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 (14.9%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 842.0ms

ival-cos: 435.0ms (51.7% of total)

ival-sin: 204.0ms (24.2% of total)

ival-mult: 147.0ms (17.5% of total)

ival-add: 47.0ms (5.6% of total)

const: 7.0ms (0.8% of total)

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

Bogosity

preprocess87.0ms (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)))

explain112.0ms (1.2%)

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

60.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sin: 12.0ms (32.9% of total)

ival-mult: 11.0ms (30.2% of total)

ival-cos: 10.0ms (27.4% of total)

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

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z (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)

localize41.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))

Results

32.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.9% of total)

ival-sin: 6.0ms (31.9% of total)

ival-cos: 5.0ms (26.6% of total)

ival-add: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

series10.0ms (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
3.0ms	x	@	-inf	(+ (* x (sin y)) (* z (cos y)))
1.0ms	x	@	0	(+ (* x (sin y)) (* z (cos y)))
1.0ms	z	@	inf	(+ (* x (sin y)) (* z (cos y)))
1.0ms	z	@	0	(+ (* x (sin y)) (* z (cos y)))
1.0ms	y	@	inf	(+ (* x (sin y)) (* z (cos y)))

rewrite248.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 98

Calls

Call 1

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

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

simplify263.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval24.0ms (0.3%)

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

prune25.0ms (0.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	194	12	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	13	207

Accuracy

100.0%

Counts

207 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶	99.9%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	55.0%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 x (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)))))))
	42.4%	(/.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)))))
✓	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	54.8%	(+.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))))))))
▶	54.9%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	56.7%	(+.f64 z (*.f64 y x))
	99.7%	(.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))))))
	60.2%	(*.f64 z (cos.f64 y))
▶	41.0%	(*.f64 x (sin.f64 y))
▶	39.5%	z

Compiler

Compiled 448 to 250 computations (44.2% saved)

simplify20.0ms (0.2%)

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

Rules

246×	`fma-define`
178×	`-lowering-.f32`
178×	`-lowering-.f64`
176×	`fma-lowering-fma.f32`
176×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	108
1	43	104
2	94	104
3	167	104
4	217	104
5	268	104
6	306	104
7	320	104
8	322	104
0	322	104

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize144.0ms (1.6%)

Localize:

Found 14 expressions of interest:

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

Results

106.0ms

256×

valid

Compiler

Compiled 120 to 19 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 10.0ms (29.2% of total)

ival-cos: 6.0ms (17.5% of total)

ival-add: 5.0ms (14.6% of total)

ival-sin: 5.0ms (14.6% of total)

compiled-spec: 4.0ms (11.7% of total)

ival-div: 3.0ms (8.8% of total)

const: 1.0ms (2.9% of total)

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

series18.0ms (0.2%)

Counts

12 → 348

Calls

Call 1

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

Calls

87 calls:

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

rewrite402.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4202×	`-lowering-.f32`
4202×	`-lowering-.f64`
2622×	`/-lowering-/.f32`
2622×	`/-lowering-/.f64`
2264×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	109	73
2	913	73
0	8431	73

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 495

Calls

Call 1

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

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

simplify303.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

5312×	`-lowering-.f32`
5312×	`-lowering-.f64`
1458×	`/-lowering-/.f32`
1458×	`/-lowering-/.f64`
1314×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	3250
1	1270	3066
2	4636	3033
0	8238	3033

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

eval129.0ms (1.4%)

Compiler: Compiled 25913 to 1577 computations (93.9% saved)

prune133.0ms (1.5%)

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	915	23	938
Fresh	4	3	7
Picked	2	3	5
Done	0	1	1
Total	921	30	951

Accuracy

100.0%

Counts

951 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	42.4%	(/.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 (cos.f64 y) z) (.f64 x (sin.f64 y))))
	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))
	41.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	39.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	39.3%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
✓	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	31.8%	(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
	41.1%	(+.f64 z (/.f64 (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))
	54.8%	(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
	6.6%	(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (.f64 y x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y)))))))
	41.1%	(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y))) (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))))
	31.7%	(+.f64 z (.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))
	9.1%	(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (.f64 (.f64 z z) (.f64 y y))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))))
✓	54.9%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	46.6%	(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
	37.3%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
	56.7%	(+.f64 z (*.f64 y x))
▶	99.7%	(.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))))))
	91.0%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	3.1%	(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
▶	60.2%	(*.f64 z (cos.f64 y))
	19.7%	(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
▶	19.7%	(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	19.7%	(.f64 x (.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)))))))
	19.7%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	41.0%	(*.f64 x (sin.f64 y))
▶	19.9%	(*.f64 x y)
✓	39.5%	z

Compiler

Compiled 1273 to 699 computations (45.1% saved)

simplify187.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2718×	`-lowering-.f32`
2718×	`-lowering-.f64`
1974×	`fnmadd-define`
1538×	`fma-lowering-fma.f32`
1538×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	220
1	93	210
2	242	210
3	757	208
4	2234	208
5	5812	208
0	8285	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize196.0ms (2.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	95.3%	(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))
✓	accuracy	93.3%	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y)
✓	accuracy	81.5%	(.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))
✓	accuracy	67.8%	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	accuracy	99.9%	(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	89.1%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(*.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 (-.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)))))

Results

127.0ms

256×

valid

Compiler

Compiled 271 to 34 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 40.0ms (58.1% of total)

ival-sin: 7.0ms (10.2% of total)

ival-add: 5.0ms (7.3% of total)

ival-cos: 5.0ms (7.3% of total)

ival-div: 4.0ms (5.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.8% of total)

ival-sub: 2.0ms (2.9% of total)

const: 1.0ms (1.5% of total)

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

series56.0ms (0.6%)

Counts

17 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
19.0ms	z	@	inf	(+ z (/ (* (- (* x x) (* (* y y) (* (* z z) 1/4))) y) (+ x (* y (* z 1/2)))))
8.0ms	y	@	-inf	(/ 1 (- (* x (sin y)) (* z (cos y))))
2.0ms	y	@	-inf	(* (+ (* x (sin y)) (* z (cos y))) (* (- (* x (sin y)) (* z (cos y))) (/ 1 (- (* x (sin y)) (* z (cos y))))))
1.0ms	x	@	0	(+ z (/ (* (- (* x x) (* (* y y) (* (* z z) 1/4))) y) (+ x (* y (* z 1/2)))))
1.0ms	y	@	inf	(/ (* (- (* x x) (* (* y y) (* (* z z) 1/4))) y) (+ x (* y (* z 1/2))))

rewrite383.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3226×	`-lowering-.f32`
3226×	`-lowering-.f64`
2660×	`fma-lowering-fma.f32`
2660×	`fma-lowering-fma.f64`
2604×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	156
1	187	118
2	1555	117
0	8739	117

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 456

Calls

Call 1

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

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

simplify368.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4870×	`-lowering-.f32`
4870×	`-lowering-.f64`
2290×	`+-lowering-+.f64`
2290×	`+-lowering-+.f32`
1570×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	4565
1	1433	4336
2	5391	4304
0	8733	4304

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

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

eval141.0ms (1.5%)

Compiler: Compiled 34181 to 1931 computations (94.4% saved)

prune183.0ms (2%)

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	1088	17	1105
Fresh	6	15	21
Picked	3	2	5
Done	0	4	4
Total	1097	38	1135

Accuracy

100.0%

Counts

1135 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	42.4%	(/.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 (cos.f64 y) z) (.f64 x (sin.f64 y))))
	35.4%	(/.f64 (-.f64 (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (.f64 z z)) (-.f64 (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))) z))
	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))))
	41.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	39.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	39.3%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
✓	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	18.8%	(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
	32.0%	(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
	15.0%	(+.f64 z (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
	34.4%	(+.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 z (.f64 z (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
	54.8%	(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
	31.7%	(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal -1/4 binary64)))))))
	47.7%	(+.f64 z (.f64 (.f64 (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
▶	37.3%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))))
	46.4%	(+.f64 z (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y (/.f64 x z)))))
✓	54.9%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	46.6%	(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
	37.3%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
▶	56.7%	(+.f64 z (*.f64 y x))
	60.3%	(.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 z (cos.f64 y)))))
▶	19.7%	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
▶	91.0%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
	3.1%	(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
✓	60.2%	(*.f64 z (cos.f64 y))
	10.2%	(.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x)))
	19.7%	(.f64 y (+.f64 x (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)))
	19.7%	(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y)))
	19.7%	(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
	3.1%	(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
	19.7%	(.f64 x (.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)))))))
✓	41.0%	(*.f64 x (sin.f64 y))
✓	19.9%	(*.f64 x y)
	3.1%	(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y x))))
✓	39.5%	z

Compiler

Compiled 1430 to 816 computations (42.9% saved)

simplify298.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (*.f64 z z)))) #s(literal 1/16 binary64)))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
✓	cost-diff	0	(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	128	(+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))
✓	cost-diff	128	(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64)))))))))
✓	cost-diff	128	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
✓	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

5766×	`-lowering-.f32`
5766×	`-lowering-.f64`
4308×	`+-lowering-+.f64`
4308×	`+-lowering-+.f32`
1110×	`associate-/l*`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	461
1	155	436
2	517	416
3	1882	388
4	3830	386
0	8278	386

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 (* y (* y -1/6))))
(* y x)
y
x
(+ 1 (* y (* y -1/6)))
1
(* y (* y -1/6))
(* y -1/6)
-1/6
(+ z (* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))))
z
(* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720))))))))
(* y y)
y
(+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))
(* z -1/2)
-1/2
(* y (* y (* z (+ 1/24 (* y (* y -1/720))))))
(* y (* z (+ 1/24 (* y (* y -1/720)))))
(* z (+ 1/24 (* y (* y -1/720))))
(+ 1/24 (* y (* y -1/720)))
1/24
(* y (* y -1/720))
(* y -1/720)
-1/720
(+ z (/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4)))))
z
(/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4))))
(* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2)))))
(- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)
(* (* y (* y (* z z))) (* y (* y (* z z))))
(* y (* y (* z z)))
y
(* y (* z z))
(* z z)
1/16
(/ y (+ x (* y (* z 1/2))))
(+ x (* y (* z 1/2)))
(* y (* z 1/2))
(* z 1/2)
1/2
(+ (* x x) (* (* y y) (* (* z z) 1/4)))
(* (* y y) (* (* z z) 1/4))
(* y y)
(* (* z z) 1/4)
1/4

Outputs
(* 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 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
(cos y)
(cos.f64 y)
y
(* x (/ (sin y) z))
(*.f64 x (/.f64 (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 (* y (* y -1/6))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* y x)
(*.f64 y x)
y
x
(+ 1 (* y (* y -1/6)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
1
#s(literal 1 binary64)
(* y (* y -1/6))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(+ z (* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))))
(.f64 z (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64))))))) #s(literal 1 binary64)))
z
(* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720))))))))
(.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64))))))))
(* y y)
(*.f64 y y)
y
(+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))
(.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64)))))))
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* y (* y (* z (+ 1/24 (* y (* y -1/720))))))
(.f64 y (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64)))) (*.f64 z y)))
(* y (* z (+ 1/24 (* y (* y -1/720)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64)))) (.f64 z y))
(* z (+ 1/24 (* y (* y -1/720))))
(.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64)))))
(+ 1/24 (* y (* y -1/720)))
(+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))
1/24
#s(literal 1/24 binary64)
(* y (* y -1/720))
(.f64 y (.f64 y #s(literal -1/720 binary64)))
(* y -1/720)
(*.f64 y #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
(+ z (/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4)))))
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 z z)) (.f64 y (.f64 (.f64 z (.f64 z (.f64 y y))) #s(literal -1/16 binary64)))))) (.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))) (+.f64 (.f64 x x) (.f64 (.f64 z (.f64 z (.f64 y y))) #s(literal 1/4 binary64))))))
z
(/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4))))
(/.f64 (.f64 y (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 z z)) (.f64 y (.f64 (.f64 z (.f64 z (.f64 y y))) #s(literal -1/16 binary64)))))) (.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))) (+.f64 (.f64 x x) (.f64 (.f64 z (.f64 z (.f64 y y))) #s(literal 1/4 binary64)))))
(* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2)))))
(/.f64 (.f64 y (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 z z)) (.f64 y (.f64 (.f64 z (.f64 z (.f64 y y))) #s(literal -1/16 binary64)))))) (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))))
(- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16))
(+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 z z)) (.f64 y (.f64 (.f64 z (.f64 z (*.f64 y y))) #s(literal -1/16 binary64)))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)
(.f64 (.f64 z z) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 z z)) #s(literal 1/16 binary64))))))
(* (* y (* y (* z z))) (* y (* y (* z z))))
(.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 z (.f64 z (*.f64 y y)))))
(* y (* y (* z z)))
(.f64 z (.f64 z (*.f64 y y)))
y
(* y (* z z))
(.f64 y (.f64 z z))
(* z z)
(*.f64 z z)
1/16
#s(literal 1/16 binary64)
(/ y (+ x (* y (* z 1/2))))
(/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))))
(+ x (* y (* z 1/2)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))
(* y (* z 1/2))
(.f64 #s(literal 1/2 binary64) (.f64 z y))
(* z 1/2)
(*.f64 z #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* x x) (* (* y y) (* (* z z) 1/4)))
(+.f64 (.f64 x x) (.f64 (.f64 z (.f64 z (*.f64 y y))) #s(literal 1/4 binary64)))
(* (* y y) (* (* z z) 1/4))
(.f64 (.f64 z (.f64 z (.f64 y y))) #s(literal 1/4 binary64))
(* y y)
(*.f64 y y)
(* (* z z) 1/4)
(.f64 (.f64 z z) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)

localize247.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.2%	(/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))
✓	accuracy	81.8%	(.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
✓	accuracy	81.5%	(.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))
✓	accuracy	39.5%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/720 binary64)))
✓	accuracy	99.6%	(*.f64 y #s(literal -1/720 binary64))
✓	accuracy	96.7%	(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64)))))))))
✓	accuracy	96.0%	(.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64)))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	99.6%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 z (*.f64 y x))
✓	accuracy	100.0%	(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) z)
✓	accuracy	95.8%	(*.f64 x (/.f64 (sin.f64 y) z))
✓	accuracy	91.1%	(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))

Results

164.0ms

256×

valid

Compiler

Compiled 487 to 54 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 43.0ms (40.5% of total)

ival-add: 32.0ms (30.1% of total)

...c/correct-round.rkt:119:19: 10.0ms (9.4% of total)

ival-sin: 6.0ms (5.7% of total)

ival-cos: 6.0ms (5.7% of total)

ival-div: 5.0ms (4.7% of total)

ival-sub: 2.0ms (1.9% of total)

const: 1.0ms (0.9% of total)

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

series54.0ms (0.6%)

Counts

24 → 600

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 (* y (* y -1/6))))>
#<alt (+ 1 (* y (* y -1/6)))>
#<alt (* y (* y -1/6))>
#<alt (+ z (* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))))>
#<alt (* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720))))))))>
#<alt (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))>
#<alt (* y y)>
#<alt (+ z (/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4)))))>
#<alt (/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4))))>
#<alt (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2)))))>
#<alt (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16))>
#<alt (/ (sin y) z)>
#<alt (* y -1/6)>
#<alt (* z (+ 1/24 (* y (* y -1/720))))>
#<alt (* y -1/720)>
#<alt (* y (* y -1/720))>
#<alt (* (* y y) (* (* z z) 1/4))>
#<alt (/ y (+ x (* y (* z 1/2))))>

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 (* 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>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))>
#<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 (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* -1 (* (pow y 2) (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))))))>
#<alt (* -1 (* (pow y 2) (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))))))>
#<alt (* -1 (* (pow y 2) (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))))))>
#<alt (* -1 (* (pow y 2) (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))))))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))>
#<alt (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))>
#<alt (* -1/720 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* -1/720 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* x y)>
#<alt (+ (* x y) (* z (- 1 (* 1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (- (+ 1 (* -1 (* z (+ (* -1/4 (/ (pow y 3) x)) (* 1/4 (/ (pow y 3) x)))))) (* 1/2 (pow y 2)))))>
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#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (/ y x)>
#<alt (* y (+ (* -1/2 (/ (* y z) (pow x 2))) (/ 1 x)))>
#<alt (* y (+ (* y (- (* 1/4 (/ (* y (pow z 2)) (pow x 3))) (* 1/2 (/ z (pow x 2))))) (/ 1 x)))>
#<alt (* y (+ (* y (- (* y (- (* -1/8 (/ (* y (pow z 3)) (pow x 4))) (* -1/4 (/ (pow z 2) (pow x 3))))) (* 1/2 (/ z (pow x 2))))) (/ 1 x)))>
#<alt (/ 2 z)>
#<alt (+ (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))>
#<alt (- (+ (* 8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* 2 (/ 1 z))) (* 4 (/ x (* y (pow z 2)))))>
#<alt (- (+ (* -16 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (* 2 (/ 1 z))) (+ (* -8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* 4 (/ x (* y (pow z 2))))))>
#<alt (/ 2 z)>
#<alt (+ (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))>
#<alt (+ (* -1 (/ (- (* -8 (/ (pow x 2) (* y (pow z 3)))) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow x 3) (* y (pow z 4)))) (* -8 (/ (pow x 2) (pow z 3)))) y)) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z)))>
#<alt (/ 2 z)>
#<alt (+ (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))>
#<alt (+ (* x (- (* 8 (/ x (* (pow y 2) (pow z 3)))) (* 4 (/ 1 (* y (pow z 2)))))) (* 2 (/ 1 z)))>
#<alt (+ (* x (- (* x (+ (* -16 (/ x (* (pow y 3) (pow z 4)))) (* 8 (/ 1 (* (pow y 2) (pow z 3)))))) (* 4 (/ 1 (* y (pow z 2)))))) (* 2 (/ 1 z)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1/2 (/ (* (pow y 2) z) x))) x)>
#<alt (/ (- (+ y (* 1/4 (/ (* (pow y 3) (pow z 2)) (pow x 2)))) (* 1/2 (/ (* (pow y 2) z) x))) x)>
#<alt (/ (- (+ y (* -1/8 (/ (* (pow y 4) (pow z 3)) (pow x 3)))) (+ (* -1/4 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (* 1/2 (/ (* (pow y 2) z) x)))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 1/4 (/ (* (pow y 3) (pow z 2)) x)) (* 1/2 (* (pow y 2) z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow y 4) (pow z 3)) x)) (* 1/4 (* (pow y 3) (pow z 2)))) x)) (* 1/2 (* (pow y 2) z))) x))) x))>
#<alt (/ y x)>
#<alt (+ (* -1/2 (/ (* (pow y 2) z) (pow x 2))) (/ y x))>
#<alt (+ (* z (- (* 1/4 (/ (* (pow y 3) z) (pow x 3))) (* 1/2 (/ (pow y 2) (pow x 2))))) (/ y x))>
#<alt (+ (* z (- (* z (- (* -1/8 (/ (* (pow y 4) z) (pow x 4))) (* -1/4 (/ (pow y 3) (pow x 3))))) (* 1/2 (/ (pow y 2) (pow x 2))))) (/ y x))>
#<alt (/ 2 z)>
#<alt (/ (+ 2 (* -4 (/ x (* y z)))) z)>
#<alt (/ (- (+ 2 (* 8 (/ (pow x 2) (* (pow y 2) (pow z 2))))) (* 4 (/ x (* y z)))) z)>
#<alt (/ (- (+ 2 (* -16 (/ (pow x 3) (* (pow y 3) (pow z 3))))) (+ (* -8 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 4 (/ x (* y z))))) z)>
#<alt (/ 2 z)>
#<alt (* -1 (/ (- (* 4 (/ x (* y z))) 2) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 2) (* (pow y 2) z))) (* 4 (/ x y))) z)) 2) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow x 3) (* (pow y 3) z))) (* 8 (/ (pow x 2) (pow y 2)))) z)) (* 4 (/ x y))) z)) 2) z))>

Calls

150 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(+ z (* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))))
2.0ms	x	@	0	(- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16))
2.0ms	x	@	0	(+ z (/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4)))))
2.0ms	x	@	inf	(/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4))))
1.0ms	z	@	0	(+ z (* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))))

rewrite385.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4168×	`-lowering-.f32`
4168×	`-lowering-.f64`
2300×	`/-lowering-/.f32`
2300×	`/-lowering-/.f64`
2026×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	284
1	305	224
2	2919	218
0	8787	218

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 495

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 (* y (* y -1/6))))
(+ 1 (* y (* y -1/6)))
(* y (* y -1/6))
(+ z (* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))))
(* (* y y) (+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720))))))))
(+ (* z -1/2) (* y (* y (* z (+ 1/24 (* y (* y -1/720)))))))
(* y y)
(+ z (/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4)))))
(/ (* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2))))) (+ (* x x) (* (* y y) (* (* z z) 1/4))))
(* (- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16)) (/ y (+ x (* y (* z 1/2)))))
(- (* x (* x (* x x))) (* (* (* y (* y (* z z))) (* y (* y (* z z)))) 1/16))
(/ (sin y) z)
(* y -1/6)
(* z (+ 1/24 (* y (* y -1/720))))
(* y -1/720)
(* y (* y -1/720))
(* (* y y) (* (* z z) 1/4))
(/ y (+ x (* y (* z 1/2))))

Outputs
(+.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 (*.f64 x (sin.f64 y)) z) z))
(+.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z))
(fma.f64 (cos.f64 y) z (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z) #s(literal 2 binary64)) (.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z) #s(literal 2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z)))
(/.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))))
(/.f64 (.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) 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)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) z) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z) #s(literal 2 binary64)) (.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) z) z))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))))
(/.f64 (neg.f64 (.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) (neg.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))))
(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(.f64 (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)) z)
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
(+.f64 (/.f64 (*.f64 x (sin.f64 y)) 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 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z))) (/.f64 (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 (cos.f64 y) (.f64 x (sin.f64 y))) z))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 (cos.f64 y) (.f64 x (sin.f64 y))) z)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (/.f64 (.f64 x (sin.f64 y)) 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 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z))) (.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))) (.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)) (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (neg.f64 (-.f64 (/.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y))))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 x (sin.f64 y)) z) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) 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)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))))
(cos.f64 y)
(/.f64 x (/.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 z (sin.f64 y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
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(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
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(/.f64 (neg.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/13824 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) (.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 z y))))) (neg.f64 (+.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 z (.f64 y (.f64 y #s(literal -1/720 binary64)))) (.f64 z (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 z (.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal 1/24 binary64))) (.f64 (.f64 z (.f64 y (.f64 y #s(literal -1/720 binary64)))) (.f64 z (.f64 y (.f64 y #s(literal -1/720 binary64))))))) (neg.f64 (-.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 z (.f64 y (.f64 y #s(literal -1/720 binary64)))))))
(/.f64 (neg.f64 (.f64 z (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/720 binary64))) (-.f64 (.f64 y (.f64 y #s(literal -1/720 binary64))) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 z (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)))) z)) (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/720 binary64))) (-.f64 (.f64 y (.f64 y #s(literal -1/720 binary64))) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64))) z)) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64))))))
(.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64)))) z)
(*.f64 y #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) y)
(.f64 y (.f64 y #s(literal -1/720 binary64)))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(.f64 #s(literal -1/720 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal -1/720 binary64)) y)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z y))) #s(literal 2 binary64)))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 2 binary64))
(pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64))
(.f64 z (.f64 (.f64 z #s(literal 1/4 binary64)) (.f64 y y)))
(.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))))
(.f64 y (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))
(.f64 (.f64 y y) (.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))))
(.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 y y)))
(.f64 (.f64 z z) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))
(.f64 (.f64 z (.f64 z y)) (.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (.f64 y y) z) z) #s(literal 1/4 binary64))
(.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y y) z) z))
(.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 y y))
(.f64 (.f64 z y) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)
(.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(.f64 (.f64 (.f64 y y) z) (.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 z z))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) y) (*.f64 z #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (*.f64 z #s(literal 1/2 binary64))) y)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (*.f64 z y)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 z z))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 z y))) y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))))
(/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))) y))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))) y) #s(literal 1 binary64))))
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(/.f64 (.f64 y #s(literal 1 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))))))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 z y)))))
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(.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 z y)))))
(.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 z y)))))
(.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 z y))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 y (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/8 binary64))))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z y)) x))))
(.f64 (/.f64 y (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))))) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y))))

simplify408.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

6638×	`-lowering-.f32`
6638×	`-lowering-.f64`
4120×	`+-lowering-+.f64`
4120×	`+-lowering-+.f32`
1404×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	892	7341
1	3210	6787
0	9090	6787

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

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)))))
(* 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)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
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))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))
(* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))
(* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
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(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(/ y x)
(* y (+ (* -1/2 (/ (* y z) (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (* 1/4 (/ (* y (pow z 2)) (pow x 3))) (* 1/2 (/ z (pow x 2))))) (/ 1 x)))
(* y (+ (* y (- (* y (- (* -1/8 (/ (* y (pow z 3)) (pow x 4))) (* -1/4 (/ (pow z 2) (pow x 3))))) (* 1/2 (/ z (pow x 2))))) (/ 1 x)))
(/ 2 z)
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(- (+ (* 8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* 2 (/ 1 z))) (* 4 (/ x (* y (pow z 2)))))
(- (+ (* -16 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (* 2 (/ 1 z))) (+ (* -8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* 4 (/ x (* y (pow z 2))))))
(/ 2 z)
(+ (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))
(+ (* -1 (/ (- (* -8 (/ (pow x 2) (* y (pow z 3)))) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z)))
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(/ (+ y (* -1/2 (/ (* (pow y 2) z) x))) x)
(/ (- (+ y (* 1/4 (/ (* (pow y 3) (pow z 2)) (pow x 2)))) (* 1/2 (/ (* (pow y 2) z) x))) x)
(/ (- (+ y (* -1/8 (/ (* (pow y 4) (pow z 3)) (pow x 3)))) (+ (* -1/4 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (* 1/2 (/ (* (pow y 2) z) x)))) x)
(/ y x)
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(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 1/4 (/ (* (pow y 3) (pow z 2)) x)) (* 1/2 (* (pow y 2) z))) x))) x))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow x 3) (* (pow y 3) z))) (* 8 (/ (pow x 2) (pow y 2)))) z)) (* 4 (/ x y))) z)) 2) z))

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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(.f64 z (+.f64 (cos.f64 y) (/.f64 (.f64 x (sin.f64 y)) z)))
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(/ (+ (* x (sin y)) (* z (cos y))) z)
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(cos y)
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(/ (* x (sin y)) z)
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(/ (* x y) z)
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(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 z (.f64 z z)))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z z) (.f64 x (.f64 x x)))))) (/.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 x x))))))
(/ 2 z)
(/.f64 #s(literal 2 binary64) z)
(+ (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))
(+.f64 (/.f64 #s(literal 2 binary64) z) (.f64 #s(literal -4 binary64) (/.f64 x (.f64 y (*.f64 z z)))))
(- (+ (* 8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* 2 (/ 1 z))) (* 4 (/ x (* y (pow z 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) (.f64 (.f64 y (.f64 z (.f64 z z))) y)) (.f64 #s(literal 4 binary64) (/.f64 x (.f64 y (*.f64 z z))))))
(- (+ (* -16 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (* 2 (/ 1 z))) (+ (* -8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* 4 (/ x (* y (pow z 2))))))
(+.f64 (.f64 (/.f64 #s(literal -16 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (-.f64 (/.f64 #s(literal 2 binary64) z) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 x (.f64 y (.f64 z z)))) (/.f64 (.f64 #s(literal -8 binary64) (.f64 x x)) (.f64 (.f64 y (.f64 z (.f64 z z))) y)))))
(/ 2 z)
(/.f64 #s(literal 2 binary64) z)
(+ (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))
(+.f64 (/.f64 #s(literal 2 binary64) z) (.f64 #s(literal -4 binary64) (/.f64 x (.f64 y (*.f64 z z)))))
(+ (* -1 (/ (- (* -8 (/ (pow x 2) (* y (pow z 3)))) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z)))
(-.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -8 binary64) (.f64 x x)) (.f64 y (.f64 z (.f64 z z)))) (.f64 #s(literal 4 binary64) (/.f64 x (*.f64 z z)))) y))
(+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow x 3) (* y (pow z 4)))) (* -8 (/ (pow x 2) (pow z 3)))) y)) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z)))
(-.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 x x)) x) (.f64 y (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -8 binary64) (.f64 x x)) (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) y)) (.f64 #s(literal 4 binary64) (/.f64 x (.f64 z z)))) y))
(/ 2 z)
(/.f64 #s(literal 2 binary64) z)
(+ (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))
(+.f64 (/.f64 #s(literal 2 binary64) z) (.f64 #s(literal -4 binary64) (/.f64 x (.f64 y (*.f64 z z)))))
(+ (* x (- (* 8 (/ x (* (pow y 2) (pow z 3)))) (* 4 (/ 1 (* y (pow z 2)))))) (* 2 (/ 1 z)))
(+.f64 (/.f64 #s(literal 2 binary64) z) (.f64 x (+.f64 (/.f64 (.f64 #s(literal 8 binary64) x) (.f64 (.f64 y (.f64 z (.f64 z z))) y)) (/.f64 #s(literal -4 binary64) (.f64 y (.f64 z z))))))
(+ (* x (- (* x (+ (* -16 (/ x (* (pow y 3) (pow z 4)))) (* 8 (/ 1 (* (pow y 2) (pow z 3)))))) (* 4 (/ 1 (* y (pow z 2)))))) (* 2 (/ 1 z)))
(+.f64 (/.f64 #s(literal 2 binary64) z) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (/.f64 #s(literal -16 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (.f64 y (.f64 y y)))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y (.f64 z (.f64 z z))) y)))) (/.f64 #s(literal -4 binary64) (.f64 y (*.f64 z z))))))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1/2 (/ (* (pow y 2) z) x))) x)
(/.f64 (+.f64 y (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))) x)) x)
(/ (- (+ y (* 1/4 (/ (* (pow y 3) (pow z 2)) (pow x 2)))) (* 1/2 (/ (* (pow y 2) z) x))) x)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 z (.f64 y y)) y) z)) (.f64 x x)) (+.f64 y (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y))) x))) x)
(/ (- (+ y (* -1/8 (/ (* (pow y 4) (pow z 3)) (pow x 3)))) (+ (* -1/4 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (* 1/2 (/ (* (pow y 2) z) x)))) x)
(/.f64 (+.f64 y (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 z (.f64 z z)))) (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 y y))) x) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 z (.f64 y y)) y) z)) (*.f64 x x))))) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x))) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (*.f64 y y))) x) y) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 1/4 (/ (* (pow y 3) (pow z 2)) x)) (* 1/2 (* (pow y 2) z))) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 z (.f64 y y)) y) z)) x) (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y)))) x))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow y 4) (pow z 3)) x)) (* 1/4 (* (pow y 3) (pow z 2)))) x)) (* 1/2 (* (pow y 2) z))) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)) (/.f64 (.f64 z (.f64 z z)) x)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 z (.f64 y y)) y) z))) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y)))) x))) x)
(/ y x)
(/.f64 y x)
(+ (* -1/2 (/ (* (pow y 2) z) (pow x 2))) (/ y x))
(+.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y))) (.f64 x x)))
(+ (* z (- (* 1/4 (/ (* (pow y 3) z) (pow x 3))) (* 1/2 (/ (pow y 2) (pow x 2))))) (/ y x))
(+.f64 (/.f64 y x) (.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 z (.f64 y y)) y)) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x)))))
(+ (* z (- (* z (- (* -1/8 (/ (* (pow y 4) z) (pow x 4))) (* -1/4 (/ (pow y 3) (pow x 3))))) (* 1/2 (/ (pow y 2) (pow x 2))))) (/ y x))
(+.f64 (/.f64 y x) (.f64 z (+.f64 (.f64 z (+.f64 (/.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) z) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 x x)))))
(/ 2 z)
(/.f64 #s(literal 2 binary64) z)
(/ (+ 2 (* -4 (/ x (* y z)))) z)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -4 binary64) x) (.f64 y z))) z)
(/ (- (+ 2 (* 8 (/ (pow x 2) (* (pow y 2) (pow z 2))))) (* 4 (/ x (* y z)))) z)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) (.f64 (.f64 z (.f64 y y)) z)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -4 binary64) x) (*.f64 y z)))) z)
(/ (- (+ 2 (* -16 (/ (pow x 3) (* (pow y 3) (pow z 3))))) (+ (* -8 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 4 (/ x (* y z))))) z)
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -16 binary64) (.f64 z (.f64 z z))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) (.f64 (.f64 z (.f64 y y)) z))) (/.f64 (.f64 #s(literal -4 binary64) x) (.f64 y z))) z)
(/ 2 z)
(/.f64 #s(literal 2 binary64) z)
(* -1 (/ (- (* 4 (/ x (* y z))) 2) z))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -4 binary64) x) (.f64 y z))) z)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 2) (* (pow y 2) z))) (* 4 (/ x y))) z)) 2) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) (.f64 z (.f64 y y))) (*.f64 #s(literal -4 binary64) (/.f64 x y))) (neg.f64 z)) #s(literal -2 binary64)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow x 3) (* (pow y 3) z))) (* 8 (/ (pow x 2) (pow y 2)))) z)) (* 4 (/ x y))) z)) 2) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 #s(literal 16 binary64) z) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal -8 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (neg.f64 z)) (*.f64 #s(literal -4 binary64) (/.f64 x y))) (neg.f64 z)) #s(literal -2 binary64)) (neg.f64 z))

eval149.0ms (1.6%)

Compiler: Compiled 44326 to 2914 computations (93.4% saved)

prune184.0ms (2%)

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	1129	16	1145
Fresh	3	24	27
Picked	3	2	5
Done	0	6	6
Total	1135	48	1183

Accuracy

100.0%

Counts

1183 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	42.4%	(/.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 (cos.f64 y) z) (.f64 x (sin.f64 y))))
	35.4%	(/.f64 (-.f64 (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (.f64 z z)) (-.f64 (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))) z))
	21.9%	(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
	79.4%	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) z) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
	18.9%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
	60.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))
	23.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))))) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))))))
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))))
	41.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	39.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	39.3%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
✓	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	17.3%	(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
	32.0%	(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
	15.0%	(+.f64 z (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
	34.4%	(+.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 z (.f64 z (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
	54.8%	(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
	31.7%	(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal -1/4 binary64)))))))
	47.7%	(+.f64 z (.f64 (.f64 (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
	37.3%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
✓	54.9%	(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
	46.6%	(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
	37.3%	(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
✓	56.7%	(+.f64 z (*.f64 y x))
	32.1%	(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
	60.3%	(.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 z (cos.f64 y)))))
	19.3%	(.f64 (.f64 y x) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))
✓	19.7%	(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
	90.8%	(*.f64 z (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))))
	85.7%	(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x))))
	53.6%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
	46.5%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
	69.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
	3.1%	(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
✓	60.2%	(*.f64 z (cos.f64 y))
	46.4%	(*.f64 y (+.f64 x (/.f64 z y)))
	19.7%	(.f64 y (+.f64 x (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)))
	19.7%	(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y)))
	19.7%	(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
	3.1%	(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
	50.5%	(*.f64 x (+.f64 y (/.f64 z x)))
	19.7%	(.f64 x (.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)))))))
✓	41.0%	(*.f64 x (sin.f64 y))
✓	19.9%	(*.f64 x y)
	3.1%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
✓	39.5%	z

Compiler

Compiled 2444 to 888 computations (63.7% saved)

regimes96.0ms (1%)

Counts

69 → 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 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y x))))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y)))
(.f64 y (+.f64 x (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
(+.f64 z (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y (/.f64 x z)))))
(.f64 x (.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)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 z (.f64 z (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 (.f64 y x) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))
(+.f64 z (.f64 (.f64 (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal -1/4 binary64)))))))
(+.f64 z (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x)))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(+.f64 z (/.f64 (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (.f64 z z)) (-.f64 (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))) z))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y))) (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (.f64 y x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))))) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (.f64 (.f64 z z) (.f64 y y))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))))
(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (/.f64 (*.f64 z (cos.f64 y)) 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 (.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 (cos.f64 y) z) (.f64 x (sin.f64 y))))
(.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 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)))) (pow.f64 (/.f64 (.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) z) (-.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(.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))))))
(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)))))))

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

Calls

4 calls:

22.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
22.0ms	x
21.0ms	z
20.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes100.0ms (1.1%)

Counts

59 → 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 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y x))))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y)))
(.f64 y (+.f64 x (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
(+.f64 z (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y (/.f64 x z)))))
(.f64 x (.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)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 z (.f64 z (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 (.f64 y x) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))
(+.f64 z (.f64 (.f64 (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal -1/4 binary64)))))))
(+.f64 z (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x)))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(+.f64 z (/.f64 (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (.f64 z z)) (-.f64 (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))) z))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y))) (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (.f64 y x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))))) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (.f64 (.f64 z z) (.f64 y y))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(.f64 z (+.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))))
(.f64 z (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))

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

Calls

4 calls:

34.0ms	y
21.0ms	x
18.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
18.0ms	z

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes103.0ms (1.1%)

Counts

54 → 5

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 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y x))))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y)))
(.f64 y (+.f64 x (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
(+.f64 z (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y (/.f64 x z)))))
(.f64 x (.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)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 z (.f64 z (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 (.f64 y x) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))
(+.f64 z (.f64 (.f64 (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal -1/4 binary64)))))))
(+.f64 z (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x)))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(+.f64 z (/.f64 (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (.f64 z z)) (-.f64 (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))) z))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y))) (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (.f64 y x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))))) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (.f64 (.f64 z z) (.f64 y y))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z))))

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

Calls

3 calls:

39.0ms	x
38.0ms	y
16.0ms	z

Results

Accuracy	Segments	Branch
84.1%	5	`x`
81.2%	4	`y`
80.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes65.0ms (0.7%)

Counts

53 → 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 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y x))))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y)))
(.f64 y (+.f64 x (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
(+.f64 z (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y (/.f64 x z)))))
(.f64 x (.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)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 z (.f64 z (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 (.f64 y x) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))
(+.f64 z (.f64 (.f64 (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal -1/4 binary64)))))))
(+.f64 z (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x)))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(+.f64 z (/.f64 (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (.f64 z z)) (-.f64 (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))) z))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y))) (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (.f64 y x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))))) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (.f64 (.f64 z z) (.f64 y y))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))

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

Calls

3 calls:

20.0ms	y
17.0ms	z
17.0ms	x

Results

Accuracy	Segments	Branch
81.2%	4	`y`
75.4%	3	`z`
77.3%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes43.0ms (0.5%)

Counts

50 → 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 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y x))))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y)))
(.f64 y (+.f64 x (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
(+.f64 z (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y (/.f64 x z)))))
(.f64 x (.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)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 z (.f64 z (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 (.f64 y x) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))
(+.f64 z (.f64 (.f64 (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal -1/4 binary64)))))))
(+.f64 z (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x)))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(+.f64 z (/.f64 (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (.f64 z z)) (-.f64 (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))) z))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y))) (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (.f64 y x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))))) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (.f64 (.f64 z z) (.f64 y y))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))))
(*.f64 x (sin.f64 y))

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

Calls

2 calls:

17.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
63.6%	3	`x`
76.3%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes59.0ms (0.6%)

Counts

49 → 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 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y x))))
(.f64 y (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 y (+.f64 x (.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y)))
(.f64 y (+.f64 x (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) y)))
(.f64 (.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (.f64 y (.f64 z (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))))
(+.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x y) z) z)))
(+.f64 z (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 y (/.f64 x z)))))
(.f64 x (.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)))))))
(+.f64 z (.f64 y (+.f64 x (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 x (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 y (+.f64 x (.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y x))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 z (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 z (.f64 z (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 (.f64 y x) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 1/4 binary64))) y)) y) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))) y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))
(+.f64 z (.f64 (.f64 (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal -1/4 binary64)))))))
(+.f64 z (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (.f64 y y)))) y) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(.f64 y (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x)))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (+.f64 (.f64 z z) (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))))
(+.f64 z (/.f64 (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (.f64 z z)) (-.f64 (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))) z))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y))) (.f64 (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (+.f64 (.f64 y x) (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 y (-.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64))))) (.f64 y (-.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64)))))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 y (.f64 y (.f64 z z)))) #s(literal 1/16 binary64))) (/.f64 y (+.f64 x (.f64 y (.f64 z #s(literal 1/2 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (*.f64 z z) #s(literal 1/4 binary64))))))
(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (.f64 y x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (-.f64 (.f64 z z) (.f64 (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64))))) (.f64 (/.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))))))
(+.f64 z (.f64 y (/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (.f64 (.f64 z z) (.f64 y y))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)))))) (+.f64 x (.f64 y (*.f64 z #s(literal 1/2 binary64))))))))

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

Calls

3 calls:

20.0ms	y
19.0ms	x
16.0ms	z

Results

Accuracy	Segments	Branch
56.7%	1	`x`
56.7%	1	`z`
56.7%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

3 calls:

2.0ms	z
2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
45.0%	3	`x`
39.5%	1	`y`
44.6%	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	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
39.5%	1	`y`
39.5%	1	`z`
39.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch141.0ms (1.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	1.0065189697415878e+218	7.961736811701037e+221
34.0ms	2.2595198256944041e-13	0.7949730569316952
25.0ms	-2.317106830864156e+21	-33140586516735492.0
56.0ms	-1.4981286720914124e+136	-3.202056096092408e+134

Results

90.0ms

544×

valid

Compiler

Compiled 766 to 557 computations (27.3% saved)

Precisions

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

ival-sin: 26.0ms (46.8% of total)

ival-mult: 15.0ms (27% of total)

ival-cos: 11.0ms (19.8% of total)

ival-add: 3.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

bsearch89.0ms (1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	3.3182712432567693e-19	1.3240068155523908e-8
19.0ms	-976136.0602578002	-2.5143851904668184e-5
25.0ms	-1.1240915476388518e+231	-4.0598584538480716e+225

Results

46.0ms

464×

valid

Compiler

Compiled 622 to 441 computations (29.1% saved)

Precisions

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

ival-sin: 11.0ms (37.4% of total)

ival-cos: 9.0ms (30.6% of total)

ival-mult: 7.0ms (23.8% of total)

ival-add: 2.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.3240068155523908e-8	18.08072768978465
18.0ms	-976136.0602578002	-2.5143851904668184e-5

Results

30.0ms

304×

valid

Compiler

Compiled 455 to 317 computations (30.3% saved)

Precisions

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

ival-sin: 11.0ms (53.4% of total)

ival-mult: 5.0ms (24.3% of total)

ival-cos: 3.0ms (14.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.301891687257309e+44	1.6716155687309048e+45
20.0ms	-1.2015274929224043e+78	-1.3678437393431085e+71

Results

23.0ms

224×

valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

Precisions

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

ival-cos: 6.0ms (38.1% of total)

ival-sin: 5.0ms (31.8% of total)

ival-mult: 3.0ms (19.1% of total)

ival-add: 1.0ms (6.4% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
10×	`+-commutative_binary64`
4×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	143
1	79	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x #s(literal -11200000000000000088942513045709044401815270166902368562129684748541827091555215043702871557211698002058536299329525483403320522046439424 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal -540000000000000000 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (if (<=.f64 x #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 x #s(literal 209999999999999987964793687720280338224563192085905686514576643673083646359721894244943779844539685522581173926872038056409089278269454264359709171071574090909062219279788596516244065129351444815423851415100179699728384 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -50999999999999995813316499947141685660688929710277676486833902356628082612720074154645383328785939592122549146219601304887970150225791758913512172490828984284547370361953078966103236665200378787577620251077430635517266095509602304 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3929008913747545/302231454903657293676544 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -5188146770730811/144115188075855872 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3602879701896397/36028797018963968 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 x #s(literal -7000000000000000195090964334063318778005827328862580230404690162898436096 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1650000000000000026710219416159467181264863232 binary64)) z (.f64 x y)))
z

Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(if (<=.f64 x #s(literal -11200000000000000088942513045709044401815270166902368562129684748541827091555215043702871557211698002058536299329525483403320522046439424 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal -540000000000000000 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (if (<=.f64 x #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 x #s(literal 209999999999999987964793687720280338224563192085905686514576643673083646359721894244943779844539685522581173926872038056409089278269454264359709171071574090909062219279788596516244065129351444815423851415100179699728384 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 x (sin.f64 y))))))
(if (<=.f64 x #s(literal -11200000000000000088942513045709044401815270166902368562129684748541827091555215043702871557211698002058536299329525483403320522046439424 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal -540000000000000000 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (if (<=.f64 x #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 x #s(literal 209999999999999987964793687720280338224563192085905686514576643673083646359721894244943779844539685522581173926872038056409089278269454264359709171071574090909062219279788596516244065129351444815423851415100179699728384 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -50999999999999995813316499947141685660688929710277676486833902356628082612720074154645383328785939592122549146219601304887970150225791758913512172490828984284547370361953078966103236665200378787577620251077430635517266095509602304 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3929008913747545/302231454903657293676544 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -50999999999999995813316499947141685660688929710277676486833902356628082612720074154645383328785939592122549146219601304887970150225791758913512172490828984284547370361953078966103236665200378787577620251077430635517266095509602304 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 y #s(literal -1152921504606847/2305843009213693952 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3929008913747545/302231454903657293676544 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -5188146770730811/144115188075855872 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3602879701896397/36028797018963968 binary64)) (+.f64 z (.f64 y (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 x #s(literal -7000000000000000195090964334063318778005827328862580230404690162898436096 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1650000000000000026710219416159467181264863232 binary64)) z (.f64 x y)))
(if (<=.f64 x #s(literal -7000000000000000195090964334063318778005827328862580230404690162898436096 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1650000000000000026710219416159467181264863232 binary64)) z (.f64 y x)))
z

soundness1.7s (18.5%)

Rules

6638×	`-lowering-.f32`
6638×	`-lowering-.f64`
5312×	`-lowering-.f32`
5312×	`-lowering-.f64`
4120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	3250
1	1270	3066
2	4636	3033
0	8238	3033
0	8	20
1	25	20
2	209	20
3	2700	20
0	8132	20
0	892	7341
1	3210	6787
0	9090	6787
0	109	645
1	362	622
2	1194	612
3	3562	606
4	6567	606
0	8152	606

Stop Event

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

Compiler

Compiled 292 to 150 computations (48.6% saved)

preprocess81.0ms (0.9%)

Compiler: Compiled 326 to 126 computations (61.3% saved)

Iter	Nodes	Cost
0	19	108
1	43	104
2	94	104
3	167	104
4	217	104
5	268	104
6	306	104
7	320	104
8	322	104
0	322	104

Iter	Nodes	Cost
0	19	108
1	43	104
2	94	104
3	167	104
4	217	104
5	268	104
6	306	104
7	320	104
8	322	104
0	322	104

analyze0.0ms (0%)

sample1.4s (14.9%)

preprocess87.0ms (0.9%)

explain112.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize41.0ms (0.5%)

series10.0ms (0.1%)

rewrite248.0ms (2.7%)

simplify263.0ms (2.9%)

eval24.0ms (0.3%)

prune25.0ms (0.3%)

simplify20.0ms (0.2%)

localize144.0ms (1.6%)

series18.0ms (0.2%)

rewrite402.0ms (4.4%)

simplify303.0ms (3.3%)

eval129.0ms (1.4%)

prune133.0ms (1.5%)

simplify187.0ms (2.1%)

localize196.0ms (2.1%)

series56.0ms (0.6%)

rewrite383.0ms (4.2%)

simplify368.0ms (4%)

eval141.0ms (1.5%)

prune183.0ms (2%)

simplify298.0ms (3.3%)

localize247.0ms (2.7%)

series54.0ms (0.6%)

rewrite385.0ms (4.2%)

simplify408.0ms (4.5%)

eval149.0ms (1.6%)

prune184.0ms (2%)

regimes96.0ms (1%)

regimes100.0ms (1.1%)

regimes103.0ms (1.1%)

regimes65.0ms (0.7%)

regimes43.0ms (0.5%)

regimes59.0ms (0.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch141.0ms (1.5%)

bsearch89.0ms (1%)

bsearch43.0ms (0.5%)

bsearch32.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.7s (18.5%)

preprocess81.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	108
1	43	104
2	94	104
3	167	104
4	217	104
5	268	104
6	306	104
7	320	104
8	322	104
0	322	104