Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample2.3s (19.5%)

Results

502.0ms	1046×	body	1024	valid
499.0ms	3050×	body	256	valid
424.0ms	914×	body	1024	infinite
367.0ms	2273×	body	256	infinite
321.0ms	495×	body	512	valid
153.0ms	477×	body	512	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess217.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3602×	`fma-def`
1050×	`div-sub`
966×	`associate-/l*`
960×	`distribute-lft-in`
748×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	273
1	121	245
2	341	245
3	920	245
4	2205	245
5	3970	245
6	5361	245
7	5949	245
8	6022	245
9	6033	245
10	6038	245
11	7257	245

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))

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

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-def`
44×	`*-commutative`
40×	`associate-/l*`
18×	`associate-/r/`
18×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	61	35
3	91	35
4	118	35
5	136	35
6	154	35
7	174	35
8	176	35

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

eval1.0ms (0%)

Compiler: Compiled 59 to 29 computations (50.8% saved)

prune9.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	4	5

Accurracy

99.6%

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
▶	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 106 to 72 computations (32.1% saved)

localize236.0ms (2%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(cos.f64 th)
✓	99.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	100.0%	(cos.f64 th)
✓	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	100.0%	(cos.f64 th)
✓	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	99.9%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
✓	99.6%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))

Compiler

Compiled 137 to 52 computations (62% saved)

series22.0ms (0.2%)

Counts

12 → 212

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	a1	@	0	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
1.0ms	a2	@	inf	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
1.0ms	th	@	inf	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
1.0ms	a1	@	0	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
1.0ms	th	@	0	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

rewrite156.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow-exp`
780×	`fma-def`
680×	`expm1-udef`
678×	`log1p-udef`
592×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	224
1	430	214
2	5375	214

Stop Event

1×	node limit

Counts

12 → 564

Calls

Call 1

Inputs
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(cos.f64 th)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(cos.f64 th)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(cos.f64 th)

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

simplify304.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-/l*`
978×	`log-prod`
610×	`*-commutative`
568×	`unswap-sqr`
546×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	796	27804
1	1953	25660
2	7155	25596

Stop Event

1×	node limit

Counts

776 → 506

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))))))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 1/24 (/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 6)) (sqrt.f64 2)) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(+.f64 (+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 1/24 (/.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)))))) (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
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1
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(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
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(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
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(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1) (*.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(cos.f64 th)
(*.f64 (cos.f64 th) 1)
(cos.f64 th)
(*.f64 1 (cos.f64 th))
(cos.f64 th)
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(cos.f64 th)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(cos.f64 th)
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(cos.f64 th)
(pow.f64 (cos.f64 th) 1)
(cos.f64 th)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(cos.f64 th)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(cos.f64 th)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(cos.f64 th)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cos.f64 th)
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(cos.f64 th)
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 th)) 1) 1))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 th))) 3))
(cos.f64 th)
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 th))) 1/3))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 th))) 2))
(cos.f64 th)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)

eval303.0ms (2.6%)

Compiler: Compiled 15638 to 8774 computations (43.9% saved)

prune164.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	709	11	720
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	711	12	723

Accurracy

100.0%

Counts

723 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
	63.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	70.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.6%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
▶	98.6%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	98.6%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶	98.7%	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
	98.7%	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
▶	98.7%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
▶	99.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
	63.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	70.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.6%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
▶	98.6%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	98.6%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶	98.7%	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
	98.7%	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
▶	98.7%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 676 to 494 computations (26.9% saved)

localize298.0ms (2.5%)

Local Accuracy

Found 17 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.9%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
✓	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	100.0%	(cos.f64 th)
✓	99.9%	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
✓	99.8%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	99.2%	(/.f64 a2 (sqrt.f64 2))
	100.0%	(cos.f64 th)
✓	99.8%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	99.5%	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
	100.0%	(cos.f64 th)
✓	99.9%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
✓	99.7%	(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))

Compiler

Compiled 170 to 74 computations (56.5% saved)

series18.0ms (0.2%)

Counts

11 → 216

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	th	@	-inf	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
2.0ms	a2	@	-inf	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
1.0ms	a2	@	0	(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
1.0ms	th	@	inf	(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
1.0ms	th	@	inf	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

rewrite132.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`expm1-udef`
832×	`log1p-udef`
516×	`add-sqr-sqrt`
512×	`associate-r`
504×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	243
1	577	231
2	7138	231

Stop Event

1×	node limit

Counts

11 → 353

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(/.f64 1 (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))

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

simplify208.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-l`
1060×	`log-prod`
566×	`associate-/l*`
534×	`*-commutative`
520×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	657	16325
1	1633	15729
2	6199	15713

Stop Event

1×	node limit

Counts

569 → 429

Calls

Call 1

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

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

eval369.0ms (3.2%)

Compiler: Compiled 16997 to 10167 computations (40.2% saved)

prune183.0ms (1.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1064	15	1079
Fresh	3	3	6
Picked	4	1	5
Done	1	0	1
Total	1072	19	1091

Accurracy

100.0%

Counts

1091 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
	98.8%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 2)
	98.7%	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
	15.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	15.7%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	63.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	98.7%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2))
▶	70.2%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	70.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	63.0%	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	70.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	98.7%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 1/2) a2) a2))
	98.8%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
	98.8%	(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 1/2)))
	61.9%	(.f64 a2 (.f64 a2 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))))
▶	70.2%	(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
	70.2%	(.f64 1 (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
▶	99.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
	98.8%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 2)
	98.7%	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
	15.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	15.7%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	63.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	98.7%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2))
▶	70.2%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	70.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	63.0%	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	70.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	98.7%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 1/2) a2) a2))
	98.8%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
	98.8%	(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 1/2)))
	61.9%	(.f64 a2 (.f64 a2 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))))
▶	70.2%	(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
	70.2%	(.f64 1 (/.f64 (.f64 a2 a2) (sqrt.f64 2)))

Compiler

Compiled 998 to 746 computations (25.3% saved)

localize293.0ms (2.5%)

Local Accuracy

Found 16 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.8%	(*.f64 (cos.f64 th) a2)
✓	99.7%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2))
	99.2%	(/.f64 a2 (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.0%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))
✓	95.8%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.8%	(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
✓	99.4%	(*.f64 a2 (/.f64 1 (sqrt.f64 2)))
	98.4%	(/.f64 1 (sqrt.f64 2))
	99.8%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	99.2%	(/.f64 a2 (sqrt.f64 2))
	100.0%	(cos.f64 th)
✓	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.9%	(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	99.7%	(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))

Compiler

Compiled 188 to 88 computations (53.2% saved)

series13.0ms (0.1%)

Counts

9 → 200

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	th	@	inf	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2))
1.0ms	a1	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	inf	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	a2	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite119.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`add-sqr-sqrt`
570×	`pow1`
570×	`*-un-lft-identity`
568×	`associate-r`
540×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	219
1	620	203

Stop Event

1×	node limit

Counts

9 → 278

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(*.f64 a2 (/.f64 1 (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) a2)

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

simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

838×	`associate-/l*`
768×	`log-prod`
708×	`fma-def`
668×	`*-commutative`
638×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	760	18342
1	2137	17730
2	7465	17726

Stop Event

1×	node limit

Counts

478 → 451

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(fma.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)))))
(fma.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 (sqrt.f64 2) -1/2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(fma.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))))))
(fma.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (*.f64 (sqrt.f64 2) -1/2))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th))) (.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 (sqrt.f64 2) (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 1/24 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 (sqrt.f64 2) -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 a1 2) (cos.f64 th))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 -1/2 (fma.f64 a2 a2 (.f64 a1 a1))) (*.f64 th th)))
(fma.f64 a2 a2 (fma.f64 a1 a1 (.f64 (.f64 th th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) -1/2))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 1/24 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4)))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (.f64 -1/2 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (.f64 -1/720 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(+.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (fma.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)) (.f64 -1/720 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 6))))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (fma.f64 -1/2 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 th th)) (fma.f64 -1/720 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 6)) (.f64 1/24 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 th 4)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
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(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 1/2)) 3))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 3) (.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 1/2))) 1))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))) 1)
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) 1) (/.f64 (sqrt.f64 2) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(pow.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) 3)
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(pow.f64 (pow.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 3) 1/3)
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(pow.f64 (sqrt.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) 2)
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(sqrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2))
(sqrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 2))
(fabs.f64 (.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)) (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) (*.f64 (cos.f64 th) (log.f64 (exp.f64 a2))))
(.f64 (.f64 a2 (sqrt.f64 1/2)) (*.f64 a2 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))))
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 3))
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3) (pow.f64 (*.f64 (cos.f64 th) a2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3) (pow.f64 (*.f64 a2 (cos.f64 th)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) a2) 3) (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 1/2)) 3) (pow.f64 (*.f64 a2 (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(exp.f64 (log.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th))))) 1))
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(log1p.f64 (expm1.f64 (.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a2))) 1)
(*.f64 a2 (cos.f64 th))
(pow.f64 (*.f64 (cos.f64 th) a2) 1)
(*.f64 a2 (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a2)) 3)
(*.f64 a2 (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3) 1/3)
(*.f64 a2 (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) a2)) 2)
(*.f64 a2 (cos.f64 th))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 2))
(sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(*.f64 a2 (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) a2))))
(*.f64 a2 (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) a2) 3))
(*.f64 a2 (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))
(*.f64 a2 (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 a2 (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a2)))
(*.f64 a2 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a2)))
(*.f64 a2 (cos.f64 th))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) a2)) 1))
(*.f64 a2 (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a2)))
(*.f64 a2 (cos.f64 th))

eval396.0ms (3.4%)

Compiler: Compiled 15647 to 9389 computations (40% saved)

prune188.0ms (1.6%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	868	9	877
Fresh	4	9	13
Picked	2	3	5
Done	0	1	1
Total	874	22	896

Accurracy

100.0%

Counts

896 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
	98.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 2)
	98.7%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
▶	70.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	15.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	70.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	15.7%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	69.8%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	62.0%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) a2))
✓	98.7%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2))
✓	70.2%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	70.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	63.0%	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
▶	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	98.8%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
▶	70.3%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	15.9%	(.f64 (.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	70.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
▶	98.7%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 1/2) a2) a2))
	98.8%	(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 1/2)))
	61.9%	(.f64 a2 (.f64 a2 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))))
✓	99.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) 2)
	98.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 2)
	98.7%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
▶	70.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	15.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	70.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	15.7%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	69.8%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	62.0%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) a2))
✓	98.7%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2))
✓	70.2%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	70.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	63.0%	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
▶	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	98.8%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
▶	70.3%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	15.9%	(.f64 (.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	70.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
▶	98.7%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 1/2) a2) a2))
	98.8%	(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 1/2)))
	61.9%	(.f64 a2 (.f64 a2 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))))

Compiler

Compiled 1044 to 780 computations (25.3% saved)

localize250.0ms (2.1%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.9%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 1/2) a2) a2))
✓	99.8%	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
✓	99.4%	(*.f64 (sqrt.f64 1/2) a2)
	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	95.9%	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	99.7%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	100.0%	(cos.f64 th)
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.8%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.7%	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))

Compiler

Compiled 144 to 72 computations (50% saved)

series15.0ms (0.1%)

Counts

7 → 120

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	th	@	inf	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 1/2) a2) a2))
1.0ms	a2	@	0	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
1.0ms	th	@	inf	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
0.0ms	th	@	inf	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
0.0ms	th	@	0	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))

rewrite113.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`expm1-udef`
572×	`add-sqr-sqrt`
556×	`pow1`
554×	`*-un-lft-identity`
526×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	167
1	596	157
2	7716	157

Stop Event

1×	node limit

Counts

7 → 193

Calls

Call 1

Inputs
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) a2)
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 1/2) a2) a2))

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

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1114×	`associate-r`
948×	`associate-l`
898×	`log-prod`
590×	`fma-neg`
490×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	11009
1	1327	9915
2	6286	9891

Stop Event

1×	node limit

Counts

313 → 248

Calls

Call 1

Inputs
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
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(/.f64 (sqrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)) a2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 (sqrt.f64 1/2) a2) 3)))
(cbrt.f64 (.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 1/2) 1/2)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 a2 6)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) a2) 3) (pow.f64 a2 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 -1/2 (*.f64 th th))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 (.f64 -1/2 (*.f64 th th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 -1/2 (*.f64 th th))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 (.f64 -1/2 (*.f64 th th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))))
(/.f64 (fma.f64 -1/2 (.f64 th th) 1) (/.f64 (sqrt.f64 2) (.f64 a2 a2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8)) (.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (*.f64 th th))))))
(/.f64 (-.f64 1 (.f64 (pow.f64 th 4) 1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (+.f64 1 (.f64 1/2 (*.f64 th th)))))
(/.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 2))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8)) a2) (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (*.f64 th th)))) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8)) (.f64 a2 a2)) (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (.f64 th th)))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8)) 1) (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (.f64 th th)))) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8)) (neg.f64 (.f64 a2 a2))) (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (.f64 th th)))) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 th 4) 1/4)) a2) (.f64 (+.f64 1 (.f64 1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 th 4) 1/4)) (.f64 a2 a2)) (.f64 (+.f64 1 (.f64 1/2 (.f64 th th))) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 th 4) 1/4)) 1) (.f64 (+.f64 1 (.f64 1/2 (.f64 th th))) (/.f64 (sqrt.f64 2) (.f64 a2 a2))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 th 4) 1/4)) (neg.f64 (.f64 a2 a2))) (.f64 (+.f64 1 (.f64 1/2 (.f64 th th))) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 a2 (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8))) (.f64 (/.f64 (sqrt.f64 2) a2) (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (*.f64 th th))))))
(/.f64 (.f64 a2 (-.f64 1 (.f64 (pow.f64 th 4) 1/4))) (.f64 (/.f64 (sqrt.f64 2) a2) (+.f64 1 (.f64 1/2 (*.f64 th th)))))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8))) (.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (.f64 th th))))))
(/.f64 (.f64 (.f64 a2 a2) (-.f64 1 (.f64 (pow.f64 th 4) 1/4))) (.f64 (sqrt.f64 2) (+.f64 1 (.f64 1/2 (.f64 th th)))))
(/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8))) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (.f64 th th))))))
(/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (-.f64 1 (.f64 (pow.f64 th 4) 1/4))) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 1 (.f64 1/2 (.f64 th th)))))
(/.f64 (neg.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (fma.f64 -1/2 (.f64 th th) 1) (neg.f64 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8))) (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (.f64 th th)))))
(/.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (-.f64 1 (.f64 (pow.f64 th 4) 1/4))) (+.f64 1 (.f64 1/2 (.f64 th th))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 th th) 3) -1/8)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (+.f64 1 (+.f64 (.f64 (pow.f64 th 4) 1/4) (.f64 1/2 (.f64 th th)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 th 4) 1/4)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (+.f64 1 (.f64 1/2 (.f64 th th))))
(/.f64 (.f64 a2 (fma.f64 -1/2 (.f64 th th) 1)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (fma.f64 -1/2 (*.f64 th th) 1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))) 3) 1/3)
(pow.f64 (.f64 (.f64 a2 (pow.f64 2 -1/4)) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2)))) 2)
(sqrt.f64 (.f64 (.f64 1/2 (pow.f64 a2 4)) (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)) a2) (fma.f64 -1/2 (*.f64 th th) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1))) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 3) (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3) (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))))
(exp.f64 (log.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (.f64 th th) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) a2))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) a2) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) a2)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) a2)) 2)
(sqrt.f64 (.f64 (.f64 a2 a2) 1/2))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) a2))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (.f64 (sqrt.f64 1/2) 1/2)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) a2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) a2)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) a2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1))
(/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 a2)))
(/.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(/.f64 (sqrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)) a2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 (sqrt.f64 1/2) a2) 3)))
(cbrt.f64 (.f64 (pow.f64 a2 6) (.f64 (sqrt.f64 1/2) 1/2)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 a2 6)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) a2) 3) (pow.f64 a2 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))) 3) 1/3)
(pow.f64 (.f64 (.f64 a2 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))) 1)
(sqrt.f64 (.f64 (.f64 1/2 (pow.f64 a2 4)) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)) a2) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 a2 6)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (.f64 (pow.f64 a2 6) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th)))) 1))
(exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 2 (log.f64 a2))))
(exp.f64 (+.f64 (.f64 2 (log.f64 a2)) (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))))

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

eval205.0ms (1.8%)

Compiler: Compiled 9817 to 6005 computations (38.8% saved)

prune119.0ms (1%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	571	6	577
Fresh	1	12	13
Picked	2	3	5
Done	1	3	4
Total	575	24	599

Accurracy

100.0%

Counts

599 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.2%	(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
	98.7%	(/.f64 (.f64 (sqrt.f64 2) (.f64 a2 (*.f64 a2 (cos.f64 th)))) 2)
	98.7%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
✓	70.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	15.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	70.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	15.7%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	69.8%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	62.0%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) a2))
✓	98.7%	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (cos.f64 th) a2))
✓	70.2%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	70.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.7%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	15.9%	(.f64 (.f64 th th) (.f64 -1/2 (/.f64 (.f64 a2 a2) (sqrt.f64 2))))
	70.1%	(.f64 (.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
	98.8%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
✓	70.3%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	70.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.7%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
✓	98.7%	(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 1/2) a2) a2))
	98.8%	(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 1/2)))
	61.9%	(.f64 a2 (.f64 a2 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))))
	15.9%	(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 772 to 470 computations (39.1% saved)

regimes186.0ms (1.6%)

Counts

44 → 1

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Calls

8 calls:

51.0ms	th
35.0ms	a2
20.0ms	a1
16.0ms	(cos.f64 th)
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
99.7%	1	`a1`
99.7%	1	`a2`
99.7%	1	`th`
99.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
99.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.7%	1	`(cos.f64 th)`
99.7%	1	`(*.f64 a1 a1)`
99.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 529 to 285 computations (46.1% saved)

regimes186.0ms (1.6%)

Counts

35 → 1

Calls

Call 1

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

Outputs
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))

Calls

7 calls:

68.0ms	(*.f64 a2 a2)
44.0ms	a2
16.0ms	a1
16.0ms	th
13.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 382 to 218 computations (42.9% saved)

regimes128.0ms (1.1%)

Counts

34 → 1

Calls

Call 1

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

Outputs
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 2)

Calls

7 calls:

35.0ms	a2
22.0ms	th
17.0ms	a1
14.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
12.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
98.8%	1	`a1`
98.8%	1	`a2`
98.8%	1	`th`
98.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
98.8%	1	`(cos.f64 th)`
98.8%	1	`(*.f64 a1 a1)`
98.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 369 to 213 computations (42.3% saved)

regimes151.0ms (1.3%)

Counts

33 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))

Calls

7 calls:

65.0ms	a1
15.0ms	th
15.0ms	a2
14.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
13.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
98.8%	1	`a1`
98.8%	1	`a2`
98.8%	1	`(*.f64 a1 a1)`
98.8%	1	`(*.f64 a2 a2)`
98.8%	1	`th`
98.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
98.8%	1	`(cos.f64 th)`

Compiler

Compiled 358 to 207 computations (42.2% saved)

regimes110.0ms (0.9%)

Counts

28 → 1

Calls

Call 1

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

Outputs
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))

Calls

7 calls:

40.0ms	th
13.0ms	a1
13.0ms	a2
11.0ms	(cos.f64 th)
10.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.8%	1	`a1`
98.8%	1	`a2`
98.8%	1	`th`
98.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
98.8%	1	`(cos.f64 th)`
98.8%	1	`(*.f64 a1 a1)`
98.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 311 to 185 computations (40.5% saved)

regimes85.0ms (0.7%)

Counts

23 → 1

Calls

Call 1

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

Outputs
(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 1/2)))

Calls

7 calls:

20.0ms	(*.f64 a2 a2)
12.0ms	a2
11.0ms	a1
11.0ms	th
10.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
98.8%	1	`a2`
98.8%	1	`(*.f64 a2 a2)`
98.8%	1	`a1`
98.8%	1	`th`
98.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
98.8%	1	`(cos.f64 th)`
98.8%	1	`(*.f64 a1 a1)`

Compiler

Compiled 266 to 162 computations (39.1% saved)

regimes71.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

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

Outputs
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Calls

7 calls:

12.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
11.0ms	(*.f64 a2 a2)
10.0ms	a1
10.0ms	a2
9.0ms	th

Results

Accuracy	Segments	Branch
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`th`
98.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 248 to 152 computations (38.7% saved)

regimes179.0ms (1.5%)

Counts

20 → 1

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 1 (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (.f64 th th) (.f64 -1/2 (/.f64 (.f64 a2 a2) (sqrt.f64 2))))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 a2 (.f64 a2 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))))
(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) a2))
(.f64 (.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)

Outputs
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

5 calls:

72.0ms	th
62.0ms	(*.f64 a2 a2)
25.0ms	a2
9.0ms	a1
5.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
72.6%	3	`a2`
74.2%	5	`th`
70.6%	1	`(*.f64 a2 a2)`
70.6%	1	`a1`
70.6%	1	`(*.f64 a1 a1)`

Compiler

Compiled 226 to 135 computations (40.3% saved)

regimes15.0ms (0.1%)

Accuracy

Total -35.1b remaining (-184.3%)

Threshold costs -35.1b (-184.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 1 (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))

Outputs
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Calls

3 calls:

5.0ms	a1
5.0ms	(*.f64 a2 a2)
3.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
70.3%	1	`a1`
70.3%	1	`(*.f64 a1 a1)`
70.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 79 to 53 computations (32.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	265
1	49	265

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 2)
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 1/2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Outputs
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 2)
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 1/2)))
(.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))

Compiler

Compiled 116 to 85 computations (26.7% saved)

soundness3.5s (30.2%)

Rules

1214×	`associate-l`
1214×	`associate-l`
1214×	`associate-l`
1214×	`associate-l`
1214×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	61	35
3	91	35
4	118	35
5	136	35
6	154	35
7	174	35
8	176	35
0	20	224
1	430	214
2	5375	214
0	468	11009
1	1327	9915
2	6286	9891
0	15	39
1	30	35
2	61	35
3	91	35
4	118	35
5	136	35
6	154	35
7	174	35
8	176	35
0	796	27804
1	1953	25660
2	7155	25596
0	28	219
1	620	203
0	760	18342
1	2137	17730
2	7465	17726
0	27	243
1	577	231
2	7138	231
0	657	16325
1	1633	15729
2	6199	15713
0	27	243
1	577	231
2	7138	231
0	657	16325
1	1633	15729
2	6199	15713
0	27	243
1	577	231
2	7138	231
0	657	16325
1	1633	15729
2	6199	15713
0	657	16325
1	1633	15729
2	6199	15713
0	28	219
1	620	203
0	760	18342
1	2137	17730
2	7465	17726
0	20	224
1	430	214
2	5375	214
0	796	27804
1	1953	25660
2	7155	25596
0	657	16325
1	1633	15729
2	6199	15713
0	20	224
1	430	214
2	5375	214

Stop Event

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

Compiler

Compiled 1654 to 988 computations (40.3% saved)

end0.0ms (0%)

preprocess103.0ms (0.9%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 356 to 208 computations (41.6% saved)

analyze0.0ms (0%)

sample2.3s (19.5%)

preprocess217.0ms (1.9%)

simplify7.0ms (0.1%)

eval1.0ms (0%)

prune9.0ms (0.1%)

localize236.0ms (2%)

series22.0ms (0.2%)

rewrite156.0ms (1.3%)

simplify304.0ms (2.6%)

eval303.0ms (2.6%)

prune164.0ms (1.4%)

localize298.0ms (2.5%)

series18.0ms (0.2%)

rewrite132.0ms (1.1%)

simplify208.0ms (1.8%)

eval369.0ms (3.2%)

prune183.0ms (1.6%)

localize293.0ms (2.5%)

series13.0ms (0.1%)

rewrite119.0ms (1%)

simplify190.0ms (1.6%)

eval396.0ms (3.4%)

prune188.0ms (1.6%)

localize250.0ms (2.1%)

series15.0ms (0.1%)

rewrite113.0ms (1%)

simplify134.0ms (1.1%)

eval205.0ms (1.8%)

prune119.0ms (1%)

regimes186.0ms (1.6%)

regimes186.0ms (1.6%)

regimes128.0ms (1.1%)

regimes151.0ms (1.3%)

regimes110.0ms (0.9%)

regimes85.0ms (0.7%)

regimes71.0ms (0.6%)

regimes179.0ms (1.5%)

regimes15.0ms (0.1%)

simplify9.0ms (0.1%)

soundness3.5s (30.2%)

end0.0ms (0%)

preprocess103.0ms (0.9%)

Profiling