Metrics for Migdal et al, Equation (64)

analyze1.0ms (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 23 to 16 computations (30.4% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.6s (17.2%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 875.0ms

ival-mult: 333.0ms (38.1% of total)

ival-cos: 211.0ms (24.1% of total)

ival-sqrt: 140.0ms (16% of total)

ival-div: 116.0ms (13.3% of total)

ival-add: 52.0ms (5.9% of total)

const: 18.0ms (2.1% of total)

backward-pass: 4.0ms (0.5% of total)

Bogosity

preprocess181.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1241×	`fma-define`
680×	`times-frac`
547×	`fma-neg`
460×	`div-sub`
356×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	606
1	145	562
2	421	562
3	1139	562
4	2837	562
5	5639	562
6	6583	562
7	7394	562
8	7471	562
9	7487	562

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th th (.f64 a2 a2)))
(.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 th th)))
(.f64 (cos.f64 a2) (/.f64 (fma.f64 th th (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th th (.f64 a1 a1)))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain179.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))`
0	-	-	`a2`
0	-	-	`(cos.f64 th)`
0	-	-	`(*.f64 a2 a2)`
0	-	-	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
0	-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`
0	-	-	`th`
0	-	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	-	`(*.f64 a1 a1)`
0	-	-	`a1`

Results

124.0ms

512×

256

valid

Compiler

Compiled 142 to 75 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-sqrt: 27.0ms (31.2% of total)

ival-mult: 23.0ms (26.6% of total)

ival-div: 16.0ms (18.5% of total)

ival-cos: 15.0ms (17.3% of total)

ival-add: 3.0ms (3.5% of total)

const: 2.0ms (2.3% of total)

eval1.0ms (0%)

Compiler: Compiled 40 to 21 computations (47.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize97.0ms (1%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	98.8%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	99.9%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))

Results

65.0ms

256×

256

valid

Compiler

Compiled 81 to 29 computations (64.2% saved)

Precisions

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

ival-sqrt: 11.0ms (26.6% of total)

ival-mult: 10.0ms (24.2% of total)

ival-cos: 7.0ms (16.9% of total)

ival-div: 6.0ms (14.5% of total)

<compiled-spec>: 4.0ms (9.7% of total)

ival-add: 3.0ms (7.3% of total)

const: 1.0ms (2.4% of total)

series28.0ms (0.3%)

Counts

5 → 124

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (+.f64 (.f64 a1 a1) (.f64 a2 a2))>

Outputs
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
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#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	th	@	-inf	(/ (cos th) (sqrt 2))
2.0ms	th	@	inf	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
1.0ms	a2	@	0	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
1.0ms	a2	@	0	(/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))
1.0ms	th	@	0	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))

rewrite297.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`prod-diff`
808×	`log1p-expm1-u`
732×	`expm1-log1p-u`
117×	`add-cube-cbrt`
116×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	170
1	301	150
2	3735	150

Stop Event

1×	node limit

Counts

5 → 211

Calls

Call 1

Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
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(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))

simplify375.0ms (4%)

Algorithm

1×	egg-herbie

Rules

309×	`distribute-lft-neg-in`
296×	`distribute-rgt-neg-in`
286×	`distribute-lft-neg-out`
286×	`associate-l`
283×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	17242
1	1076	15932
2	3965	15894

Stop Event

1×	node limit

Counts

335 → 242

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))

Outputs
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
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(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))

eval169.0ms (1.8%)

Compiler: Compiled 4821 to 3107 computations (35.6% saved)

prune46.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	233	9	242
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	234	10	244

Accuracy

100.0%

Counts

244 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	62.6%	(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	99.5%	(.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	62.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.5%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
▶	99.2%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 298 to 223 computations (25.2% saved)

localize408.0ms (4.4%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
✓	99.7%	(/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	99.6%	(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
✓	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.0%	(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	99.0%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
✓	98.4%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	99.9%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.6%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.7%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Results

311.0ms

256×

256

valid

Compiler

Compiled 215 to 110 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-pow: 92.0ms (50.9% of total)

ival-div: 23.0ms (12.7% of total)

ival-mult: 22.0ms (12.2% of total)

ival-sqrt: 18.0ms (10% of total)

<compiled-spec>: 8.0ms (4.4% of total)

ival-cos: 8.0ms (4.4% of total)

const: 6.0ms (3.3% of total)

ival-add: 3.0ms (1.7% of total)

series154.0ms (1.7%)

Counts

13 → 240

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))>
#<alt (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>
#<alt (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))>
#<alt (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))>

Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
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#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
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#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>

Calls

63 calls:

Time	Variable		Point	Expression
69.0ms	a2	@	0	(* (cos th) (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (pow 2 1/4)) 2))
37.0ms	th	@	inf	(/ (cos th) (pow 2 1/4))
9.0ms	th	@	-inf	(* (/ 1 (pow 2 1/4)) (/ (cos th) (pow 2 1/4)))
4.0ms	th	@	0	(/ (cos th) (pow 2 1/4))
1.0ms	a2	@	inf	(/ (sqrt (+ (* a2 a2) (* a1 a1))) (pow 2 1/4))

rewrite191.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`associate-r`
250×	`log1p-expm1-u`
250×	`expm1-log1p-u`
241×	`add-cube-cbrt`
239×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	371
1	581	330

Stop Event

1×	node limit

Counts

13 → 557

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))

Outputs
(+.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th))) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (cos.f64 th) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/4 binary64)) (pow.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/4 binary64))))
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(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))

simplify563.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

458×	`fma-define`
431×	`associate-/l*`
325×	`times-frac`
286×	`*-commutative`
234×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	998	36401
1	2476	34003
2	6600	33957

Stop Event

1×	node limit

Counts

797 → 649

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
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(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))

Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 th #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (.f64 (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (pow.f64 a1 #s(literal 2 binary64)))))
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(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(fma.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))

eval785.0ms (8.5%)

Compiler: Compiled 18409 to 12822 computations (30.3% saved)

prune322.0ms (3.5%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	898	9	907
Fresh	4	0	4
Picked	2	3	5
Done	0	1	1
Total	904	13	917

Accuracy

100.0%

Counts

917 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	10.4%	(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	99.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	10.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
✓	62.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	62.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.2%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	99.2%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2))
▶	99.2%	(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 290 to 224 computations (22.8% saved)

localize177.0ms (1.9%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.7%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓	99.9%	(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
✓	99.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
✓	99.4%	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.7%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
✓	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Results

126.0ms

256×

256

valid

Compiler

Compiled 159 to 67 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-sqrt: 27.0ms (36% of total)

ival-mult: 16.0ms (21.3% of total)

ival-div: 15.0ms (20% of total)

ival-cos: 7.0ms (9.3% of total)

ival-pow: 5.0ms (6.7% of total)

const: 3.0ms (4% of total)

ival-add: 1.0ms (1.3% of total)

series106.0ms (1.1%)

Counts

9 → 160

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))>
#<alt (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))>

Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
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#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))>

Calls

45 calls:

Time	Variable		Point	Expression
86.0ms	a1	@	inf	(* (* (sqrt 1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
2.0ms	th	@	0	(/ (sqrt 2) (cos th))
1.0ms	a2	@	inf	(/ a2 (sqrt 2))
0.0ms	a2	@	-inf	(/ a2 (sqrt 2))
0.0ms	th	@	inf	(/ (sqrt 2) (cos th))

rewrite205.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`log1p-expm1-u`
238×	`associate-r`
191×	`add-cube-cbrt`
191×	`expm1-log1p-u`
189×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	255
1	424	234
2	6160	234

Stop Event

1×	node limit

Counts

9 → 281

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))

Outputs
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
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(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (cos.f64 th))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))

simplify254.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-r`
653×	`associate-l`
396×	`fma-define`
382×	`fma-neg`
359×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	777	18715
1	1950	17138
2	7853	17134

Stop Event

1×	node limit

Counts

441 → 444

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
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(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (cos.f64 th))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))

Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/24 binary64)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
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(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (hypot.f64 a1 a2)) #s(literal 2 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 3 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (cos.f64 th))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cos.f64 th)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))

eval336.0ms (3.6%)

Compiler: Compiled 15910 to 10842 computations (31.9% saved)

prune138.0ms (1.5%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	881	8	889
Fresh	1	3	4
Picked	2	3	5
Done	2	2	4
Total	886	16	902

Accuracy

100.0%

Counts

902 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
	10.4%	(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	99.2%	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
▶	99.3%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	10.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
✓	62.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	62.4%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
✓	62.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
	99.3%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
▶	99.2%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2))
✓	99.2%	(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
▶	62.4%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
▶	48.9%	(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))

Compiler

Compiled 306 to 241 computations (21.2% saved)

localize178.0ms (1.9%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2))
✓	99.8%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)
✓	99.6%	(pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
✓	99.5%	(*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
✓	72.8%	(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))
	99.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	99.4%	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	99.8%	(*.f64 (cos.f64 th) a2)
✓	99.8%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
✓	99.4%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)

Results

134.0ms

256×

256

valid

Compiler

Compiled 103 to 69 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-pow: 31.0ms (33.6% of total)

ival-sqrt: 22.0ms (23.9% of total)

ival-mult: 21.0ms (22.8% of total)

ival-div: 9.0ms (9.8% of total)

ival-cos: 7.0ms (7.6% of total)

const: 4.0ms (4.3% of total)

series35.0ms (0.4%)

Counts

9 → 132

Calls

Call 1

Inputs
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)>
#<alt (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))>
#<alt (*.f64 (cos.f64 th) a2)>
#<alt (sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))>
#<alt (pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)>
#<alt (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)>
#<alt (.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2))>

Outputs
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt a2>
#<alt (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (pow.f64 th #s(literal 2 binary64)))))>
#<alt (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 #s(literal 1/24 binary64) (.f64 a2 (pow.f64 th #s(literal 2 binary64)))))))>
#<alt (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 (pow.f64 th #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) a2))))))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>

Calls

36 calls:

Time	Variable		Point	Expression
17.0ms	a2	@	0	(* a2 (pow 2 -1/4))
1.0ms	a2	@	0	(* (cos th) (* (* (sqrt 1/2) a2) a2))
1.0ms	th	@	0	(* (cos th) (* (* (sqrt 1/2) a2) a2))
1.0ms	a2	@	inf	(* a2 (pow 2 -1/4))
0.0ms	a2	@	inf	(* (cos th) (* (* (sqrt 1/2) a2) a2))

rewrite179.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1049×	`log1p-expm1-u`
727×	`expm1-log1p-u`
189×	`associate-r`
167×	`pow1`
167×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	195
1	381	192
2	5005	192

Stop Event

1×	node limit

Counts

9 → 240

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (cos.f64 th) a2)
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a2))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) a2))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) a2))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) a2))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 a2)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal 2 binary64))
(pow.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 a2)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(.f64 a2 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)))
(.f64 (.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) a2)
(.f64 (.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) a2))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (cos.f64 th)) (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify150.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

936×	`fma-define`
457×	`associate-r`
404×	`associate-l`
322×	`exp-prod`
306×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	540	10171
1	1193	9913
2	3982	9883

Stop Event

1×	node limit

Counts

372 → 302

Calls

Call 1

Inputs
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
a2
(+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (pow.f64 th #s(literal 2 binary64)))))
(+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 #s(literal 1/24 binary64) (.f64 a2 (pow.f64 th #s(literal 2 binary64)))))))
(+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 (pow.f64 th #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) a2))))))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a2)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
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(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cbrt.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) a2))
(.f64 (cbrt.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (.f64 (cbrt.f64 a2) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) a2))
(.f64 (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 a2 #s(literal 8 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 a2 #s(literal 8 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 a2 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (cbrt.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 a2 (sqrt.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(.f64 (.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(fabs.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) a2))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(.f64 a2 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)))
(.f64 (.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) a2)
(.f64 (.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) a2))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (cos.f64 th)) (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64)))

Outputs
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (sqrt.f64 a2)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) a2)
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 (cbrt.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) a2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 3 binary64))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (.f64 (sqrt.f64 (cos.f64 th)) (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))

eval125.0ms (1.3%)

Compiler: Compiled 4893 to 3536 computations (27.7% saved)

prune77.0ms (0.8%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	366	6	372
Fresh	1	5	6
Picked	0	5	5
Done	0	5	5
Total	367	21	388

Accuracy

100.0%

Counts

388 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.3%	(pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
	10.4%	(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	62.3%	(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	99.3%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	62.4%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	62.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	10.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
✓	62.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	62.4%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
✓	62.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
	99.3%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
✓	99.2%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2))
✓	99.2%	(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
✓	62.4%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	62.4%	(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	62.3%	(.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2))
✓	48.9%	(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))

Compiler

Compiled 596 to 392 computations (34.2% saved)

regimes65.0ms (0.7%)

Counts

35 → 1

Calls

Call 1

Inputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Calls

8 calls:

10.0ms	th
10.0ms	a1
9.0ms	a2
8.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
8.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes35.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))

Calls

6 calls:

8.0ms	th
7.0ms	a2
6.0ms	a1
5.0ms	(*.f64 a2 a2)
4.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes21.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))

Outputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

5 calls:

5.0ms	th
4.0ms	a2
4.0ms	a1
4.0ms	(*.f64 a2 a2)
2.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
62.6%	1	`a1`
62.6%	1	`a2`
62.6%	1	`th`
62.6%	1	`(*.f64 a1 a1)`
62.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))

Outputs
(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))

Calls

3 calls:

3.0ms	th
2.0ms	a2
2.0ms	a1

Results

Accuracy	Segments	Branch
62.4%	1	`a1`
62.4%	1	`a2`
62.4%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2))

Outputs
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))

Calls

3 calls:

2.0ms	th
2.0ms	a2
2.0ms	a1

Results

Accuracy	Segments	Branch
62.4%	1	`a1`
62.4%	1	`th`
62.4%	1	`a2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)

Calls

3 calls:

1.0ms	a1
1.0ms	a2
1.0ms	th

Results

Accuracy	Segments	Branch
62.4%	1	`a1`
62.4%	1	`th`
62.4%	1	`a2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

Outputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

Calls

3 calls:

0.0ms	a2
0.0ms	th
0.0ms	a1

Results

Accuracy	Segments	Branch
62.4%	1	`a1`
62.4%	1	`th`
62.4%	1	`a2`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
3×	`1-exp`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	229
1	46	229

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(.f64 a2 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

soundness1.7s (17.9%)

Rules

1241×	`fma-define`
1146×	`log1p-expm1-u`
1049×	`log1p-expm1-u`
937×	`prod-diff`
808×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	371
1	581	330
0	27	195
1	381	192
2	5005	192
0	998	36401
1	2476	34003
2	6600	33957
0	48	606
1	145	562
2	421	562
3	1139	562
4	2837	562
5	5639	562
6	6583	562
7	7394	562
8	7471	562
9	7487	562
0	22	170
1	301	150
2	3735	150
0	777	18715
1	1950	17138
2	7853	17134
0	28	255
1	424	234
2	6160	234

Stop Event

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

Compiler

Compiled 586 to 347 computations (40.8% saved)

preprocess98.0ms (1.1%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 678 to 456 computations (32.7% saved)

analyze1.0ms (0%)

sample1.6s (17.2%)

preprocess181.0ms (2%)

explain179.0ms (1.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize97.0ms (1%)

series28.0ms (0.3%)

rewrite297.0ms (3.2%)

simplify375.0ms (4%)

eval169.0ms (1.8%)

prune46.0ms (0.5%)

localize408.0ms (4.4%)

series154.0ms (1.7%)

rewrite191.0ms (2.1%)

simplify563.0ms (6.1%)

eval785.0ms (8.5%)

prune322.0ms (3.5%)

localize177.0ms (1.9%)

series106.0ms (1.1%)

rewrite205.0ms (2.2%)

simplify254.0ms (2.7%)

eval336.0ms (3.6%)

prune138.0ms (1.5%)

localize178.0ms (1.9%)

series35.0ms (0.4%)

rewrite179.0ms (1.9%)

simplify150.0ms (1.6%)

eval125.0ms (1.3%)

prune77.0ms (0.8%)

regimes65.0ms (0.7%)

regimes35.0ms (0.4%)

regimes21.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

simplify4.0ms (0%)

soundness1.7s (17.9%)

preprocess98.0ms (1.1%)

end0.0ms (0%)

Profiling