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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.3s (13.8%)

Results

1.0s	8254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 708.0ms

ival-sin: 242.0ms (34.2% of total)

ival-cos: 219.0ms (30.9% of total)

ival-add: 102.0ms (14.4% of total)

ival-mult: 86.0ms (12.1% of total)

ival-sub: 48.0ms (6.8% of total)

const: 8.0ms (1.1% of total)

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

Bogosity

preprocess123.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

2748×	`sum4-define`
2252×	`sum5-define`
1828×	`fnmadd-define`
1772×	`sum3-define`
1472×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	105	89
2	287	83
3	753	80
4	2966	80
5	6729	80
0	8	9
1	17	9
2	41	8
3	73	8
4	144	8
5	392	8
6	771	8
7	1441	8
8	1932	8
9	2915	8
10	3283	8
11	3317	8
0	3317	8

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain100.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

64.0ms	510×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-cos: 15.0ms (39.8% of total)

ival-sin: 11.0ms (29.2% of total)

ival-sub: 4.0ms (10.6% of total)

ival-mult: 4.0ms (10.6% of total)

ival-add: 3.0ms (8% of total)

const: 1.0ms (2.7% 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 (cos.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1472×	`sum5-define`
996×	`sum4-define`
832×	`sum3-define`
646×	`fnmadd-define`
456×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	17	24
2	41	23
3	73	23
4	144	23
5	392	23
6	771	23
7	1441	23
8	1932	23
9	2915	23
10	3283	23
11	3317	23
0	3317	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize41.0ms (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

32.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-sin: 10.0ms (48.3% of total)

ival-cos: 6.0ms (29% of total)

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

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

ival-sub: 1.0ms (4.8% of total)

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

const: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite304.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3852×	`-lowering-.f32`
3852×	`-lowering-.f64`
2510×	`/-lowering-/.f32`
2510×	`/-lowering-/.f64`
1746×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	42	19
2	410	18
3	6312	18
0	8116	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 155

Calls

Call 1

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

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

simplify222.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2272×	`fma-lowering-fma.f32`
2272×	`fma-lowering-fma.f64`
2270×	`-lowering-.f32`
2270×	`-lowering-.f64`
1760×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	629
1	306	588
2	936	579
3	2792	577
4	6411	577
0	8415	577

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval60.0ms (0.6%)

Compiler: Compiled 6747 to 584 computations (91.3% saved)

prune40.0ms (0.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	237	14	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	238	14	252

Accuracy

100.0%

Counts

252 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
	64.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
	56.5%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	70.1%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	60.9%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
	73.8%	(+.f64 (cos.f64 y) x)
	67.3%	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
	65.0%	(+.f64 x #s(literal 1 binary64))
	60.7%	(+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
	45.3%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 z (sin.f64 y)) (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
▶	99.8%	(.f64 (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
	85.9%	(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))
▶	45.2%	x

Compiler

Compiled 520 to 284 computations (45.4% saved)

simplify257.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 x (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
✓	cost-diff	0	(+.f64 x (cos.f64 y))
✓	cost-diff	0	(+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	cost-diff	128	(.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓	cost-diff	26752	(.f64 (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))

Rules

2990×	`-lowering-.f32`
2990×	`-lowering-.f64`
1470×	`fma-lowering-fma.f32`
1470×	`fma-lowering-fma.f64`
1344×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	246
1	61	241
2	175	160
3	755	160
4	5322	160
5	7981	160
0	8455	160

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize238.0ms (2.6%)

Localize:

Found 15 expressions of interest:

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

Results

178.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 210 to 24 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-add: 30.0ms (36.4% of total)

ival-sin: 28.0ms (34% of total)

ival-mult: 9.0ms (10.9% of total)

ival-cos: 6.0ms (7.3% of total)

ival-div: 5.0ms (6.1% of total)

ival-sub: 4.0ms (4.9% of total)

const: 1.0ms (1.2% of total)

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

series62.0ms (0.7%)

Counts

17 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
23.0ms	z	@	inf	(* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ (+ x (cos y)) (* z (sin y)))))
3.0ms	y	@	0	(/ 1 (+ (+ x (cos y)) (* z (sin y))))
2.0ms	z	@	-inf	(* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ (+ x (cos y)) (* z (sin y)))))
1.0ms	z	@	-inf	(/ 1 (+ x (- (cos y) (* z (sin y)))))
1.0ms	x	@	0	(* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ (+ x (cos y)) (* z (sin y)))))

rewrite439.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3674×	`/-lowering-/.f32`
3674×	`/-lowering-/.f64`
3424×	`-lowering-.f32`
3424×	`-lowering-.f64`
1624×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	174
1	166	120
2	1656	113
0	8295	113

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1104

Calls

Call 1

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

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

simplify342.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4850×	`-lowering-.f32`
4850×	`-lowering-.f64`
3752×	`+-lowering-+.f64`
3752×	`+-lowering-+.f32`
1916×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	715	6245
1	2434	5683
0	8189	5683

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

eval301.0ms (3.3%)

Compiler: Compiled 81336 to 4286 computations (94.7% saved)

prune256.0ms (2.8%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	2150	18	2168
Fresh	5	4	9
Picked	3	2	5
Done	0	0	0
Total	2158	24	2182

Accuracy

100.0%

Counts

2182 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	28.3%	(/.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 (sin.f64 y))))
	27.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
	67.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
	64.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
	60.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
	56.5%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	40.8%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
✓	70.1%	(-.f64 x (*.f64 z (sin.f64 y)))
	47.7%	(-.f64 x (*.f64 z y))
	39.9%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
	41.6%	(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) z)))
▶	60.7%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
	50.3%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
▶	54.1%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))
▶	73.8%	(+.f64 (cos.f64 y) x)
	67.3%	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
▶	65.0%	(+.f64 x #s(literal 1 binary64))
	26.5%	(.f64 (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
	57.4%	(.f64 (.f64 (/.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 1/2 binary64))) (/.f64 (+.f64 x (+.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)))) (.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
	56.3%	(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
▶	61.3%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
	3.0%	(.f64 #s(literal -1/2 binary64) (.f64 y y))
✓	45.2%	x

Compiler

Compiled 759 to 455 computations (40.1% saved)

simplify164.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2016×	`sum4-define`
1884×	`sum5-define`
1720×	`fma-lowering-fma.f32`
1720×	`fma-lowering-fma.f64`
1486×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	139
1	65	134
2	154	132
3	376	132
4	1115	129
5	3047	128
6	6766	128
0	8031	128

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize114.0ms (1.2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 z x)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	95.7%	(*.f64 (sin.f64 y) (/.f64 z x))
✓	accuracy	92.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 y (.f64 z #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 z #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (cos.f64 y) x)

Results

80.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 148 to 25 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 14.0ms (30.4% of total)

ival-cos: 7.0ms (15.2% of total)

ival-add: 7.0ms (15.2% of total)

ival-sin: 6.0ms (13% of total)

ival-sub: 5.0ms (10.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (8.7% of total)

ival-div: 2.0ms (4.3% of total)

const: 1.0ms (2.2% of total)

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

series27.0ms (0.3%)

Counts

16 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(* y (* z 1/6))
3.0ms	y	@	-inf	(* x (- 1 (* (sin y) (/ z x))))
1.0ms	x	@	0	(+ (+ x 1) (* y (- (* y (+ -1/2 (* y (* z 1/6)))) z)))
1.0ms	z	@	inf	(+ (+ x 1) (* y (- (* y (+ -1/2 (* y (* z 1/6)))) z)))
1.0ms	y	@	inf	(* x (- 1 (* (sin y) (/ z x))))

rewrite349.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3460×	`-lowering-.f32`
3460×	`-lowering-.f64`
2864×	`/-lowering-/.f32`
2864×	`/-lowering-/.f64`
2650×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	105
1	152	101
2	1360	99
0	8537	99

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 383

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 x (cos.f64 y))))
(fma.f64 x #s(literal 1 binary64) (cos.f64 y))
(fma.f64 #s(literal 1 binary64) x (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 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 (cos.f64 y) x))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.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 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 x (-.f64 x (cos.f64 y))))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)))) y)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) (-.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
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(/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64))) (.f64 y (.f64 y y))) (.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y))) (-.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (*.f64 y #s(literal -1/2 binary64))))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64)))) y)

simplify288.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
3228×	`+-lowering-+.f64`
3228×	`+-lowering-+.f32`
1698×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	2941
1	915	2786
2	3074	2695
3	7587	2695
0	8402	2695

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval96.0ms (1%)

Compiler: Compiled 24072 to 1655 computations (93.1% saved)

prune113.0ms (1.2%)

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	803	16	819
Fresh	3	14	17
Picked	3	2	5
Done	0	2	2
Total	809	34	843

Accuracy

100.0%

Counts

843 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	28.3%	(/.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 (sin.f64 y))))
	50.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 x z))))
	27.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
	67.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
	64.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
	60.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
	56.5%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	40.8%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
✓	70.1%	(-.f64 x (*.f64 z (sin.f64 y)))
	47.7%	(-.f64 x (*.f64 z y))
	39.9%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
	60.7%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (+.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (*.f64 y #s(literal -1/2 binary64))) z)))
▶	61.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) z)))
	50.3%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
	53.6%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
	52.2%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))) x)
▶	67.3%	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
✓	65.0%	(+.f64 x #s(literal 1 binary64))
	21.5%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
	54.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))))
	34.4%	(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
	28.8%	(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))))))
	4.5%	(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
	56.3%	(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
▶	9.7%	(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
✓	61.3%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
	63.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))
	44.4%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
	2.8%	(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) z)))
	3.0%	(.f64 #s(literal -1/2 binary64) (.f64 y y))
▶	30.9%	(cos.f64 y)
✓	45.2%	x
▶	22.0%	#s(literal 1 binary64)

Compiler

Compiled 1036 to 659 computations (36.4% saved)

simplify229.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2832×	`sum5-define`
1896×	`fmsub-define`
1548×	`fmm-def`
1522×	`fma-lowering-fma.f32`
1522×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	118
1	60	113
2	154	111
3	463	108
4	984	105
5	2307	105
6	4756	105
7	7114	105
8	7394	105
9	7423	105
10	7423	105
11	7423	105
0	8015	105

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize94.0ms (1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) z))
✓	accuracy	99.8%	(.f64 y (.f64 y (*.f64 #s(literal 1/6 binary64) z)))
✓	accuracy	99.8%	(.f64 y (.f64 #s(literal 1/6 binary64) z))
✓	accuracy	99.5%	(*.f64 #s(literal 1/6 binary64) z)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 y (.f64 z (+.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	96.2%	(.f64 z (+.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))

Results

66.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 124 to 23 computations (81.5% saved)

Precisions

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

ival-mult: 17.0ms (47.3% of total)

ival-cos: 6.0ms (16.7% of total)

ival-add: 5.0ms (13.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (11.1% of total)

ival-sub: 3.0ms (8.3% of total)

const: 1.0ms (2.8% of total)

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

series14.0ms (0.2%)

Counts

16 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

rewrite401.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3234×	`-lowering-.f32`
3234×	`-lowering-.f64`
3038×	`/-lowering-/.f32`
3038×	`/-lowering-/.f64`
2436×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	103
1	131	98
2	1160	96
0	8262	96

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 644

Calls

Call 1

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

Outputs
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) x))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y z) x)))
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (/.f64 (.f64 x x) (+.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y z))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y z)))))
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (-.f64 #s(literal 0 binary64) z) y (.f64 y z)))
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 (-.f64 #s(literal 0 binary64) y) z (.f64 y z)))
(+.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (fma.f64 #s(literal -1 binary64) (.f64 y z) (*.f64 y z)))
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 z (.f64 #s(literal 1 binary64) y)))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal 1 binary64) y) (.f64 z (.f64 #s(literal 1 binary64) y))))
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 y (.f64 #s(literal 1 binary64) z)))) (fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 1 binary64) z) (.f64 y (.f64 #s(literal 1 binary64) z))))
(+.f64 (fma.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 z (.f64 #s(literal 1 binary64) y)))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal 1 binary64) y) (.f64 z (.f64 #s(literal 1 binary64) y))))
(+.f64 (fma.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 y (.f64 #s(literal 1 binary64) z)))) (fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 1 binary64) z) (.f64 y (.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y z))
(-.f64 (/.f64 (.f64 x x) (+.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y z))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))) (+.f64 (+.f64 x #s(literal -1 binary64)) (.f64 y z))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y z))))) (/.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y z))))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)) (/.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y z))) (/.f64 (.f64 y (.f64 z (.f64 y z))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y z))))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (+.f64 #s(literal 1 binary64) (.f64 y z))))) x)
(fma.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y z))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))) (-.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y z)))) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y z)) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (.f64 z (*.f64 y z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))) (-.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z)))) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z)))))) (neg.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))) (-.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y z))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (.f64 z (.f64 y z)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y z)))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y z)))))
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(.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (.f64 y (*.f64 z #s(literal 1/6 binary64)))))))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 z #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) z)
(.f64 y (.f64 z #s(literal 1/6 binary64)))
(.f64 z (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 y z))
(.f64 (.f64 z #s(literal 1/6 binary64)) y)
(.f64 (.f64 y #s(literal 1/6 binary64)) z)
(.f64 y (.f64 y (*.f64 z #s(literal 1/6 binary64))))
(.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(.f64 (.f64 y z) (*.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y y) (*.f64 z #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) z))
(.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) z)
(.f64 (.f64 z #s(literal 1/6 binary64)) (*.f64 y y))
(.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) y)
(.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 y z))
(.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(.f64 (.f64 z (*.f64 y y)) #s(literal 1/6 binary64))

simplify326.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2550×	`-lowering-.f32`
2550×	`-lowering-.f64`
1994×	`fma-lowering-fma.f32`
1994×	`fma-lowering-fma.f64`
1946×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	2505
1	457	2411
2	1467	2321
3	4914	2248
0	8349	2248

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(- 1 (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
x
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(* -1 (* y z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(* -1 (* y z))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* -1 z)
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
-1
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(+ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))))
(+ 1 (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (/ z (pow y 2))))
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (/ z (pow y 2))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 x) (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 x) (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
(+ 1 x)
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* z (+ (* -1 (/ (+ 1 x) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ 1 x) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ 1 x) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 z)
(- (* 1/6 (* (pow y 2) z)) z)
(- (* 1/6 (* (pow y 2) z)) z)
(- (* 1/6 (* (pow y 2) z)) z)
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
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)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))

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

eval135.0ms (1.5%)

Compiler: Compiled 29124 to 1854 computations (93.6% saved)

prune161.0ms (1.7%)

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	970	10	980
Fresh	6	19	25
Picked	2	3	5
Done	0	4	4
Total	978	36	1014

Accuracy

100.0%

Counts

1014 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	28.3%	(/.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 (sin.f64 y))))
	50.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 x z))))
	27.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
	67.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
	64.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
	60.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
	9.4%	(-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y z)) (*.f64 y z))
	56.5%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	70.1%	(-.f64 x (*.f64 z (sin.f64 y)))
	47.7%	(-.f64 x (*.f64 z y))
	39.9%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
	28.8%	(-.f64 #s(literal 1 binary64) (*.f64 y z))
	50.3%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
✓	67.3%	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
✓	65.0%	(+.f64 x #s(literal 1 binary64))
	21.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
	21.5%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64)))
	54.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))))
	34.4%	(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
	28.8%	(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))))))
	9.7%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 y z))
	4.6%	(.f64 (.f64 (.f64 (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))) y) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))))
	18.9%	(.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y))) (+.f64 (/.f64 z (.f64 y y)) (*.f64 z #s(literal -1/6 binary64)))))
	4.5%	(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
	56.3%	(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
	2.8%	(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	2.8%	(.f64 y (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))
	65.7%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y z) #s(literal -1 binary64)) x)))
✓	61.3%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
	63.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))
	44.4%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
	3.0%	(.f64 #s(literal -1/2 binary64) (.f64 y y))
✓	30.9%	(cos.f64 y)
✓	45.2%	x
✓	22.0%	#s(literal 1 binary64)

Compiler

Compiled 1478 to 594 computations (59.8% saved)

regimes229.0ms (2.5%)

Counts

59 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 y (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y z) #s(literal -1 binary64)) x)))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 y z))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) z)))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y z)) (*.f64 y z))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (+.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y))) (+.f64 (/.f64 z (.f64 y y)) (*.f64 z #s(literal -1/6 binary64)))))
(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))) y) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.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 (sin.f64 y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 x z))))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
(.f64 (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
(.f64 (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (.f64 (/.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 1/2 binary64))) (/.f64 (+.f64 x (+.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)))) (.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 z (sin.f64 y)) (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))

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

Calls

4 calls:

148.0ms	x
39.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms	z
18.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes49.0ms (0.5%)

Counts

47 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 y (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y z) #s(literal -1 binary64)) x)))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 y z))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) z)))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y z)) (*.f64 y z))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (+.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y))) (+.f64 (/.f64 z (.f64 y y)) (*.f64 z #s(literal -1/6 binary64)))))
(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))) y) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

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

Calls

3 calls:

15.0ms	z
15.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
99.1%	3	`x`
89.6%	3	`y`
94.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.4%)

Counts

46 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 y (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y z) #s(literal -1 binary64)) x)))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 y z))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) z)))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y z)) (*.f64 y z))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (+.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y))) (+.f64 (/.f64 z (.f64 y y)) (*.f64 z #s(literal -1/6 binary64)))))
(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))) y) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 z x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))

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

Calls

2 calls:

16.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
94.2%	3	`z`
82.5%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes92.0ms (1%)

Counts

41 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 y (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y z) #s(literal -1 binary64)) x)))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 y z))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) z)))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y z)) (*.f64 y z))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (+.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y))) (+.f64 (/.f64 z (.f64 y y)) (*.f64 z #s(literal -1/6 binary64)))))
(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))) y) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)

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

Calls

3 calls:

12.0ms	y
11.0ms	z
11.0ms	x

Results

Accuracy	Segments	Branch
73.8%	1	`x`
81.2%	3	`y`
79.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes54.0ms (0.6%)

Counts

40 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 y (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y z) #s(literal -1 binary64)) x)))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 y z))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) z)))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y z)) (*.f64 y z))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (+.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y))) (+.f64 (/.f64 z (.f64 y y)) (*.f64 z #s(literal -1/6 binary64)))))
(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))) y) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(cos.f64 y)

Outputs
x
(cos.f64 y)
(+.f64 x #s(literal 1 binary64))

Calls

3 calls:

28.0ms	x
11.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
73.8%	3	`x`
70.5%	3	`z`
73.0%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.3%)

Counts

39 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (.f64 y y) z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))))
(.f64 y (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y z) #s(literal -1 binary64)) x)))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 y z))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z)))))
(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) z)))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y z)) (*.f64 y z))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (.f64 y (.f64 #s(literal 1/6 binary64) z))) z)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 1/6 binary64) z) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (+.f64 (.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y)) (*.f64 y #s(literal -1/2 binary64))) z)))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (.f64 y (.f64 y y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y))) (+.f64 (/.f64 z (.f64 y y)) (*.f64 z #s(literal -1/6 binary64)))))
(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))))) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))) y) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))))))

Outputs

(+.f64 x #s(literal 1 binary64))

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

(+.f64 x #s(literal 1 binary64))

Calls

2 calls:

12.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
72.5%	3	`y`
71.2%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
72.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
72.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
70.9%	3	`x`
65.0%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes27.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 x #s(literal 1 binary64))

Calls

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
65.0%	1	`y`
65.0%	1	`z`
65.0%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
x
#s(literal 1 binary64)
x

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
64.3%	3	`x`
45.2%	1	`y`
45.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
22.0%	1	`z`
22.0%	1	`y`
22.0%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.7949730569316952	244.41386970095263
17.0ms	-12333.71895215543	-0.3056598383404769

Results

24.0ms	246×	0	valid
3.0ms	6×	1	valid
2.0ms	1×	3	valid
1.0ms	3×	2	valid

Compiler

Compiled 354 to 253 computations (28.5% saved)

Precisions

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

ival-sin: 7.0ms (34.3% of total)

ival-cos: 6.0ms (29.4% of total)

ival-sub: 3.0ms (14.7% of total)

ival-mult: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

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

const: 0.0ms (0% of total)

bsearch53.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3406785080093317e+33	6.418236389514159e+40
33.0ms	-109.37755833908228	-3.2082440089915576e-7

Results

41.0ms

288×

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions

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

ival-sin: 21.0ms (64.7% of total)

ival-cos: 6.0ms (18.5% of total)

ival-add: 2.0ms (6.2% of total)

ival-mult: 2.0ms (6.2% of total)

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

const: 0.0ms (0% of total)

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

bsearch78.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	197714745086519740.0	4.391652358202319e+24
49.0ms	-976136.0602578002	-2.5143851904668184e-5

Results

65.0ms

304×

valid

Compiler

Compiled 569 to 412 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 33.0ms (59.6% of total)

ival-cos: 12.0ms (21.7% of total)

ival-sin: 7.0ms (12.6% of total)

ival-sub: 2.0ms (3.6% of total)

ival-add: 2.0ms (3.6% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.5771899595057666e-20	1.4123546306024268e-15
17.0ms	-2909958835086.427	-45593097885.48431

Results

25.0ms

240×

valid

Compiler

Compiled 199 to 164 computations (17.6% saved)

Precisions

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

ival-cos: 8.0ms (45.7% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch74.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	197714745086519740.0	4.391652358202319e+24
42.0ms	-976136.0602578002	-2.5143851904668184e-5

Results

60.0ms

304×

valid

Compiler

Compiled 550 to 412 computations (25.1% saved)

Precisions

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

ival-mult: 19.0ms (37.8% of total)

ival-cos: 10.0ms (19.9% of total)

ival-sin: 10.0ms (19.9% of total)

ival-add: 9.0ms (17.9% of total)

ival-sub: 2.0ms (4% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.3240068155523908e-8	18.08072768978465
24.0ms	-976136.0602578002	-2.5143851904668184e-5

Results

33.0ms

304×

valid

Compiler

Compiled 436 to 336 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 10.0ms (41.4% of total)

ival-cos: 8.0ms (33.1% of total)

ival-add: 2.0ms (8.3% of total)

ival-mult: 2.0ms (8.3% of total)

ival-sub: 1.0ms (4.1% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.075223213327076e-23	2.0101672750199884e-22
18.0ms	-2.1957980990534405e+147	-4.256494318255402e+146

Results

23.0ms	207×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 252 to 195 computations (22.6% saved)

Precisions

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

ival-sin: 7.0ms (42.2% of total)

ival-cos: 4.0ms (24.1% of total)

ival-add: 2.0ms (12.1% of total)

ival-mult: 2.0ms (12.1% of total)

ival-sub: 1.0ms (6% of total)

const: 0.0ms (0% of total)

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

bsearch67.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	4.5771899595057666e-20	1.4123546306024268e-15
15.0ms	-2909958835086.427	-45593097885.48431

Results

56.0ms

240×

valid

Compiler

Compiled 244 to 194 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 5.0ms (33.9% of total)

ival-sin: 5.0ms (33.9% of total)

ival-add: 2.0ms (13.5% of total)

ival-mult: 2.0ms (13.5% of total)

ival-sub: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.7949730569316952	244.41386970095263
14.0ms	-2909958835086.427	-45593097885.48431

Results

31.0ms	231×	0	valid
3.0ms	1×	3	valid
1.0ms	6×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 168 to 148 computations (11.9% saved)

Precisions

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

ival-sin: 7.0ms (37.7% of total)

ival-cos: 6.0ms (32.4% of total)

ival-mult: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

ival-sub: 1.0ms (5.4% of total)

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

const: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary64`
24×	`*-commutative_binary64`
22×	`sub-neg_binary64`
16×	`cancel-sign-sub-inv_binary64`
14×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	197
1	131	197
2	156	197
3	166	197
4	172	197
5	173	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 7385903388887613/9007199254740992 binary64)) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -100 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 199999999999999995497619646912068059136 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -1/8 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 200000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x #s(literal -46000000000 binary64)) x (if (<=.f64 x #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -61 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 200000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -5291729562160333/1125899906842624 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5404319552844595/1125899906842624 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -439999999999999961926270590692226314637561265740655352350675775938114403515096391174125269816628246217360119596447034369002909970189128885264711680 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -46000000000 binary64)) x (if (<=.f64 x #s(literal 2636713248474717/5070602400912917605986812821504 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -46000000000 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 7385903388887613/9007199254740992 binary64)) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -100 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 199999999999999995497619646912068059136 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -100 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 199999999999999995497619646912068059136 binary64)) (+.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -1/8 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 200000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -1/8 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 200000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -46000000000 binary64)) x (if (<=.f64 x #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -61 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 200000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -5291729562160333/1125899906842624 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5404319552844595/1125899906842624 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -439999999999999961926270590692226314637561265740655352350675775938114403515096391174125269816628246217360119596447034369002909970189128885264711680 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -46000000000 binary64)) x (if (<=.f64 x #s(literal 2636713248474717/5070602400912917605986812821504 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -46000000000 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.4s (15.6%)

Rules

4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
3228×	`+-lowering-+.f64`
3228×	`+-lowering-+.f32`
2550×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	629
1	306	588
2	936	579
3	2792	577
4	6411	577
0	8415	577
0	143	2505
1	457	2411
2	1467	2321
3	4914	2248
0	8349	2248
0	277	2941
1	915	2786
2	3074	2695
3	7587	2695
0	8402	2695

Stop Event

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

Compiler

Compiled 423 to 228 computations (46.1% saved)

preprocess97.0ms (1.1%)

Compiler: Compiled 462 to 166 computations (64.1% saved)

analyze0.0ms (0%)

sample1.3s (13.8%)

preprocess123.0ms (1.3%)

explain100.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (0.7%)

localize41.0ms (0.4%)

series6.0ms (0.1%)

rewrite304.0ms (3.3%)

simplify222.0ms (2.4%)

eval60.0ms (0.6%)

prune40.0ms (0.4%)

simplify257.0ms (2.8%)

localize238.0ms (2.6%)

series62.0ms (0.7%)

rewrite439.0ms (4.8%)

simplify342.0ms (3.7%)

eval301.0ms (3.3%)

prune256.0ms (2.8%)

simplify164.0ms (1.8%)

localize114.0ms (1.2%)

series27.0ms (0.3%)

rewrite349.0ms (3.8%)

simplify288.0ms (3.1%)

eval96.0ms (1%)

prune113.0ms (1.2%)

simplify229.0ms (2.5%)

localize94.0ms (1%)

series14.0ms (0.2%)

rewrite401.0ms (4.4%)

simplify326.0ms (3.5%)

eval135.0ms (1.5%)

prune161.0ms (1.7%)

regimes229.0ms (2.5%)

regimes49.0ms (0.5%)

regimes34.0ms (0.4%)

regimes92.0ms (1%)

regimes54.0ms (0.6%)

regimes26.0ms (0.3%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes27.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch41.0ms (0.4%)

bsearch53.0ms (0.6%)

bsearch78.0ms (0.9%)

bsearch37.0ms (0.4%)

bsearch74.0ms (0.8%)

bsearch48.0ms (0.5%)

bsearch32.0ms (0.3%)

bsearch67.0ms (0.7%)

bsearch46.0ms (0.5%)

simplify14.0ms (0.1%)

soundness1.4s (15.6%)

preprocess97.0ms (1.1%)

end0.0ms (0%)

Profiling