms (2.5%)

prune245.0ms (2.3%)

simplify268.0ms (2.5%)

localize500.0ms (4.7%)

series27.0ms (0.3%)

rewrite404.0ms (3.8%)

simplify624.0ms (5.9%)

eval124.0ms (1.2%)

prune177.0ms (1.7%)

regimes96.0ms (0.9%)

regimes52.0ms (0.5%)

regimes91.0ms (0.9%)

regimes70.0ms (0.7%)

regimes69.0ms (0.7%)

regimes118.0ms (1.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch89.0ms (0.8%)

bsearch69.0ms (0.7%)

bsearch38.0ms (0.4%)

bsearch43.0ms (0.4%)

simplify9.0ms (0.1%)

soundness1.5s (14.1%)

preprocess48.0ms (0.5%)

end0.0ms (0%)

Profiling