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 (14.8%)

Results

982.0ms	8250×	0	valid
8.0ms	5×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 688.0ms

ival-cos: 237.0ms (34.5% of total)

ival-sin: 226.0ms (32.9% of total)

ival-mult: 79.0ms (11.5% of total)

ival-add: 72.0ms (10.5% of total)

ival-sub: 62.0ms (9% of total)

const: 8.0ms (1.2% of total)

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

Bogosity

preprocess155.0ms (1.8%)

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)))

explain125.0ms (1.5%)

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

90.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-cos: 15.0ms (34.2% of total)

ival-mult: 11.0ms (25.1% of total)

ival-sin: 11.0ms (25.1% of total)

ival-sub: 3.0ms (6.8% of total)

ival-add: 3.0ms (6.8% of total)

const: 1.0ms (2.3% 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)

simplify56.0ms (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)

localize53.0ms (0.6%)

Localize:

Found 4 expressions of interest:

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

Results

43.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-cos: 6.0ms (37.3% of total)

ival-sin: 5.0ms (31.1% of total)

ival-add: 2.0ms (12.4% of total)

ival-mult: 2.0ms (12.4% of total)

ival-sub: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

backward-pass: 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)))

rewrite343.0ms (4.1%)

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	414	18
3	6347	18
0	8306	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 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(+.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (+.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 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (/.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 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (/.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 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (/.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 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (/.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 z (-.f64 #s(literal 0 binary64) (sin.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 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 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) (/.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 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(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 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(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 x) (.f64 (.f64 x 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 x x) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (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 x) (.f64 (.f64 x 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 x) (.f64 (.f64 x 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 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (+.f64 (+.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x 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 x) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x 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 (.f64 x 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)

simplify205.0ms (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	570
2	937	562
3	2781	561
4	6397	561
0	8401	561

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

eval49.0ms (0.6%)

Compiler: Compiled 6747 to 582 computations (91.4% saved)

prune57.0ms (0.7%)

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
	61.2%	(/.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))))
▶	79.0%	(-.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 x (cos.f64 y))) (.f64 z (sin.f64 y)))
	62.3%	(-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (*.f64 z (sin.f64 y)))
▶	86.5%	(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
	62.3%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	61.9%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	56.2%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
	76.2%	(+.f64 (cos.f64 y) x)
	65.1%	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
	55.7%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
	63.8%	(+.f64 x #s(literal 1 binary64))
	61.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.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))))))))
	69.0%	(.f64 (-.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 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
▶	39.2%	x

Compiler

Compiled 454 to 300 computations (33.9% saved)

simplify167.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2026×	`fnmadd-define`
1344×	`fmsub-define`
1326×	`fnmsub-define`
1308×	`+-lowering-+.f64`
1308×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	151
1	68	148
2	152	145
3	416	145
4	1004	145
5	3324	145
6	7182	145
0	8001	145

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize146.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))
✓	accuracy	99.7%	(-.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
✓	accuracy	79.1%	(/.f64 (-.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (-.f64 x (cos.f64 y)))
✓	accuracy	100.0%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(*.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 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))

Results

86.0ms

256×

valid

Compiler

Compiled 164 to 27 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 11.0ms (23.4% of total)

ival-cos: 10.0ms (21.3% of total)

ival-sin: 10.0ms (21.3% of total)

ival-sub: 8.0ms (17% of total)

ival-add: 5.0ms (10.6% of total)

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

const: 1.0ms (2.1% of total)

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

series65.0ms (0.8%)

Counts

13 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
18.0ms	y	@	inf	(- (/ (- (- (* x x) 1/2) (* 1/2 (cos (* y 2)))) (- x (cos y))) (* z (sin y)))
4.0ms	z	@	0	(- (/ (- (- (* x x) 1/2) (* 1/2 (cos (* y 2)))) (- x (cos y))) (* z (sin y)))
2.0ms	y	@	-inf	(- (/ (- (- (* x x) 1/2) (* 1/2 (cos (* y 2)))) (- x (cos y))) (* z (sin y)))
2.0ms	x	@	0	(- (/ (- (- (* x x) 1/2) (* 1/2 (cos (* y 2)))) (- x (cos y))) (* z (sin y)))
1.0ms	y	@	0	(/ (- (- (* x x) 1/2) (* 1/2 (cos (* y 2)))) (- x (cos y)))

rewrite380.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3054×	`-lowering-.f32`
3054×	`-lowering-.f64`
2538×	`/-lowering-/.f32`
2538×	`/-lowering-/.f64`
2144×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	97
1	176	68
2	1708	65
0	8293	65

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 459

Calls

Call 1

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

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

simplify320.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4284×	`-lowering-.f32`
4284×	`-lowering-.f64`
2572×	`+-lowering-+.f64`
2572×	`+-lowering-+.f32`
2004×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	4033
1	1592	3592
2	5394	3313
0	8707	3313

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(- 1 (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
x
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ 1 z) (/ x z)) (sin y)))
(* z (- (+ (/ 1 z) (/ x z)) (sin y)))
(* z (- (+ (/ 1 z) (/ x z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))
(+ 1 (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin y)))
(- (+ 1 x) (* z (sin 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)))
(* 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))
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 (* 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)))))
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(.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) x))) x)
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) x))) (* -1 (/ (pow (cos y) 2) x))) x)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 y) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (/ (+ (* -1 (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (* -1 (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) x))) x))) x)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)) x)) (neg.f64 x))) (neg.f64 x))
(/ (- (pow x 2) 1) (- x 1))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(- (+ (* (pow y 2) (- (/ 1 (- x 1)) (* 1/2 (/ (- (pow x 2) 1) (pow (- x 1) 2))))) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))))))
(- (+ (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/24 (/ (- (pow x 2) 1) (pow (- x 1) 2))) (+ (* 1/3 (/ 1 (- x 1))) (* 1/2 (/ (- (/ 1 (- x 1)) (* 1/2 (/ (- (pow x 2) 1) (pow (- x 1) 2)))) (- x 1))))))) (/ 1 (- x 1))) (* 1/2 (/ (- (pow x 2) 1) (pow (- x 1) 2))))) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (.f64 y (.f64 y (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/24 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))))))
(- (+ (* (pow y 2) (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 2/45 (/ 1 (- x 1))) (+ (* -1/2 (/ (+ (* -1/24 (/ (- (pow x 2) 1) (pow (- x 1) 2))) (+ (* 1/3 (/ 1 (- x 1))) (* 1/2 (/ (- (/ 1 (- x 1)) (* 1/2 (/ (- (pow x 2) 1) (pow (- x 1) 2)))) (- x 1))))) (- x 1))) (+ (* -1/24 (/ (- (/ 1 (- x 1)) (* 1/2 (/ (- (pow x 2) 1) (pow (- x 1) 2)))) (- x 1))) (* 1/720 (/ (- (pow x 2) 1) (pow (- x 1) 2))))))) (+ (* -1/24 (/ (- (pow x 2) 1) (pow (- x 1) 2))) (+ (* 1/3 (/ 1 (- x 1))) (* 1/2 (/ (- (/ 1 (- x 1)) (* 1/2 (/ (- (pow x 2) 1) (pow (- x 1) 2)))) (- x 1))))))) (/ 1 (- x 1))) (* 1/2 (/ (- (pow x 2) 1) (pow (- x 1) 2))))) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (.f64 y (.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))))) (.f64 y (.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 (/.f64 #s(literal 2/45 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/24 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/24 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))))))
(/ (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- x (cos y)))
(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
(/ (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- x (cos y)))
(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
(/ (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- x (cos y)))
(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
(/ (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- x (cos y)))
(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
(/ (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- x (cos y)))
(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
(/ (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- x (cos y)))
(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
(/ (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- x (cos y)))
(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
(/ (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- x (cos y)))
(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
(* -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x x))))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (+ (pow x 2) (pow y 2)) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 y y) (.f64 x x)))
(- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2)) 1)
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/3 binary64))))))
(- (+ (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) (pow x 2)) 1)
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 y y) #s(literal 2/45 binary64)))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
-1/2
#s(literal -1/2 binary64)
(- (pow x 2) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x x))
(- (pow x 2) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x x))
(- (pow x 2) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -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))

eval111.0ms (1.3%)

Compiler: Compiled 24628 to 2065 computations (91.6% saved)

prune96.0ms (1.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	875	10	885
Fresh	4	5	9
Picked	3	2	5
Done	0	0	0
Total	882	17	899

Accuracy

100.0%

Counts

899 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.8%	(/.f64 (-.f64 (.f64 x x) (.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 x (.f64 z (sin.f64 y))))
	55.6%	(/.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 x (cos.f64 y)))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) (-.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)))))))))
▶	62.3%	(-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))) (*.f64 z (sin.f64 y)))
▶	65.1%	(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z y))
	62.3%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	61.9%	(-.f64 x (*.f64 z (sin.f64 y)))
	41.4%	(-.f64 x (*.f64 z y))
	32.6%	(-.f64 x (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) z)))
	49.2%	(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
▶	76.2%	(+.f64 (cos.f64 y) x)
▶	55.7%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
▶	63.8%	(+.f64 x #s(literal 1 binary64))
	31.8%	(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
	2.8%	(.f64 (.f64 y y) #s(literal -1/2 binary64))
	55.7%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
✓	39.2%	x

Compiler

Compiled 445 to 307 computations (31% saved)

simplify204.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2078×	`fma-lowering-fma.f32`
2078×	`fma-lowering-fma.f64`
1808×	`fmsub-define`
1606×	`fma-define`
1436×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	156
1	69	145
2	190	143
3	461	143
4	1271	143
5	2716	143
6	4196	143
7	7706	143
0	8042	143

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

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

localize129.0ms (1.5%)

Localize:

Found 14 expressions of interest:

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

Results

87.0ms

256×

valid

Compiler

Compiled 169 to 27 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 14.0ms (29.7% of total)

ival-add: 10.0ms (21.2% of total)

ival-sin: 7.0ms (14.8% of total)

ival-cos: 6.0ms (12.7% of total)

ival-sub: 5.0ms (10.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (8.5% of total)

const: 1.0ms (2.1% of total)

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

series19.0ms (0.2%)

Counts

17 → 384

Calls

Call 1

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

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

Calls

96 calls:

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

rewrite405.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2880×	`-lowering-.f32`
2880×	`-lowering-.f64`
2428×	`fma-lowering-fma.f32`
2428×	`fma-lowering-fma.f64`
2118×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	122
1	184	112
2	1901	110
0	8294	110

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 443

Calls

Call 1

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

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

simplify512.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

4990×	`-lowering-.f32`
4990×	`-lowering-.f64`
3200×	`+-lowering-+.f64`
3200×	`+-lowering-+.f32`
1390×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	3541
1	1016	3126
2	3499	3047
0	8298	3047

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

Outputs
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(+.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))))
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(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))) y) y))))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(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 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64))))
(* x (+ 1 (/ (cos y) x)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64))))
(* x (+ 1 (/ (cos y) x)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64))))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
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(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)))
(+.f64 #s(literal 1 binary64) x)
(- 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 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
x
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)) #s(literal 1 binary64)))
(+ 1 x)
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(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(* -1 (* y z))
(*.f64 y (-.f64 #s(literal 0 binary64) z))
(* z (- (+ (/ 1 z) (/ x z)) y))
(+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 x z) y)))
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(* z (- (+ (/ 1 z) (/ x z)) y))
(+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 x z) y)))
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(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y))
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(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y))
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(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y))
(+ 1 x)
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(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
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(* y (- (+ (/ 1 y) (/ x y)) z))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z)))
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(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 x y) z)))
(* -1 (* y z))
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(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
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(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
(* y z)
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(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
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(* y z)
(*.f64 y z)
(* y z)
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(* y z)
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(* y z)
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(* y z)
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(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(+.f64 #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)))
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(+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
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(+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z) (/.f64 y x)))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z) (/.f64 y x)))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z) (/.f64 y x)))))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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))) x)) (-.f64 #s(literal 0 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 (* y (+ (* -1 z) (* -1/2 y)))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) y) z)))
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(* 1/6 (* (pow y 3) z))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 x (.f64 y (.f64 y y)))) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(* 1/6 (* (pow y 3) z))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
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eval171.0ms (2%)

Compiler: Compiled 25794 to 1790 computations (93.1% saved)

prune104.0ms (1.2%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	848	15	863
Fresh	2	8	10
Picked	3	2	5
Done	0	2	2
Total	853	27	880

Accuracy

100.0%

Counts

880 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(/.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))
	24.8%	(/.f64 (-.f64 (.f64 x x) (.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 x (.f64 z (sin.f64 y))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) (-.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)))))))))
	43.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y (.f64 z (*.f64 y z))))))
	62.3%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	61.9%	(-.f64 x (*.f64 z (sin.f64 y)))
	41.4%	(-.f64 x (*.f64 z y))
	49.2%	(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
	32.7%	(-.f64 #s(literal 1 binary64) (*.f64 z y))
	48.5%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))) y) y)))) x)
	48.5%	(+.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)
✓	76.2%	(+.f64 (cos.f64 y) x)
	30.7%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
	49.3%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))))
✓	63.8%	(+.f64 x #s(literal 1 binary64))
▶	31.9%	(+.f64 #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)))
	31.8%	(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
	43.4%	(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
	2.8%	(.f64 (.f64 y y) #s(literal -1/2 binary64))
▶	55.6%	(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y))
	2.8%	(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
	9.2%	(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
	55.7%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
▶	64.2%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
▶	39.0%	(cos.f64 y)
✓	39.2%	x
▶	26.9%	#s(literal 1 binary64)

Compiler

Compiled 728 to 491 computations (32.6% saved)

simplify163.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2158×	`fnmadd-define`
1522×	`-lowering-.f32`
1522×	`-lowering-.f64`
1452×	`sum4-define`
1272×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	62	132
2	145	125
3	377	119
4	1032	119
5	2910	119
6	6271	119
0	8117	119

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize104.0ms (1.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(.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	99.7%	(.f64 y (.f64 z #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 z #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) z)
✓	accuracy	100.0%	(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y)
✓	accuracy	90.4%	(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	97.3%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x)
✓	accuracy	92.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))

Results

71.0ms

256×

valid

Compiler

Compiled 143 to 24 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 16.0ms (40.9% of total)

ival-cos: 6.0ms (15.4% of total)

ival-add: 5.0ms (12.8% of total)

ival-div: 4.0ms (10.2% of total)

ival-sub: 4.0ms (10.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (10.2% of total)

const: 1.0ms (2.6% of total)

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

series28.0ms (0.3%)

Counts

16 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* x (+ 1 (/ (- 1 (* y z)) x)))
4.0ms	z	@	0	(* z (- (/ (+ 1 x) z) y))
1.0ms	y	@	0	(* x (+ 1 (/ (- 1 (* y z)) x)))
1.0ms	x	@	0	(* x (+ 1 (/ (- 1 (* y z)) x)))
1.0ms	z	@	inf	(* z (- (/ (+ 1 x) z) y))

rewrite354.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4110×	`-lowering-.f32`
4110×	`-lowering-.f64`
3682×	`/-lowering-/.f32`
3682×	`/-lowering-/.f64`
2272×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	114
1	154	109
2	1471	102
0	8922	102

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 402

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64))) (-.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)))))
(fma.f64 x #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) x x)
(fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.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)))) #s(literal 1 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64))) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)))) (-.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.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 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.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 x (.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.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)))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64))) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64))))) (neg.f64 (-.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.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 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.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 x (.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x))))
(/.f64 (+.f64 (.f64 (.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)))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) x))
(-.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
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(.f64 (.f64 y #s(literal 1/6 binary64)) z)

simplify262.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3618×	`-lowering-.f32`
3618×	`-lowering-.f64`
2248×	`+-lowering-+.f64`
2248×	`+-lowering-+.f32`
2042×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	3012
1	896	2686
2	2917	2625
3	7288	2625
0	8598	2625

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

eval118.0ms (1.4%)

Compiler: Compiled 16741 to 1769 computations (89.4% saved)

prune90.0ms (1.1%)

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	797	13	810
Fresh	6	12	18
Picked	2	3	5
Done	0	4	4
Total	805	32	837

Accuracy

100.0%

Counts

837 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(/.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))
	24.8%	(/.f64 (-.f64 (.f64 x x) (.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 x (.f64 z (sin.f64 y))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) (-.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)))))))))
	62.3%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	61.9%	(-.f64 x (*.f64 z (sin.f64 y)))
	41.4%	(-.f64 x (*.f64 z y))
	49.2%	(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
	32.7%	(-.f64 #s(literal 1 binary64) (*.f64 z y))
	48.5%	(+.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)
✓	76.2%	(+.f64 (cos.f64 y) x)
✓	63.8%	(+.f64 x #s(literal 1 binary64))
	17.4%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z y)) y))))
	25.3%	(+.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))))))))
✓	31.9%	(+.f64 #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)))
	31.8%	(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
	25.2%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))
	25.4%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64)))))
	25.4%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
	2.8%	(.f64 (.f64 y y) #s(literal -1/2 binary64))
	32.6%	(.f64 z (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) (/.f64 z (+.f64 x #s(literal 1 binary64)))) (.f64 y y)) (+.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) z))))
	54.3%	(*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) z))
	29.8%	(*.f64 z (/.f64 x z))
	54.2%	(.f64 z (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
	9.2%	(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
	2.8%	(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
	48.1%	(.f64 x (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) #s(literal 1 binary64))))
	55.7%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
	57.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y z)) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 z (*.f64 y z)))))) x)))
	63.7%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	39.0%	(cos.f64 y)
✓	39.2%	x
✓	26.9%	#s(literal 1 binary64)

Compiler

Compiled 1149 to 505 computations (56% saved)

regimes66.0ms (0.8%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	z
15.0ms	x
14.0ms	y
14.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 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)

regimes45.0ms (0.5%)

Counts

44 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	z
12.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
99.5%	3	`x`
89.7%	2	`y`
98.8%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0.4%)

Counts

43 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	z
12.0ms	x

Results

Accuracy	Segments	Branch
98.8%	3	`z`
86.5%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.2%)

Counts

40 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
93.0%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.6%)

Counts

39 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	z
17.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
82.0%	3	`x`
84.8%	4	`y`
87.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.4%)

Counts

38 → 3

Calls

Call 1

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

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

2 calls:

17.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
82.9%	3	`y`
79.3%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes44.0ms (0.5%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
11.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
66.9%	2	`z`
75.8%	3	`x`
73.1%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes52.0ms (0.6%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

39.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
70.5%	3	`y`
69.3%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Counts

27 → 3

Calls

Call 1

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

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:

8.0ms

Results

Accuracy	Segments	Branch
70.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
66.1%	2	`z`
68.3%	3	`x`
63.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
63.8%	1	`z`
63.8%	1	`x`

Compiler

Compiled 8 to 6 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
43.4%	3	`z`
43.4%	3	`y`
62.9%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

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:

3.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
26.9%	1	`y`
26.9%	1	`z`
26.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.5257215191385353e-29	6.648158605405444e-28
21.0ms	-9.048556791952452e-7	-1.9174394113398567e-16

Results

30.0ms

272×

valid

Compiler

Compiled 409 to 302 computations (26.2% saved)

Precisions

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

ival-cos: 7.0ms (39.4% of total)

ival-sin: 6.0ms (33.8% of total)

ival-add: 2.0ms (11.3% of total)

ival-mult: 2.0ms (11.3% of total)

ival-sub: 1.0ms (5.6% 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
17.0ms	0.0008678185322959025	6.677683361713486
18.0ms	-11029.10028291444	-0.24758110359613392

Results

26.0ms

256×

valid

Compiler

Compiled 338 to 253 computations (25.1% saved)

Precisions

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

ival-sin: 6.0ms (33% of total)

ival-cos: 5.0ms (27.5% of total)

ival-add: 3.0ms (16.5% of total)

ival-mult: 2.0ms (11% of total)

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

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	6.470923400757256e+89	1.716604101628438e+101
23.0ms	-2.559934082129579e+39	-5.339372347843277e+27

Results

35.0ms

320×

valid

Compiler

Compiled 378 to 273 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 9.0ms (36.3% of total)

ival-sin: 9.0ms (36.3% of total)

ival-sub: 2.0ms (8.1% of total)

ival-add: 2.0ms (8.1% of total)

ival-mult: 2.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.716604101628438e+101	6.994750098996564e+104
20.0ms	-3.2270905089939996e+129	-3.1276623239971716e+121

Results

28.0ms

272×

valid

Compiler

Compiled 324 to 251 computations (22.5% saved)

Precisions

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

ival-cos: 8.0ms (41.2% of total)

ival-sin: 6.0ms (30.9% of total)

ival-add: 2.0ms (10.3% of total)

ival-mult: 2.0ms (10.3% of total)

ival-sub: 1.0ms (5.1% of total)

const: 0.0ms (0% of total)

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

bsearch77.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	1141527062736.3047	134928683773390.36
24.0ms	-14615631272819.586	-57044976.13254643

Results

65.0ms

256×

valid

Compiler

Compiled 482 to 349 computations (27.6% saved)

Precisions

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

ival-cos: 41.0ms (74.7% of total)

ival-sin: 8.0ms (14.6% of total)

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

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

ival-sub: 1.0ms (1.8% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.5257215191385353e-29	6.648158605405444e-28
21.0ms	-9.048556791952452e-7	-1.9174394113398567e-16

Results

30.0ms

272×

valid

Compiler

Compiled 239 to 200 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 10.0ms (45.6% of total)

ival-cos: 7.0ms (31.9% of total)

ival-add: 2.0ms (9.1% of total)

ival-mult: 2.0ms (9.1% of total)

ival-sub: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00023825853783933053	14.817939057013447
24.0ms	-14615631272819.586	-57044976.13254643

Results

32.0ms

272×

valid

Compiler

Compiled 494 to 370 computations (25.1% saved)

Precisions

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

ival-cos: 9.0ms (39.4% of total)

ival-sin: 8.0ms (35% of total)

ival-add: 2.0ms (8.7% of total)

ival-mult: 2.0ms (8.7% of total)

ival-sub: 1.0ms (4.4% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00023825853783933053	14.817939057013447
5.0ms	-2.088457132517576e+111	-1.901355840775017e+111

Results

19.0ms

160×

valid

Compiler

Compiled 198 to 153 computations (22.7% saved)

Precisions

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

ival-cos: 6.0ms (42.5% of total)

ival-sin: 5.0ms (35.4% of total)

ival-sub: 1.0ms (7.1% of total)

ival-add: 1.0ms (7.1% of total)

ival-mult: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

backward-pass: 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
22.0ms	8.753926038338215e-17	0.00010019232081706529
29.0ms	-2.9225189274031272e-64	-1.3718900176452621e-81

Results

40.0ms

320×

valid

Compiler

Compiled 338 to 273 computations (19.2% saved)

Precisions

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

ival-mult: 10.0ms (34.6% of total)

ival-cos: 8.0ms (27.7% of total)

ival-sin: 7.0ms (24.2% of total)

ival-sub: 2.0ms (6.9% of total)

ival-add: 2.0ms (6.9% 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
23.0ms	0.00010019232081706529	71549607.77856186
12.0ms	-0.33803316414323725	-0.024884208085052643

Results

25.0ms	251×	0	valid
1.0ms	1×	3	valid
1.0ms	2×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 178 to 157 computations (11.8% saved)

Precisions

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

ival-cos: 6.0ms (34.6% of total)

ival-sin: 5.0ms (28.9% of total)

ival-mult: 2.0ms (11.5% of total)

ival-add: 2.0ms (11.5% of total)

ival-sub: 1.0ms (5.8% of total)

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

const: 0.0ms (0% of total)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary64`
26×	`sub-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
20×	`*-commutative_binary64`
20×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	216
1	155	216
2	181	216
3	191	216
4	197	216
5	198	216

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -7350268983256945/38685626227668133590597632 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 3679622957757553/5575186299632655785383929568162090376495104 binary64)) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5/4 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -19999999999999998911504619740856320 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 950000000000000030352923759889833448665998814139850984958124037465508093546048554652401664 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -31999999999999999360110987116614437813401766172704272582036745978584717268077719214873261917759758072152834405794465185792 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 92000000000000003359110820910224033526314259848051041668977288446168289445736417664654506230166193176576 binary64)) (+.f64 (cos.f64 y) x) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -58000000 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 1200000000000 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.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 -5681951352188757/604462909807314587353088 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3679622957757553/5575186299632655785383929568162090376495104 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -68000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 11/2 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.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 -1949999999999999895773678189443008706436625235314286575100667723371001366607652328566878786153987871521990770688 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3602879701896397/1125899906842624 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1153789908470705/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5942112188569825/9903520314283042199192993792 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z y)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 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 -7350268983256945/38685626227668133590597632 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 3679622957757553/5575186299632655785383929568162090376495104 binary64)) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5/4 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5/4 binary64)) (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -19999999999999998911504619740856320 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 950000000000000030352923759889833448665998814139850984958124037465508093546048554652401664 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -19999999999999998911504619740856320 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 950000000000000030352923759889833448665998814139850984958124037465508093546048554652401664 binary64)) (+.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -31999999999999999360110987116614437813401766172704272582036745978584717268077719214873261917759758072152834405794465185792 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 92000000000000003359110820910224033526314259848051041668977288446168289445736417664654506230166193176576 binary64)) (+.f64 (cos.f64 y) x) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -31999999999999999360110987116614437813401766172704272582036745978584717268077719214873261917759758072152834405794465185792 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 92000000000000003359110820910224033526314259848051041668977288446168289445736417664654506230166193176576 binary64)) (+.f64 x (cos.f64 y)) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -58000000 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 1200000000000 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.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 -58000000 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1200000000000 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.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 -5681951352188757/604462909807314587353088 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3679622957757553/5575186299632655785383929568162090376495104 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -68000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 11/2 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.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 -1949999999999999895773678189443008706436625235314286575100667723371001366607652328566878786153987871521990770688 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3602879701896397/1125899906842624 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1153789908470705/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5942112188569825/9903520314283042199192993792 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z y)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1153789908470705/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5942112188569825/9903520314283042199192993792 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 -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.2s (14.7%)

Rules

4990×	`-lowering-.f32`
4990×	`-lowering-.f64`
4284×	`-lowering-.f32`
4284×	`-lowering-.f64`
3200×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	629
1	306	570
2	937	562
3	2781	561
4	6397	561
0	8401	561
0	479	4033
1	1592	3592
2	5394	3313
0	8707	3313
0	304	3541
1	1016	3126
2	3499	3047
0	8298	3047

Stop Event

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

Compiler

Compiled 488 to 258 computations (47.1% saved)

preprocess124.0ms (1.5%)

Compiler: Compiled 532 to 182 computations (65.8% saved)

analyze0.0ms (0%)

sample1.3s (14.8%)

preprocess155.0ms (1.8%)

explain125.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify56.0ms (0.7%)

localize53.0ms (0.6%)

series6.0ms (0.1%)

rewrite343.0ms (4.1%)

simplify205.0ms (2.4%)

eval49.0ms (0.6%)

prune57.0ms (0.7%)

simplify167.0ms (2%)

localize146.0ms (1.7%)

series65.0ms (0.8%)

rewrite380.0ms (4.5%)

simplify320.0ms (3.8%)

eval111.0ms (1.3%)

prune96.0ms (1.1%)

simplify204.0ms (2.4%)

localize129.0ms (1.5%)

series19.0ms (0.2%)

rewrite405.0ms (4.8%)

simplify512.0ms (6.1%)

eval171.0ms (2%)

prune104.0ms (1.2%)

simplify163.0ms (1.9%)

localize104.0ms (1.2%)

series28.0ms (0.3%)

rewrite354.0ms (4.2%)

simplify262.0ms (3.1%)

eval118.0ms (1.4%)

prune90.0ms (1.1%)

regimes66.0ms (0.8%)

regimes45.0ms (0.5%)

regimes33.0ms (0.4%)

regimes15.0ms (0.2%)

regimes49.0ms (0.6%)

regimes31.0ms (0.4%)

regimes44.0ms (0.5%)

regimes52.0ms (0.6%)

regimes9.0ms (0.1%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch42.0ms (0.5%)

bsearch37.0ms (0.4%)

bsearch48.0ms (0.6%)

bsearch39.0ms (0.5%)

bsearch77.0ms (0.9%)

bsearch42.0ms (0.5%)

bsearch47.0ms (0.6%)

bsearch26.0ms (0.3%)

bsearch53.0ms (0.6%)

bsearch37.0ms (0.4%)

simplify16.0ms (0.2%)

soundness1.2s (14.7%)

preprocess124.0ms (1.5%)

end0.0ms (0%)

Profiling