Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C

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)

sample1.1s (7.8%)

Results

822.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 586.0ms

ival-sin: 237.0ms (40.4% of total)

ival-cos: 168.0ms (28.7% of total)

ival-add: 103.0ms (17.6% of total)

ival-mult: 68.0ms (11.6% of total)

const: 7.0ms (1.2% of total)

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

Bogosity

preprocess76.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

352×	`sub-neg`
300×	`associate-+l-`
296×	`cancel-sign-sub-inv`
288×	`distribute-rgt-in`
244×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	95	91
2	241	90
3	600	90
4	1066	90
5	1467	90
6	1765	90
7	1957	90
8	2064	90
9	2124	90
10	2138	90
11	2138	90
0	8	9
1	13	9
2	20	9
3	22	9
0	22	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)))
(+ x (+ (sin y) (* z (cos y))))
(+ (+ (neg x) (sin y)) (* z (cos y)))
(+ (* z (cos y)) (- (sin y) x))
(+ (+ x (sin (neg y))) (* z (cos (neg y))))
(+ (* z (cos y)) (- x (sin y)))
(+ (+ x (sin y)) (* (neg z) (cos y)))
(- (+ x (sin y)) (* z (cos y)))
(neg (+ (+ (neg x) (sin y)) (* z (cos y))))
(- x (+ (sin y) (* z (cos y))))
(neg (+ (+ x (sin (neg y))) (* z (cos (neg y)))))
(- (sin y) (+ x (* z (cos y))))
(neg (+ (+ x (sin y)) (* (neg z) (cos y))))
(- (* z (cos y)) (+ x (sin y)))
(+ (+ y (sin x)) (* z (cos x)))
(+ y (+ (sin x) (* z (cos x))))
(+ (+ z (sin y)) (* x (cos y)))
(+ (sin y) (+ z (* x (cos y))))
(+ (+ x (sin z)) (* y (cos z)))
(+ (sin z) (+ x (* y (cos z))))

explain160.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

119.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-mult: 28.0ms (46.1% of total)

ival-cos: 13.0ms (21.4% of total)

ival-sin: 13.0ms (21.4% of total)

ival-add: 5.0ms (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)

localize55.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 x (sin.f64 y))
✓	cost-diff	0	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓	accuracy	100.0%	(+.f64 x (sin.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	13	24
2	20	24
3	22	24
0	22	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)

Results

31.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-sin: 6.0ms (37.8% of total)

ival-cos: 5.0ms (31.5% of total)

ival-add: 3.0ms (18.9% of total)

ival-mult: 2.0ms (12.6% 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 (* z (cos y))>
#<alt (cos y)>
#<alt (sin y)>
#<alt (+ x (sin y))>
#<alt (+ (+ x (sin y)) (* z (cos y)))>

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

Calls

27 calls:

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

rewrite669.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4470×	`-lowering-.f32`
4470×	`-lowering-.f64`
4404×	`accelerator-lowering-fma.f32`
4404×	`accelerator-lowering-fma.f64`
2454×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	38	21
2	357	21
3	5534	21
0	8304	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 172

Calls

Call 1

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

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

simplify714.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

11712×	`accelerator-lowering-fma.f32`
11712×	`accelerator-lowering-fma.f64`
3160×	`-lowering-.f32`
3160×	`-lowering-.f64`
2322×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	647
1	310	643
2	849	633
3	2185	631
4	4242	631
5	7286	631
0	8441	578

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval50.0ms (0.4%)

Compiler: Compiled 6906 to 2275 computations (67.1% saved)

prune42.0ms (0.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	268	12	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	269	12	281

Accuracy

100.0%

Counts

281 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))
	56.1%	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
▶	59.4%	(+.f64 (sin.f64 y) x)
▶	65.3%	(+.f64 z (+.f64 y x))
	69.0%	(+.f64 z x)
	60.5%	(+.f64 y (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
▶	58.1%	(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))))
	85.2%	(+.f64 x (*.f64 z (cos.f64 y)))
▶	99.8%	(.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))))
	41.9%	(*.f64 z (cos.f64 y))
▶	45.4%	x

Compiler

Compiled 338 to 216 computations (36.1% saved)

localize919.0ms (6.6%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))
✓	cost-diff	0	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.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 z (cos.f64 y))
✓	cost-diff	0	(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
✓	cost-diff	26624	(.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
✓	cost-diff	26752	(.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))))
✓	accuracy	100.0%	(+.f64 (sin.f64 y) x)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(+.f64 z (+.f64 y x))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))

Rules

6358×	`accelerator-lowering-fma.f32`
6358×	`accelerator-lowering-fma.f64`
4436×	`-lowering-.f32`
4436×	`-lowering-.f64`
2892×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	153
1	73	149
2	194	149
3	590	149
4	2709	149
5	4635	149
0	8107	135

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

211.0ms

256×

valid

Compiler

Compiled 211 to 79 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 85.0ms (55.8% of total)

ival-add: 25.0ms (16.4% of total)

ival-div: 22.0ms (14.4% of total)

ival-cos: 8.0ms (5.2% of total)

ival-sin: 8.0ms (5.2% of total)

const: 3.0ms (2% of total)

ival-sub: 1.0ms (0.7% of total)

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

series39.0ms (0.3%)

Counts

17 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

rewrite826.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

4888×	`accelerator-lowering-fma.f32`
4888×	`accelerator-lowering-fma.f64`
4096×	`-lowering-.f32`
4096×	`-lowering-.f64`
3740×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	136
1	191	132
2	1879	132
0	8575	118

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 596

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (log.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))))
(pow.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))))
(.f64 (pow.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 x (.f64 z (cos.f64 y))) #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 x (.f64 z (cos.f64 y))) (-.f64 (-.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y)))))
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(/.f64 (+.f64 (.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (pow.f64 (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (-.f64 (.f64 (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))) (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (+.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))) (-.f64 (.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (/.f64 (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (/.f64 (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))))

simplify767.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

10896×	`accelerator-lowering-fma.f32`
10896×	`accelerator-lowering-fma.f64`
4738×	`-lowering-.f32`
4738×	`-lowering-.f64`
4496×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	475	4757
1	1459	4660
2	4651	4522
0	8233	4200

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

eval379.0ms (2.7%)

Compiler: Compiled 46228 to 17101 computations (63% saved)

prune205.0ms (1.5%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1290	20	1310
Fresh	2	5	7
Picked	2	3	5
Done	0	0	0
Total	1294	28	1322

Accuracy

100.0%

Counts

1322 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))
	58.1%	(+.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))
	56.1%	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
	33.2%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) x)
	35.5%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
	34.6%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) x)
✓	59.4%	(+.f64 (sin.f64 y) x)
✓	65.3%	(+.f64 z (+.f64 y x))
	30.2%	(+.f64 z y)
	69.0%	(+.f64 z x)
	42.2%	(+.f64 y x)
	58.1%	(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
	58.1%	(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
▶	41.9%	(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
	53.5%	(+.f64 x (+.f64 z (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
	56.9%	(+.f64 x (+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
	28.4%	(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
	85.2%	(+.f64 x (*.f64 z (cos.f64 y)))
	41.9%	(.f64 (.f64 z (cos.f64 y)) (.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))))
▶	25.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
	41.9%	(*.f64 z (cos.f64 y))
	2.7%	(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
	51.9%	(.f64 x (+.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))) x) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
▶	16.2%	(sin.f64 y)
	26.2%	z
▶	7.2%	y
✓	45.4%	x

Compiler

Compiled 879 to 587 computations (33.2% saved)

localize812.0ms (5.9%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	128	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
✓	cost-diff	128	(.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))
✓	cost-diff	128	(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
✓	cost-diff	128	(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 y y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
✓	accuracy	99.9%	(+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))
✓	accuracy	99.8%	(.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))
✓	accuracy	82.1%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 y y))
✓	accuracy	95.1%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))

Rules

4606×	`-lowering-.f32`
4606×	`-lowering-.f64`
3286×	`accelerator-lowering-fma.f32`
3286×	`accelerator-lowering-fma.f64`
2278×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	142
1	64	136
2	169	136
3	446	134
4	678	134
5	1373	134
6	2745	134
7	3242	134
8	3779	134
9	4014	134
10	4355	134
11	4819	134
12	6676	134
13	7776	134
0	8063	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

168.0ms

256×

valid

Compiler

Compiled 164 to 72 computations (56.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 58.0ms (44.6% of total)

ival-cos: 30.0ms (23.1% of total)

ival-div: 16.0ms (12.3% of total)

ival-add: 16.0ms (12.3% of total)

ival-sin: 8.0ms (6.1% of total)

const: 3.0ms (2.3% of total)

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

series35.0ms (0.3%)

Counts

15 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

rewrite717.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5034×	`accelerator-lowering-fma.f32`
5034×	`accelerator-lowering-fma.f64`
4164×	`/-lowering-/.f32`
4164×	`/-lowering-/.f64`
3762×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	124
1	160	118
2	1406	118
0	8292	106

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 585

Calls

Call 1

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

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

simplify1.1s (7.7%)

Algorithm

1×	egg-herbie

Rules

13538×	`accelerator-lowering-fma.f32`
13538×	`accelerator-lowering-fma.f64`
5924×	`-lowering-.f32`
5924×	`-lowering-.f64`
4408×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	3823
1	1109	3769
2	3550	3655
0	8133	3360

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

eval243.0ms (1.8%)

Compiler: Compiled 27150 to 13430 computations (50.5% saved)

prune165.0ms (1.2%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	951	17	968
Fresh	9	11	20
Picked	2	3	5
Done	0	3	3
Total	962	34	996

Accuracy

100.0%

Counts

996 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
	51.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))
	68.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
	41.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	45.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	62.6%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
	58.1%	(+.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))
	56.1%	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
✓	59.4%	(+.f64 (sin.f64 y) x)
✓	65.3%	(+.f64 z (+.f64 y x))
	30.2%	(+.f64 z y)
	69.0%	(+.f64 z x)
	42.2%	(+.f64 y x)
	41.8%	(+.f64 x (+.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (.f64 y (.f64 y y)))))
	53.5%	(+.f64 x (+.f64 z (.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))))
▶	58.1%	(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
	45.0%	(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
	28.4%	(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
▶	85.2%	(+.f64 x (*.f64 z (cos.f64 y)))
	41.9%	(.f64 (.f64 z (cos.f64 y)) (.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))))
	7.2%	(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y))))
	2.7%	(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
✓	25.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
▶	3.1%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
	41.9%	(*.f64 z (cos.f64 y))
	7.1%	(.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))))))
▶	6.8%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))))
	6.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
	3.1%	(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
✓	16.2%	(sin.f64 y)
▶	26.2%	z
✓	7.2%	y
✓	45.4%	x

Compiler

Compiled 1000 to 667 computations (33.3% saved)

localize402.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))
✓	cost-diff	0	(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
✓	cost-diff	0	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
✓	cost-diff	0	(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(+.f64 x (*.f64 z (cos.f64 y)))
✓	accuracy	99.9%	(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/5040 binary64)))
✓	accuracy	99.7%	(.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	89.7%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Rules

1960×	`accelerator-lowering-fma.f32`
1960×	`accelerator-lowering-fma.f64`
730×	`-lowering-.f32`
730×	`-lowering-.f64`
380×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	194
1	82	194
2	215	186
3	574	186
4	1120	186
5	1311	186
6	1323	186
7	1323	186
8	1338	186
9	1341	186
0	1341	167

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

170.0ms

256×

valid

Compiler

Compiled 210 to 116 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 81.0ms (65.5% of total)

ival-add: 26.0ms (21% of total)

ival-cos: 12.0ms (9.7% of total)

const: 4.0ms (3.2% of total)

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

series28.0ms (0.2%)

Counts

18 → 300

Calls

Call 1

Inputs
#<alt (* z (cos y))>
#<alt (+ x (* z (cos y)))>
#<alt (cos y)>
#<alt (* z (* y (* y -1/2)))>
#<alt (* y -1/2)>
#<alt (* y (* y -1/2))>
#<alt (* (* y y) -1/6)>
#<alt (* y (+ 1 (* (* y y) -1/6)))>
#<alt (* y y)>
#<alt (+ 1 (* (* y y) -1/6))>
#<alt (* y (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040))))))>
#<alt (* y (* y -1/5040))>
#<alt (* (* y y) (+ 1/120 (* y (* y -1/5040))))>
#<alt (* y (* y (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040)))))))>
#<alt (+ x (+ z (* y (+ 1 (* (* y y) -1/6)))))>
#<alt (+ z (* y (+ 1 (* (* y y) -1/6))))>
#<alt (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040)))))))))>
#<alt (+ 1 (* y (* y (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040))))))))>

Outputs
#<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 (* z (cos y))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt x>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (+ x z)>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))>
#<alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* 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 (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (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 y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt 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 y)>
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* -1/5040 (pow y 5))>
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 5))>
#<alt (* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (+ z (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/6 (pow y 2)))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/6 (pow y 2)))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/6 (pow y 2)))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/6 (pow y 2))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/6 (pow y 2))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/6 (pow y 2))))) x)) 1)))>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt z>
#<alt (* z (+ 1 (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))>
#<alt (* z (+ 1 (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))>
#<alt (* z (+ 1 (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3)))) 1/6))>
#<alt (* (pow y 3) (- (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3)))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- (+ 1/6 (* -1 (/ (+ x z) (pow y 3)))) (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- (+ 1/6 (* -1 (/ (+ x z) (pow y 3)))) (/ 1 (pow y 2)))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (+ z (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ z (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ z (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt z>
#<alt (* z (+ 1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))>
#<alt (* z (+ 1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))>
#<alt (* z (+ 1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ z (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (+ (/ 1 (pow y 2)) (/ z (pow y 3))) 1/6))>
#<alt (* (pow y 3) (- (+ (/ 1 (pow y 2)) (/ z (pow y 3))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- (+ 1/6 (* -1 (/ z (pow y 3)))) (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- (+ 1/6 (* -1 (/ z (pow y 3)))) (/ 1 (pow y 2)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(* z (* y (* y -1/2)))
1.0ms	y	@	inf	(* y (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040))))))
0.0ms	z	@	inf	(* z (* y (* y -1/2)))
0.0ms	x	@	0	(+ x (+ z (* y (+ 1 (* (* y y) -1/6)))))
0.0ms	y	@	inf	(* (* y y) (+ 1/120 (* y (* y -1/5040))))

rewrite814.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

8378×	`accelerator-lowering-fma.f32`
8378×	`accelerator-lowering-fma.f64`
4362×	`-lowering-.f32`
4362×	`-lowering-.f64`
3704×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	163
1	169	163
2	1478	155
0	8514	139

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 521

Calls

Call 1

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

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

simplify1.2s (8.7%)

Algorithm

1×	egg-herbie

Rules

15258×	`accelerator-lowering-fma.f32`
15258×	`accelerator-lowering-fma.f64`
4948×	`-lowering-.f32`
4948×	`-lowering-.f64`
3460×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	2417
1	514	2307
2	1568	2265
3	5408	2245
0	8468	2096

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 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))
(* z (cos y))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
x
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
x
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(+ x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* 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)
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
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 y)
(* y (- (* 1/120 (pow y 2)) 1/6))
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* -1/5040 (pow y 5))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 5))
(* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/6 (pow y 2))
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(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
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(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/6 (pow y 2)))) x))))
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x
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z
(* -1 (* z (- (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) 1)))
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(+ y z)
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Outputs
(* z (cos y))
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(* z (cos y))
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(* z (cos y))
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(* z (cos y))
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(* z (cos y))
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(+.f64 (*.f64 z (cos.f64 y)) x)
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(+ x (* z (cos y)))
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(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
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(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
1
#s(literal 1 binary64)
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(cos y)
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(.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y)))
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(* -1/2 y)
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(* -1/2 y)
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(* -1/2 (pow y 2))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
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(.f64 #s(literal -1/2 binary64) (.f64 y y))
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(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
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(.f64 (.f64 y y) #s(literal -1/6 binary64))
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y
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#s(literal 1 binary64)
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(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))) (pow.f64 y #s(literal 7 binary64)))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
(* -1/5040 (pow y 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))) (pow.f64 y #s(literal 6 binary64))))
(* -1/5040 (pow y 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))) (pow.f64 y #s(literal 6 binary64))))

eval351.0ms (2.5%)

Compiler: Compiled 27416 to 13625 computations (50.3% saved)

prune155.0ms (1.1%)

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	832	9	841
Fresh	5	18	23
Picked	2	3	5
Done	0	6	6
Total	839	36	875

Accuracy

100.0%

Counts

875 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.1%	(/.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 x x)) (-.f64 (.f64 z (cos.f64 y)) x))
	13.7%	(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))))
	51.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))
	68.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
	41.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	45.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	62.6%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
	58.1%	(+.f64 (+.f64 (+.f64 z x) y) (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
	6.9%	(+.f64 (.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) y)
	56.1%	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
✓	59.4%	(+.f64 (sin.f64 y) x)
✓	65.3%	(+.f64 z (+.f64 y x))
	29.2%	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
	30.2%	(+.f64 z y)
	69.0%	(+.f64 z x)
	42.2%	(+.f64 y x)
	41.8%	(+.f64 x (+.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (.f64 y (.f64 y y)))))
	45.0%	(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
	28.4%	(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
✓	85.2%	(+.f64 x (*.f64 z (cos.f64 y)))
	3.1%	(.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))
	7.2%	(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y))))
	2.7%	(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
✓	25.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
✓	3.1%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
	41.9%	(*.f64 z (cos.f64 y))
	7.1%	(.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))))))
	6.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
	6.8%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))))))))
	6.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
	52.0%	(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) x))))
✓	16.2%	(sin.f64 y)
✓	26.2%	z
✓	7.2%	y
✓	45.4%	x

Compiler

Compiled 1535 to 831 computations (45.9% saved)

regimes81.0ms (0.6%)

Counts

59 → 1

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 z (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 x (+.f64 z (.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(+.f64 y (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
(+.f64 (+.f64 (+.f64 z x) y) (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.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 x (+.f64 z (.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (+.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (.f64 y (.f64 y y)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) x)
(+.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) x))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))))))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 (.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) y)
(.f64 x (+.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))) x) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) x)
(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (*.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (.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 x x)) (-.f64 (.f64 z (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 z (cos.f64 y)) (.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))
(.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (.f64 (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))))

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

Calls

4 calls:

26.0ms	z
17.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms	x
16.0ms	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)

regimes217.0ms (1.6%)

Counts

49 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 z (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 x (+.f64 z (.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(+.f64 y (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
(+.f64 (+.f64 (+.f64 z x) y) (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.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 x (+.f64 z (.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (+.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (.f64 y (.f64 y y)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) x)
(+.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) x))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))))))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 (.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) y)
(.f64 x (+.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))) x) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) x)
(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (*.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))

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

Calls

3 calls:

135.0ms	x
44.0ms	y
33.0ms	z

Results

Accuracy	Segments	Branch
96.0%	3	`x`
91.6%	4	`y`
96.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes170.0ms (1.2%)

Counts

46 → 5

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 z (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 x (+.f64 z (.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(+.f64 y (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
(+.f64 (+.f64 (+.f64 z x) y) (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.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 x (+.f64 z (.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (+.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (.f64 y (.f64 y y)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) x)
(+.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) x))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))))))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 (.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) y)
(.f64 x (+.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))) x) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) x)
(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(+.f64 (sin.f64 y) x)

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

Calls

3 calls:

68.0ms	z
55.0ms	x
41.0ms	y

Results

Accuracy	Segments	Branch
82.0%	3	`y`
78.0%	5	`x`
87.4%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes132.0ms (1%)

Counts

45 → 5

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 z (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 x (+.f64 z (.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(+.f64 y (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
(+.f64 (+.f64 (+.f64 z x) y) (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.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 x (+.f64 z (.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (+.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (.f64 y (.f64 y y)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) x)
(+.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) x))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))))))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 (.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) y)
(.f64 x (+.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))) x) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) x)
(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))))
(sin.f64 y)
(*.f64 z (cos.f64 y))

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

Calls

2 calls:

69.0ms	z
57.0ms	y

Results

Accuracy	Segments	Branch
78.0%	5	`y`
78.6%	5	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes212.0ms (1.5%)

Counts

44 → 4

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 z (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 x (+.f64 z (.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(+.f64 y (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
(+.f64 (+.f64 (+.f64 z x) y) (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.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 x (+.f64 z (.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (+.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (.f64 y (.f64 y y)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) x)
(+.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) x))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))))))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 (.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) y)
(.f64 x (+.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))) x) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) x)
(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))))
(sin.f64 y)

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

Calls

3 calls:

48.0ms	y
41.0ms	x
37.0ms	z

Results

Accuracy	Segments	Branch
73.0%	3	`x`
75.5%	4	`y`
71.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes46.0ms (0.3%)

Counts

43 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 z (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 z (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 x (+.f64 z (.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(+.f64 y (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
(+.f64 (+.f64 (+.f64 z x) y) (.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.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 x (+.f64 z (.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))))
(+.f64 x (+.f64 z (.f64 y (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))))
(+.f64 x (+.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 z (/.f64 #s(literal -1/2 binary64) y))) (.f64 y (.f64 y y)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) x)
(+.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 z x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) x))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))))))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))))
(+.f64 (.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) y)
(.f64 x (+.f64 (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))) x) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) x)
(+.f64 x (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z))))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))))) (.f64 (-.f64 x z) (+.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64))))))))

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

Calls

1 calls:

43.0ms

Results

Accuracy	Segments	Branch
73.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes54.0ms (0.4%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

1 calls:

52.0ms

Results

Accuracy	Segments	Branch
73.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.2%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
73.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
73.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
73.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)

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

Calls

2 calls:

6.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
72.7%	3	`x`
69.0%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)

Outputs
(+.f64 z x)

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
69.0%	1	`y`
69.0%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes22.0ms (0.2%)

Counts

4 → 5

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)

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

Calls

3 calls:

12.0ms	y
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
58.2%	5	`z`
61.6%	5	`x`
56.1%	6	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
x
y
z

Outputs
x
z
x

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
59.5%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

3 calls:

3.0ms	x
2.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
45.4%	1	`y`
45.4%	1	`z`
49.3%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	x
0.0ms	y
0.0ms	z

Results

Accuracy	Segments	Branch
45.4%	1	`y`
45.4%	1	`z`
45.4%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	0.016963311106534686	212.31372782750043
17.0ms	-4.969353268868003e-21	-8.56175089457979e-26

Results

27.0ms

256×

valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

Precisions

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

ival-sin: 8.0ms (42.1% of total)

ival-cos: 6.0ms (31.6% of total)

ival-add: 3.0ms (15.8% of total)

ival-mult: 2.0ms (10.5% of total)

const: 0.0ms (0% of total)

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

bsearch103.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	9345983470277300.0	196422450590910980.0
19.0ms	-4.969353268868003e-21	-8.56175089457979e-26
50.0ms	-1.746873820157895e+30	-2.384438000888291e+25
10.0ms	-3.355930007336452e+161	-1.409332363686848e+161

Results

79.0ms	463×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 468 to 347 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-cos: 42.0ms (65.6% of total)

ival-sin: 13.0ms (20.3% of total)

ival-add: 5.0ms (7.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch60.0ms (0.4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	5.558018577542376e+196	3.4191833022769537e+199
8.0ms	1.6997366591735075e-136	2.6479848540570524e-136
20.0ms	-1.0349442179501587e-234	-1.3539763898004874e-238
11.0ms	-3.355930007336452e+161	-1.409332363686848e+161

Results

44.0ms

400×

valid

Compiler

Compiled 405 to 288 computations (28.9% saved)

Precisions

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

ival-cos: 11.0ms (39.1% of total)

ival-sin: 10.0ms (35.6% of total)

ival-add: 4.0ms (14.2% of total)

ival-mult: 3.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

bsearch94.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
38.0ms	204.67972937771933	27236763443200766000.0
23.0ms	-1.4754090784942194e+35	-2.766572203394312e+31
29.0ms	-1.2610935521154897e+239	-1.039902447890063e+227

Results

58.0ms

448×

valid

Compiler

Compiled 652 to 455 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 17.0ms (41.5% of total)

ival-cos: 14.0ms (34.2% of total)

ival-add: 6.0ms (14.6% of total)

ival-mult: 4.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

bsearch52.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	204.67972937771933	27236763443200766000.0
23.0ms	-1.4754090784942194e+35	-2.766572203394312e+31

Results

39.0ms

288×

valid

Compiler

Compiled 522 to 355 computations (32% saved)

Precisions

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

ival-sin: 13.0ms (46.4% of total)

ival-cos: 9.0ms (32.1% of total)

ival-add: 3.0ms (10.7% of total)

ival-mult: 2.0ms (7.1% of total)

const: 0.0ms (0% of total)

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

bsearch52.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	204.67972937771933	27236763443200766000.0
22.0ms	-1.4754090784942194e+35	-2.766572203394312e+31

Results

40.0ms

288×

valid

Compiler

Compiled 522 to 373 computations (28.5% saved)

Precisions

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

ival-cos: 15.0ms (49% of total)

ival-sin: 10.0ms (32.7% of total)

ival-add: 3.0ms (9.8% of total)

ival-mult: 2.0ms (6.5% of total)

const: 0.0ms (0% of total)

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

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	204.67972937771933	27236763443200766000.0
23.0ms	-1.2514020152612269e+44	-3.381458039733952e+40

Results

37.0ms

288×

valid

Compiler

Compiled 450 to 319 computations (29.1% saved)

Precisions

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

ival-sin: 11.0ms (39.9% of total)

ival-cos: 9.0ms (32.6% of total)

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

ival-mult: 2.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	56.015723492695905	204.67972937771933
23.0ms	-1.4754090784942194e+35	-2.766572203394312e+31

Results

27.0ms

208×

valid

Compiler

Compiled 330 to 234 computations (29.1% saved)

Precisions

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

ival-sin: 8.0ms (38.8% of total)

ival-cos: 6.0ms (29.1% of total)

ival-mult: 4.0ms (19.4% of total)

ival-add: 2.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.5694556739682195e-21	8.340904765050186e-14
22.0ms	-79.57110275115441	-7.688878234402206e-7

Results

27.0ms

288×

valid

Compiler

Compiled 306 to 211 computations (31% saved)

Precisions

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

ival-sin: 7.0ms (39.9% of total)

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

ival-add: 3.0ms (17.1% of total)

ival-mult: 2.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.384539459256053e-93	6.519691149256528e-93
26.0ms	-1.8695596814086562e-137	-1.2763250588449479e-151

Results

26.0ms

224×

valid

Compiler

Compiled 214 to 153 computations (28.5% saved)

Precisions

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

ival-mult: 8.0ms (40.6% of total)

ival-sin: 5.0ms (25.4% of total)

ival-cos: 4.0ms (20.3% of total)

ival-add: 2.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

bsearch74.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	0.2806530143015416	1.8748040683608986
17.0ms	6.582081968156966e-90	1.4729944066266275e-86
17.0ms	5.848914808020219e-184	3.3775004777702844e-179
16.0ms	-1.9026435760251102e-51	-1.4971735120681508e-52

Results

49.0ms

448×

valid

Compiler

Compiled 330 to 253 computations (23.3% saved)

Precisions

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

ival-cos: 13.0ms (37.8% of total)

ival-sin: 12.0ms (34.9% of total)

ival-add: 6.0ms (17.4% of total)

ival-mult: 3.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.2806530143015416	1.8748040683608986
12.0ms	-1.9026435760251102e-51	-1.4971735120681508e-52

Results

25.0ms

192×

valid

Compiler

Compiled 138 to 109 computations (21% saved)

Precisions

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

ival-cos: 11.0ms (59% of total)

ival-sin: 4.0ms (21.4% of total)

ival-add: 2.0ms (10.7% of total)

ival-mult: 2.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.384539459256053e-93	6.519691149256528e-93
18.0ms	-2.486494292422993e-133	-1.8695596814086562e-137

Results

20.0ms

192×

valid

Compiler

Compiled 138 to 109 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 6.0ms (45.3% of total)

ival-cos: 4.0ms (30.2% of total)

ival-add: 2.0ms (15.1% of total)

ival-mult: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

soundness3.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 344 to 156 computations (54.7% saved)

preprocess91.0ms (0.7%)

Compiler: Compiled 712 to 328 computations (53.9% saved)

analyze0.0ms (0%)

sample1.1s (7.8%)

preprocess76.0ms (0.5%)

explain160.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize55.0ms (0.4%)

series10.0ms (0.1%)

rewrite669.0ms (4.8%)

simplify714.0ms (5.2%)

eval50.0ms (0.4%)

prune42.0ms (0.3%)

localize919.0ms (6.6%)

series39.0ms (0.3%)

rewrite826.0ms (6%)

simplify767.0ms (5.5%)

eval379.0ms (2.7%)

prune205.0ms (1.5%)

localize812.0ms (5.9%)

series35.0ms (0.3%)

rewrite717.0ms (5.2%)

simplify1.1s (7.7%)

eval243.0ms (1.8%)

prune165.0ms (1.2%)

localize402.0ms (2.9%)

series28.0ms (0.2%)

rewrite814.0ms (5.9%)

simplify1.2s (8.7%)

eval351.0ms (2.5%)

prune155.0ms (1.1%)

regimes81.0ms (0.6%)

regimes217.0ms (1.6%)

regimes170.0ms (1.2%)

regimes132.0ms (1%)

regimes212.0ms (1.5%)

regimes46.0ms (0.3%)

regimes54.0ms (0.4%)

regimes32.0ms (0.2%)

regimes22.0ms (0.2%)

regimes19.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes22.0ms (0.2%)

regimes6.0ms (0%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

bsearch59.0ms (0.4%)

bsearch103.0ms (0.7%)

bsearch60.0ms (0.4%)

bsearch94.0ms (0.7%)

bsearch52.0ms (0.4%)

bsearch52.0ms (0.4%)

bsearch51.0ms (0.4%)

bsearch38.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch36.0ms (0.3%)

bsearch74.0ms (0.5%)

bsearch33.0ms (0.2%)

bsearch28.0ms (0.2%)

soundness3.0ms (0%)

preprocess91.0ms (0.7%)

end0.0ms (0%)

Profiling