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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.4s (14.4%)

Results

867.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 600.0ms

ival-sin: 211.0ms (35.2% of total)

ival-cos: 184.0ms (30.7% of total)

ival-mult: 102.0ms (17% of total)

ival-add: 91.0ms (15.2% of total)

const: 8.0ms (1.3% of total)

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

Bogosity

preprocess259.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

973×	`fma-neg`
593×	`fma-define`
148×	`associate-+l-`
148×	`cancel-sign-sub-inv`
144×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	465
1	102	401
2	265	393
3	770	393
4	1568	393
5	2315	393
6	2896	393
7	3233	393
8	3477	393
9	3643	393
10	3657	393
11	3657	393
12	3712	393
13	3712	393

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 (neg.f64 y))) (*.f64 z (cos.f64 (neg.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))
(neg.f64 (+.f64 (+.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y))))
(neg.f64 (+.f64 (+.f64 x (sin.f64 (neg.f64 y))) (*.f64 z (cos.f64 (neg.f64 y)))))
(neg.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))))
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))

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

explain108.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

59.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sin: 12.0ms (34.2% of total)

ival-cos: 10.0ms (28.5% of total)

ival-mult: 7.0ms (20% of total)

ival-add: 6.0ms (17.1% of total)

const: 1.0ms (2.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize50.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

6×	`fma-define`
5×	`+-commutative`
3×	`associate-+r+`
3×	`associate-+l+`
1×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	101
1	20	97
2	30	97
3	36	97

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

32.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-mult: 6.0ms (29.9% of total)

ival-sin: 6.0ms (29.9% of total)

ival-cos: 5.0ms (24.9% of total)

ival-add: 3.0ms (15% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

4 → 25

Calls

Call 1

Inputs
#<alt (*.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (sin.f64 y)>
#<alt (+.f64 x (sin.f64 y))>

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

Calls

18 calls:

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

rewrite238.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log1p-expm1-u`
725×	`expm1-log1p-u`
603×	`unpow-prod-down`
480×	`prod-diff`
366×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	154	50
2	1943	50

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (cos.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 y))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (exp.f64 (cos.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 (cos.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (cbrt.f64 (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))
(*.f64 (+.f64 (sin.f64 y) x) #s(literal 1 binary64))
(*.f64 (+.f64 (sin.f64 y) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) (cbrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (sin.f64 y) x))
(.f64 (pow.f64 (.f64 (+.f64 (sin.f64 y) x) (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 x (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sin.f64 y) x))
(pow.f64 (+.f64 (sin.f64 y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sin.f64 y) x))))
(log.f64 (*.f64 (exp.f64 (sin.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (sin.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (sin.f64 y))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (sin.f64 y))
(fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))

simplify116.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

735×	`times-frac`
436×	`distribute-lft-in`
380×	`distribute-rgt-in`
356×	`unswap-sqr`
230×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	5143
1	942	5012
2	2718	4578

Stop Event

1×	node limit

Counts

192 → 250

Calls

Call 1

Inputs
z
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))
x
(+.f64 x y)
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (cos.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 y))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (exp.f64 (cos.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 (cos.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (cbrt.f64 (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))
(*.f64 (+.f64 (sin.f64 y) x) #s(literal 1 binary64))
(*.f64 (+.f64 (sin.f64 y) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) (cbrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (sin.f64 y) x))
(.f64 (pow.f64 (.f64 (+.f64 (sin.f64 y) x) (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 x (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sin.f64 y) x))
(pow.f64 (+.f64 (sin.f64 y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sin.f64 y) x))))
(log.f64 (*.f64 (exp.f64 (sin.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (sin.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (sin.f64 y))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (sin.f64 y))
(fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))

Outputs
z
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z)
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z))))))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 z (pow.f64 y #s(literal 2 binary64))) (.f64 z #s(literal 1/24 binary64)))))))
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(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sin.f64 y) x))))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(log.f64 (*.f64 (exp.f64 (sin.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))) (exp.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (sin.f64 y))))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (sin.f64 y) x))) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 x #s(literal 1 binary64) (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)) x)
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 (sin.f64 y) x)

eval48.0ms (0.5%)

Compiler: Compiled 4262 to 1760 computations (58.7% saved)

prune60.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	238	12	250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	239	12	251

Accuracy

100.0%

Counts

251 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) #s(literal 3 binary64)))
▶	74.5%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))
	99.8%	(+.f64 (+.f64 x (sin.f64 y)) (.f64 z (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	99.7%	(+.f64 (+.f64 x (sin.f64 y)) (.f64 z (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
	99.7%	(+.f64 (+.f64 x (sin.f64 y)) (.f64 z (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))))
▶	99.9%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	99.8%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
▶	99.9%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
	99.8%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
	83.1%	(+.f64 (+.f64 x (sin.f64 y)) z)
▶	56.1%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	85.2%	(+.f64 x (*.f64 z (cos.f64 y)))

Compiler

Compiled 354 to 250 computations (29.4% saved)

localize345.0ms (3.4%)

Algorithm

5×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 x (sin.f64 y))
✓	cost-diff	6592	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
✓	cost-diff	12864	(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
	cost-diff	0	(+.f64 x (sin.f64 y))
✓	cost-diff	6528	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
✓	cost-diff	12800	(log1p.f64 (expm1.f64 (cos.f64 y)))
✓	cost-diff	12800	(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
✓	cost-diff	-6272	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
	cost-diff	0	(cos.f64 y)
	cost-diff	0	(*.f64 z (cos.f64 y))
	cost-diff	0	(sin.f64 y)
✓	cost-diff	-6272	(+.f64 x (*.f64 z (cos.f64 y)))
	cost-diff	0	(cos.f64 y)
	cost-diff	0	(*.f64 z (cos.f64 y))
	cost-diff	0	(+.f64 x (sin.f64 y))
✓	cost-diff	6528	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (cos.f64 y)))
✓	cost-diff	12800	(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(sqrt.f64 (cos.f64 y))
✓	accuracy	99.9%	(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
✓	accuracy	99.8%	(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
✓	accuracy	99.9%	(log1p.f64 (expm1.f64 (cos.f64 y)))
✓	accuracy	99.1%	(expm1.f64 (cos.f64 y))
✓	accuracy	100.0%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
	accuracy	100.0%	(sin.f64 y)
	accuracy	100.0%	(cos.f64 y)
	accuracy	99.9%	(*.f64 z (cos.f64 y))
	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z (cos.f64 y)))
	accuracy	99.9%	(*.f64 z (cos.f64 y))
	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
✓	accuracy	99.9%	(log1p.f64 (cos.f64 y))
✓	accuracy	99.9%	(expm1.f64 (log1p.f64 (cos.f64 y)))

Rules

5094×	`associate-+r-`
722×	`sub-neg`
687×	`+-commutative`
683×	`fma-neg`
611×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	153
1	27	149
2	47	141
3	67	117
4	141	117
5	319	117
6	918	117
7	2848	117
8	5353	117
9	7561	117
0	13	63
1	15	59
2	18	59
0	12	71
1	14	67
2	17	67
0	17	121
1	28	117
2	50	117
3	76	117
4	136	117
5	297	117
6	748	117
7	1162	117
8	1315	117
9	1430	117
10	1430	117
11	1430	117
12	2920	117
13	3533	117
14	3889	117
15	3889	117
16	3889	117
17	3889	117
0	18	162
1	24	118
2	39	118
3	57	118

Stop Event

1×	saturated
1×	node limit
1×	saturated
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
z
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (cos.f64 y))
(cos.f64 y)
#s(literal 2 binary64)

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 z (cos.f64 y))
z
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(cos.f64 y)
(sqrt.f64 (cos.f64 y))
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
#s(literal 2 binary64)

Call 2

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
z
(log1p.f64 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(cos.f64 y)

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
(*.f64 z (cos.f64 y))
z
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(expm1.f64 (cos.f64 y))
(cos.f64 y)

Call 3

Inputs
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)

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

Call 4

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

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

Call 5

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
z
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(cos.f64 y)

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))))
(fma.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (+.f64 (cos.f64 y) #s(literal 0 binary64)) (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 z (+.f64 (cos.f64 y) #s(literal 0 binary64)))
(*.f64 z (cos.f64 y))
z
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
(cos.f64 y)
(log1p.f64 (cos.f64 y))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))

Results

73.0ms	191×	0	valid
24.0ms	65×	0	invalid

Compiler

Compiled 145 to 29 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 11.0ms (19.1% of total)

ival-log1p: 9.0ms (15.6% of total)

ival-pow: 8.0ms (13.9% of total)

ival-add: 7.0ms (12.1% of total)

ival-expm1: 7.0ms (12.1% of total)

ival-sin: 7.0ms (12.1% of total)

ival-cos: 6.0ms (10.4% of total)

ival-sqrt: 2.0ms (3.5% of total)

const: 1.0ms (1.7% of total)

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

series113.0ms (1.1%)

Counts

14 → 279

Calls

Call 1

Inputs
#<alt (expm1.f64 (log1p.f64 (cos.f64 y)))>
#<alt (log1p.f64 (cos.f64 y))>
#<alt (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))>
#<alt (+.f64 x (*.f64 z (cos.f64 y)))>
#<alt (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))>
#<alt (expm1.f64 (cos.f64 y))>
#<alt (log1p.f64 (expm1.f64 (cos.f64 y)))>
#<alt (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))>
#<alt (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))>
#<alt (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (cos.f64 y))>
#<alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))>
#<alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))>
#<alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/96 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt z>
#<alt (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))>
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#<alt (+.f64 x z)>
#<alt (+.f64 x (+.f64 y z))>
#<alt (+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))))>
#<alt (+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal -1/6 binary64) y)))))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (sin.f64 y))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))>
#<alt (*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))>
#<alt (*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (sin.f64 y)) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (sin.f64 y)) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (sin.f64 y)) z)))))>

Calls

78 calls:

Time	Variable		Point	Expression
65.0ms	y	@	inf	(log (+ 1 (cos y)))
23.0ms	y	@	-inf	(log (+ 1 (cos y)))
2.0ms	y	@	-inf	(* z (pow (sqrt (cos y)) 2))
1.0ms	y	@	0	(log (+ 1 (cos y)))
1.0ms	y	@	0	(- (exp (cos y)) 1)

rewrite216.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`log1p-expm1-u`
1039×	`expm1-log1p-u`
147×	`add-cube-cbrt`
143×	`add-exp-log`
143×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	284
1	434	264
2	4443	264

Stop Event

1×	node limit

Counts

14 → 369

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(sqrt.f64 (cos.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))

Outputs
(+.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 y))))
(.f64 (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) (+.f64 (cos.f64 y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))
(pow.f64 (log1p.f64 (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (cos.f64 y) z))))
(*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z x))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (cos.f64 y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x z) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) x))
(pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) z x))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))
(.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (sin.f64 y)))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (sin.f64 y)))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (exp.f64 (cos.f64 y)) #s(literal -1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(*.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (sqrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y)))

simplify383.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

659×	`cancel-sign-sub-inv`
547×	`fma-neg`
356×	`distribute-lft-neg-in`
337×	`distribute-rgt-neg-in`
279×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	21939
1	1292	21263
2	4387	21130

Stop Event

1×	node limit

Counts

648 → 355

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/96 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
z
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z))))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
x
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)) #s(literal 1 binary64))))
x
(*.f64 z (cos.f64 y))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 z (cos.f64 y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x z)
(+.f64 x (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(+.f64 x (+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))))))
(+.f64 x (+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z)))))))
z
(+.f64 y z)
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal -1/6 binary64) y))))))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) z)))))
(-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/96 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/96 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z)
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z))))))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z) (.f64 #s(literal 1/24 binary64) z))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) z)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) z)) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
x
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)) #s(literal 1 binary64))))
(neg.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 x (.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)) #s(literal 1 binary64))))
(neg.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 x (.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)) #s(literal 1 binary64))))
(neg.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 x (.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(+.f64 x z)
(+.f64 z x)
(+.f64 x (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(+.f64 (+.f64 z x) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z))
(+.f64 x (+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))))))
(+.f64 (+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))) x)
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z) x)
(+.f64 x (+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z)))))))
(+.f64 (+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z) (.f64 #s(literal 1/24 binary64) z)))))) x)
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) z) x)
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) z)) z) x)
z
(+.f64 y z)
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) z)
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) z)
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal -1/6 binary64) y))))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) z (*.f64 y #s(literal -1/6 binary64)))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) z (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)
(sin.f64 y)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
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(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))

eval590.0ms (5.9%)

Compiler: Compiled 22086 to 9282 computations (58% saved)

prune488.0ms (4.9%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1238	17	1255
Fresh	7	0	7
Picked	3	2	5
Done	0	0	0
Total	1248	19	1267

Accuracy

100.0%

Counts

1267 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	99.9%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))
✓	56.1%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
	29.5%	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal -1/6 binary64) y))))))
▶	29.7%	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
	69.0%	(+.f64 z x)
	65.3%	(+.f64 y (+.f64 z x))
	30.2%	(+.f64 y z)
	84.5%	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) #s(literal 3 binary64)))
	85.0%	(+.f64 x (.f64 z (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
▶	85.2%	(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	85.1%	(+.f64 x (*.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
	85.2%	(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
✓	85.2%	(+.f64 x (*.f64 z (cos.f64 y)))
	85.1%	(+.f64 x (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
	59.4%	(+.f64 x (sin.f64 y))
▶	73.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
	16.2%	(sin.f64 y)
▶	45.4%	x

Compiler

Compiled 391 to 281 computations (28.1% saved)

localize636.0ms (6.3%)

Algorithm

5×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(expm1.f64 (cos.f64 y))
✓	cost-diff	6528	(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	cost-diff	12800	(log1p.f64 (expm1.f64 (cos.f64 y)))
✓	cost-diff	12800	(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
✓	cost-diff	-6016	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(/.f64 (cos.f64 y) x)
✓	cost-diff	0	(*.f64 z (/.f64 (cos.f64 y) x))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y z)))
✓	cost-diff	-6272	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	cost-diff	12800	(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
✓	cost-diff	19328	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))
✓	cost-diff	25600	(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
✓	cost-diff	25600	(*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))))
✓	accuracy	100.0%	(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
✓	accuracy	99.8%	(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
	accuracy	99.7%	(log1p.f64 (expm1.f64 (cos.f64 y)))
	accuracy	99.0%	(expm1.f64 (cos.f64 y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (cos.f64 y) x)))
✓	accuracy	99.8%	(/.f64 (cos.f64 y) x)
✓	accuracy	99.7%	(*.f64 z (/.f64 (cos.f64 y) x))
✓	accuracy	88.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y z)))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
✓	accuracy	99.8%	(expm1.f64 (expm1.f64 (cos.f64 y)))
✓	accuracy	99.8%	(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
✓	accuracy	99.7%	(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
	accuracy	99.0%	(expm1.f64 (cos.f64 y))

Rules

4551×	`associate-+r-`
1465×	`fma-neg`
987×	`fma-define`
910×	`cube-prod`
766×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	181
1	34	145
2	66	145
3	101	145
4	195	145
5	506	145
6	1868	145
7	3507	145
8	5331	145
9	7574	145
0	4	4
0	14	144
1	33	128
2	69	128
3	144	128
4	188	128
5	204	128
6	212	128
7	213	128
0	16	137
1	32	129
2	56	129
3	134	118
4	247	114
5	378	114
6	723	114
7	1728	114
8	2370	114
9	2985	114
10	3539	114
11	4396	114
12	5101	114
13	6495	114
14	7258	114
15	7813	114
0	15	83
1	23	79
2	38	79
3	58	79
4	118	79
5	276	79
6	749	79
7	1162	79
8	1315	79
9	1430	79
10	1430	79
11	1430	79
12	2936	79
13	3549	79
14	3905	79
15	3905	79
16	3905	79
17	3905	79

Stop Event

1×	node limit
1×	node limit
1×	saturated
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
x
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
z
(log1p.f64 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(cos.f64 y)
y

Outputs
(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
(+.f64 x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) x)
x
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
(*.f64 z (cos.f64 y))
z
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(expm1.f64 (cos.f64 y))
(cos.f64 y)
y

Call 2

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

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

Call 3

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

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

Call 4

Inputs
x

Outputs
x

Call 5

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))))
z
(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(cos.f64 y)

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))))
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
(*.f64 z (cos.f64 y))
z
(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(expm1.f64 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))

Results

227.0ms

256×

valid

Compiler

Compiled 154 to 44 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-expm1: 88.0ms (56.3% of total)

ival-mult: 20.0ms (12.8% of total)

ival-add: 17.0ms (10.9% of total)

ival-log1p: 15.0ms (9.6% of total)

ival-sin: 7.0ms (4.5% of total)

ival-cos: 6.0ms (3.8% of total)

ival-div: 2.0ms (1.3% of total)

const: 2.0ms (1.3% of total)

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

series38.0ms (0.4%)

Counts

15 → 307

Calls

Call 1

Inputs
#<alt (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))>
#<alt (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))>
#<alt (expm1.f64 (expm1.f64 (cos.f64 y)))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (*.f64 y z)>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))>
#<alt (*.f64 z (/.f64 (cos.f64 y) x))>
#<alt (/.f64 (cos.f64 y) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (cos.f64 y) x)))>
#<alt (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))>
#<alt (+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))>
#<alt (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))))>
#<alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64)))))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))))))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))) #s(literal 1 binary64))>
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#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt z>
#<alt (+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))>
#<alt (+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))))>
#<alt (+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z))))))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (.f64 z (cos.f64 y)) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (.f64 z (cos.f64 y)) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (.f64 z (cos.f64 y)) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) x)) #s(literal 1 binary64))))>
#<alt (+.f64 x z)>
#<alt (+.f64 x (+.f64 y z))>
#<alt (+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))))>
#<alt (+.f64 x (+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal -1/6 binary64) y)))))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (sin.f64 y))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))>
#<alt (*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))>
#<alt (*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (sin.f64 y)) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (sin.f64 y)) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (sin.f64 y)) z)))))>

Calls

96 calls:

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

rewrite267.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`log1p-expm1-u`
219×	`expm1-log1p-u`
211×	`add-cube-cbrt`
210×	`add-exp-log`
210×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	342
1	497	318
2	6877	318

Stop Event

1×	node limit

Counts

15 → 372

Calls

Call 1

Inputs
(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (expm1.f64 (cos.f64 y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(*.f64 y z)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(*.f64 z (/.f64 (cos.f64 y) x))
(/.f64 (cos.f64 y) x)
(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (cos.f64 y) x)))
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))
(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
(*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (cos.f64 y)) #s(literal -1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) #s(literal 1 binary64)) (+.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (cos.f64 y))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) #s(literal 1 binary64)))
(+.f64 (exp.f64 (expm1.f64 (cos.f64 y))) #s(literal -1 binary64))
(-.f64 (exp.f64 (expm1.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (expm1.f64 (expm1.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(*.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))) (sqrt.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (expm1.f64 (cos.f64 y))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (exp.f64 (expm1.f64 (cos.f64 y))) (exp.f64 (expm1.f64 (cos.f64 y)))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (expm1.f64 (cos.f64 y))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (expm1.f64 (cos.f64 y))) (exp.f64 (expm1.f64 (cos.f64 y)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (expm1.f64 (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (expm1.f64 (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (cos.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (cos.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (cos.f64 y))) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))) #s(literal 1 binary64)))
(+.f64 y (.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 y (.f64 (.f64 (.f64 y z) (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64))) y)
(-.f64 (exp.f64 (log1p.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y z) (.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y z) (.f64 y #s(literal -1/2 binary64))) (.f64 (.f64 y z) (.f64 y #s(literal -1/2 binary64)))) (.f64 y (.f64 (.f64 y z) (.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (.f64 y z) (.f64 y #s(literal -1/2 binary64))) (.f64 (.f64 y z) (.f64 y #s(literal -1/2 binary64))))) (-.f64 y (.f64 (.f64 y z) (.f64 y #s(literal -1/2 binary64)))))
(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64))) y) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(pow.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) y (.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (/.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z)))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
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(pow.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (/.f64 z x))))
(exp.f64 (.f64 (log1p.f64 (.f64 (cos.f64 y) (/.f64 z x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 1 binary64))
(fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cos.f64 y) (/.f64 z x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (/.f64 z x))) (sqrt.f64 (.f64 (cos.f64 y) (/.f64 z x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (cos.f64 y) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z x))
(*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (cos.f64 y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x z) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) x))
(pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) z x))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(*.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))) (.f64 x (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)))) (-.f64 x (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))

simplify496.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-r`
511×	`associate-l`
481×	`fma-define`
272×	`*-commutative`
248×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	944	23881
1	2262	22724

Stop Event

1×	node limit

Counts

679 → 612

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))))) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))))))) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))) #s(literal 1 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (cos.f64 y) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z x))
(*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (cos.f64 y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x z) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) x))
(pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) z x))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))
(*.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))) (.f64 x (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)))) (-.f64 x (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(expm1.f64 #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))) #s(literal 1 binary64))
(+.f64 (E.f64) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (E.f64))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (E.f64)))
(-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))))))) #s(literal 1 binary64))
(+.f64 (E.f64) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (E.f64) (.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (E.f64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(+.f64 (E.f64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (E.f64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(+.f64 (E.f64) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (E.f64) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -31/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (E.f64)) (.f64 (E.f64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))
(+.f64 (E.f64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (E.f64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -31/720 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (E.f64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(expm1.f64 (expm1.f64 #s(literal 1 binary64)))
(-.f64 (+.f64 (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))))))) #s(literal 1 binary64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))) (.f64 x (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y)))) (-.f64 x (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (fma.f64 (cos.f64 y) z (sin.f64 y)))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)))
(pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 1 binary64))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 3 binary64))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 2 binary64))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))
(log.f64 (exp.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #s(literal 3 binary64)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(exp.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (cbrt.f64 (.f64 (cos.f64 y) z)) x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))

eval407.0ms (4.1%)

Compiler: Compiled 15088 to 7635 computations (49.4% saved)

prune382.0ms (3.8%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	854	10	864
Fresh	4	8	12
Picked	2	3	5
Done	0	2	2
Total	860	23	883

Accuracy

100.0%

Counts

883 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	56.1%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
	65.3%	(+.f64 z (+.f64 y x))
	29.5%	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal -1/6 binary64) y))))))
✓	29.7%	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
	29.6%	(+.f64 z (.f64 y (.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 #s(literal 1 binary64) y)))))
▶	25.5%	(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
	30.2%	(+.f64 z y)
▶	69.0%	(+.f64 z x)
	84.5%	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)))
	85.0%	(+.f64 x (.f64 z (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	85.1%	(+.f64 x (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))
✓	85.2%	(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
▶	85.2%	(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
✓	85.2%	(+.f64 x (*.f64 z (cos.f64 y)))
	85.1%	(+.f64 x (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
	59.4%	(+.f64 x (sin.f64 y))
▶	41.9%	(*.f64 (cos.f64 y) z)
	73.9%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (cos.f64 y)))))
	73.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (cos.f64 y) z)))))
	62.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal 1 binary64) x))))
	16.2%	(sin.f64 y)
✓	45.4%	x

Compiler

Compiled 458 to 328 computations (28.4% saved)

localize325.0ms (3.2%)

Algorithm

5×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(log1p.f64 (cos.f64 y))
✓	cost-diff	6528	(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
	cost-diff	12800	(expm1.f64 (log1p.f64 (cos.f64 y)))
	cost-diff	12800	(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 (cos.f64 y) z)
✓	cost-diff	-6272	(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
	cost-diff	0	(*.f64 y z)
	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	cost-diff	0	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	cost-diff	0	(+.f64 z x)
	cost-diff	0	(sin.f64 y)
	cost-diff	0	(+.f64 x (sin.f64 y))
✓	cost-diff	256	(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
	accuracy	99.8%	(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
	accuracy	99.8%	(expm1.f64 (log1p.f64 (cos.f64 y)))
	accuracy	99.6%	(log1p.f64 (cos.f64 y))
	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 (cos.f64 y) z)
	accuracy	100.0%	(*.f64 y z)
	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	accuracy	100.0%	(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
✓	accuracy	99.8%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	accuracy	100.0%	(+.f64 z x)
	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(+.f64 (cos.f64 y) #s(literal 1 binary64))

Rules

758×	`fma-define`
708×	`fma-neg`
628×	`sub-neg`
558×	`sub-neg`
552×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	148
1	34	120
2	69	120
3	176	120
4	447	120
5	1229	120
6	3553	120
7	6404	120
0	8	21
1	9	21
0	12	106
1	20	102
2	43	102
3	67	99
4	82	99
5	88	99
6	110	99
7	145	99
8	149	99
9	151	99
0	10	33
1	11	33
0	15	115
1	22	111
2	35	103
3	49	79
4	95	79
5	212	79
6	563	79
7	1871	79
8	4024	79
9	5633	79
10	7211	79
11	7937	79

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
x
(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
z
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(cos.f64 y)
y

Outputs
(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
(fma.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))) x)
(fma.f64 z (+.f64 (cos.f64 y) #s(literal 0 binary64)) x)
(fma.f64 z (cos.f64 y) x)
x
(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 z (+.f64 (cos.f64 y) #s(literal 0 binary64)))
(*.f64 z (cos.f64 y))
z
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
(cos.f64 y)
(log1p.f64 (cos.f64 y))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
y

Call 2

Inputs
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z

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

Call 3

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

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

Call 4

Inputs
(+.f64 z x)
z
x

Outputs
(+.f64 z x)
z
x

Call 5

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

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (+.f64 (cos.f64 y) #s(literal 0 binary64)))))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 z (+.f64 (cos.f64 y) #s(literal 0 binary64)))
(*.f64 z (cos.f64 y))
z
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
(cos.f64 y)
(+.f64 (cos.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(cos.f64 y)
(+.f64 (cos.f64 y) #s(literal 0 binary64))
#s(literal 1 binary64)

Results

88.0ms

256×

valid

Compiler

Compiled 113 to 42 computations (62.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 17.0ms (32.3% of total)

ival-add: 11.0ms (20.9% of total)

ival-sin: 6.0ms (11.4% of total)

ival-cos: 5.0ms (9.5% of total)

ival-sub: 4.0ms (7.6% of total)

ival-log1p: 4.0ms (7.6% of total)

ival-expm1: 3.0ms (5.7% of total)

const: 2.0ms (3.8% of total)

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

series15.0ms (0.2%)

Counts

8 → 180

Calls

Call 1

Inputs
#<alt (+.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (+.f64 z x)>
#<alt (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))>
#<alt (+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))>
#<alt (*.f64 (cos.f64 y) z)>
#<alt (+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))>

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

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(* y (* -1/2 (* y z)))
1.0ms	z	@	inf	(* y (* -1/2 (* y z)))
1.0ms	y	@	0	(* y (* -1/2 (* y z)))
0.0ms	y	@	inf	(* y (* -1/2 (* y z)))
0.0ms	z	@	-inf	(* y (* -1/2 (* y z)))

rewrite183.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1113×	`log1p-expm1-u`
783×	`expm1-log1p-u`
154×	`add-cube-cbrt`
152×	`add-exp-log`
152×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	160
1	401	152
2	4894	152

Stop Event

1×	node limit

Counts

8 → 250

Calls

Call 1

Inputs
(+.f64 (cos.f64 y) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 z x)
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(*.f64 (cos.f64 y) z)
(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))

Outputs
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (+.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (+.f64 (cos.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 y))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 y))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
(pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))
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(exp.f64 (log.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 #s(literal 1 binary64) z (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(fma.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) y z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y z) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 z #s(literal 0 binary64)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 #s(literal 0 binary64) z))
(+.f64 (.f64 z (+.f64 (cos.f64 y) #s(literal 1 binary64))) (.f64 z #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) z) (.f64 #s(literal -1 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) z) (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) z) (+.f64 (cos.f64 y) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (cos.f64 y) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z x))
(*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (cos.f64 y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 z x) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) x))
(pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) z x))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))

simplify181.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

616×	`cancel-sign-sub-inv`
581×	`fma-neg`
418×	`distribute-lft-neg-in`
378×	`distribute-rgt-neg-in`
292×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	548	12666
1	1200	12177
2	4121	11998

Stop Event

1×	node limit

Counts

430 → 332

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
z
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z))))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
z
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
z
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))
z
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
(+.f64 z (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) z))))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 x (*.f64 z (cos.f64 y)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x)))
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x
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(sqrt.f64 (pow.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 z (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))) z))
(.f64 (fma.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))) z) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))) z)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
(.f64 (sqrt.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)) (sqrt.f64 (fma.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))) z)))
(.f64 (+.f64 (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) (-.f64 (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)))))
(.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) (-.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))) (+.f64 (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) (-.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (.f64 y z) (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (-.f64 z (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) (-.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
(pow.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z))))
(cbrt.f64 (pow.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
(log1p.f64 (expm1.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
(exp.f64 (log.f64 (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))) z)) #s(literal 1 binary64)))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 #s(literal 1 binary64) z (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))) z)
(fma.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) y z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y z) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 z #s(literal 0 binary64)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 #s(literal 0 binary64) z))
(+.f64 (.f64 z (+.f64 (cos.f64 y) #s(literal 1 binary64))) (.f64 z #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) z) (.f64 #s(literal -1 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) z) (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) z) (+.f64 (cos.f64 y) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (cos.f64 y) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z x))
(*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (cos.f64 y) z x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) (sqrt.f64 (fma.f64 (cos.f64 y) z x)))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (cos.f64 y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 z x) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) x))
(pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) z x))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
(+.f64 #s(literal 1 binary64) (cos.f64 y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(+.f64 z (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z)
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 z x) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (cos.f64 y) (.f64 z x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (cos.f64 y) (.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 (cos.f64 y) z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (cos.f64 y) z)))
(pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64))
(fma.f64 (cos.f64 y) z x)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 3 binary64))
(fma.f64 (cos.f64 y) z x)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (cos.f64 y) z x)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 2 binary64))
(fma.f64 (cos.f64 y) z x)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))
(fma.f64 (cos.f64 y) z x)
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) z x))))
(fma.f64 (cos.f64 y) z x)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)))
(fma.f64 (cos.f64 y) z x)
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z x)))
(fma.f64 (cos.f64 y) z x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z x)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) z x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z x)
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 z (cos.f64 y) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z x)
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) x)
(fma.f64 (cos.f64 y) z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z x)

eval472.0ms (4.7%)

Compiler: Compiled 13108 to 7159 computations (45.4% saved)

prune252.0ms (2.5%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	782	8	790
Fresh	4	9	13
Picked	2	3	5
Done	1	4	5
Total	789	24	813

Accuracy

100.0%

Counts

813 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) z) (.f64 #s(literal -1 binary64) z)))
	99.8%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))))
✓	56.1%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
	65.3%	(+.f64 z (+.f64 y x))
	29.5%	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal -1/6 binary64) y))))))
✓	29.7%	(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
	29.6%	(+.f64 z (.f64 y (.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 #s(literal 1 binary64) y)))))
✓	25.5%	(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
	30.2%	(+.f64 z y)
✓	69.0%	(+.f64 z x)
	85.1%	(+.f64 x (*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	85.2%	(+.f64 x (*.f64 z (cos.f64 y)))
	59.4%	(+.f64 x (sin.f64 y))
	41.8%	(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)
	41.9%	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)
	41.9%	(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) z)
✓	41.9%	(*.f64 (cos.f64 y) z)
	41.8%	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z)
	73.9%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (cos.f64 y)))))
	73.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (cos.f64 y) z)))))
	62.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal 1 binary64) x))))
	26.2%	(*.f64 #s(literal 1 binary64) z)
	16.2%	(sin.f64 y)
✓	45.4%	x

Compiler

Compiled 700 to 369 computations (47.3% saved)

regimes135.0ms (1.3%)

Counts

48 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1 binary64) z)
(+.f64 y z)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal 1 binary64) x))))
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
(+.f64 z (.f64 y (.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal -1/6 binary64) y))))))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 x (sin.f64 y))
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) z)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (cos.f64 y)))))
(+.f64 x (*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (cos.f64 y) z)))))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) z) (.f64 #s(literal -1 binary64) z)))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) z)
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z)
(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
(+.f64 x (*.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
(+.f64 x (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) #s(literal 3 binary64)))
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) #s(literal 3 binary64)))
(+.f64 x (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)
(+.f64 x (.f64 z (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+.f64 (+.f64 x (sin.f64 y)) (.f64 z (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))
(+.f64 (+.f64 x (sin.f64 y)) (.f64 z (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+.f64 (+.f64 x (sin.f64 y)) (.f64 z (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))

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

Calls

4 calls:

59.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
45.0ms	y
14.0ms	z
13.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes66.0ms (0.7%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	x
22.0ms	y
18.0ms	z

Results

Accuracy	Segments	Branch
96.0%	3	`x`
92.8%	4	`y`
99.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
96.4%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes55.0ms (0.6%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
20.0ms	z
13.0ms	y

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes35.0ms (0.4%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y
17.0ms	z

Results

Accuracy	Segments	Branch
77.7%	5	`y`
78.6%	5	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.4%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
11.0ms	z
11.0ms	y

Results

Accuracy	Segments	Branch
75.3%	4	`y`
73.0%	3	`x`
71.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
73.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

Outputs
x
(+.f64 y z)
x

Calls

3 calls:

7.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
57.5%	5	`z`
55.8%	5	`y`
63.1%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1 binary64) z)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.5%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	x
0.0ms	z
0.0ms	y

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.016963311106534686	212.31372782750043
25.0ms	-5688.176729577394	-4.969353268868003e-21

Results

33.0ms

304×

valid

Compiler

Compiled 398 to 279 computations (29.9% saved)

Precisions

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

ival-cos: 10.0ms (43.3% of total)

ival-sin: 7.0ms (30.3% of total)

ival-add: 3.0ms (13% of total)

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

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.016963311106534686	212.31372782750043
20.0ms	-4.969353268868003e-21	-8.56175089457979e-26

Results

28.0ms

256×

valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

Precisions

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

ival-sin: 6.0ms (31.5% of total)

ival-cos: 5.0ms (26.2% of total)

ival-mult: 5.0ms (26.2% of total)

ival-add: 3.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch69.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	9345983470277300.0	196422450590910980.0
17.0ms	-4.969353268868003e-21	-8.56175089457979e-26
23.0ms	-1.746873820157895e+30	-2.384438000888291e+25
10.0ms	-3.355930007336452e+161	-1.409332363686848e+161

Results

44.0ms

464×

valid

Compiler

Compiled 468 to 347 computations (25.9% saved)

Precisions

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

ival-cos: 10.0ms (34.5% of total)

ival-sin: 10.0ms (34.5% of total)

ival-add: 5.0ms (17.2% of total)

ival-mult: 4.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

bsearch61.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	5.558018577542376e+196	3.4191833022769537e+199
14.0ms	1.6997366591735075e-136	2.6479848540570524e-136
17.0ms	-1.0349442179501587e-234	-1.3539763898004874e-238
11.0ms	-3.355930007336452e+161	-1.409332363686848e+161

Results

44.0ms

400×

valid

Compiler

Compiled 405 to 288 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sin: 15.0ms (49.2% of total)

ival-cos: 8.0ms (26.3% of total)

ival-add: 4.0ms (13.1% of total)

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

const: 0.0ms (0% of total)

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

bsearch69.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.5694556739682195e-21	8.340904765050186e-14
23.0ms	-79.57110275115441	-7.688878234402206e-7
26.0ms	-1.2610935521154897e+239	-1.039902447890063e+227

Results

47.0ms

448×

valid

Compiler

Compiled 436 to 311 computations (28.7% saved)

Precisions

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

ival-sin: 13.0ms (40.2% of total)

ival-cos: 11.0ms (34% of total)

ival-add: 5.0ms (15.5% of total)

ival-mult: 3.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.5694556739682195e-21	8.340904765050186e-14
22.0ms	-79.57110275115441	-7.688878234402206e-7

Results

29.0ms

288×

valid

Compiler

Compiled 306 to 211 computations (31% saved)

Precisions

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

ival-sin: 7.0ms (37% of total)

ival-cos: 5.0ms (26.5% of total)

ival-add: 3.0ms (15.9% of total)

ival-mult: 3.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.384539459256053e-93	6.519691149256528e-93
21.0ms	-1.8695596814086562e-137	-1.2763250588449479e-151

Results

22.0ms

224×

valid

Compiler

Compiled 214 to 153 computations (28.5% saved)

Precisions

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

ival-sin: 5.0ms (37.1% of total)

ival-cos: 4.0ms (29.7% of total)

ival-add: 2.0ms (14.8% of total)

ival-mult: 2.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.2806530143015416	1.8748040683608986
13.0ms	-1.9026435760251102e-51	-1.4971735120681508e-52

Results

19.0ms

192×

valid

Compiler

Compiled 162 to 121 computations (25.3% saved)

Precisions

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

ival-sin: 5.0ms (38.9% of total)

ival-cos: 4.0ms (31.1% of total)

ival-add: 2.0ms (15.5% of total)

ival-mult: 2.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.2806530143015416	1.8748040683608986
13.0ms	-1.9026435760251102e-51	-1.4971735120681508e-52

Results

18.0ms

192×

valid

Compiler

Compiled 162 to 133 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 4.0ms (34.9% of total)

ival-sin: 4.0ms (34.9% of total)

ival-add: 2.0ms (17.4% of total)

ival-mult: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`if-if-or-not`
7×	`+-commutative`
3×	`1-exp`
2×	`*-commutative`
1×	`*-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	739
1	136	739

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -7746191359077253/9007199254740992 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -552958846246525/85070591730234615865843651857942052864 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1224979098644775/72057594037927936 binary64)) (+.f64 x (sin.f64 y)) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -146000000000000007508819486443544763200821157939388742001409229961038888760667059893931579167345260975561416498065905899465307072622643623641043336801798051594240 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -23999999999999999597346816 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -1595073594941899/332306998946228968225951765070086144 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal 62000000000000000 binary64)) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z #s(literal -145000000000000007970553361245875371351215078193475061151854066906232510211756785723486306239311217290025697710570983994919971729068782704922621233829997019398144 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -8248004328520789/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 2422309049843145/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 z #s(literal 58999999999999998777260482923884462519959192197463138931831337851358479168387691057603613111280065905648484726567633429850149338698575382204611272129741201717995096221988682329058416936155418198016 binary64)) (+.f64 z x) (.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -104999999999999998345896295389455812806264484890714660382403817244293453982850290907594604758596545535968155108754509748685199334596822134227328552431337437412298999924209949162307397755049689960602683964503264913589754106475286888448 binary64)) (sin.f64 y) (if (<=.f64 y #s(literal -16 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 1624177331542419/19807040628566084398385987584 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x))))
(if (<=.f64 y #s(literal -60 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 1624177331542419/19807040628566084398385987584 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 x #s(literal -5663458069607753/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 5284220811241125/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) x (if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 y z) x))
(if (<=.f64 x #s(literal -3032994000054447/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) x (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (*.f64 #s(literal 1 binary64) z) x))
x

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -7746191359077253/9007199254740992 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (or (<=.f64 z #s(literal -7746191359077253/9007199254740992 binary64)) (not (<=.f64 z #s(literal 3602879701896397/2251799813685248 binary64)))) (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (+.f64 x (sin.f64 y)) z))
(if (<=.f64 z #s(literal -552958846246525/85070591730234615865843651857942052864 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1224979098644775/72057594037927936 binary64)) (+.f64 x (sin.f64 y)) (+.f64 x (.f64 z (cos.f64 y)))))
(if (or (<=.f64 z #s(literal -552958846246525/85070591730234615865843651857942052864 binary64)) (not (<=.f64 z #s(literal 1224979098644775/72057594037927936 binary64)))) (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -146000000000000007508819486443544763200821157939388742001409229961038888760667059893931579167345260975561416498065905899465307072622643623641043336801798051594240 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -23999999999999999597346816 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -1595073594941899/332306998946228968225951765070086144 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal 62000000000000000 binary64)) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z #s(literal -146000000000000007508819486443544763200821157939388742001409229961038888760667059893931579167345260975561416498065905899465307072622643623641043336801798051594240 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -23999999999999999597346816 binary64)) (+.f64 x z) (if (or (<=.f64 z #s(literal -1595073594941899/332306998946228968225951765070086144 binary64)) (not (<=.f64 z #s(literal 62000000000000000 binary64)))) (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))
(if (<=.f64 z #s(literal -145000000000000007970553361245875371351215078193475061151854066906232510211756785723486306239311217290025697710570983994919971729068782704922621233829997019398144 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -8248004328520789/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 2422309049843145/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 z #s(literal 58999999999999998777260482923884462519959192197463138931831337851358479168387691057603613111280065905648484726567633429850149338698575382204611272129741201717995096221988682329058416936155418198016 binary64)) (+.f64 z x) (.f64 (cos.f64 y) z)))))
(if (<=.f64 z #s(literal -145000000000000007970553361245875371351215078193475061151854066906232510211756785723486306239311217290025697710570983994919971729068782704922621233829997019398144 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -8248004328520789/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal 2422309049843145/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (+.f64 y (+.f64 x z)) (if (<=.f64 z #s(literal 58999999999999998777260482923884462519959192197463138931831337851358479168387691057603613111280065905648484726567633429850149338698575382204611272129741201717995096221988682329058416936155418198016 binary64)) (+.f64 x z) (.f64 z (cos.f64 y))))))
(if (<=.f64 y #s(literal -104999999999999998345896295389455812806264484890714660382403817244293453982850290907594604758596545535968155108754509748685199334596822134227328552431337437412298999924209949162307397755049689960602683964503264913589754106475286888448 binary64)) (sin.f64 y) (if (<=.f64 y #s(literal -16 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 1624177331542419/19807040628566084398385987584 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x))))
(if (<=.f64 y #s(literal -104999999999999998345896295389455812806264484890714660382403817244293453982850290907594604758596545535968155108754509748685199334596822134227328552431337437412298999924209949162307397755049689960602683964503264913589754106475286888448 binary64)) (sin.f64 y) (if (or (<=.f64 y #s(literal -16 binary64)) (not (<=.f64 y #s(literal 1624177331542419/19807040628566084398385987584 binary64)))) (+.f64 x z) (+.f64 y (+.f64 x z))))
(if (<=.f64 y #s(literal -60 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 1624177331542419/19807040628566084398385987584 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (or (<=.f64 y #s(literal -60 binary64)) (not (<=.f64 y #s(literal 1624177331542419/19807040628566084398385987584 binary64)))) (+.f64 x z) (+.f64 y (+.f64 x z)))
(if (<=.f64 x #s(literal -5663458069607753/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 5284220811241125/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (+.f64 y z) (+.f64 z x)))
(if (or (<=.f64 x #s(literal -5663458069607753/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) (not (<=.f64 x #s(literal 5284220811241125/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)))) (+.f64 x z) (+.f64 y z))
(if (<=.f64 x #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) x (if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 y z) x))
(if (<=.f64 x #s(literal -3032994000054447/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) x (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (*.f64 #s(literal 1 binary64) z) x))
(if (<=.f64 x #s(literal -3032994000054447/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) x (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) z x))
x

soundness957.0ms (9.5%)

Rules

725×	`log1p-expm1-u`
725×	`expm1-log1p-u`
659×	`cancel-sign-sub-inv`
603×	`unpow-prod-down`
568×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	21939
1	1292	21263
2	4387	21130
0	14	50
1	154	50
2	1943	50
0	944	23881
1	2262	22724

Stop Event

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

Compiler

Compiled 283 to 133 computations (53% saved)

preprocess142.0ms (1.4%)

Compiler: Compiled 422 to 192 computations (54.5% saved)

analyze0.0ms (0%)

sample1.4s (14.4%)

preprocess259.0ms (2.6%)

explain108.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize50.0ms (0.5%)

series8.0ms (0.1%)

rewrite238.0ms (2.4%)

simplify116.0ms (1.2%)

eval48.0ms (0.5%)

prune60.0ms (0.6%)

localize345.0ms (3.4%)

series113.0ms (1.1%)

rewrite216.0ms (2.2%)

simplify383.0ms (3.8%)

eval590.0ms (5.9%)

prune488.0ms (4.9%)

localize636.0ms (6.3%)

series38.0ms (0.4%)

rewrite267.0ms (2.7%)

simplify496.0ms (4.9%)

eval407.0ms (4.1%)

prune382.0ms (3.8%)

localize325.0ms (3.2%)

series15.0ms (0.2%)

rewrite183.0ms (1.8%)

simplify181.0ms (1.8%)

eval472.0ms (4.7%)

prune252.0ms (2.5%)

regimes135.0ms (1.3%)

regimes66.0ms (0.7%)

regimes15.0ms (0.1%)

regimes55.0ms (0.6%)

regimes35.0ms (0.4%)

regimes38.0ms (0.4%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

bsearch45.0ms (0.5%)

bsearch40.0ms (0.4%)

bsearch69.0ms (0.7%)

bsearch61.0ms (0.6%)

bsearch69.0ms (0.7%)

bsearch40.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch28.0ms (0.3%)

simplify8.0ms (0.1%)

soundness957.0ms (9.5%)

preprocess142.0ms (1.4%)

end0.0ms (0%)

Profiling